diff --git "a/data/dm_maths/full_data_1/1041_11255.jsonl" "b/data/dm_maths/full_data_1/1041_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1041_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -36.9 times -160150?\nAnswer: 5909535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16*i**2 - 15*i + 21. Let w(p) = -3*p**2 + 3*p - 4. Let g(c) = -2*q(c) - 11*w(c). Let y be g(2). Put y, 1, -12 in ascending order.\nAnswer: -12, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:16 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by 139483?\nAnswer: 103\/139483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3))\/c*c)**(-9\/2)\/(c**3\/((c**(-1\/23)*c)\/c)) assuming c is positive.\nAnswer: c**(-139\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 - 3)) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 - (-2 - -5))*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -445 - 9?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 4*n**3 - 13*n - 2*n**3 - n**2 + 15*n to the form i*n**2 + s*n + v + p*n**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-54) - 722\/(-18) - 1*(0 + 8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 44*k**2 + 129*k - 36. Give x(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 8*m**3\/7 - 78*m**2\/7 - 20*m\/7 = 0?\nAnswer: -1\/4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 - 4054 = -72*n. What is the highest common factor of 240 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)*3\/(-2). Sort b, 1, 5 in descending order.\nAnswer: 5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*l - 1158 + 136 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8843 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = j - 962, -4*d - 8*j + 3*j = -3850. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Suppose -2*y - x = p*y - 6, -3*y - 4*x - 10 = 0. Suppose 4*k + y = k - c, 4*k - 9 = c. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**3 - q**2 + 1\/60*q**5 + 0 + 1\/24*q**4 - 2*q. Let t(z) be the first derivative of n(z). Factor t(b).\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.37 + -65.63. Let i = 71 + h. Let u = -1.882 - 0.118. Which is the third biggest value? (a) 0.5 (b) 5 (c) u (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5061 is divided by 1676?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/11 + 7952*b**2 + 2*b\/11 - 7952 = 0. Calculate b.\nAnswer: -1, 1, 43736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/12 - 2\/(-3) - -1. Suppose 3*b = w + 7, 0 = -r*w + 4*b - 6. Solve 29 = 4*j + 5*a - 8, -j = -w*a + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 5. Let s be l(-5). Let f(y) = y**2 - 1310*y + 18184. Let w be f(14). What is the greatest common factor of s and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868 + 1856 + 12*s**2 - 5684 + 1960.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8*l**2 - 15*l**2 - 20*l + 11*l**2)*(l - l - l)*(-2 + 3 + 4).\nAnswer: -20*l**3 + 100*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w + 75*w = -45. Calculate the greatest common divisor of 2952 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-15)\/(-20)). What is the remainder when 29 is divided by (-365)\/(-20) - v\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/7 + 12*f**2\/7 + 16*f\/7 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 7. Let f = -581 + 216. Let p = f - -358. Determine i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (2 - (-8 + -5 + 15 - (5 - 7)))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1349\/7 + -193. Let b = -1.26 + 0.26. What is the nearest to b in 2\/5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/240 and 77\/1308138.\nAnswer: 52325520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -89. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 - 7323*a**2*n**2 + a**2 + 22948*a*n**2 + a*n wrt a.\nAnswer: -12*a - 14646*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9327 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1216?\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639 + 1639 + 1638 - 4916 + 9*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/4)*q**(1\/7) assuming q is positive.\nAnswer: q**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5\/3)*b\/(b**(5\/6)*b)*b)\/(b*b**(-9)*b*b*(b\/(b\/b**13))\/b*b))**(-14\/5))**3 assuming b is positive.\nAnswer: b**(357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148 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: Let h(t) be the second derivative of t**3\/6 - t**2\/2 - 6*t. Let m(v) = 7*v - 5. Suppose -2*k - 2*k = -112. Suppose 4*p + k = 4. Give p*h(q) + m(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 674629 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1926\/7 - 11647\/42. Calculate the common denominator of m and 131\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 6640*v**2 + 1506640*v + 6133120.\nAnswer: 5*(v - 1036)*(v - 296)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29317 + -29282. Sort q, -11, -8 in ascending order.\nAnswer: -11, -8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21617?\nAnswer: 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178675 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 2*a + 3. Let f be k(0). Let b be -420*(f - 1718\/6). What is b rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 13980 = 39*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-40)\/438) - (-3)\/6. Let h be 4\/22 - (3 - 255\/i). Sort h, -0.1, -2, -3 in increasing order.\nAnswer: -3, -2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**4\/4 - 4*y**3 - 6*y**2 - 11*y - 4. Let w be x(-11). Suppose w = -0*j - j + 80. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**3 + 2*z**2 - 2*z - 3. Let l(t) = -57*t**3 - 11*t**2 + 11*t + 15. Calculate -2*l(k) - 11*x(k).\nAnswer: -7*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.3, 4\/7, -0.1 in ascending order.\nAnswer: -0.1, 4\/7, 17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-3*5*-5 - 1*-2*(sqrt(1872) + sqrt(1872) + sqrt(1872)*-3)) + -1)**2.\nAnswer: -1752*sqrt(13) + 9975889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u + 5. Let z(t) = -25*t + 7. Let m(x) = -7*p(x) + 5*z(x). Let w(k) = 6*k. What is m(w(s))?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5367*o = 7860*o - 412*o - 763*o + 566444 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgppdaaaapddpdp. What is prob of picking 3 p and 1 a?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + (-454)\/18. Let h = s - -15. What are the prime factors of 2\/4 - 145\/h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3168487 is divided by 40620.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (36 + -31 - (-7 + 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138566 or -138565?\nAnswer: -138566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 39 = 87. Suppose -41 = -c + 4*i + 22, -c + m = 3*i. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-31)\/((-186)\/36). Solve 4*q = 28 - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 4) to base 3\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.92 times 0.4?\nAnswer: -38.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.6768211 rounded to 2 decimal places?\nAnswer: 92.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8)\/(79005\/2748).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**5*d**(3\/4))**(-5\/6)\/((d**3)**(1\/93))**(-11\/4) assuming d is positive.\nAnswer: d**(-5359\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/21 + (-9)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:43 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 195?\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 227640*s - 1821093. Calculate v(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 176. Suppose 5 = -5*t - v. Let i = -10 - t. Solve -5*c = g + 25, i*c = 3*g - 1 + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -24*k - 99, -95 = 3*y - 3*k - 110 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819762813 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:12 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*q - 462*q = 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110001010 + 10110000010001?\nAnswer: 11111110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 37*x**4\/3 + x**3\/2 - x**2 - x. Is g(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5005 is divided by 134.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*v**3 + 768*v**3 - 1522*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyx when three letters picked without replacement from pkxpkkxxpnkjxxjykyx.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138813 (base 11) to base 14.\nAnswer: 58d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -73\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i + 9. Give k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6892*u**4 - 2*u + 7202.\nAnswer: -27568*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7788 (base 10) to base 3\nAnswer: 101200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/9)*i**11)**(-32) assuming i is positive.\nAnswer: i**(-2848\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Let c be u(-3). Suppose c = 3*w - 5*p - 1097, -w + 2*p - 351 = -2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08065 + 0.0799946. What is g rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3570 = -451*g - 956 + 357 - 3047 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utt when three letters picked without replacement from {f: 1, c: 5, u: 7, t: 5}?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let b be (1 - 3)*61\/(-418). Let m = 9\/19 - b. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.670355l?\nAnswer: 6670.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 5 - ((-4)\/(-8) + -4). Let s(g) be the first derivative of -3\/4*g**4 - g**3 - i*g**2 - 1\/5*g**5 + 0*g - 1. Factor s(h).\nAnswer: -h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**2 - 2*t**2)*(778*t**2 + 87*t - t - 775*t**2).\nAnswer: -9*t**4 - 258*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {b: 15, k: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -2, -1 in decreasing order.\nAnswer: 5, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:16 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4486510 divided by 640930.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 5*n**2 + 4*n**2 + (15 + 5*n - 15)*(-n + 5*n - 3*n) - 2*n**2 + 2095 - 2095.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1089440*h**2 + 361387 wrt h?\nAnswer: -2178880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 153 = -3*y - 4*r, 3*y + 2*r + 91 = 0. Let b be (3 - (-4 + 4)) + y. Let w = b + 36. Solve -5*j + w*j = 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 - 0.14. Let v = m - 0.1. Let l be ((-30)\/80)\/((-2)\/(-4)*3). Which is the nearest to v? (a) -3\/2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5 + 11. Is 5*111 + (2 - w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/1895 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3 + 2*q - 5*q - 1116049*q**2 + 1116052*q**2 + q**3. Let x(w) = 1 - 3*w**2 - 2*w + w**3 + 3*w + 2*w**2. What is r(f) + 3*x(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (199752\/(-140))\/(-41)*(-5)\/30.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/161 - -1\/7. What is the smallest value in -0.2, i, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -11. Suppose u*n + 8 = -4. Let s = n - -7. Solve -s*l - 16 = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 19*d**3 - 147*d + 147*d + 37. Let s(l) = 95*l**3 - 11*l**2 - 186. Let i(j) = -11*c(j) - 2*s(j). Differentiate i(a) with respect to a.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 - 8 = 0. Let v(i) = -2*i**2 + 4*i - 1. What is v(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6714 divided by 97?\nAnswer: 6714\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/68*(-1 - -9). Suppose -9 - 73 = -n*y. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*1*-1)\/(-1*sqrt(432) - sqrt(12)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25176\/611 - -534\/13. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and -112 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 6*s - 4*s + 3*s**3. Let q(l) = 2*l**3 + 3*l. Suppose -1415 = 40*v - 1575. What is v*q(b) - 3*m(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 5*i - 18, -2*d + 20*i = 16*i - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x - 66. List the prime factors of a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 10:44 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 1186*r**2\/3 + 59576*r\/3 - 56072 = 0. What is r?\nAnswer: 3, 86, 326\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -606*f + 604*f - 6*f**4 - 1 + 9*f**4 - 163*f**3 + f**4 - f**2 to the form k*f**4 + u*f**3 + o + l*f**2 + s*f and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 2, 4817, -9\/2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15293198, 30586445, 45879692?\n\"Answer: 15293247*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(1\/(70\/(-7)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4 + 4632*h*t**3 + 752*t**3 + t**2 - t wrt h.\nAnswer: -4*h**3 + 4632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -59 + (-2059)\/(-87).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r + 669. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2246458 + -2?\nAnswer: -2246460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) 0.1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 327158 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -13*o + 56. Suppose 3*j = b + 42, 2*j + b = o*b + 21. What is the smallest common multiple of 40 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3672)\/272)\/(6\/4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/23))\/i)\/i**(-13)*(i**(1\/3)\/i)\/(i**(-4)\/i) assuming i is positive.\nAnswer: i**(1202\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 5*v + 5. Let p(a) = 2*a**2 + 4*a - 4. Let j(l) = -4*i(l) - 5*p(l). Let b(m) = 11*m**2. What is j(b(t))?\nAnswer: -242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*2583\/(-123)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 32*l**2 - 134*l + 48. Calculate d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -2*r. Find the third derivative of 88*s**2 - 96*s**2 - 3*s**4 + 13*s**r wrt s.\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.72 - 1.72000055. Round r to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 3 = -46 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3661714710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063733592 rounded to seven decimal places?\nAnswer: 0.0000637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 1. Suppose -21*q = -11*q - 20. Let w(a) = 31*a - 59. Let b be w(q). Calculate n(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + 3*-1*sqrt(114) + sqrt(114))) + 1*sqrt(114)*-1)\/(sqrt(42)\/(-3*sqrt(28)\/sqrt(4))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlenlsmmmeemlmemds. Give prob of sequence dem.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248856 divided by 6152?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 708592.48 to the nearest one hundred.\nAnswer: 708600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 176\/18 + 6\/27. Suppose 5*v = -l, -3*a + 2*v - 7*v + 8 = 0. Suppose -5*p - 4 = a. Let g(u) = u**2 + u - 2. Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1111*k**3 - 2940*k**2 + 8028349*k?\nAnswer: -6666*k - 5880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 4, 2, 28\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaba when four letters picked without replacement from aabbabbbjabababbbjb?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(66)\/sqrt(6)*-1*6.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0*g**2 - 2*g**2 - 7*g**5 + 6*g**5 + 6*g**3 - 7*g**5 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16728*w = 825982 + 428618 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5))**(-36))**(-2\/63))**20 assuming r is positive.\nAnswer: r**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/754 and 103\/769138?\nAnswer: 9998794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 2. Suppose 7*q = 2*q. Suppose q = -2*y - 10, -g = 2*g - 4*y - 29. Let k(t) = 6 + g*t - 3 - 1. Give 6*k(a) + 5*l(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5577*m**2 + 4*m - 192. Let g(t) = -2*t**2 + 3*t + 21. Let a(r) = 4*g(r) - i(r). Find the second derivative of a(y) wrt y.\nAnswer: -11170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**2 + 47*t. Let a be x(5). Suppose -a*o = 7 - 117. Suppose 0 = -3*n - 2*f + 6*f + o, 5 = 2*n - 5*f. Solve 5*c - n = -25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v - 88*v - 223*v = -9288 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1, 3761?\nAnswer: 3761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.63 - -0.63. Let l = -248.4 + 252.4. Which is the closest to -2\/3? (a) v (b) l (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53\/60 + (1 - (-34)\/(-30)). What is the biggest value in 0, x, -3, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -3, 48, 117?\n\"Answer: 9*q**2 + 6*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2358*(8\/16 + 0). Calculate the highest common divisor of 63 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 0.7 (c) 2\/19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*-1*(-4)\/(-12). What is the units digit of ((-10)\/15)\/(m\/(-33))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p**3 + 8*p + 53*p**2 - 6*p**2 - 7*p + 17*p**3 as h + w*p**2 + j*p**3 + k*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 198*t**2 - 2835*t + 11664.\nAnswer: -3*(t - 48)*(t - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 7*n - 6. Suppose -3*w - 20 = -4*b, w + 10 = b + b. Suppose 3*g = k, 3*k = 2*g - w + 7. Suppose -4 = 5*i + g, 4*i + 19 = 3*t. Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 2*v + 3. Suppose 2*k - 4 = 4. Let f be z(k). Suppose -y = -4*y + f. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 - -640. List the prime factors of w.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 4*i - 8 = -2*r, -4*i = 4*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*r = -2*h - 74*r - 33, -8 = -3*h - 4*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 2*m - 2, -8*s + 5*s - m + 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) 2 (d) -1198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3526579 micrometers to nanometers.\nAnswer: 352.6579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105540 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 26 - 2. Let u(l) = -2*l - 7. Let v be u(o). Let f = 2 - v. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18018 and -7\/66?\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from mmmmmmmxmmmmmmmmmmmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**4*g - 6*d**2*g + 216*d**2 + 1388*g wrt d?\nAnswer: -4*d**3*g - 12*d*g + 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1401 - -10?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1649352?\nAnswer: 2, 3, 19, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2490 and -23\/4.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 + 0 + 0)*(1 + w - 1) - 3*w + 3*w + 3*w**4 - 2*w**4 + 8 - 1 - w**3 + w**4 as f*w**4 + d*w + l + j*w**2 + b*w**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcggqgwcwcwwwwc. What is prob of sequence qq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 4*p = 60. Factor -8\/5*b**3 + 0 + 6\/5*b**p - 2\/5*b**2 + 4\/5*b.\nAnswer: 2*b*(b - 1)**2*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2483.71 - -2305.903. Round g to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820132.\nAnswer: 2, 455033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53850817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 9*d - 7*d + 203, -3*a + 118 = -5*d. Factor a*r + 18*r**2 - 61*r + 75*r**3 + 2*r**2.\nAnswer: 5*r*(3*r + 2)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8783\/10 + -875. Let b = -2\/585 - 3571\/1170. What is the common denominator of b and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*l - 132*l + 2*j + 862264, 5*j - 45 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/3 + 4*s**3\/3 + 14*s. Let b(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*g. Differentiate l**2 - l**2 + 0*l**4 + 2 + 2*l**g with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c0 (base 15) to base 10\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -q + 26. Let v(b) = -b + 9. Let h be v(6). Suppose -1 = -x, x - 5*x = h*t - 58. What is the greatest common factor of q and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 0*s**3 + s**3 + (s - s - 2*s**2)*(-30*s - 6294 + 6294) + 1 - 1 + 2*s**3 as o + v*s**3 + r*s**2 + f*s and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w. Let n(z) = 2*z**2 + 5*z + 1. Suppose -3*c = -5*c + 8. Let v be 5 - c*12\/16. What is v*n(k) + 5*p(k)?\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -18433 != -18434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-5))\/((-20)\/40))\/(3\/105).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5000 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 2 (b) -2 (c) 6\/47 (d) 0.5 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 4\/(-12)*-3. List the prime factors of -29*(3\/o)\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -8, -4.\nAnswer: -26, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 225 = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o - 10. Let n(x) = 31*x - 10. Let h(i) = -148*i + 48. Let k(b) = 5*h(b) + 24*n(b). Determine t(k(f)).\nAnswer: -32*f - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 12) to base 10.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -69, 0 in descending order.\nAnswer: 3, 0, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**7*o)*o)**(2\/19))**(-15\/2) assuming o is positive.\nAnswer: o**(75\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1922 - -1926. Which is the smallest value? (a) x (b) 39 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121335420 (base 6) in base 5?\nAnswer: 1043031341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 12*h - 9. Suppose 1340 = h*a + 413. Differentiate 6*f + a - 225 + 84 with respect to f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from {m: 1, b: 3, o: 6, r: 4, h: 2}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 3*u**2 - u**2)*(-u**2 + 4*u**2 - 2*u**2 - 10).\nAnswer: -3*u**4 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Let v(z) = -8*z. Let o be v(x). Let u = o + -3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180837\/462139*(-874)\/(-30)?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1088, 2, 4, -7 in increasing order.\nAnswer: -1088, -7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 9*c**2 - 9*c - 14. Let u = 5 - -5. Let p be k(u). What is the units digit of (-7)\/p + (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 2*g - 1. Let j = 39 - 36. Suppose 0 = n + 1, l + 2*n + j*n = 101. What is the remainder when l is divided by i(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -35, -39, -59, -101?\n\"Answer: -i**3 + i**2 + 10*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.4 or -2110?\nAnswer: -2110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171492 - -1197720\/7. Let v = -1555\/4 - y. Calculate the common denominator of (-3)\/(-12) + 43\/20 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7849 + 7852. Factor -d**l + 1\/4*d**4 + 0 + 0*d + d**2.\nAnswer: d**2*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.47 - -14.47000133. What is a rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8640 - 2393. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295*t**2*w**3 - 166*t**2*w**2 + t**2 + 117*t*w**3 - 26*t*w**2 - 59*w wrt t.\nAnswer: -590*w**3 - 332*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000626 rounded to 7 decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*h - 4 + 0 as d + w*h and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2. Let c(i) = -6*i**3 + 6*i**2 + i + 1. Let y = 15729 - 15725. Determine y*p(j) + c(j).\nAnswer: -2*j**3 + 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-672)*(-4)\/(-10))\/((-4)\/(-4))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 1231. What is w(-309)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 6. Let s(w) = -w + 1. Let p(v) = n(v) + 2*s(v). Let i be p(5). Solve g + 2*g = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (12 - (11 - 6 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4220 and 5486?\nAnswer: 54860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 947738 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**6\/300 - h**5\/25 - 37*h**4\/60 - 2*h**3 - 209*h**2\/2 + 147. Let t(p) be the second derivative of d(p). Factor t(w).\nAnswer: 2*(w - 10)*(w + 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.3, 1\/2, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335819 is divided by 1311.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139763 + -330?\nAnswer: -139a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**4 + 0*i**3 + 4\/105*i**7 + 38*i**2 + 0*i**6 + 0 + 0*i**5 + 0*i + 1\/168*i**8. Factor c(d).\nAnswer: 2*d**4*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.738 - -2.716. Let d = -35.846780196 - -35.86878. Let f = d + a. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 33\/179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 1 - 1)*(2*i + i - 2*i) - 105*i + 8*i**2 + 116*i - 7*i**2 to b + t*i + d*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-630)\/525*10\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - b + 3*b)*(-16 + 9 - 23) to f*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1\/2 (c) 0.06 (d) -2 (e) 164\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8783*q**4 + 7803*q**2 - 7491245*q.\nAnswer: 105396*q**2 + 15606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Suppose 4*d = 5*n - 169, 168 = n + 3*n + g*d. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2072.85ml?\nAnswer: 2.07285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057087 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6274 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -468.144 and 0.\nAnswer: -468.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 + 130 = 3*p, -5*p = -2*h - 223. Let w be -633*(-3)\/13 - 16\/208. Let t = p + w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112.36 + 111.46. Which is the fourth biggest value? (a) -3 (b) 35 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*r = -31 + 759. Let d(x) be the second derivative of x**3\/3 - 2*x**2 - x. Calculate d(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 0)*(-2*b + 2*b - b) + 2*b - 3*b + 2*b + 3*b - 4*b + 3*b)*(-3*b**2 + 2*b - 2*b) in the form x + h*b + q*b**2 + s*b**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3482\/3063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4215 + 2253 + 1572 - 6*c.\nAnswer: -6*c + 8040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18998510.\nAnswer: 2, 5, 743, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11785 + 11830. Calculate the remainder when 179 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 + 7 + -3 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**4\/9 + 50*s**3\/3 + 58*s**2\/9 - 200*s\/3 - 296\/9 = 0.\nAnswer: -37, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5666367833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.48 + 149.5547. Let y = -0.0747 + l. What is the nearest to 11 in y, 0.4, 0.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(3*t + 3*t - 5*t + (-3 + 3 - t)*(0 + 2 - 3) - 3*t + 2*t + 2*t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(40)\/sqrt(4)) + sqrt(5) + (sqrt(605)*-2)**2.\nAnswer: 2*sqrt(5) + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.9 and 10.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -23. Let f = -2.77 - 11.73. Let t = f + x. Which is the second biggest value? (a) -1\/8 (b) -3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-3597)\/(-1308)*1\/22*4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 43.9. What is the nearest to b in -4\/5, 3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 20*p**2 + 265927. Let n(q) = -4*q**2. What is u(n(b))?\nAnswer: 320*b**4 + 265927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36091862033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148519 (base 14) in base 13?\nAnswer: 19284c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1380320 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179015128*s**5 + 8183*s + 3356 wrt s?\nAnswer: -3580302560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242 - 2180\/9. Let g = 12.13 + -12. Let s = 0.13 - g. What is the nearest to s in 1, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242160 + -13373?\nAnswer: 226565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-876))\/((-121)\/(-27) - 5). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-182)\/(-26))\/(-7))\/(1\/36*-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 26. Suppose c = -h + 13. Let i(o) = 26*o**2 + o - 3. Is i(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66727*r**3 + r**2 + 66617?\nAnswer: 200181*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1599, 3194, 4789, 6384, 7979, 9574?\nAnswer: 11169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -730?\nAnswer: -72e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-92)*-4*2193\/1204 - 6\/84.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -a + 13. Suppose -9 = -2*o + 3*l, o - 6 = -2*o + 2*l. Let w be (-2)\/1 - (-9 - o). Solve w*k - 4*k + 9 = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5184)*3)\/((sqrt(96)\/sqrt(2)*1)\/sqrt(4)).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/8 - 63131*w**2 - w\/8 + 63131.\nAnswer: (w - 505048)*(w - 1)*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37272 and -616.\nAnswer: -22959552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s**2 + 0)*(-4*s + 4*s - 7*s + 47*s + 117*s + 22*s + (0 + s + 0)*(-2 + 2 - 1)).\nAnswer: -178*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -0*c - 2*c, 4*c - 15 = -3*q. Suppose -b - 2*b = -15. Suppose 2*j + b = -c*j. Let u(d) = 5*d. Calculate u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*i + 73 = 0, 5*s = -14*i + 19*i + 335. What is the biggest value in -3, 1\/2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - 101\/((-3838)\/2090).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3181017 is divided by 85.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h. Let u be j(-2). Let f be (u\/6)\/(-2)*-3. Let i be f\/4 - (-21)\/6. Which is the biggest value? (a) -2\/9 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 7*t**2 + 3. Determine v(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = -2*y - 8, 0 = 4*c - 4*y - 16. Let t = c + 2. Solve -4*s - t*a + 2 = 0, 3*a = 2*s - 0*a + 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3*a**4 + 27*a**2 - 8*a**2 - 5 - 18*a**2 to p*a**4 + o*a**3 + v + b*a**2 + u*a and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*w + 3 - 3 + 34*w)*(-5*w + 3*w + 0*w).\nAnswer: 182*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 2. Let k be v(1). Suppose 0 = -k*z + 4*g + 12 + 17, 3*z + 2*g - 17 = 0. Find the second derivative of i - 4*i - z*i**3 + 6*i - 4*i wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -30*h**2 + 18. Let y(o) = o**2 - 1. Let q(i) = -2*v(i) - 36*y(i). Let n(u) be the first derivative of u**3\/3 + 1. Calculate n(q(j)).\nAnswer: 576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/35))**(7\/5))**(-5\/12) assuming p is positive.\nAnswer: p**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 101. Let p be 64\/o - (-1)\/(2\/3). Which is the second biggest value? (a) -2 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d**2 - 3*d**2 - d)*(-1553 - 5338 + 4255 - 2500 - 6310).\nAnswer: 11446*d**2 + 11446*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85.76908ng?\nAnswer: 0.08576908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 4. Suppose -6*a = -f*a. Solve a = o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 3520*n + 774400 = 0. Calculate n.\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21211212 - 1?\nAnswer: 21211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 32584480*f - 53087416843520.\nAnswer: -5*(f + 3258448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -93*r + 42. What is the units digit of y(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37945, 37940, 37933, 37924, 37913, 37900?\n\"Answer: -s**2 - 2*s + 37948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5\/2 + 15*l**4\/2 - 9*l**3\/2 - 123*l**2\/2 - 87*l - 36 = 0. Calculate l.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 770761\/10 + -77142. Let u = 66 + k. What is the common denominator of -63\/10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 2. Let g be u(-2). Suppose 4*c - 3*c - 26 = g. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 23*q**2 - 37*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011001100101000001 (base 2) in base 12?\nAnswer: 9a9b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvzz when four letters picked without replacement from zzzjvvvjvjjzjzj.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3*y - 31*s**2*y - 7*s**2 - 47*y - 22 wrt s?\nAnswer: 3*s**2*y - 62*s*y - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 9, w: 4, x: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**4\/6 - d**3\/2 + 185*d**2 - 7*d + 1. Let t(r) = r + 2. Let i be t(-5). Give u(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = -3*h - 8, 2*t = 8. Suppose h = -i - 5*q + 90, -3*i + 320 = q + 4*q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -739*w**2 - 125*w - 471. Let i be c(-4). Round i to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.8. Sort 3, -1, h.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 2*j**5 + 0*j**3)*(188 - 441 + 183).\nAnswer: 140*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 8638. Let j(q) = 3*q**2. What is u(j(h))?\nAnswer: -9*h**4 - 8638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 4. Let t(y) = 6*y - 5. Let s(l) = 5*h(l) - 4*t(l). Let r(i) = -44*i**2. Calculate r(s(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 22525075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 19. Calculate the greatest common factor of f and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -1019\/10. Let m = -5634 - -5712. What is the fourth smallest value in m, -3\/2, -0.2, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 6*h + 12. What is the remainder when 16 is divided by q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:20 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.458 - -1.358. What is the nearest to j in 0.4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187762 divided by -1?\nAnswer: 187762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + -2 + 1 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 331. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 8:50 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119.851 - -2.599. Let s = r - 112. Round s to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -9*j + 5*j, 0 = 4*y + j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19209.\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14*y = 50. Put 2\/11, -8, -0.4, y in descending order.\nAnswer: 2\/11, -0.4, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - (-178778)\/(-1562)) + (6\/(-11) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 0*x**4 - 6*x**3 - 13*x**2 + 24*x + 25*x**2 - 24*x**2.\nAnswer: 3*x*(x - 2)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba7 + -29f6d?\nAnswer: -293c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20745 = -5*i + 5560. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 36*d - 210 + 194 = 0, -5*d - 11 + 2 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002702 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 66158?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 45986*g + 9979440.\nAnswer: -2*(g - 215)*(g + 23208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:30 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -183 + 56 + 22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 37*g**6\/3 + 101*g**2 + 2*g - 49. What is the second derivative of j(z) wrt z?\nAnswer: 1480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvbcvef. Give prob of picking 2 f and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3769.9997281 + 3770. What is u rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6827087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 k when four letters picked without replacement from {a: 4, u: 9, k: 4}?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 9*q - 6. Let s be y(-4). Suppose 5*r + 2*c - s = -0*c, 0 = -c + 2. Solve -6 = -r*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466148309216074.14999979 - -466148303082452. Let n = 6133622 + s. Let i = n - -0.15. Round i to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -44. What is the tens digit of (-5)\/(-2)*j\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -47 (b) 1\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.374 + -0.555. Let i = k - -14.781. Let x = 15 - i. What is the closest to 1 in 4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:21 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 223174949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8841689*w - 19591064 wrt w.\nAnswer: 8841689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -5*n + 23 + 7, -3*n - 4*k = -32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c + 0*c**5 - 1\/6*c**6 + 0*c**2 - 5 + 4\/3*c**3 + 0*c**4. Find the third derivative of l(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 11. Let n be y(-8). Suppose -277 = -4*m - 5*k + 141, -5*m + 527 = 4*k. Let h = n + m. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1676 = 5*j + f - 4*f, j - f = 334. List the prime factors of j.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156040 and 1222?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - x**2 + 0)*(-2 + 3 - 8) - 3*x**2 + 3*x**2 + 3*x**2)*(0*x + 5*x + 0*x) in the form m*x**2 + v + p*x**3 + h*x and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let t = -49 + 57. Suppose -5*p = -t*p + 1065. Let i(r) = -3*r**2 + 355*r - p*r. Determine i(b(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/509 + 1144\/32067. Let v(g) = g**2 + 2*g + 1. Let p be v(-2). Let u(y) = -y. Let k be u(p). Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19026 and 308493906?\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-3)\/1) + 4. Suppose -3*o = -5*q - 2*o + m, 7 = -3*q + 5*o. Let c be q + -4 - (-5 - 0). Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - -1830?\nAnswer: 185b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10997 divided by 1?\nAnswer: 10997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/1176 - m**7\/245 - m**6\/210 + m**5\/105 + m**4\/28 + m**3\/21 + 12*m**2. Factor q(d).\nAnswer: -2*(d - 1)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/8 + 3*x**3\/4 + 17*x**2\/8 - 3*x\/4 - 2 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 359 - 224. Suppose -y + 5*l + 131 = 106, 5*y = 2*l + 33. What is the greatest common divisor of y and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 15 - 17 = -4*l - 2*r + 5, 3*r = -1 + 34 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**6))\/(m\/m**5*m))\/(((m\/(m**(-3\/7)*m))\/m*m)\/((m\/(m*m\/((m*m**(-11))\/m*m))*m*m*m)\/m)) assuming m is positive.\nAnswer: m**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 217 - 95 = 0. Let c be -3*(o\/(-378))\/(-4). Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from lllllllltlllllllllt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 15*i - 64. Let z be u(4). Suppose k = 4*q - 109, 4*k - 23 = -2*q + q. Calculate the greatest common divisor of z and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1607 + 3197 - 1590 - 2691*z**2)*(-1 - 1 + 0) in the form c*z + y + q*z**2 and give q.\nAnswer: 5382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwwhwaawacwwcwahwh. What is prob of sequence wwa?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1535\/6092 + -3\/1523. Sort 185, -2, h, 0 in descending order.\nAnswer: 185, h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4631, 18343, 41211, 73247, 114463?\n\"Answer: 2*z**3 + 4566*z**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 15 + 3 = 0. Suppose -109 = -p*f + 62. Suppose 73 = 4*r - 3*h, -4*r - 2 + 74 = -4*h. Calculate the highest common divisor of r and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2433285, -2433293, -2433301?\n\"Answer: -8*t - 2433277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*n, -30 = -n - 34 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 9 - (-1 - 2). Let y = -6 - -8.3. Let h = y + -2. Which is the third smallest value? (a) 0.1 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8058 + -2026.2.\nAnswer: 6031.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14708619*g**4 + 3321245*g**2?\nAnswer: 353006856*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/960 + 107*v**5\/240 - 635*v**4\/192 + 211*v**3\/24 + 5*v**2 - 59*v. What is o in b(o) = 0?\nAnswer: 1, 2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/532 and -85\/9081392.\nAnswer: 63569744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 2:47 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110362723?\nAnswer: 197, 5636359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/8 + 2*i**2 + 1. Let g(f) be the second derivative of m(f). Let r(v) = -9*v**2. What is g(r(q))?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005 a factor of 311400270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + i = z - 16, i - 16 = -4*z. Suppose -3*y = -3*j + 9869985, -z*j = 5*y - 2*j + 16450010. Round y to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x**2 + 138*x**2 + 52 - 52.\nAnswer: 187*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11146.39785 nanoseconds?\nAnswer: 0.000000000018429890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79528 and 218944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + 4*w - 11 = 0, -3*w = -4*g + 48. Let m be (-21)\/(-9)*-19*-3. Calculate the common denominator of -11\/12 and m\/30 + g\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50232, -50231, -50230?\nAnswer: -50229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:50 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37029 times 5?\nAnswer: 185145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-1)\/(-4))*20. Suppose i*d - 18 = -2*n, 0 = 5*d - 8 - 2. Solve -n*b + 2 + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219929477 - -0.3.\nAnswer: -219929476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 2752754*n = 0. Calculate n.\nAnswer: 0, 2752754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -30. Suppose -q*d = -6*d - 115. Calculate the least common multiple of 11 and d.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*d + 5*l, 741*d = 740*d - 52*l + 50 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, -4, -2, 3.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24206 + -22158.2. Round n to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136291 - -226291. Round t to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/2 + (3159\/(-324) - -5) + 6\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -944, -950, -970, -1010, -1076, -1174?\n\"Answer: -n**3 - n**2 + 4*n - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 5*v + 107 = 0, b + 97 = -5*v. Let w = b - -143. Calculate the remainder when 78 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y - 4*z, -3*y - 4*z = 5 + 1. Solve -y*o + 0*o = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*i**4 + 8*i**3 + 19413*i**2 wrt i?\nAnswer: -1248*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14 - 3*v - 24 + 4*v - 2*v. Determine f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*6)**2 - (sqrt(98) + 5 + 2 + sqrt(98))**2.\nAnswer: -196*sqrt(2) - 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 4*c**2 - 42*c - 22. What is k(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-5 + (-28)\/(-6)). List the prime factors of ((-1626)\/27)\/(n\/189).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1\/6, 2625, -2, 2\/5, 82?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(20\/1036*37))\/((-36)\/(-10))?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 19*m + 3. Determine f(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -16. Let g be w\/(-4)*(-1)\/5. Let m be 0 + -3*(-2)\/(-14). Which is the nearest to 2\/7? (a) m (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b. Let c be 2 + -1 + -2 + 3. Suppose -k - 3 = c. Is 13 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**3\/2 - 69*f**2\/2 - 30*f - 6.\nAnswer: -3*(f + 1)*(f + 2)*(7*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -60*i + 326. What is l(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 36445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0657 and -0.1.\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -5*o + 3*n - 386, -4*n + 24 = 0. Determine j so that 0 + 2\/5*j**5 + 0*j + o*j**2 + 0*j**3 - 2\/5*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155 or -50852\/327?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -106.7. Let l = 4 + 2. Let t be (l\/(-4))\/(-3*3). Which is the smallest value? (a) t (b) n (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 - 990*y + 6529. Give g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8069 * 4.\nAnswer: 32276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*v - 8*v. Suppose 74 = -v*y + 6*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) - (-58)\/40\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 3\/40*o**5 + 7*o + 23\/24*o**4 + 13\/12*o**3 + 0 - 3\/20*o**6 + 1\/2*o**2. Suppose r(y) = 0. Calculate y.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:50 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34740939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 3, g: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/9))\/(f*f*f\/f**(2\/27))*((f*f**5*f*f)\/f)**(-36))**(-50) assuming f is positive.\nAnswer: f**(342500\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + (35 + -13 - 8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 - 137 - 304)*(-53 + 21*j + 53 + (-3 - 4 + 5)*(3*j + 2*j - 3*j) - 4*j - 1 + 1).\nAnswer: -1612*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let v(g) = 25*g**2 - 2*g. What is x(v(f))?\nAnswer: -25*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:57 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -243?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.08, 0, -1.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2 - 571. Let a(b) be the second derivative of 2*b**3\/3 + 7*b**2\/2 + 3*b. What is a(x(t))?\nAnswer: 8*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 10 + 15. Let n be (-46)\/(-3) - (-8)\/12. Let d = -12 + n. Sort g, d, 5.\nAnswer: g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-42) + (-2510)\/105. Let a = v - -371\/15. Which is greater: a or -37\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-5) - ((-63)\/15 + 10). Let z be (58\/174)\/((-2)\/i). Suppose v = -v + 2. Calculate the highest common factor of z and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38892 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 + 7*b**2\/2 + 6*b + 6. Give h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3614*t - 2178*t - 59 + 2453*t + 8948*t.\nAnswer: 12837*t - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - w - 4*w)*(-7 - 5 - 6)*(18 + 25 - 36) in the form q*w + k and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/5 + 44087*c**3\/5 + 7*c**2\/5 - 61723*c + 264522\/5 = 0.\nAnswer: -3, 1, 2, 44087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + 10 - (-3 - 2)*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-66) - 1500\/1125?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 1. Let n(s) = -92*s**2 - 15*s + 1. Let k(i) = -4*c(i) - n(i). What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1226352\/37 or -6?\nAnswer: -1226352\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, -2453, -1, 12 in descending order.\nAnswer: 12, 5, 4, 3, -1, -2453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - (0 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 - n**4 - 8*n**4 + 18*n + 920*n**3 - 917*n**3 to the form l*n**4 + q*n**3 + x*n**2 + i + g*n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -27, -3, 3, 0 in ascending order.\nAnswer: -27, -3, 0, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/5 and -5\/19051?\nAnswer: 95255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (57\/756)\/(8930\/(-940))\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g - 525*g**2 - 30*g.\nAnswer: -525*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1072 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8216? (a) 0.1 (b) 3 (c) -2\/3 (d) 27 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = 4*c - 2, -3*j + 39 = 4*c. Suppose -2 = 2*r - c. What is the highest common factor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c**2 - 53. Let s(a) = 24*a**2 - 561*a. Let p(f) = -3*f**2 + 68*f. Let u(v) = 33*p(v) + 4*s(v). What is d(u(k))?\nAnswer: -117*k**4 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(198\/(-2992)))\/(-2)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (9 - 29) + (-10 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133908 is divided by 620?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*b - 1503 = -1510, -3*y + 27 = 9*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.22277ms to days.\nAnswer: 0.000001021096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 12*w = 3*a - 1332, w - 4*a - 459 = 0. Solve -i - 442 = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1560\/546)\/((-8)\/28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36\/11 (b) -3\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 5, z: 5}. Give prob of sequence zzzz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2)**2*1 - sqrt(1700)) + (-6*(-2 + sqrt(1700)))**2 - (sqrt(2448) - (sqrt(2448)*-1)**2 - ((sqrt(17)*2 - sqrt(17)) + 1))*-5.\nAnswer: -1435*sqrt(17) + 50803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*z - 30, -686 = 5*z + n - 650 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3000109 + -0.3. What is t rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0, 103\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -869000 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25764 - 25762. Factor -4\/7*n**a - 16\/7 + 16\/7*n.\nAnswer: -4*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (4 - (0 - -2))) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2354 + 2359. Let w = 28.41 + -26.5. What is the biggest value in r, w, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(9)*2 - sqrt(25))\/sqrt(5))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204) + sqrt(204) + 2*sqrt(204))*5)\/(-1*sqrt(108) + -6*sqrt(48)\/sqrt(4)) + 2.\nAnswer: 2 + 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -14 + 13 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - t - 2. Let u be l(2). Suppose 0*f + 2*f + 5*m = -22, -3*f = 5*m + 23. Let q be f\/(3\/(-6)) - 2. Sort q, -2, u in descending order.\nAnswer: u, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 2. Let p(o) = -2*o + 5. Let a(z) = 10*n(z) - 6*p(z). Let c(w) be the second derivative of -w**4\/6 + 12087*w. Give c(a(y)).\nAnswer: -8*y**2 + 80*y - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 5*j**2 - 5*j**2)*(-8 - 6 + 2)*(-7 + 9 + 4) to g*j + f*j**2 + k and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003349 + -0.1?\nAnswer: -0.096651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-105)*3*-3. Let d be ((-6 - 5)\/11)\/(-1). Put u, 4, d, 1\/6 in descending order.\nAnswer: 4, d, 1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 8*u**3 - 4946*u**2 + 78292*u - 19264 = 0?\nAnswer: 1\/4, 16, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*x**3*z + 91930034*x**3 - 446793*x*z**2 wrt z.\nAnswer: -90*x**3 - 893586*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1 + a**3 + 10*a - 10*a + a**2. Let x be c(0). Let i(p) = 3*p**2 + 1. Let j be i(x). Solve -j*l - 4 = -5*z - 13, 4*l = 2*z - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-33) + (-1040)\/(-2640).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -7. Suppose 4*d + 8 = -5*b - l, 0 = -d + 3*b + 9. What is the tens digit of -3 - (d - (-4 - -17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312345701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 143.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 27*y - 27 = -5*d, -5*y + d + 81 = 0. Solve -6*i - y*i = 110 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 9. Let y = q - -12.9. Let x = y - 0.4. Which is the second smallest value? (a) 5 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 3 - 1\/60*o**5 + 0*o**4 - 11\/2*o**3 - 4*o**2 + 11\/120*o**6 + 0*o. What is the first derivative of u(d) wrt d?\nAnswer: 33*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, 1 f, and 1 x when four letters picked without replacement from fjwwxzmfmfwwxmm.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-120) - (136\/96 + (-57)\/38). Which is the nearest to -1\/2? (a) 12 (b) p (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/7)\/((-6)\/21). Suppose p - 35 = -j*u, 7*u = 4*u + 4*p + 21. Let i be 13\/52 + u\/4. Solve -i*s - 1 = 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-1)\/v)))\/v)**(11\/4)\/(v**(1\/2)*v*v*v*v*v**(1\/4))*((v\/v**(2\/7))\/v**(-1))\/(v**5\/v*v\/v**(-1\/11)) assuming v is positive.\nAnswer: v**(-1261\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.7918425 to 2 decimal places.\nAnswer: -27.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-210)\/(-280))\/((-3)\/144). Which is smaller: -139\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 10*o + 6. Let d be t(-4). Is (-598)\/d + 10\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 803 and 99.\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*g - 6, -53*c + 50*c = -4*g + 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 18. Let d(q) = -1. Let p(w) = -2*w**3 - 50*w**2 + 120*w + 322. Let a be p(-27). Determine a*u(t) + 18*d(t).\nAnswer: -2*t**2 + 2*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1267 = 1219. What is the remainder when 739 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165183588 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94699395.\nAnswer: 3, 5, 7, 23, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - a - 1. Let u be j(2). What is the lowest common multiple of (2 - u\/(-6))*-8 and 1*(-21)\/14*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.155951 rounded to three dps?\nAnswer: -1.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (140\/(-40))\/(-3 - 25\/(-10)). Solve d*h - 12*h - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:55 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3 - 13*h. Let g(v) = -v. Give g(m(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(((-14784)\/(-152))\/14 - 7)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35497896?\nAnswer: 2, 3, 7, 211297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a factor of 541326358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 106*s + 692. Determine z(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*0.3.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-28 - -29)) + -9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -1\/5, 0.2, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -56*c**2 + 606*c + 126. Give m(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -816, -1227, -1640, -2055, -2472?\nAnswer: -2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64475.54 weeks?\nAnswer: 10831890.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195, 159, 133, 123, 135, 175, 249, 363?\n\"Answer: g**3 - g**2 - 40*g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -1\/4*i**4 + 1\/2*i**2 + 1\/5*i**5 - 1\/3*i**3 + 2 + 0*i. Determine g so that z(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 2 + 0*a**2 + 1\/20*a**5 + 7\/3*a**3 - 1\/30*a**6 + 0*a**4 + 3*a. Find the second derivative of g(q) wrt q.\nAnswer: -12*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 - 11410?\nAnswer: -12204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951 + 4047 = -111*x + 17*x - 35*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 54\/5 of a hour?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0553 and 0.15256.\nAnswer: 0.20786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 26 - (-424 + 447)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -235105410?\nAnswer: 235105402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t + 62*i - 63*i, -4*t - 5*i = -5. Which is bigger: -7\/2449 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - -37?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30256 or 30118?\nAnswer: 30118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12130322112 (base 4) to base 13.\nAnswer: -472a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(1584) - (0 + sqrt(1584)*3) - -5*sqrt(1584)*2))**2.\nAnswer: 576*sqrt(11) + 101385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0 + 0)*(3 + 2*q - 3 + (-4*q + 4*q + q)*(-16 + 3 - 13) - 24*q + 63*q - 3*q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d**3)*(0 - d + 0) + (98*d**2 + 18*d**2 + 63*d**2)*(-d**2 - 1 + 1).\nAnswer: -177*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690045, -690050, -690057, -690066, -690077, -690090?\nAnswer: -690105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 885839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 46 = -8*r. Let c be (-14)\/(-4) - (-2)\/(-4). Solve -2*d = -r + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/4 + u**4\/2 - 1036*u - 2. Let f = 12 + -6. Let c(w) = 5*w**3 + 7*w**2. What is f*c(h) - 7*z(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000864 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 131*y\/5 - 4294.\nAnswer: (y - 95)*(y + 226)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + a1a38?\nAnswer: a1a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - 10*(-7)\/21*3. Let r = 187 - 132. Calculate the highest common factor of d and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -20*o**2 + 32*o + 18. Let r(d) = -5*d**2 + 8*d + 4. Calculate -9*r(k) + 2*s(k).\nAnswer: 5*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -699 (b) -2\/3 (c) -1.2 (d) -2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -2 + 286 - (-4 - (-18)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 44 = 4*v, -v = 0. Let c = g + -10. Let u be 0 - c - (-2 - 5). Solve 5*l - 4 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3207146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 781264, 781327, 781412, 781531, 781696, 781919?\n\"Answer: 2*k**3 - k**2 + 52*k + 781211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(108\/(-24)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let x(d) = 4*d**2 + 4*d - 5. Let o(u) = 5*u**2 + 5*u - 6. Let t(j) = r*o(j) - 6*x(j). Factor t(h).\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let y = -0.8 + s. Let o = -0.8 - -1.1. What is the second biggest value in -1, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.5035 litres in millilitres?\nAnswer: 549503.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -4 (c) -0.3 (d) -3\/6004 (e) 2\/5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167495079?\nAnswer: 29, 40258451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.9645?\nAnswer: 0.9645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = w. What is the remainder when 33 is divided by (-18)\/4*32\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 7. Let x be w(-6). Let i be (x\/2)\/(6\/(-1116)). Let f = 12263\/12 + i. Find the common denominator of 103\/18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 3) + 2)\/(-2). Suppose -k + 2*p = -7, v*p + 29 = 5*k - 4*p. Suppose -k*n + 46 + 19 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (((0 + sqrt(76))*5 - sqrt(76))**2 - ((sqrt(76) + 1)**2 + 1)).\nAnswer: -4*sqrt(19) + 1130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(38)\/(sqrt(200) + sqrt(200)*5) - sqrt(57)\/((sqrt(21)*-1)\/sqrt(7))) + 3)**2.\nAnswer: -61*sqrt(19)\/15 + 85099\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/42 + (-2)\/(-13 + -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let v = j - 4. Which is the third biggest value? (a) 2 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 * 0.07\nAnswer: 17.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((4 + (sqrt(12)*1)\/sqrt(6)*-5)*1)**2 + 5)*3.\nAnswer: -639 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1350 and 22786650.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27469760*t**3*u**2 - t**3*u - 53*t**3 + 2*t**2*u**3 - t + 3*u + 394 wrt u.\nAnswer: 54939520*t**3 + 12*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.16 - -58.16. Which is the closest to 0? (a) 0.2 (b) 5 (c) 0.035 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23310301303 - -1012?\nAnswer: 23310302321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5\/2 - 26*l**3 + 64*l**2 + 96*l - 256 = 0.\nAnswer: -8, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 311*y - 2716. Determine g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417.\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 40*l - 49. Let o be 11\/(77\/(-28)) - (12 - 1). Is m(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -162*o + 4104. Give k(25).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164430821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c - 5. Let b be s(-4). Solve -3*r = 2*d - 2, -2*r + b = d + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 6 - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*l**2 + 0*l**2 - 9*l**2)*(1 - 4 + 5) + 0*l**2 + l**2 - 2*l**2 - l**2 - 4*l**2 + 15*l**2 in the form s*l + t + p*l**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35606745 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1*(-6)\/(-14). Let s = 195\/8 - 2551\/104. What is the closest to 1 in s, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-968)\/506*(-9)\/(-6). Let g = -1061\/506 - v. Calculate the common denominator of -1 + ((-118)\/(-44) - -1) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/2*f**2 + 0*f = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7622770.\nAnswer: 2, 5, 762277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 10*m**2 - 13*m - 14. Let b = -18 - -54. Calculate the remainder when b is divided by w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102000 and 6568.\nAnswer: 83742000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-72)\/(-16))\/(1\/(-8)). Let l be 6\/4*(-22)\/(-1). Suppose -l = 4*o - 13. Put -1, j, o in descending order.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405104023 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -32*z - 25. Put 4, z, 13 in ascending order.\nAnswer: z, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + 180. What is the remainder when t is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*s = 2*t - 33, 6 = 2*t + 3*s. Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -40. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 3) to base 11\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507 - -504. Let r = -231\/320 - 5\/64. What is the smallest value in r, 0.3, d, 0.02?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.5 (c) -1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325423 is divided by 93?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 77?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121201 is divided by 24188.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let p(w) = -7*w - 1. Let t be p(-1). Let d be (10\/t)\/(8\/24). What is the smallest value in -0.2, d, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.041 + -7.041. Let v = 10 + o. What is the second biggest value in v, -6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 330, -6, -3\/4, -910, -0.1 in ascending order.\nAnswer: -910, -6, -3\/4, -0.1, 1, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h. Let v(a) = -a. Let u = -5 + 3. Let y(m) = u*v(m) + l(m). Let o(p) = -7*p + 9. Let s(w) = -3*w + 4. Let n(z) = 4*o(z) - 9*s(z). Give n(y(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-124)\/(-24) - 2 - 4. Let k = 0.2174 - 0.0174. What is the third biggest value in m, -0.3, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 6, m: 3, o: 1, k: 2}. What is prob of sequence ko?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001929 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:05 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23762948\/(-21))\/4 - 8\/(-28). Let z = -282828 - s. Let x = z + -64. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by -10.\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1550.966 + -1551. Put -0.1, h, 5 in decreasing order.\nAnswer: 5, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283199 - 1034*q + 1283199.\nAnswer: -1034*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4\/3 - 215*s**3\/3 + 1415*s**2\/3 - 2665*s\/3 + 490 = 0. Calculate s.\nAnswer: -49, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/120 - n**5\/40 + n**3\/12 - n**2\/8 - 2*n. Factor c(r).\nAnswer: (r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 5.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 + 7 - 7)*(166*d + 76*d - 81*d) + 4*d**2 - 4*d**2 + d**3.\nAnswer: -1126*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 145 = -3*g, -4*m + 1200*g + 116 = 1197*g for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 339*n**2 + 22353*n + 5145. Calculate b(90).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:51 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.0539 less than or equal to -658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 55*o - 19*o = 29 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*f = 297*f - 426 + 186 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 3*f + 2. Let u be x(2). What is the first derivative of -3 + 3 + 1 + 3 + u*l wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**33\/(l**(-1\/4)*l)**(-3\/14)*l\/(l**(-3\/4)\/l*l)*l**(2\/7)*l*(l**(-1))**(-2\/37) assuming l is positive.\nAnswer: l**(-27453\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 43, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-3210)\/(-150) + (-10)\/(-16)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*w = 4*j - 212, -w = 4*j + 406. Let o = -104 - j. What is the second smallest value in o, 0.3, -89, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*u + 5)*(-u - u + u) + u**2 + u**2 - 3*u**2 + (-5 - 1 + 4)*(5 - 5 + 3*u**2).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790690.3g to micrograms.\nAnswer: 790690300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than 1824?\nAnswer: 1824.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123154 (base 7) in base 5?\nAnswer: -13443000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 - 18*s**2 + 49*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 4, -2\/7, 0.1 in increasing order.\nAnswer: -2\/7, -0.01, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 12a7a93?\nAnswer: -12a7a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 78074b?\nAnswer: -780733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*d - 14, 0 = 5*f - 8 - 17. Suppose 0 = -0*g - 3*g + d. Let m(u) be the third derivative of -5*u**4\/24 + u**3\/3 + 2*u**2. What is m(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:00 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:21 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24248.57mg in micrograms?\nAnswer: 24248570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - -0.1. Let g = -1 - j. Which is the nearest to 1? (a) -4\/9 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120161981 rounded to 7 decimal places?\nAnswer: 0.0001202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41626 or 41609?\nAnswer: 41626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g + 6 = 2*h, 4*g = 3*h - 5. Is (4 + 37\/g + 6)*-734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700 = -0*i + 10*i. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 0, 0 = 4*x + x + 2*j - 513. What is the remainder when x is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2) + 195\/26. Solve -o*q = -160 + 140 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 7*d**3\/6 + 7*d**2\/2 + 206*d. What is g(-7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 - -30?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/329 + 311\/2961. Which is smaller: -0.2 or z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 45*h = -112. Let d be (8\/(-20))\/(h + 795\/200). Solve -d = 9*n + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 24*k**2 - 98*k - 825. Calculate r(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 11. Suppose 8*p = -17 - 7. Let w(b) = 2*b**3 - 4. Let q be (-58)\/(-7) - (-2)\/(-7). Give p*r(l) + q*w(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43655, -87272, -130889, -174506?\n\"Answer: -43617*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7)*n**(4\/21))\/(((n\/n**(4\/9))\/n)\/(((n\/((n\/(n*n\/(n*n*n**12*n)))\/n))\/n)\/n*n)))**(-40) assuming n is positive.\nAnswer: n**(29720\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121072501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(43\/(-258))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 - 21*x**2 - 19*x**2 + 33*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-18249)\/528)\/(-79))\/21\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 17. Suppose -3*d = -x*b - 5, -4*d = -0*b - 4*b. Suppose 3*y = d*f + 17, 2*y + 4*f - 19 = 29. What is the greatest common divisor of y and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(33)\/(-2*sqrt(3)) + -5 - -6*sqrt(33)\/(sqrt(108)*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 176, 345, 514, 683, 852, 1021?\n\"Answer: 169*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86747 (base 9) in base 12?\nAnswer: -29314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*t = 24 + 4, -t + 5*t - 8 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**4*t - 9*r**3*t + 3*r**3 + 33*r**2*t + 10*r**2 + r - 2*t wrt r.\nAnswer: 72*r*t - 54*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9071984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19158346*s**2 - 97*s + 53136 wrt s?\nAnswer: 38316692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2. Let a(s) = -s**3 - 8*s**2 - 6*s + 4. Let y(i) = -a(i) - d(i). Determine y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 2*(sqrt(832) + -1))*1 + 3 + 2 + -2.\nAnswer: -80*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1206*q**3 + 4*q**2 - 557*q - 4. Let g(d) = -1194*d**3 + 5*d**2 - 558*d - 5. Let y(s) = -4*g(s) + 5*j(s). Find the second derivative of y(i) wrt i.\nAnswer: -7524*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyjuljjjyjjlitl. Give prob of picking 1 j, 1 i, 1 t, and 1 u.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62374 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2 - 26. Let s(d) = 57*d**2 + 2. What is a(s(b))?\nAnswer: -38988*b**4 - 2736*b**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 3820892?\nAnswer: 5\/1910446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93.44 - -91.2. Let f = z - -2.54. Let k = 47 + -189\/4. Put 3, 0, f, k in decreasing order.\nAnswer: 3, f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -69 (b) 0.3 (c) -1\/7 (d) -0.299 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/56)\/((-2)\/(-2012)). Let b = f - 72. Sort -3, 0.5, b.\nAnswer: -3, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 9 + 25\/8*x + 1\/24*x**3 + 5\/8*x**2. Determine l so that i(l) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 31 = -4*t, 0 = -t + 4*t + 5*o - 6. Let y(q) = q + 9. Is y(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 211 + 383. Is r a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -683\/36 - -83\/4. What is the common denominator of a and -29\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/12023 and 15\/4372.\nAnswer: 48092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*l - 13*l**2 + 99*l + 248*l - 596*l.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 6. Let y be v(-8). Let r be y\/12 + (-7)\/42. List the prime factors of 24\/r + 0\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1336.7268us to days.\nAnswer: 0.000000015471375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, a: 1}. What is prob of picking 1 m and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnllllllllnllln. Give prob of sequence llnl.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a**2 - 14*a. Let q be 4\/6 + 20\/15. Let l(c) = -c + 2*c**2 + q*c - c + 3*c. Give 14*l(t) + 3*z(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109\/1122 + -2\/51. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3207, 0.5, -3\/7, -0.1, 2\/225?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 8*d - 17. Let f be b(10). Suppose f*m - 31 + 16 = 0. Solve m - 25 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*p = 299462 - 280427 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-1120)\/(-1248)) + 1*1*-5. Factor 169\/7*q**2 + 52\/7*q + h.\nAnswer: (13*q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, j: 11, o: 1, x: 3}. Give prob of picking 2 x and 1 c.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90\/26921 or 0?\nAnswer: 90\/26921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-21)*k\/(k*k*k**(1\/4))*((k*k**3)\/k)\/k*k*k*k*((k\/((k*k**(-1\/2))\/k)*k)**(-37))**39 assuming k is positive.\nAnswer: k**(-14391\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6)*2)\/(12\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120872 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -15) + (9 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1118 + 6569*b**2 + 474*b**2 - 6683 - 1815 wrt b.\nAnswer: 14086*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/4, 371.74 in decreasing order.\nAnswer: 371.74, 1\/4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-68)*(64\/40)\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4215861 to three dps.\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 10*c + 102. Calculate g(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -162574.\nAnswer: -1\/81287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4033814*g**5 - 280416*g**2 + 11.\nAnswer: 242028840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:51 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -259 or -3268?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 22*l**2 + 21*l + 50. Let u(c) = -6*c**2 - 51*c - 1. Let m be u(-8). Let n be k(m). Put 80, -5, -2, n in descending order.\nAnswer: 80, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m**2 + 5*m - 32. Let n(y) = -12*y**2 - 2*y + 16. Let k(o) = -2*j(o) - 5*n(o). Find the first derivative of k(x) wrt x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 2. Let h be o(10). Let b = h + 51. Suppose -4*s + 5*g = 28 - 368, b*s = g + 266. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Let n(u) be the second derivative of u**3\/3 - u**2\/2 + u. What are the prime factors of n(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5\/3*t**3 + 32 + 27*t - t**2. Find the first derivative of c(a) wrt a.\nAnswer: 10*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -183437?\nAnswer: -183453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32837, -3, 12 in increasing order.\nAnswer: -32837, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 + 12?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g - 6. Let p(l) = -l**3 - 39*l + 17. Let y(q) = -17*i(q) - 6*p(q). Find the second derivative of y(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**5\/5 - 2*x**4 - 8*x**3\/3 + 14. Factor n(c).\nAnswer: -2*c**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iim when three letters picked without replacement from {m: 2, i: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1\/3*o**3 + 2*o - o**2 + 1\/12*o**4 + 0. What is x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/10*13\/(52\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-2)\/(-9)). Put -1, -5, r in ascending order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26 - (-8)\/(-4)) + -4. Calculate the highest common divisor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 22*w - 12, y = -432*w + 429*w + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232 + -10424451?\nAnswer: -10425123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572405564.\nAnswer: 2, 7, 13, 431, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -64*g + 17. What is the second biggest value in 5, -6\/5, g?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 703 = 4*a - 633, 4*i = a + 77. Solve 0 = -4*g - 12, 0 = 20*n - i*n - 4*g - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3*w + 132*b**3 - b**2*w - 3*b**2 - 8*b*w + b + 32*w - 14 wrt b?\nAnswer: 24*b*w + 792*b - 2*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 31 + -25 + -28 - 56.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 - -3ab22f?\nAnswer: 3ab258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 7768415 - 7768415.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17767 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/8 - 465*t**3\/8 + 9297*t**2\/8 - 7887*t\/8 - 8823\/4 = 0. What is t?\nAnswer: -173, -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/((s*s*s*(s**(-2\/21)\/s)\/s*s)\/s))*s**2*s*(s\/(s**(-2\/3)\/s)*s)**(-35)*((s\/s**(3\/5))\/(s\/(((s\/(s\/(s**7*s)*s))\/s)\/s)))**46 assuming s is positive.\nAnswer: s**(2729\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41240 + 6035 = 743*f + 1283*f - 135*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2017308 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**3 + 736*m**2 + 179*m - 1215. Determine a(82).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121549 is divided by 221.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*o + 4, 4*c - 5*o - 71 = -82 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46986167.84914 + 1018.84914. Let q = i + 46985148.33000066. Let v = 0.67 + q. What is v rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, -4*o + 2*o - 13740 = -3*b. Suppose 0 = 5*y + b - 27490. Let f = y - 57582. Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307021861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7524 divided by -6\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -7*c**6\/30 - c**4\/12 + 3*c**2\/2 - 14*c - 2. What is the third derivative of v(w) wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*3 + sqrt(240)\/sqrt(5) - (sqrt(12)\/sqrt(2)*1)\/((sqrt(2) + sqrt(8))*2).\nAnswer: 185*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3.982, -4\/3?\nAnswer: 3.982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 - 222. Let s = -17.9985 - k. Round s to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 424*a - 44860. Let s be f(203). Factor -128\/11 + 96\/11*j - 24\/11*j**2 + 2\/11*j**s.\nAnswer: 2*(j - 4)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - n - 9 + 0 to a*n + i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 19 + 2*m + 7*m - 6*m. Suppose 0 = 2*x - 4*d + 14, -2*x + 2*d = 5 + 1. Calculate the lowest common multiple of o(3) and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*12\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let u(f) = 6*f - 23622. Determine u(a(h)).\nAnswer: -6*h - 23622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 0)*(-3*w + 4*w - 3*w)*(2 - 2 - 1)*(-w**2 + 1 - 1) to the form v*w + z*w**2 + x*w**3 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -4\/5, -3, 118?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 217377?\nAnswer: 217380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y - 3*y**2 + y**2 - 3 + 7*y**2 in the form w*y**2 + f + x*y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 + 1\/3*c**3 + 0*c**2 + 2*c + 1\/6*c**4. Find the second derivative of r(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 598752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2237187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n + 16. Let y be i(-7). What is the closest to y in -0.3, -3, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -18*i + 19*i - 34, 2*i + 3*u - 28 = 0. Put -80, 4, 0, -1, i in ascending order.\nAnswer: -80, -1, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201\/101 less than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a + 7. Let i(o) = -13*o - 18*o - 1 + 30*o. Let c be (-2)\/(-1) - -1 - 2. Calculate c*m(v) + 6*i(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/6)\/(-2*(1 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*o - 183*o**2 + 54*o + 55*o)*(-5*o**2 + 10*o**2 + 4*o**2).\nAnswer: -1647*o**4 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(46\/2645*23)*-9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309696569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 - -371. Suppose r = 4*r + d. Find the common denominator of 5\/9 and (-4 + 2)*r\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1798993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -32.1, -1\/5 in ascending order.\nAnswer: -32.1, -0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76798)\/(-171))\/(-43)*36\/8.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35.61*-0.9\nAnswer: -32.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)\/c*c)\/(c**(-2)*c)*c**(3\/17)*c**23 assuming c is positive.\nAnswer: c**(207\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.6 - 2.6. Let i = w + -6. What is the third biggest value in -4, 0.2, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41232357 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 18)*(-281*d - 27*d - 90*d).\nAnswer: 7164*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 331*k - 167*k - 169*k = -10, 6*p = -4*k + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8*t - 6. Let b be (t - 1*-4)\/(-3). Let p(f) = -f**3 + 5*f**2 + 7*f - 8. Let a be p(6). Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.3, 1, -2\/7 in descending order.\nAnswer: 1, 0.3, 0.03, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*z = 63, 3*z = 2*l - 0*l + 23. Let r(b) = 54*b**2 - 12*b + 35. Is r(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 4*d**4 + 0*d**4 + 6*d - d**2 to the form q*d + g*d**4 + a + v*d**2 + x*d**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (27 - 23 - (-4 - (2 + -10)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -24 + 15 + -6 + 0 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/420 + b**5\/210 - 2*b**4\/21 - 4*b**3\/7 + 30*b**2. Factor n(l).\nAnswer: 2*(l - 3)*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, g: 2}. Give prob of sequence gxg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (11 - 0 - (-32 - (-26 + -16))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5806795 is divided by 2171?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(272) - 4*(2*sqrt(272) - sqrt(272)))*-1 + -2 + 3 + sqrt(272)*-1))**2.\nAnswer: 400*sqrt(17) + 27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 5\/6)*(-17 + 15). Sort -4, d, 1.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/13676165 or -1?\nAnswer: 3\/13676165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910 and 96824.\nAnswer: 484120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (4 + -18) - -7 - (44 + -15).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 2. Suppose 52*g - 49*g = 21. Calculate the remainder when g is divided by j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76*(10\/4 - 2). Let o = -1697\/4 + 9237\/20. Let c = i - o. What is the nearest to c in 2\/3, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 1. Let g be w(-2). Suppose -g = -4*i - 3. Let y = i + 1. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70521348.6 + 4.\nAnswer: 70521352.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/8 - n**3\/6 + 6*n**2. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.332115597 rounded to 5 decimal places?\nAnswer: 1.33212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -100*s + 4331. Calculate g(43).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s - 88 + 156 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581916631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*g - 14766 = -5235 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {p: 1, k: 2, n: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30 and 3*4\/9*(-112)\/4992.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - b - 2*b**2)*(6*b + 0*b - b)*(20*b - 22*b - 8*b) to the form f*b**4 + q*b + h*b**3 + t*b**2 + p and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8183 is divided by 1620?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2 + 2)*(9*a - 4*a + 7*a)*(4*a**3 - 5*a**3 - a**3).\nAnswer: 48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 - 8*a + 8. Let m be f(8). Let t be (m\/(-28))\/((-6)\/14). Suppose -20*b - 21*b = -82. Put b, t, 8\/7 in increasing order.\nAnswer: t, 8\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 2*w**2 + 136*w + 448.\nAnswer: -(w - 14)*(w + 4)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - 24\/(-10). Let y = 3.31 - 4.31. What is the nearest to y in -0.3, c, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzu when three letters picked without replacement from {u: 5, y: 2, z: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(78)*6 + sqrt(78) + sqrt(78))*3)\/(sqrt(36)\/(sqrt(18)\/sqrt(3)) - (sqrt(6) + sqrt(6)*-1)*-3) + -5.\nAnswer: -48*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.417.\nAnswer: -0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.9263 rounded to one decimal place?\nAnswer: -188.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*y, -4*y = l - 17. Let i be ((-24)\/(-40))\/((-1)\/5). Let r = 2.5 + -2. Sort r, i, l in descending order.\nAnswer: l, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (-1 + (-32)\/(-10))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-3)))\/d)\/d*d)**(-32)*d\/(d**(5\/7)\/d)*(d\/(d**12*d))\/d*d assuming d is positive.\nAnswer: d**(821\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 9 = 3*p - 30*b, -3*b - 30 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114579667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67808327?\nAnswer: 5153, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 155 = -26. Let i = 43 - r. Suppose 0 = -4*v - 20, -5*g - 2*v + i*v = -400. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 3:10 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -130. Suppose 0 = 5*z - 0*z + 2*w + 8, -4*z = -x*w - 16. What is the nearest to z in -0.1, 0.3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (10 + -9 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -66.65 (b) -10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.6511 to 2 dps.\nAnswer: 15.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 8. Differentiate 6 - h + 2*h - n - 3 wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162876481*t**4 - 3*t**2 + 52409339*t.\nAnswer: -3909035544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + -2 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1699 and -15.\nAnswer: 25485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -1413 + 279. What is the remainder when 123 is divided by c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from dpobopodyopppypqq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6150 divided by 1230.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/2604 and -113\/28462?\nAnswer: 5293932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -27*c - 807 - 397 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751690 + 7732092 = 286*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2410777299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -8) + (1 - (-192)\/(-14)). Is -10 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108415?\nAnswer: 5, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (92\/10)\/((-2)\/(-10)). Let p = d + -30. Suppose 3*c - b = 18, -c + 3*b - p = -6*c. Calculate the greatest common factor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1678664286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eelejjjejeeeleej.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100111111100 (base 2) to base 11\nAnswer: -1a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 6 + 1 + 2 - 2 + (-1 - 1 + 4)*(2 - 1 + 0) - 3 + 2 + 3 - 1 - 1 + 1 + 1 + 0 + 2)*(0*u + 0*u + 2*u) as a*u + t and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 26 + -14 + (2 - 8) + (26 - 9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 698*r**2 + 5*r - 2. Let i be j(2). What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1430\/2163 + 4\/721. Determine f so that -y*f + 8\/3 - 8\/3*f**2 + 2\/3*f**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 129. Suppose f + x - 2 - 6 = a, -2*x = 5*f - 25. Let o be -5*(12\/(-15) + 0). Solve -f*r = -r - o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 4, -1, -25, -2, -114 in increasing order.\nAnswer: -114, -25, -15, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -204.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -242 (b) 4 (c) -3079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -42*q**2 + 5*q + 1. Let h(a) = -20*a**2 + 2*a + 1. Calculate 5*h(n) - 2*k(n).\nAnswer: -16*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4188 is divided by 566.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let f(x) = x**2 - 4*x + 6. Let s be f(2). Let m(h) = h**2 + 4*h - 6. Let k be m(-6). Let v(p) = p**s + 6*p - k*p. What is d(v(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000315 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5670 and 11565.\nAnswer: 1457190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 6447?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3*x**3 + 2*x**3 + 3*x**3) + 422*x - 422*x + 90*x**3.\nAnswer: 94*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226122523.\nAnswer: 11, 1291, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/8)\/(3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757\/21 + 2 - (-12)\/(-42) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 25*y**7\/84 - 7*y**6\/6 + 11*y**5\/10 - y**4\/3 + 13*y. Let c(k) = 0. What is k?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50271760 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/37220988 and 67\/28.\nAnswer: 37220988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/14 - (-2)\/7. Suppose t = i - 16. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6514, 7077, 7952, 9085, 10422, 11909, 13492?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z - 128 - 63*z + 128 - 4*z**2 + 18*z.\nAnswer: -4*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 124040344?\nAnswer: 124040401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.33759535 to 3 decimal places.\nAnswer: 3.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 j when three letters picked without replacement from {o: 1, y: 1, j: 2, g: 4, e: 2, k: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in 4, -5, 8\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/3 - 7*p\/2 - 5\/6 = 0. Calculate p.\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.11. Suppose 0 = 5*f - 2*f + 3. Let o be f*(3 + (-14)\/2 - -4). Put o, -1, v in descending order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(40)\/sqrt(8) + sqrt(5) + -1)**2 + -5*(sqrt(5) + 4).\nAnswer: -8*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -45*x + 12*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/77, 0, 5, -2\/241?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 times -0.1478?\nAnswer: -17.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvhhvhvvvnvh. Give prob of sequence vvh.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5254814.71 and -0.205.\nAnswer: 5254814.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 - 18*y**2 - 48*y + 1280 = 0 for y.\nAnswer: -8, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106\/11*w**2 - 4*w + 0 + 10\/11*w**3.\nAnswer: 2*w*(w + 11)*(5*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23227 is divided by 1290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*j - 17*j - 100. Sort 3, 2, j, 29 in decreasing order.\nAnswer: 29, j, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8857794 and 8184143.\nAnswer: 14333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244969983.\nAnswer: 3, 17, 19, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2\/13, 155, -5, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/3 - 156*w**4 - 9263*w**3 + 28258*w**2\/3 = 0.\nAnswer: -398, -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 172?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p**3 - p**3 + 19*p**3)*(-7 + 7 + 7) in the form i + r*p + x*p**2 + m*p**3 and give m.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306951 is divided by 152762.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1393104 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2454*a + 7858. What is the units digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (48\/(-192))\/(1\/((-67)\/10)) and 9\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*w + 47 = 20*w - 682. Let c(r) = -2*r**3 - 21*r**2 + 27*r - 25. Let d(f) = -f**3 - 11*f**2 + 14*f - 13. Let b(k) = 3*c(k) - 5*d(k). What is b(w)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4472+-4\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 166438033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113206, 226414, 339622, 452830?\n\"Answer: 113208*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -3 - ((7 - 3) + (-6 - -9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 6, u: 4}. Give prob of picking 2 o and 2 w.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/210 + 7*d**5\/30 + d**4 + 107*d**3\/6 - d**2\/2 + 240*d. Let s(y) be the second derivative of b(y). Solve s(t) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 65580779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Suppose 3*n - 134 + 1 = 5*l, -5*n + 195 = -3*l. Suppose v = -0*u - 3*u + n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(-3 - -1). Is (1382\/(-3))\/(x\/3*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 14411*b + 57688. Determine c(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2538 and 27.\nAnswer: 68526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/6, 50 in decreasing order.\nAnswer: 50, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 36. Which is the nearest to 0.3? (a) h (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4387528741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/90 and -59\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 12*d**2 + 13*d + 14. Let y be t(13). What is the highest common factor of y and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -13) + -14 - (16 + -10)) + -2 + -56?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -53. Let g = -0.0614 + 32.3814. Let d = u - g. Round d to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/9 - 10727680*f\/9 + 375463900\/9.\nAnswer: 4*(f - 2681885)*(f - 35)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18295779 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 5. Let v be y(8). What is the derivative of d + 6*d + d - 1 - v*d wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40824584 and 8148.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10318 >= 10315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 divided by -541?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15409309 to the nearest integer?\nAnswer: 3925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (13 + 4 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15 + 7 - 20 + 12*m - 10*m**2. Let d be o(5). Let y = 42 - d. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/2 - 2)*2. Suppose -3*p + 5*i = -7*p - 162, -3*i - 6 = 0. Let t = q - p. Calculate the greatest common factor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.0443\nAnswer: 0.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 729236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -310625 (base 8) in base 10?\nAnswer: -102805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 24*n**2. Let s(y) = 22*y**2 - 14676*y. Calculate s(m(r)).\nAnswer: 12672*r**4 - 352224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t. Let u be i(-1). Let s(d) = 23*d**2 + 4*d - 2. Let m be s(1). Suppose 30*x = 35*x - m. Solve x*q = q + u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*f = 266*f - 667862. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2436*q + 36537. Let v be k(15). Let f = -594\/35 - -116\/7. Which is the closest to f? (a) -0.05 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/49 and 37\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4281676, 4281661, 4281642, 4281625, 4281616, 4281621?\n\"Answer: c**3 - 8*c**2 + 2*c + 4281681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -979992 divided by -4\nAnswer: 244998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.000064 or 0.1?\nAnswer: 1.000064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*z**2 - 165*z.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15811 divided by 6.\nAnswer: 15811\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 + k - 1. Let i be j(2). Is i not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 2\/4*-6. Solve 2*m = -d*p - 2, 5*p - m - 12 = -37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 13. Suppose -5*l = -4*t + 30, -18 = -t - 5*l + l. Suppose 3*m = 9, 4*f + 5*m - 25 - t = 0. Solve f*g = -2*i - 18, g = -s*g + 2*i - 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8859290 to the nearest ten thousand.\nAnswer: -8860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 + 1 + 1 + sqrt(192) + -2)**2 + (2*((sqrt(90)\/sqrt(5) + sqrt(18))\/sqrt(6) - 1*sqrt(18)\/sqrt(6)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.867445 months to years.\nAnswer: 1.73895375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5294 (base 13) to base 4.\nAnswer: 2302310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 6. Let h be k(6). Suppose -2*o + 6*o = h. Solve -5*d + 11 + 9 = o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w - 123. Let o be a(8). Suppose 60 = o*m - 5. Solve -2*t - 10 = 0, -2*z + m*t = -4*z - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-720)\/27*35\/((-875)\/15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -11, -332 in ascending order.\nAnswer: -332, -11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(9\/(576\/(-8)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1754 (base 10) to base 9\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71092746 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.05, -4\/7, -2060216\/3, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7573264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -577*q**3 - 84*q**2 + 5*q + 14. Is s(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3296 - 0.3296. Let n = 4.06 + -0.06. What is the third biggest value in x, n, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15334.4+-0.3\nAnswer: -15334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 38)*-5*3\/(-6). Suppose -20 = a + 3*a, -5*a + 78 = -u. Let q = u + y. Solve -8 - q = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 + 220. List the prime factors of 66 - (3 - -2)\/(s - -7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 45. Suppose -q = -3*w + 2. List the prime factors of (61 - (-6)\/(-2)) + w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 72*c**2 + 623*c - 30. Let w be r(10). Solve -2*j - 2*a - 8 = w, 0 = -4*j + 2*j + a + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -140. Let g be (l\/20)\/((-1)\/(-4)). Let o = 5 - g. Calculate the remainder when 74 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128418572?\nAnswer: 2, 163, 196961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*j + 290*j + 212*j.\nAnswer: 553*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.804861g in tonnes?\nAnswer: 0.000001804861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -646570 (base 8) in base 5?\nAnswer: -23411230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - p + 10 - 5 = 0, -2*p - 35 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d)*(d**2 - 2*d + 2*d) + 2*d**3 + 0*d**2 + 0*d**2 + 20*d**3 + 82*d**2 - 82*d**2 + d - d + 4*d**3 - 16*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, 4, 0.8, -5 in descending order.\nAnswer: 4, 2.6, 0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 8. Let s(d) = 5 - 5*d - 6*d + 14*d. Let f(j) = 5*m(j) - 7*s(j). Determine f(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + -49357.\nAnswer: -49355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) 0.2 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edd when three letters picked without replacement from dddddddeeddedddddde?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 0*n + 2*n. Let h(s) = 19 - 9 + 2*s**2 - 10. Give h(q(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b + b + b)*(-1 + 1 - 1) + (4 - 1 - 2)*(-2*b + b + 0*b) to r*b + j and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1141610?\nAnswer: -1141607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 255 = -12*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -290 and -325 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let l(v) = -2*v + 3. Let b be l(t). Let m(x) = -6*x - 3. What is the remainder when 29 is divided by m(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 3, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*z = 3*z - 36036, 72072 = 4*h + 4*z. Is h a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 69, 1, -0.1, 2\/15, -48, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1837346 and 518?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10789 + -10759. Calculate the greatest common divisor of 717 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.248 - -0.248. Let f = -0.1 + 0.2. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z**3 + 3*z**2 - 3. Suppose -3*r + 15 = -0*r. Suppose 2*t = -r*p + 9, 2*p - 2*t - 12 = -0. Calculate the remainder when y(-1) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from wwkwwkkiwo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8925)\/4675)\/(3\/22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*i**2 - 2\/5*i - 1\/5*i**3.\nAnswer: -i*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*d - 23*a**3 - 225*a**2*d - 2 wrt a.\nAnswer: 48*a*d - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-20)\/(-2) - (-119)\/((-4641)\/585).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 2*k**3 + 2*k**3 - 8*k**3 + k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 4*y - 4. Let j(h) = -h**2 + 2*h - 2. Determine -9*j(c) + 4*k(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134388 by -3.\nAnswer: 44796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(816) - -5*sqrt(816)*1)\/(-3*(sqrt(3) + 1*sqrt(300))))**2.\nAnswer: 846\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -70*p - 106. Suppose 2*u - 39 = -5*l, l + 4*u = 2*u + 11. Let z(v) = 34*v + 52. Let w(t) = l*z(t) + 4*r(t). Differentiate w(m) with respect to m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91182*j**2*v + 1349*j**2 + j*o*v - 4*j - 7*o wrt v?\nAnswer: 91182*j**2 + j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 4*h - 55. Let z(r) = r - 5. Let p be z(h). Suppose p = -4*m + 3*m + 222. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18655 divided by -19808.\nAnswer: -18655\/19808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263\/3 + -87. What is the closest to u in -12, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 10*b**2 + 19*b + 15. Let m be y(-17). Suppose 13*r = 8*r + m. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = 4*o - 18, 2*p = 3*o + 4. Let y(f) = -3*f**2 + 97*f - 36. Let w be y(32). Which is the third smallest value? (a) -0.04 (b) 2 (c) p (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/611 in -4, -5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*0\/((-6)\/2). Suppose -12 = 3*h - 0, x = -2*w + h + 6. Which is the second smallest value? (a) -4\/3 (b) w (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666358094?\nAnswer: 2, 3, 359, 773611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256331272*d**2*y**3 + d**2*y**2 - 77*d**2*y - 2*d + y**2 + 181*y wrt y.\nAnswer: 1537987632*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 2. Suppose -168 + 3 = -h*m. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258769854*o**5 + 851*o + 144992.\nAnswer: -5175397080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177870 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 7*h - h)*(-142*h**3 - 274*h**3 + 82*h**3).\nAnswer: -2338*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1031304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:41 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*c = -5*n - 13, -c - 9 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + 0 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let x(i) = -7*i - 9. Give -9*m(y) + x(y).\nAnswer: 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 401065.9 millimeters?\nAnswer: 401.0659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -f - 2*f + 3*n, 2*n = 3*f - 16. Suppose 6 = 5*i - 0*i + z, f*i + 3 = 5*z. Suppose -39*u + 32*u = 14. Sort 7, u, i in descending order.\nAnswer: 7, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from detteydtptapttydyey.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2620, -30\/17, -110?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60760 and 53180680.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 4\/51.\nAnswer: -1, -0.4, 4\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((3 - 1) + -3)\/1. Let r(j) = 36*j**3 - 2*j**2 + 1. Let f be r(o). What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 + 49858.\nAnswer: 49858.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2 + 0*y - 1 + y - 2*y. Calculate h(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279333879.\nAnswer: 22283, 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1832 divide 2075447042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/8)*w\/w**(-2\/9)*w*(w**(5\/3)\/w*w)\/(w*w\/(w\/(w\/(w\/(w\/w**1*w*w))))))**19 assuming w is positive.\nAnswer: w**(3097\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 8. Let r = 4 - 3. Let t(m) = 1. Let o(h) = r*j(h) - 4*t(h). Let q(u) = -2*u**2 + 14*u - 3. Let b be q(7). What is o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let n(j) = j**2 + 9*j**2 - 11*j**2 + 14. What is s(n(a))?\nAnswer: a**4 - 28*a**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11553 is divided by 3602?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t*t*t\/(t*t\/((t*(t*(t*t**4\/t)\/t)\/t)\/t)))\/t*t**(-2\/9)*(t**(-2))**(-18) assuming t is positive.\nAnswer: t**(367\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 5*v + 6*v**2. Let h be (-4)\/3*(-3)\/2. Let k(y) = -4*y**2 + y**h + 4*y**2 + 0*y**2. Calculate i(k(f)).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41320413 (base 7) in base 6?\nAnswer: 202152030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -88515, -88304, -88093?\n\"Answer: 211*a - 88726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 13*i - 333 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-44))\/(1\/4) - 730\/(-22). Solve 0 = 16*f - 27*f - m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89453, -179493, -269533, -359573?\n\"Answer: -90040*c + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + j**2 + 0*j**2 - 53 + 44 to the form t*j**2 + m + k*j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 41501*d\/2 + 311270\/3.\nAnswer: -(d - 5)*(d + 124508)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/9*-1)\/((-265)\/813762).\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:39 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 - 284.6. Is o not equal to 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 29. Suppose 328 = -t + h*t. Calculate the remainder when t is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477407423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/8 - (-30)\/(-40). Let u = j + 3. Suppose -275 - 1285 = -u*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 315. Let h = -28 - -209. What is the remainder when h is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 24065 - 5033. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.799*501\nAnswer: -400.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -328\/16929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41659 is divided by 216.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11332210 - 11?\nAnswer: 11332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5\/5 - 5144*h**4\/5 + 1673988*h**3\/5 - 12820896*h**2\/5 - 78397632*h\/5 = 0. Calculate h.\nAnswer: -4, 0, 12, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1534, -1535, -1536, -1537, -1538, -1539?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -32 + -23 + 55\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22634220 plus 4?\nAnswer: -22634216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10406327.89 to the nearest one thousand.\nAnswer: 10406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 0 + 0)*(805 + 3*p - 74 - 107).\nAnswer: -18*p**2 - 3744*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152914.2 rounded to the nearest 1000?\nAnswer: -3153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675974795 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2041 bigger than -10212\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 46 - 83) + 3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34768 divided by -51?\nAnswer: -34768\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -2*l + 45. Let s be 3\/18 - 2\/l. Let n = -4.766 + 0.766. Which is the closest to 0? (a) n (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*d + 28 + 2*d**3 + 33*d - 24*d.\nAnswer: 2*d**3 + 78*d + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1340752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*t - 4*d + 1, -2*t + 3*d = -7. What is the units digit of 2 + 2\/t + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.4, -36.42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*z**4 - 10 + 21 + 110*z**2 - 11 - 47*z**2 wrt z.\nAnswer: -2928*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x - 622. Let q be l(36). Let g(i) = -2*i - 5. Give g(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5471 - -5423. Let r = 1.7 + 41.3. Let k = r + u. What is the nearest to 0.2 in 0, -4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203102021 + -3?\nAnswer: -10203102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, 1, -2 in increasing order.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*b - 33, -4 = 3*n - 2*b. Let w = 962 - 960. What is the first derivative of -15 + 30*q**2 + 18*q**n + 27*q**w - 64*q**2 wrt q?\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7687160?\nAnswer: 2, 5, 13, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 4*j**2 - 5*j + 1. Let u = 608 + -614. Let i(l) = -3 + 5*l**2 + 6*l - 2 + 4 + 4*l**3. What is u*s(y) - 5*i(y)?\nAnswer: -2*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39475626, 39475614, 39475602, 39475590, 39475578?\n\"Answer: -12*j + 39475638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*r + 26, 3*u = 4*r - 583 + 562 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-1)*(-6)\/35*(-497)\/(-568))\/1?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51480\/9009*7\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10644547, 21289112, 31933679, 42578248?\n\"Answer: n**2 + 10644562*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/27)\/p)\/(p*p*p\/(p\/(p\/p**(1\/5)))))**(19\/2)*(p**(2\/5))**41*((p*p**2)\/p)**33 assuming p is positive.\nAnswer: p**(12311\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 17*a**2 - 402*a + 16. What is t(-19)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -11555?\nAnswer: 5777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -199. Suppose -4*p + 2*x = -128, 5*p + 5*x = 2*p + t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)\/y)**(-26)*((y**(2\/9)*y)\/y)\/y*y**(1\/8))**23 assuming y is positive.\nAnswer: y**(13271\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3259 - 2241. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 9821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 140 = 4*q + 47 - 86, 25*q = 3*q + 2*g + 36 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/3)\/(14\/(-21)). Is (-6)\/15 - (-327)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414*b - 605*b + 503*b - 1206*b - 197266 = 0 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1250, 11, 30 in ascending order.\nAnswer: 11, 30, 1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 271316 and 456?\nAnswer: 30930024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p\/(p\/((p\/p**(-3)*p)\/p))*p)\/p*p)\/p*p**(7\/2))**(-47)\/(((p*p**1*p)\/p)\/p*p\/p**15)**(-5\/2) assuming p is positive.\nAnswer: p**(-479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178084 - -2315096\/13. Suppose 8\/13*d**2 - 4\/13 - 6\/13*d**3 - q*d**4 + 6\/13*d = 0. What is d?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 3\/8, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u - 2*u)*(-6*u - 3*u - u) + 215*u**2 + 4 + 213*u**2 - 430*u**2.\nAnswer: 78*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and 2937?\nAnswer: 32307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 - 158. Let p be 4\/6*c\/(-6). Let g = -143825 - -143851. Solve 2*l - g = 4*l + 4*i, 31 = -2*l - p*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -18*u - 83. Sort -5, 14, u in decreasing order.\nAnswer: 14, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4224 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 237121.4 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4434*b = 4698*b + 6072 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 353730827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2 - -3 - -17). Let i = -15 + k. Put 3, -5, i in descending order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -15491?\nAnswer: -15491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjjjjzjjjzjz. Give prob of sequence zzz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -147. Let k = -81 - u. Let d = -0.36 + 0.06. Which is the nearest to 1? (a) k (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 3*p, -j + 6*j + 4*p = -4. Let o(l) = -3*l + 48. Let w be o(18). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 27166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (25 - 20) + (-1 - -1) + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u**3 - 36*u**3 - 50*u**3 - 11*u**3.\nAnswer: -69*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 23*p**2 + 2. Let i(z) = 91*z**2 + z + 7. Let l(t) = -2*i(t) + 9*r(t). Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 1 - 156*c - 2*c**3 + 1.\nAnswer: -2*c**3 - 2*c**2 - 156*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 18 - 3*s)*(-4*s**3 - 9 + 5 - 15*s**2 + 13*s**2) to the form v*s**2 + t*s + r*s**3 + h + p*s**4 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -399425 by 15977.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + v\/2.\nAnswer: v*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 31*y**2 + 4*y - 157. Give c(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39208 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x + 1. Let a(q) = 14. Let u(g) = -119. Let k(y) = -42*a(y) - 5*u(y). Let j(m) = -4. Let o(r) = 5*j(r) + 3*k(r). Calculate 2*o(b) - t(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -10, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4214 + 0?\nAnswer: -4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2159*x**2 + 2289*x + 3. Let t(r) = 13*r**2 - 2*r - 1. Let m(g) = -2*j(g) - 6*t(g). What is the second derivative of m(c) wrt c?\nAnswer: 8480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*i + 3*i - 14 = 0, i - 18 = -5*c. Solve 6*y = 8 + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, 62, 182, 304, 428, 554, 682?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 1 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 349948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -5680 and 62.548.\nAnswer: -5617.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 12?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5153840 = -2*u, 3*y - 2576922 = -6*u + 5*u. Suppose 3*w + u = 189771. Let q = w - -1166715. Round q to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -195. Suppose 0 = -2*m - 2*z + 30, 5*m - 2*z - 87 + g = 0. Solve 4*d - m = -2*r, -2*d - 3*r + 7 = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 38 = 2*i, -62 - 28 = -4*i + 3*j. Let q be (-2)\/(-4)*i\/4. Solve p = 2*b - p + 4, 3*b = -q*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w - 36. Let t(g) = -2*g + 1. Let j(c) = p(c) + 12*t(c). Let y(b) = b. Calculate j(y(o)).\nAnswer: -2*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 12. Let t be s(-5). Does 16 divide -1 - t\/((-28)\/(-184))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -16. Let u be 153 - (13 + -6) - -6. Calculate the highest common divisor of q and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 5. Let n be (-25)\/(-3) + (-3)\/9. Suppose 0 = -2*o - 0 + n. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*l + 55*l - 64. Suppose -4*u = 3*c - l, -2*c = -u + 6*u - 33. Solve -2*t = 4*s - 2 - c, -15 = -t - 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -0.71, -1\/6, 3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22*8\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2379?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 2\/3, -196, 5, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 28\/3457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**3 + 10*a**2 + 36*a - 30. What is the hundreds digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 69 + 24*g + g**2 + 79.\nAnswer: g**2 - g + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 5*i = 39, 3*t + 14889 = -3*i + 14874 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*c + 8898, -4*c = 2*v + 2*v - 8896. Let y be (17*291)\/(2\/c). Let p = y + 2593989. What is p rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - (97 - 44 - 41)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d. Let u(s) = -211*s**2. Give m(u(b)).\nAnswer: -1899*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = u - 2*h, 0 = -2*h + 87 - 77 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by -5.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.1102662 * -0.5\nAnswer: -1.5551331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/11)*l))**(-15) assuming l is positive.\nAnswer: l**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**3 + 7 - 7)*(24 + 21 - 47 + 2232*x - 2558*x) in the form u*x**4 + r + n*x**2 + b*x + v*x**3 and give u.\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 205, 44, -2 in increasing order.\nAnswer: -70, -2, 44, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*q**3*x - 4*q**3 - q**2*x + 59232*q**2 + 17*q*x + 1395*x - 384 wrt q.\nAnswer: 150*q*x - 24*q - 2*x + 118464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -9. Suppose -c - 3 = j*c. Let r = -282 + 4796\/17. Is r greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 1, c: 2, d: 1}. What is prob of picking 1 m, 1 e, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291 - 174 + 229)*(5 - 2 + 5)*(0*x**2 - 3*x**2 + x**2).\nAnswer: -5536*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*o**5*s**2 + 8*o**5 - 59*o**2 + o*s - s**2 wrt o?\nAnswer: -1800*o**2*s**2 + 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.192 + 10.508. Let m = -10.2 + -0.8. Let z = m + s. What is the nearest to z in 0, 0.2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 7600084*a**3 - 3610068400296*a**2 + 10830258401536*a - 7220182401152 = 0. Calculate a.\nAnswer: -950012, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 6, -14, -3, -26, 3 in increasing order.\nAnswer: -26, -14, -3, 3, 5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101376.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040 is divided by 1454.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*u + 43, 3*v + 2*u + 22 = 5*v. What is the remainder when 59 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-2))**(2\/39)*b\/(b*b**22)*b**3 assuming b is positive.\nAnswer: b**(-731\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p - 23. What are the prime factors of d(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t - 34. Let d be r(2). Suppose 4*a - 32 = -4*s, -s = -5*s + 4*a + 8. Suppose 0 = 2*x - s*m + 4*m - 957, -x + 481 = d*m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27665021 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r - 2*v = -30*r + 14, -2 = 2*r - v. What is the biggest value in r, -1\/6, -51\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 12. Let f be j(4). Solve 0 = -5*p - 5*b + 6 - 1, 4*p + 12 = f*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(125))**2*-3.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093187956461 + -3816?\nAnswer: -3815.906812043539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.1082 centuries in years?\nAnswer: 31210.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -13.7712?\nAnswer: 564.6192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 0)*(8 - 14 + 4) + (5 + 0 - 4)*(-1 + 2 - 2))*(2*h - 4*h + h) + 2*h + 2*h + h as g*h + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:14 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 3, f: 4, c: 3}. What is prob of sequence xe?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65684 * 2.1\nAnswer: -137936.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 30*x + 63. Calculate p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/11 - 180*i**3\/11 - 186*i**2\/11 + 364*i\/11 = 0. What is i?\nAnswer: -2, 0, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00497174 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 883353 take away 0?\nAnswer: 883353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 14\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35667, 1159 in ascending order.\nAnswer: -2, 1159, 35667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*g - 5*h, -4*h = 4*g - 78 + 14. Let i be 26\/(1*(-1)\/4). Let j = -35 - i. Calculate the remainder when j is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*1 - 248\/(-4). Let h = f + -11. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 3) + -17 - (-1 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3356*z + 4054*z + 2339*z)*(z**3 + 0*z**3 - 2*z**3).\nAnswer: -3037*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -46. Suppose 5*i = -f + 27, -3*i - 5*f + 21 = -2*f. Suppose -i*z + z = -k. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a + 1140. Suppose 127 = 3*c + 5*b, -3*b - 987 = 3*c - 1128. Give g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*((-1)\/(-2))\/((-3)\/24*(-152)\/114)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/((-44)\/(-22))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/14))\/(h*h**(6\/5)) assuming h is positive.\nAnswer: h**(-79\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 913 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11. Suppose 0*l + l - 2 = i. Solve l*c = -c - 5*u + 13, 11 = c + 3*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -28. Let u be (2 + b + -2)*33. Is 2 a factor of (-5)\/20 - u\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48756, 97549, 146376, 195237, 244132?\nAnswer: 293061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34505342 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5965623.\nAnswer: 3, 17, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 936.5 * 137522.\nAnswer: 128789353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27749255 to the nearest integer?\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85265 is divided by 85243.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(11) + -1 + -3 + (sqrt(55)\/sqrt(5))**2.\nAnswer: sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(132)\/sqrt(4)*2)\/(sqrt(539) + 5*((sqrt(539) - (sqrt(539) + sqrt(539) + -1*sqrt(539) + sqrt(539))) + sqrt(539)) + sqrt(539)))**2.\nAnswer: 108\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347307 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 392, 4, -3\/5, 0.69 in ascending order.\nAnswer: -3\/5, 0.69, 4, 7, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 8 - ((2 - 21) + -14 + 16) - 47\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 + 1460125*r**3 + 982709280*r**2 + 220239272960*r + 16448728432640 = 0.\nAnswer: -224, 292697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m = 3999. Suppose l - 503 = -3*g, 4*l - 2*g - m = 651. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7095 + -2.7095. Let d be 2\/6*3\/2. Sort 2\/9, v, d in decreasing order.\nAnswer: d, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (162\/(-1))\/(-2)*((33 - 51) + 81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/3)\/(414\/1242).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102126, -102129, -102132, -102135, -102138, -102141?\nAnswer: -102144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19451*x**2. Let b(h) = h. Calculate b(t(j)).\nAnswer: -19451*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f498 - -6?\nAnswer: f49e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3617, -4 in decreasing order.\nAnswer: 3617, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-32)\/(-116)))\/(76*24\/912).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162.07*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427372869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99)*-2*-3)**2 + 1 - -3*(sqrt(99) + -5 + sqrt(99) + (sqrt(99) + 1 - sqrt(99))**2 + sqrt(99) + sqrt(99))*-1)*-2.\nAnswer: -7164 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(3\/8)\/((l*l\/(l\/(l\/((l**13\/l)\/l)*l)))\/l*l*l**(-5)) assuming l is positive.\nAnswer: l**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:53 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y - 5*y)*(-2 - 3 + 3)*(-3 + 3 + 2).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.72 and 103.72?\nAnswer: -178.3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*((-378)\/(-28) - 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, -4, -27, -54, -85?\n\"Answer: -2*o**2 - 13*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - (6 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + (1 - 0). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2. Suppose o - c - 1 = 0, 5*o - 20 = -2*c - 8. Let w(i) be the first derivative of -6 + 4 + 2*i**2 + 3*i**o - 6*i**2. Give w(l(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/(-2)*(-24)\/(-75)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*r + 6. Suppose -20 = 4*t, 2*t + 0*t - 2 = -r*k. Suppose -s = -2*q - k, -s = s + 5*q + 10. Solve -n + s*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15188799, -30377599, -45566399, -60755199, -75943999?\nAnswer: -91132799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043477 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r**(-3)\/r)\/r))**(1\/25)*(r*r**2*r)\/r**(4\/5) assuming r is positive.\nAnswer: r**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 12, 2, -7, 4 in ascending order.\nAnswer: -7, 2, 4, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.1. Let q = s - -0.35. Let v = 7 - 7.3. What is the closest to -2 in q, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1169729, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -5\/2*f**3 - 5\/12*f**4 + 0 - 21*f**2 + 1\/12*f**5 + 0*f. Factor i(g).\nAnswer: 5*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 2. Let d(b) = -27*b - 15. Calculate -30*c(f) + 4*d(f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 403240725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 + 20. Let r = h - 235. Which is the closest to -2? (a) r (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(51)*3 - sqrt(51))*1 + sqrt(459)*-3)\/(3*6*(sqrt(363) + (sqrt(363) - (sqrt(363) - 2*sqrt(363) - sqrt(363))))).\nAnswer: -35*sqrt(17)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201021 - 210210211?\nAnswer: -221112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 3*g**2 + 2*g - 2. Let a be w(-2). What is the common denominator of (134\/48)\/((-6)\/a) and 24\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361163862.\nAnswer: 2, 3, 20064659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2007 from 0.06.\nAnswer: 2007.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -546 (b) 86 (c) 3 (d) 56 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 9*f - 34. Let r be v(8). Let y be (-5)\/(-50)*r - (-3)\/5. What is the common denominator of -89\/2 and (y\/(-33))\/((-60)\/(-2055))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (5 + -13 + 10)\/((-3)\/(-1923))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 1, q: 2, d: 11, b: 2}.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 79, 3\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:42 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 9\/20*b**5 + 2*b + 1\/14*b**7 + 0 + 3\/10*b**6 + 0*b**3 + 1\/4*b**4 + 0*b**2. Let t(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -816, -915, -1086, -1335, -1668, -2091, -2610?\n\"Answer: -d**3 - 30*d**2 - 2*d - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397874 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.093, 3, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3+-1235.7\nAnswer: -1232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272*(39\/(-273))\/(4\/7).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210222102102 (base 3) in base 15?\nAnswer: 1e8192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00184353014 rounded to six dps?\nAnswer: -0.001844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4946*t - 4705. List the prime factors of l(11).\nAnswer: 3, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366 - -365. What are the prime factors of (12\/10)\/(s + 2358\/2355)?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-36 - (0 + -25) - (2 - -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -545.9 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5\/8 - 15*f**4\/2 - 99*f**3\/2 - 120*f**2 - 96*f.\nAnswer: -3*f*(f + 2)**2*(f + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 10*x**2 - x + 10 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16057, 33, 2, 0 in descending order.\nAnswer: 16057, 33, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 6800508.\nAnswer: -1\/1700127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(9 - 8*g - 9)*(0*g**2 + g**2 + 2*g**2).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 8:07 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246644, -2493287, -3739934, -4986585?\nAnswer: -6233240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*y = -63*y + 3010045. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u - 80 + 80)*(-34 - 34 + 15).\nAnswer: -795*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 85*a**2 - 6*a + 29. What is the hundreds digit of m(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -15. Suppose 0*b + l - 577 = -2*b, i*b - 4*l = 893. Suppose 5*t + b - 1366 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 2:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Let r(z) = 18*z**2 - 17*z**d + 3 - 2*z - 2*z. Let o be (7 - 2)*(-2)\/(-2). Give r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 50*l = 229 - 54. Solve -l = -9*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -47*b + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488 = -m - 5*t + 456, 0 = -m - t - 7 - 17 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 574 - 67*m - 574 to the form x + s*m and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 60\/7)*-77. Let q = j + 198. Are q and -1\/113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1675b4 (base 13) to base 15\nAnswer: -b098a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i. Suppose i = -v - 0*v + 16. Let t = 158 + -110. What is the greatest common factor of t and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 28730.\nAnswer: 9\/28730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 32*p**2 - 60*p + 2. Let d be h(-30). Let i(u) = 8 + 118*u - 59*u + u**d - 66*u. Calculate i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let t(x) = -1 - 66*x + 1 + 2 + 64*x + 478*x**2. Determine o(t(z)).\nAnswer: 478*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:33 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + c**2 - 1 + 0*c + 4*c - 12*c - 29*c**3 as a*c**2 + r*c**3 + x*c + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0*p**2 + 7 + 7*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 121. Calculate the least common multiple of d(29) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/2 + 19*r**3\/2 + 51*r**2\/2 + 49*r\/2 + 8 = 0. What is r?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/105 and 44\/3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 * -143\nAnswer: -58.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1891, 23, -2, 0, -1 in descending order.\nAnswer: 23, 0, -1, -2, -1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24724*c**3 + 88*c**2 - 40*c**2 - 49*c**2 + 2469*c**3 to the form l*c + t*c**2 + d*c**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 11:25 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 12*j**2 + 41*j - 15. Does 45 divide b(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 6. Let r be i(-4). Suppose w + r*p - 98 = -3*w, -68 = -4*w + 4*p. Let a = w - -2. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 90*c - 160. Does 20 divide a(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8529.044m to micrometers.\nAnswer: 8529044000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/26*(-6)\/(-27)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(45) - (sqrt(45) + sqrt(225)\/sqrt(5))))\/sqrt(9).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 49. Suppose 490 = -35*x + 25*x. Let y be c(x). Is y >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51436 divided by -2\nAnswer: 25718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 2. Let y be a(-2). Factor 35*w**2 - 45*w**3 + 10*w + 17 + y - 27.\nAnswer: -5*w*(w - 1)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29862 + 29921. What is the highest common divisor of r and 10679?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*h - 4*h = 43, 2*p = -4*h - 98. Let q = 161 + p. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3*b**7\/7 - 35*b**4\/4 + 3*b**3 - 4*b - 46. What is the third derivative of l(g) wrt g?\nAnswer: 360*g**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*x - 14670 - 12847 + 1622 - 9502 = 0 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54842 + -8002. Let l = x - -62844.0069906. Let q = -0.007 + l. What is q rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let t(l) = -l**2 - l - 2. Let i be t(0). Let m(q) = -1. Let j(f) = 4*f + 4. Let p(c) = i*j(c) - 8*m(c). Give p(k(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**43\/i*i\/(i*i**39*i*i) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 12*a = -1184. Suppose -368 = -15*h + a. What is the remainder when 115 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**3 - 255*q**3 + 117*q**2 + 25*q**2 + 33*q**2 + 17*q**2.\nAnswer: -218*q**3 + 192*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 2. Let x be s(-6). Suppose -2*u = 0, x*u = -p - 0*u + 3. Solve p*v - 4*z + 4 = -v, 2*z = 3*v + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36\/11 + -274\/77. Which is the biggest value? (a) 1.5 (b) w (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*g*j**3 - 359*g*j**2 - 77172*g - 2*j**3 + 16*j**2 - 6279*j wrt j.\nAnswer: -606*g*j - 718*g - 12*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 357 - 202. Is 2356\/w*(-1 - 94\/(-4)) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 13*h = -4*r - 15, 10 = -2*h - 4*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 149334420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 - 3370*i**4 - 425640*i**3 - 11477680*i**2 + 51125840*i - 52882080 = 0.\nAnswer: -58, 2, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100100010 (base 2) to base 3.\nAnswer: 10012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(2\/7)))**(2\/89))**(-4)\/(((m\/(m*m**(-12)))\/m)\/m*m**(-2\/27))**(1\/17) assuming m is positive.\nAnswer: m**(-174308\/285957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - 8*d - 9. Calculate the remainder when 123 is divided by a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 - 8*q - 1. Give s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156 + 189*m**3 - 156 - 2*m**3 + 2*m**3 - m**3 + (2 - 3 + 3)*(0 + 2*m**3 + 0))*(-6*m + 2*m + 2*m).\nAnswer: -384*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8723643 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z + 7*z + z + (1 - 2 + 2)*(-15 + 7*z + 15)*(-1 - 4 + 2) to the form g*z + m and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05010542 plus -5?\nAnswer: -5.05010542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 3. Let h be o(3). Suppose 0*y - 3*y - 15 = h. Which is the nearest to -4? (a) y (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 31*v + 7. Let f be u(10). Let x = 52\/7 + -111\/14. Let y be 6\/9 + 3\/(-9). Which is the smallest value? (a) y (b) -7 (c) f (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-5))\/((-630)\/(-2700)). Suppose 7*l - 20 = 2*l. Suppose -2*p = 2*f + 2*p - 8, l*f = 4*p + 4. Solve f*x = -2*x - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 5*p**3 + 5855*p**2 - 3*p - 5853*p**2 to t*p**2 + y*p + s + r*p**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 32 = -3*g + 6*l, -3*l + 18 = 3*g. Solve 5*w - 2*a = -1, 0*w - 5*w + g = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by -768.\nAnswer: -65\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, a: 2, n: 9}. Give prob of picking 2 n.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 + 3. Let l be w(3). Solve -2*j - 2*c + 16 = 3*c, -j + 9 = l*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 569.26 - -6.\nAnswer: 575.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112932, 225837, 338710, 451551?\nAnswer: 564360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229827 and 113793?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 327 + l**2 - 327. Let y(f) = -4*f**2 + 6. Determine y(b(n)).\nAnswer: -4*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 54654*k\/5 + 218856\/5.\nAnswer: -3*(k + 4)*(5*k - 18238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 357 + 327 = 0. Let q(c) = -c**3 - c**2 + 6*c - 1. Let i be q(-3). Put -45, s, i in descending order.\nAnswer: i, s, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 0, -2*u + 157 = 3*j - 4*j. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*x + 9. Let t(q) be the third derivative of -q**4\/8 + q**3\/2 + q**2. Determine t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475042 is divided by 21592.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80154 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229176 is divided by 1219.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 179*n**2 + 277*n + 702. Calculate c(-88).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*o**2 - 88*o**2 - 52*o**2 in the form b + u*o**2 + t*o and give u.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/30 - p**4\/6 - p**3\/3 - 3*p**2 - p. What is u(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/3 - 2987*o**3\/3 + 1495*o**2\/3 + 498*o = 0. Calculate o.\nAnswer: -1494, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -1511*c**7\/42 + 7*c**4\/24 + 256*c**3\/3 - 2*c**2 - c + 35. What is the second derivative of q(u) wrt u?\nAnswer: -90660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2445668\/15283 + 506\/899. Let p = -12195\/68 + m. Calculate the common denominator of 4\/(-6) + 87\/18 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 6*l + 0*l + l**3 + 5*l + 1. Let h(g) = 2*g**2 - 2*g. Let j = -25 + 26. Let b be h(j). Calculate a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -27. Let i(f) = f**3 + f. Let o(b) = 760*b**3 - 2*b**2 - 2*b + 1. Let c(g) = z*o(g) + 2*i(g). Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3277 + -3275. Let s be 2 + 0*1\/2. Let i be 0 - (-1*1 - 1). Solve s*m - i = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 5*u - 2 = 0, 4*j + 4 = 2*u. Let f = 562\/183 + -12743\/4209. Which is the closest to j? (a) -0.1 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:45 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d - 1. Let w be q(-6). Let v be 1*2\/(8\/(-84)). Let x = 100 - v. What is the highest common factor of w and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.742 rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2114 - -2.2114. Suppose 0 = 5*d + 69 + 61. Sort j, -3, d in decreasing order.\nAnswer: j, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-40)\/(-25) + 4\/10. Solve -2*g + 16 = -3*f, r*g + 0*g = -2*f - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-300)\/(-80))\/5)\/(6*9\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22179 + 22675. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2004.084? (a) 5 (b) 3 (c) -6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 24964, 23, 4 in descending order.\nAnswer: 24964, 23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.0658 and 0.06?\nAnswer: -0.063948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*x - 4, -4*c + 6*c - 2 = -5*x. Suppose w - 2 = -x*w. What is the derivative of 4 - 3 - 3*o**w + 5 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149709619, -149709638, -149709669, -149709712, -149709767, -149709834?\n\"Answer: -6*k**2 - k - 149709612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:01 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6455767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 0 - (181 + -171 + (-2 - -7)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 96*z**2 - 502*z - 246. Calculate the remainder when 388 is divided by f(101).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 211319, -0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.615 + -6.715. What is the fifth smallest value in -113, 1\/3, -4, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -2 in increasing order.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*f**2 + 3)*(-17*f - 46*f + 17*f).\nAnswer: 138*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 28 = d, -291 + 451 = 5*d - 5*k. Suppose 64 = 4*i - 96. What is the lowest common multiple of i and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*f - 6022 = 52091, 0 = 2*h - 5*f - 29059. Is h a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*q - 191, -96*m = -99*m + 2*q + 573. What is the remainder when m is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 4*h**2 - 20*h - 10. Determine b(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/168 and -79\/1029.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -40*z + 7. Let y be f(-5). What is the common denominator of -2 + (1 - y\/(-48)) and 3123\/(-324) - (-1)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4533, 5 in descending order.\nAnswer: 5, -7, -4533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -24, -28, -32, -36, -40?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-1 + 1 + -1). Suppose 0 = 10*v - s*v - 10. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/6 - 4*t**2\/3 - 10*t\/3 + 16\/3.\nAnswer: (t - 2)*(t + 2)*(5*t - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 5 = -19*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + (-1 + sqrt(112))*-1 + (sqrt(112) + sqrt(112)*-2)*6 + 1*sqrt(112) + 2 + sqrt(112))**2.\nAnswer: 80*sqrt(7) + 2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 458*l - 459*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k**2 - k - 2. Let c(i) = 13*i**2 + i + 2. Give 5*c(v) + 4*s(v).\nAnswer: 13*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 6652.\nAnswer: 13\/6652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4)\/(-5)) + (-3 - -4). Let p = -648.06 + 648. Let c = 0 + -4. What is the nearest to -2 in p, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -21, -63, -121, -201, -309, -451, -633?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18200291 or -18200293?\nAnswer: -18200293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 - 2*p**2 + 24*p - 53. Determine v(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 2608?\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/2 + (1 - 3). Let x be 4\/l + (-16)\/(-10). Let y = -2 + 3. Sort y, 5, x in increasing order.\nAnswer: y, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**3 - p**2 - p - 1. Let b be t(-1). Suppose b*q + 16 = -4, 2*u - 4*q - 1854 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275674 + -275674.1. Let r = 0.3 + -0.34. Let y = -0.19 - r. Which is the closest to t? (a) 0.1 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 966?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26612555861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3. Let j(p) = -p - 13 + 11 - 2. Give 3*j(m) - 4*u(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3281 + 1935 = 84*z + 152*z - 3752 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(z**5 + 2*z**3 - 2*z**3) + (23*z**2 - 23*z**2 - 9*z**5)*(-5 + 0 + 0).\nAnswer: 44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223388054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -16*l + 49*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/288 and -103\/15460938.\nAnswer: 247375008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:43 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/57 and (4\/(-95))\/((-14)\/(-70)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -220? (a) 9 (b) -0.5 (c) -25 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4))\/((-4)\/((-40)\/(-6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:25 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5779 + 2205?\nAnswer: 7983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(24\/18))\/((-15)\/160).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -331 + 163. Let n = -166 - d. Solve 4*c = -3*w - 12, n*w + 0*w + 8 = 3*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -32) + -7 - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + d + 813, 3*d + 586 = 3*u + 7*d. Calculate the highest common divisor of 505 and u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000111721 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467926911 is divided by 2797.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 82*y + 31. Let i(g) = 29*g + 11. Let z(o) = -6*f(o) + 17*i(o). Let r(m) = -8*m - 12. Determine -r(x) - 12*z(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) + (74368\/24)\/14 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6360943, 1, -2\/11, -1 in decreasing order.\nAnswer: 1, -2\/11, -1, -6360943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let v(t) = -6*t + 11. Let r(o) = 5*g(o) + v(o). Let m be r(6). Solve m*s - 20 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4813906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*w + 55 = m + 37, -8 = 2*w for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-4 + 27 + 23 + -44).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 2 (c) 5422 (d) 2.5 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 3. Let k(s) = -s + 2. Let o be k(2). Let f = o - -2. Let d be y(f). Sort d, -2, 2 in ascending order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(135\/(-1221)))\/(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002049 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210903 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11 - k - 9 + 11. Let x be l(13). Suppose x = -2*t + 10 + 20. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4588 and 998852?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30268, 30269, 30270?\n\"Answer: w + 30267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 + 252. Suppose -l*p = -89*p - 5. Sort -39, p, -3 in descending order.\nAnswer: -3, p, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - sqrt(11)) + 4 + sqrt(11) + sqrt(44)*-5)*3)**2.\nAnswer: -432*sqrt(11) + 3708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -26*a + 3. Suppose -a*o = -o. Suppose -219 = -o*p - 3*p. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*l**3 - 5 - 2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6420 - -2a?\nAnswer: -63d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/33)\/((-3)\/(-171) + 0). What is the highest common factor of u and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**4 - 12*n**3 - 108*n**2 - 3.\nAnswer: 144*n - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3882703, 7765121, 11647539, 15529957, 19412375, 23294793?\n\"Answer: 3882418*i + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t**3 - 6*t**3 - 23*t**3 + ((-6 - 19 + 8)*(-1 + 5 - 2) - 12 + 15 - 5)*(-3*t**3 + t**3 + t**3).\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 1. Do p and 2\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 4. Let y be b(6). Let s be -1*3\/(3\/2). Let n = s - y. Solve n*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -11*c - q + 22, 2*q = c. Suppose -x + 97 = c*k - 2*x, 5*k + 2*x - 131 = 0. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ca21 (base 13) to base 9\nAnswer: -42461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(0 + sqrt(208)))**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 5. Let n(o) = -4*o + 4. Let t(f) = -4*n(f) + 5*q(f). Calculate t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.068 - 0.032. Which is the second smallest value? (a) 2\/7 (b) t (c) 0 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let r(l) = 1025*l. Give f(r(y)).\nAnswer: 2050*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (3 + 34\/(-12)))\/(17\/(-9892878)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1818.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/14)\/(4\/14). Let y(g) = 15*g**2 - g + 2. What is the tens digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 12 = -6, -2*o + 4*a = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135775?\nAnswer: 5, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36552, -36590, -36654, -36744?\n\"Answer: -13*u**2 + u - 36540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 33*p**2. Let l(j) = -1 + 1 - 53*j + 329623*j**2 - 329621*j**2. What is l(o(m))?\nAnswer: 2178*m**4 - 1749*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3785*15\nAnswer: 5.6775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -470\/629?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2*w + 7)*(0 + 2 - 2*w - 93) to the form h*w**2 + t*w + g and give t.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2196, -269, -2734, -5199, -7664, -10129?\n\"Answer: -2465*h + 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l)\/(l\/((l*l**6*l*l*l)\/l))*(l\/l**2)**(10\/9) assuming l is positive.\nAnswer: l**(151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6 = -4*q + 10, -1 = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-45) + (-4)\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 26 = -32. Suppose 4*h = q*h + 2. Let s = h - 7. Sort s, 0, -13.\nAnswer: -13, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 63. What is the remainder when g(-24) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -0.0121 (c) -0.4 (d) 2 (e) -1\/4 (f) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 25 = -0*a. Suppose -a = -0*l + 5*l, 2*s - l = 15. Suppose -5*w = s*o - 23 - 2, 23 = 3*w - o. Calculate the least common multiple of 3 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -28. Calculate the greatest common divisor of i and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + -17 + 14 + -7 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.017226422611 - -3.126\nAnswer: 3.143226422611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262\/3 - -88. Let k = -16333 - -16336. Find g, given that 0 - 4\/3*g + 2*g**2 - j*g**k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4516, -9028, -13540?\nAnswer: -18052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*z + 6, -3*z + f = -3*f - 2. Let u = 5 - z. Suppose 2*r = -u*r + 25. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3*b - 1. Let y = 7 + -5. Let u be v(y). Suppose 61 - u = 5*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01149mm in centimeters?\nAnswer: 0.001149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -0*m + 5*m. What is the remainder when 72 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13708?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -23) + (-30 - ((-7 - -2 - -1) + -4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 24*f**2 + 0*f**4 + 0*f**4 - 1 - 2*f**4 to s*f**3 + q*f**2 + g*f**4 + h + b*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/105 + 83*l**6\/15 - l**5\/30 - 83*l**4\/3 + 817*l**2. Factor h(j).\nAnswer: 2*j*(j - 1)*(j + 1)*(j + 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 580 + -571. Suppose 2*p + 0 = 4. Let o be (-4 + 1)\/(p\/(-2)). Solve 0 = -n - o*h - w + 2, -n + 2*h = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -101\/6, 0.3, 2\/5 in descending order.\nAnswer: 2\/5, 0.3, -4, -101\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*x**2 + 0*x**3 - 2*x**3 + 5*x**2.\nAnswer: -2*x**3 + 390*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2925 (base 11) to base 2.\nAnswer: 111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171417697 by 55891.\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o - 2*o**3 - 23*o**2 + 23*o**2.\nAnswer: -2*o**3 + 79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/20 - t**4\/24 + 5*t**3\/3 + 4. Let z(h) be the third derivative of l(h). Suppose -14*w - 15 = 27. Give z(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 7, f: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16562150 and -87\/220.\nAnswer: 33124300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 15 = b. Let h be (111\/b)\/(1\/(-2)). Let k = -48 - h. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 1159*p**2 - 7860*p - 18. Calculate t(-393).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/15 - 40204*h\/3 + 1010226010\/3.\nAnswer: 2*(h - 50255)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*n - 4*n. What are the prime factors of n?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - q = -63, 4*v + 3*q + 2*q = 75. Let g = 215 - 292. Let o = -71 - g. Calculate the greatest common factor of o and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -61*x - 445. Determine h(8).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -110 - w**3 + 107 - 10*w**2 + 2*w + 2*w**2. Is 5 a factor of p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, a: 9}. Give prob of picking 2 a.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*9*((-4)\/(-12) - 0). What is the units digit of (-4)\/(-10)*(23 - a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36235.3 - 29224. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229503?\nAnswer: 3, 7, 61, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12702930 to the nearest 10000.\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*4 + 4.\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -814 divided by -37?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.5 - -24. Let m(u) = -u**3 - 7*u**2 - u - 8. Let g be m(-7). Which is the second biggest value? (a) -0.3 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/816 - 69\/306?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -12882.\nAnswer: -6441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n - 22*o - 114 = -80*n + 36*n, 0*o = 5*o + 5 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 2. Let z = 37 - 42. Which is the second smallest value? (a) 0.2 (b) -2\/5 (c) l (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 55, 78, 103, 130, 159, 190?\n\"Answer: z**2 + 18*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209829 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 smaller than 345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d**3 - 4*d**2 + 4. Let u(t) = -25*t**3 + 9*t**2 - 9. What is 4*u(f) + 9*v(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3250 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11538?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/14 and -91\/1900.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*o - 3*o + 19, 0 = -4*o + 2*d + 26. Let b be 18\/20 - 2\/4. What is the closest to b in -0.4, o, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 9*h**2 + 3*h + 32*h - 14*h**2 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298716 divided by 682\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 9*v - c - 1 = 0, -3*c - 11 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 59. What is the second biggest value in -2, j, 4\/11, 2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -976 (b) -1\/4 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-9) - (-102)\/27) + 344. What is the greatest common divisor of d and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -46*p**3 + 77*p - 1069. Let m(a) = 9*a**3 - 14*a + 214. Calculate -2*b(c) - 11*m(c).\nAnswer: -7*c**3 - 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 708 = -22*s. Let g = -148 + s. Which is the second smallest value? (a) -4 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136317 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39941637 is divided by 7318.\nAnswer: 7311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5197*0.5.\nAnswer: -0.25985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 23 + 103)*(12*b + 60*b - 19*b) to r + z*b and give z.\nAnswer: 5141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*h. Suppose -11 = -2*d - 3*x, 0 = -h*d - 4*x + 24 + 21. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 443104 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 5940*y**2 + 2352240*y - 310495680.\nAnswer: 5*(y - 396)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -2*(-1)\/(-2). Suppose p*s = 4*s - 8. Factor -1\/3*k - 2\/3*k**s + 0 - 4\/3*k**4 + 7\/3*k**3.\nAnswer: -k*(k - 1)**2*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(5\/9))\/((-3222)\/53700)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -56049542 and -56049541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1226977 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*x - 5*x + 2*x)*(-5*x**4 + 3*x**3 - 3*x**3) - 6 + 6 + 3*x**5.\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-47)*(h**(1\/3))**25)**(2\/69) assuming h is positive.\nAnswer: h**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13282 by -6641.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17833, 17815, 17797, 17779?\n\"Answer: -18*k + 17851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76 - -72)*(8\/40)\/(-1). Factor -2\/5*x**3 - s*x**2 + 4\/5 + 2\/5*x.\nAnswer: -2*(x - 1)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481605066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-60))\/(-9)*-60.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166898?\nAnswer: 2, 83449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 12003.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 10. Let t be j(-7). Suppose -4*q + 16 = 2*a - t, 2*q + 10 = 0. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5 - 230*t**4 - 865797*t**3 - 865566*t**2 = 0.\nAnswer: -822, -1, 0, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-84)\/(-147) - 2375\/3948 and -83\/1410.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -3) + (-96)\/50. Suppose 63 - 155 = -4*h. Let t = h + -91\/4. Sort -0.2, i, t in decreasing order.\nAnswer: t, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 52*z**3 + 2*z**2 - 2*z + 1. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/42 + f**6\/30 + 13*f**4\/3 - 119*f**2. Find the second derivative of w(i) wrt i.\nAnswer: 160*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 = 2*y, 2*c - 8 = -4*y + 4. Suppose 6 = c*t + 2. Let m be (-13)\/(-11) + 1\/(-1). Which is greater: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 274*o**3 - 273*o**2 - 4. Let b(z) = 548*z**3 - 547*z**2 - 9. Let d(f) = 4*b(f) - 9*s(f). What is the third derivative of d(t) wrt t?\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, q: 4, l: 1, h: 4, v: 2}. Give prob of sequence lq.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 67\/5 + (-6)\/15. Suppose 0 = 3*p - 77 - m. Calculate the highest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45961 and -0.2.\nAnswer: -9192.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0401 - 5.5001. Let a = 3476 - 3471.4. Let n = a + h. Round n to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - (6 + 13)) + -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + -1 - -4. Let f be -2 + 0 - (m - 5). Solve f*z = 2*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088718 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24271602*q**2 - 24271750*q**2 + 48543080*q**2.\nAnswer: -272*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + sqrt(3888)*2)\/(sqrt(144)\/sqrt(4)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8512648*w**4 - 14*w - 921355598?\nAnswer: 34050592*w**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.018.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4\/9)*h))\/(h**(-2\/7)\/h))\/(h**(-3)\/(h\/h**(-4)))*(h*h**(3\/8)\/h)\/((h\/(h*h**7*h*h))\/h)*((h*h**(-1)*h)\/h)**(3\/4) assuming h is positive.\nAnswer: h**(10133\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11344440 and 1366800?\nAnswer: 113444400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 3. Let h(y) = 9*y - 8. Let g(b) = b - 2. Let w be g(-5). Let x(p) = 13*p - 12. Let a(f) = w*h(f) + 5*x(f). Calculate 3*a(t) - 4*s(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1752 - 41905.29978.\nAnswer: -40153.29978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-32))\/(-15)*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -331312 (base 4) to base 15\nAnswer: -128d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 14*i**2 - 55*i - 39. Let x be y(-7). Let p(l) = l**3 - 5*l**2 - 6*l + 2. Let m be p(6). Solve m*v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/11, 7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/162 and -37\/135.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 6, -2*m + 3*n - 354 = -7*m. Suppose 6*j = j + 4*c + 90, 0 = 4*j + 3*c - m. Let r = j + -11. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - p - 4769 = -4*n, 5*n + 4*p = 4749. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -59\/2. Let t(l) = l**2 - 7*l - 37. Let u be t(11). Suppose u = r + 4. What is the closest to 0 in -3\/5, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -164. Suppose -4*g - 426 = -3*r, -g + 2*g + 581 = 4*r. Suppose -45*f - r = -43*f. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3027000 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63558029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-1 + 3\/2). Let j(g) = 5*g**3 + 2*g**2 - 42*g + 5. Let a(t) = 14*t**3 + 6*t**2 - 116*t + 14. Let v(f) = 4*a(f) - 11*j(f). What is v(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(4032)*1 + -3 + -1 + sqrt(4032) + -3 + 0)**2.\nAnswer: -480*sqrt(7) + 16153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 883528729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*a - 2*g - 0 - 25, -5*a - 60 + 15 = -g for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h - 19*h - 13*h - 291285*h**2.\nAnswer: -291285*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 - 2*c**2)*(0 - c + 0) - 493*c - 325*c + 403*c + 32*c**3.\nAnswer: 33*c**3 - 415*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = 347. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30223.\nAnswer: 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46587 divided by 1725.\nAnswer: 15529\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11902259*o**2*z**3 - 142*o**2*z + 17*z - 56 wrt z.\nAnswer: 71413554*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 2)*(2358*w - 14 - 1178*w - 1182*w) to k + h*w and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)*r**(-10) assuming r is positive.\nAnswer: r**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28537*u**3 + 27*u**2 + 10*u + 45 wrt u.\nAnswer: -171222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 26 (b) -4 (c) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/(k**(1\/6)\/k*k)*k)*k)\/k)\/((k\/(k\/(k*k*k**(2\/21)*k)))\/k)*k*k**(-4\/7)*k**(-8) assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610242 is divided by 304693?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g**2 - 39 + 9*g**3 + 7*g**3 + 53 + 0*g - 14*g. Let t(d) = -d**3 + d**2 + d - 1. Calculate -4*n(x) - 56*t(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwawxzkzkaa. What is prob of sequence km?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from llvlvv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5377 + 28325. What are the prime factors of x?\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(72)*-1)\/sqrt(6))*5*3.\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m, -d - 5*m - 229 = 3*d. Let f = d + 385. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731, 5999, 14779, 27071, 42875, 62191, 85019?\nAnswer: 111359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*u**2 - 49*u**2 - 77*u**2)*(4 - u**3 - 4) + 3*u**3 - u**3 + 0*u**3 - 1 + u**5.\nAnswer: 264*u**5 + 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 40*p**2 - 137*p - 39. Give n(23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 14 = 6. Let g(s) = s - 5. Let i(h) = 1 + 0 + 13 - 3*h. Determine k*i(p) - 11*g(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 6. Let j = -8 - -3. Let u be g(j). Solve -4*f - 3*k = 10, 2*f + 3*k + u = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-228)\/(-8))*6. Let x be q\/7 + 1\/7. Let h be (0 + x)\/((-2)\/(-22)). Calculate the greatest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 6)\/(1 + 110\/(-105)) - -4. Which is smaller: c or 1.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 211*p**5\/10 + 115*p**3\/2 + 1146*p. What is the second derivative of d(r) wrt r?\nAnswer: 2532*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = -16. Let u be (1\/4)\/((-3)\/d). Let z = 8 - 8. Is z at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1*(-6)\/(-57). Let w be 2*(-1 - (-116)\/(-8)). Let j = w - -123\/4. What is the closest to j in u, 2\/9, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 - q + 4. Let i be z(5). Sort 4, 5, i.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 5, z: 8}. Give prob of sequence zq.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69677265 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 2112725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101946*c**2*f**3 + c**2*f - 104*c*f**3 - 2*c*f**2 - 2*c - 17*f**2 + 32729*f wrt f.\nAnswer: 611676*c**2 - 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77994?\nAnswer: 2, 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -4301.\nAnswer: -82\/4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -4 (c) 3\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:16 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:03 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t - 5*o = -40, -2*t + 5*o = 70. What is the common denominator of (158\/(-10))\/(24\/t) and 51\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -91.2, 0, 4\/7, -5 in increasing order.\nAnswer: -91.2, -5, 0, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 327900 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17.74719 * -4\nAnswer: -70.98876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 - b + 28)*(0 + 2 + 0*b - b) to k*b + q*b**2 + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by -35*((-1680)\/9408 + -1 + 6\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -32. Suppose -44 - 4 = -2*s. Calculate the least common multiple of 2 and 256\/s + m\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/48)\/(9\/(-96)*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 30*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((8\/50)\/(288\/(-9360)))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -153, 3\/7, -1\/4, -192 in decreasing order.\nAnswer: 0.5, 3\/7, -1\/4, -153, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - -2) - (-59 - (-38 + 13) - -85)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Let i = 22 + -24. Let v be (-2 - (-90)\/23) + i. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -811 + 1503. Suppose 5*u - 2*j = 697, -5*u - 6*j + l = -3*j. Suppose -2*b = 3*z - 306, -4*z + 2*z = -b + u. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18914122*w**3 + 8445670*w**2 + 1?\nAnswer: 113484732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-13))\/((-7604)\/(-1901))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 2*x + 105. Let w = -178 - -325. What is the highest common factor of x and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5312 + 75418. Round k to the nearest 1000.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1964 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524590*p - 524570*p = -700 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - a**2 - 2. Let t be m(-2). Let z = t + 26. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - v - 12 = 0, -2*s + s = -4*v + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 minus 1646076?\nAnswer: -1646042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8820*q. Let c(p) = -3*p**2. Calculate c(f(r)).\nAnswer: -233377200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 6\/4)*0. Let c(s) = -3*s - 8. Let u be c(-2). Sort 5, u, z in ascending order.\nAnswer: u, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 29*a - 67*a + 14*a + 12*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 205 = 5*b, 3*b - 26 = -v + 95. Calculate the lowest common multiple of 20 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-1008)*-8)\/(33\/44).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -724\/7 + 103. Let g = 162 - 179.4. Let q = g - -17. What is the biggest value in q, -3, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 49*o**2 + 97*o + 360. What is the remainder when a(-51) is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 - 5058 - 13*g + 88*g + 2297*g**2 - 14*g**4 - g**3 - 2297*g**2 with respect to g.\nAnswer: -56*g**3 - 6*g**2 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 6 + 3 + (72 - 15) + 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-11 + 5 + -2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4276 - -4?\nAnswer: 427a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52580234 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 369 + -1062. Let m(l) = l**3 - 5*l**2 - 2*l + 10. Let u be m(5). What is the units digit of (-2 - u)*f\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 - 307 - 2*n + 41 - 69.\nAnswer: -2*n - 582","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095251018.\nAnswer: 2, 31, 151, 116989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3 in descending order.\nAnswer: 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12699 divided by 6?\nAnswer: -4233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvddevvewdhwdgdwdd. What is prob of sequence wvvd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6*3)\/(-6 - 11).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z + 4564. Let j(f) = -11*f - 4571. Calculate -6*j(c) - 5*p(c).\nAnswer: c + 4606","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 - 8*q**2 - 5*q - 14. Let n be o(-3). Solve 10*t - n + 97 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 2*j - 3 - 10*j + j. Let i(o) = 2*o. What is i(w(a))?\nAnswer: -20*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtmvtmmvmvmmt. Give prob of picking 1 v and 3 t.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 5*l = -145, 2*m + 105 = 3*l. Let k(t) = -57*t**2 - t. Let s be k(1). Let p = s - m. Which is greater: p or 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 54. What is the smallest common multiple of 33 + -10 - 9 - -142 and 36\/45*y\/(-4)?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 81.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 153 = -0*l. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197.5 - -193.5. Let z = 47\/370 + -1\/37. Sort 0.5, g, z.\nAnswer: g, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110307 - -110324. Let h = 52 + -35. What is the highest common factor of h and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27926031073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -5, 148, -1280, 0.3, -4, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.1. Let g = -2.5 - l. Let x = 4 + g. What is the closest to x in -4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93.26917745 - -68.3.\nAnswer: -24.96917745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 28. Let x be 3*48\/18 + 1 + t. Solve -3 = x*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)*k*k**(-3\/7)*k*k**(-2\/17)*k*k*k\/k**(3\/7)*k assuming k is positive.\nAnswer: k**(615\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792*v - 6534 = -1429*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/27 + 0 + 2. Let u = -101 - -106. Which is the biggest value? (a) -4\/3 (b) 1\/3 (c) u (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p + 40. Let -4*s**2 - p*s**2 + 2*s**2 + 2*s**2 + 6*s**3 - 8*s = 0. What is s?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10*n - 54. Let z be b(21). Let i = z + 312. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/2, -15\/13, 0.02, -23, 0.7, -2, -1\/6?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 5*i + 4. Let d be g(-5). Let t be 0 + 2*(-2)\/d. Which is the biggest value? (a) t (b) -0.5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 149937, 3, 4, -5, 0.1, 0.2, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3552\/(-176))\/((-200)\/1100)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -11, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s - 3. Let c(q) = 45*q - 8. What is 6*c(g) - 17*y(g)?\nAnswer: 15*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21475399 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**3 - 465*m**2?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 14 + 54. Suppose -l + 5 = -u. Solve 4*m + l - 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79965 is divided by 1052?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.3, 1\/2, -0.2, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122384, -122386, -122388, -122390, -122392?\nAnswer: -122394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184953836872278 take away -0.4?\nAnswer: 184953836872278.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -120121 (base 5) in base 11?\nAnswer: -3350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10004 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Let b = n + 1. Suppose b*x + 3*j - 140 = 2*x, -3*x + 402 = 3*j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -115 and 546.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 2*m + 2. Let c be k(3). Let h(t) = -2*t**3 - 2*t - 1. Let l be h(c). Let d be 11\/3 - 2\/l. Solve -2 - d = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 125 - 49 = -62*b. What is the nearest to 89\/10 in 1, b, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -28*v + 228. Suppose 5*f - 50 = -3*t - 1, -2*t - 4*f + 36 = 0. Let k be q(t). Solve k = -u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1976 in -3\/11, 76, 0.4, -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Let u(v) = v**2 + 7*v + 6. Let w be u(-8). Solve t = -5*x + 11 + w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:39 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (16 - 2) + (0 - 3). Is (-13566)\/(-54) - 2\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35143.5 - 35142. Let t be (4 + -6)*(-1)\/(-17). Which is the biggest value? (a) v (b) t (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 1446.\nAnswer: 1446.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c + 1. Let n(k) = -10*k**2 + 12*k - 12. Let w(u) = n(u) + 12*t(u). Let h(o) = -3*o + 3*o + 21*o**2 - 11*o**2. Give h(w(p)).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 150 + 54 = 0. Suppose -26 = -5*n - f. Let j be (-1)\/((6\/n)\/(-6)). Solve -j - 13 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)*d)\/d*d*(d**(1\/3)*d*d*d)\/d)**(15\/4) assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 139*j**2 - 199*j - 11699. Give x(141).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1080)*-8*6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/25*7\/(-7)*(-765)\/135.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88904 + -31401. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (78\/15)\/(4\/20). Let s = q + 5. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2228 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriiyriyirxrpxxrr. Give prob of picking 1 r, 1 y, 1 i, and 1 p.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 + -32. Let t = w - 371. Let x be 2 + (-4)\/(-6) + -2. What is the third biggest value in x, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4353*x**2 - 42*x**3 - 4401*x**2 - 2 + x as d*x**3 + h*x + v + j*x**2 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let l(k) = 19669*k - 2. Let m be l(3). Let s be m - w - 1*2. Round s to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1603, -3194, -4765, -6304, -7799?\n\"Answer: 2*t**3 - 2*t**2 - 1599*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.5. Let k = -1.1 + 0.3. Let i = k + 2.8. What is the smallest value in i, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**6\/45 - 3*y**4\/8 - y**3 + 19. Let h(n) be the third derivative of c(n). Differentiate h(d) with respect to d.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 31 = 3*w, -5*w + 43 = 4*m - 20. Suppose 0 = 5*k - 2*k - 33. What is the lowest common multiple of k and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 2*x + 4*x)*(-9*x + 5*x - 11*x)*(7 + 2 - 4)*(0 + 0 - 2*x)*(0 - 2 + 3) as y*x**3 + m*x**2 + l + d*x and give y.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -49*t + 1. Let d be v(-1). Suppose -4*q = 4*z - 1 - 7, 2*q + 4*z = 12. Let h be (-117)\/(-12) - q\/8. Calculate the highest common divisor of d and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Let t be 31\/(-93) - 76\/6. Is t <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 2*q**2 - 155*q**3 + 156*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 39. Let i = -2\/1221 - 3551\/68376. Is i < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 982.8, -0.1, 1\/3 in increasing order.\nAnswer: -0.1, 1\/3, 982.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-21))\/(2\/(-30)). Suppose -i*o - 3*o = -3200. Suppose -492 = -5*l - 3*q - 0*q, -4*q = -4*l + o. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 + -301. Solve -8*l + n*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*p - 1061*p + 319 + 952 = 0 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b68 (base 13) to base 10.\nAnswer: -12930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -12*g + 182. Let r(j) = j**2 - j**3 + 7*j - 7*j + j**2 - 12 + 11 + g*j. Determine r(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 + 4*l**2 + 4*l + 8. Suppose g - 3*g + 46 = 0. Let h = g - 19. Let k(c) = 4*c**3 - 5*c**2 - 5*c - 9. Calculate h*k(m) + 5*u(m).\nAnswer: m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1031122 + 12432?\nAnswer: 1044104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {o: 1, t: 2, c: 2, b: 1, y: 1, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5811, 23235, 52275, 92931, 145203, 209091?\nAnswer: 284595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/187 + 53\/(-11). Let z(d) = 3*d. Let q(l) = -12826*l + 6412*l + 6417*l. Give u*q(i) + 4*z(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.891472386 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:03 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2 + o + 2. Suppose -s + 9 = 2*s. Let i be -3 + 4\/1 - 1. Let x = i - s. Determine v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215990024.27 - 118\nAnswer: 215989906.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*m - 13538, -5*p + 43341 = -5*m + 9496. List the prime factors of p.\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84345, 84344, 84343, 84342?\nAnswer: 84341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 116*o - 2018. Determine l(8).\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 4. Let y = 1402 + -1405. Let m(d) = -2*d**3 + 11*d**2 + 11. What is y*m(l) - 8*s(l)?\nAnswer: -2*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*m**6 - 319*m**3 - 2*m**2 + 5*m - 2844 wrt m.\nAnswer: 32880*m**3 - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 3*d - 21. Let c(b) = b**3 + 5*b**2 - 2*b - 4. Does 4 divide c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 0.127, 0.2, -16.\nAnswer: -16, -5, 0.127, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/27269 + -54544\/81807. Let i = 1 - 0. Let q(o) = -o - 1. Let l be q(i). Which is the second smallest value? (a) l (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 25, -3*x = -8*x + 5*s - 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*o - 2329*o + 11900 = 0 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263868583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:08 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*b**4*d**3 + 3*b**3*d**3 + 163*d**3 wrt b?\nAnswer: 96*b**3*d**3 + 9*b**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 19*w - 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 = -5. Let t = m + -6. Solve -3 + t = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/155*20\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3224\/12*(-15)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -42.22, 2\/5, 2\/255, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 + 2 + 0*i**3 + 5*i**4 + 5*i**3 to the form w*i + v*i**4 + o + c*i**3 + p*i**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {g: 3, o: 13, i: 1}?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 8*c + 3. Let h(f) = -22*f - 35. Let y(i) = -19*i - 34. Let x(p) = -6*h(p) + 7*y(p). Let z be x(-35). Give u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 287*q = -47194 - 50488. Suppose 2*k + 1 = -675. Is q at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/53, -1\/11, 13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3200464 (base 9) to base 2.\nAnswer: -110100010001010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1405 by 6.\nAnswer: -1405\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192074271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = 56. Let z = -12 - g. Find the third derivative of 130*t**6 - 128*t**6 - 2*t**2 - 9*t**z wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 y, and 1 h when four letters picked without replacement from {o: 4, y: 4, d: 3, h: 3}.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457264 (base 16) in base 13?\nAnswer: c34777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1)\/(sqrt(24)\/(-1*sqrt(6))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -260 - -250 - (22 - 6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3423739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*m + 9655 + 2573 = 26*m - 547 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/(-12) - (-4)\/16. Suppose 0 = -v*u + 25 + 35. Let h = -9 + u. Is 1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6154, -12510, -18866, -25222?\nAnswer: -31578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/((sqrt(108)\/sqrt(3))\/sqrt(6)))\/((sqrt(9072)*1 + sqrt(9072))\/sqrt(9)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*q, -3*q + 7 = 2*w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3228\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.17 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddbxbbbx. What is prob of picking 1 x and 2 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -233*h**3 - 17*h**2 - 10*h + 1. Give t(-1).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y. Let n = -1182 + 1183. Let z(l) = -16*l**3 - 24*l**2 + 24*l. Determine n*z(f) + 24*o(f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946955?\nAnswer: 5, 189391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 2. Suppose 2*l = -5*h - 7, -h - 15 = 2*l - 4*h. Let b be s(l). Sort -3, b, 0 in descending order.\nAnswer: b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {q: 6, t: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 4*n - 4*n)*(-25*n**3 - 18*n**3 - 8*n**3) - 2*n - n + 5*n**4 - 6*n**4 to s*n**2 + z + a*n**3 + u*n + i*n**4 and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -1, 1\/3, 11074, -3\/7, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32475, -32474, -32473, -32472, -32471, -32470?\nAnswer: -32469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4252 - -46722\/11. Let h be ((-10)\/3)\/((-88)\/186). Let q = u + h. Find the common denominator of q and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from dqdddqdddddd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 34425071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*y - 437*c**3 + 1317*c**2 - 2*c*y wrt c.\nAnswer: -24*y - 2622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1194 and 29.\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8628004 and -51\/572.\nAnswer: 112164052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-7)\/(49\/(-28))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -139656756 divided by -3\nAnswer: 46552252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 - f**2 - 3*f + 4. Let c be p(1). Put -18, -1, 1, c in decreasing order.\nAnswer: c, 1, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 7*h + 1. Let a be -4 + 21\/3 + 3. Let i be m(a). What are the prime factors of i\/(147\/108)*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1895\/9 (b) -11 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {w: 2, c: 3, m: 1, i: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 736 + -735. Suppose 6 = -5*q - 3*z, q = z + 1 - 7. Let x(n) = n**3 + 13*n**2 + 22*n - 5. Let r be x(-11). Sort m, r, q.\nAnswer: r, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from axjppkaoaaaoaxjxkk.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/5020899 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/2 + 1236*v + 42891\/2 = 0. What is v?\nAnswer: -17, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let n be 18\/(-4)*2\/1. What is the remainder when 31 is divided by z(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 750128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -44, -139, -322, -623, -1072, -1699, -2534?\n\"Answer: -5*x**3 + x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137898 * 112.22.\nAnswer: -15474913.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 37. Suppose 0 = 4*f - 5*w - h, -f = 4*f + w - 10. Suppose 0 = f*x - x - 58. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*d. Which is the closest to d? (a) 4 (b) 2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4386 + 172?\nAnswer: 4568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 90. Solve x + 47 = d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65216 and 0.011?\nAnswer: 717.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5445 and 7261815?\nAnswer: 21785445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275026 by -2.\nAnswer: 137513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(2 + 2 + (-3 - 3)). Let b = -10 + 16. Suppose -2*v + b*v = -8. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70752654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/24)\/7*16*5\/220.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 31. Let b(y) = 55. Suppose x - 8 = 3*n - 15, -2*n = 2. Let r(q) = -23. Let k(w) = x*r(w) - 4*b(w). What is -2*d(g) - 7*k(g)?\nAnswer: -2*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232097 and 19933.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 4*u)*((1 - 4 + 1)*(-2 + 1 - 1) - 3 + 2 - 1 + 3 - 7 - 4)*(-u + 3*u - u).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 32819695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*w + 3 = 0, 5 = 2*j + w + 4. Sort 3, 1, j in ascending order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676830825 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-159)\/(-4))\/(2072\/(-448)) - (1 - 8)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*v + 48 = m, -m - 5*v = -42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(91)\/(sqrt(63)*-1).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044 is divided by 323.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16016 and 263120.\nAnswer: 1841840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359948.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**4\/7 - 27068*i**3 - 11415398*i**2\/7 - 24855240*i - 56734200\/7 = 0. Calculate i.\nAnswer: -31519, -30, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46921, 46939, 46981, 47053, 47161?\nAnswer: 47311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12377571 or -12377580?\nAnswer: -12377571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 414, 29 in increasing order.\nAnswer: -5, -2, 29, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855 + 768 = 29*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20303250 is divided by 203.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0)\/(4\/(-38)). Suppose 0 = -12*w + 14*w + 8. Let d be (-2)\/(909\/228 + w). What is the highest common divisor of h and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 9, -4\/193, -1\/4?\nAnswer: -4\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a, 2*a = -3*h + 15 + 52. Let o = -18 + h. Suppose -2*s = 3*z + o, 4*z + 5*s + 8 = 2*z. Solve z = t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v*v)\/(v\/(v*v\/(v*v*v*v**(-6)*v)*v)))\/(v\/(v\/(v\/(v\/v**(-1))*v))*v**0))\/((((v**(-3\/8)\/v)\/v)\/v)\/(v**(3\/5)*v))**28 assuming v is positive.\nAnswer: v**(1453\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -662526 - -662646. Let q be -5*(0 - 236\/10). Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 419 - 104 = 0. Let t = r - -65. Solve t = -2*f + 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1604?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1779000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4005.64 (b) 0.1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-196) - (-8)\/(-196).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 21 = 18*c. Suppose 2*g - 3*g = c*y + 209, -282 = 4*y + 3*g. Let f = 162 + y. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 33*n**3 - 5*n**2 + 5*n - 5. Let l(y) = -17*y**3 + 3*y**2 - 3*y + 3. Give -3*a(f) - 5*l(f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 - i**4\/4 + 2*i**3\/3 + 7*i**2. Let d be a(4). Is 189\/4 - d\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:00 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d = 25*d - 243 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20528*o**3*q**2 + 22579115*o**3 - 211*o**2*q**4 wrt q?\nAnswer: 41056*o**3*q - 844*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*v + 4*x + 1, 0 = 2*v - 4*x - 10. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 127, 385, 819, 1471?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2 + 3*c - 1. Let y be (3\/(-3))\/1 + -2. Is m(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225376161260085 + 225376139059696.0099949. Let f = y + 22200388. Let g = f - -0.99. Round g to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -369 in 3\/4, 1\/5, -0.4, 55, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/3 + 4\/(-6). Suppose 2*m - 5*j + 13 = 3*m, -4*m - p*j + 18 = 0. Suppose -m*n = 2*n - 185. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k - 3*k**2 + 18*k**3 - 14*k**3 - 3*k**3 + 12. Give v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6702050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l - 3. Let q be w(-5). Suppose 4*t - 4*v = q, t = -3*t + 2*v + 12. Suppose 5*n = t*x - 211, -6*n = -x - 4*n + 71. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 2*c - 2. Calculate g(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-8) - (-4)\/16. Suppose 17 = b*s + s + 5*t, 0 = -s + 3*t. Solve 14 - 2 = 4*n, -s*n = -z - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 110)*2\/(-2). Calculate the greatest common divisor of r and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t + 8092 = -421*t - 290*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 22*x + 86. Let b = 120 - 74. What is the remainder when b is divided by h(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 14114*f**2 - 339168*f - 2035872.\nAnswer: (f - 14138)*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u**3 - 42*u**2 - 45*u - 64. Let a(n) = -3*n**3 + 14*n**2 + 15*n + 21. Let v(j) = 7*a(j) + 2*x(j). What is v(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126485 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49\/14 + (-1)\/2. Let f(m) = -5*m**2 + t*m**2 - 5*m**2 + 8*m**2. Let s(x) = 6*x + 1. Give s(f(k)).\nAnswer: 6*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 2*w**4 - 1657 + 1686 + 2*w**3 + 2*w**2 in the form f*w**2 + o + n*w + k*w**4 + a*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/492 and 3\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -0.043, 4\/23, -4\/3, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/(-260) - (-5)\/(-4). Let j(p) = -12*p**2 - p - 1. Calculate j(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12878 and 548.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (2 + sqrt(539) - sqrt(275)*-5)) + -4.\nAnswer: -192*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675392 by -168848.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133981.959 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-82)\/8 - -11)\/((-5)\/9008). Let v = -1758615211\/80 + 21981334. Let a = v - h. What is the common denominator of a and -101\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 9. Let l be m - ((-18)\/10 - -2). Which is the closest to -2\/3? (a) -0.3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/6*9\/(-15). Find the third derivative of -2*w**2 - 9*w**4 - w - w**r + w wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (40\/6 - 2) + 1290\/(-774)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q + 173*q = -3295 - 4205 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -709 (b) 12 (c) -147 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/2 + -3. Let q = -6 - 5. Let u = q + 13. What is the smallest value in -3, u, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56198 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.77 in 72, -1, 2\/17, -0.16, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 11) + 5 + (-40 - 0 - -27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15581926 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 811449 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407419056 by -67903176.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -32. Let x(n) = 9*n**2 + 3*n - 11. Is x(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3093 + -2947 - (-250)\/(-10).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384 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: Which is bigger: 4077 or 4076?\nAnswer: 4077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 2*r**2 + 224*r - 21. Give d(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {f: 1, n: 1, q: 2, d: 1, a: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/43)\/(r*r*r*((r\/(((r\/(r\/(r*r**(2\/27)\/r)))\/r)\/r)*r)\/r)\/r*r)*r**(-29)*r**26\/r assuming r is positive.\nAnswer: r**(-11470\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 4. Let o(d) = -6*d - 12. What is 8*k(r) + 3*o(r)?\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6 - r**3 + 7*r - 8*r + 16*r**2 - 14*r**2 as y*r**2 + z*r**3 + s + p*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l**5 - 174*l**4 + 256*l**3 - 88*l**2 = 0 for l.\nAnswer: -11, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8229*0.2.\nAnswer: 0.76458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (-38 + 36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*x = 1, 5*x + 12 = -13. Let b(q) = -1 - q + 2*q**3 - 6*q**y + 2*q**3 - 3*q**2. Let v(c) = 6*c**3 + 8*c**2 + 3*c + 3. Determine 8*b(s) + 3*v(s).\nAnswer: 2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**4. Let r(g) = -7111*g**4 + 68*g**2 - 28*g. Let t(m) = -14*a(m) - r(m). What is the third derivative of t(h) wrt h?\nAnswer: 169992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 + -144. Let m = 322.72 + u. Let g be ((-2)\/(-4))\/(2\/4). Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/13))**(4\/33)\/(x**(-6))**(-3\/22) assuming x is positive.\nAnswer: x**(-113\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 - ((6 - 2) + 4 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22387*s - 257 - 244 - 248 + 749.\nAnswer: 22387*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5353 and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 9*o**3 - 23*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 407*t + 15022. What is the thousands digit of j(126)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {p: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 18. Suppose 3*w - 2 - 10 = u, -4*j + 156 = 3*w. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -65*y**3\/3 - 122485*y**2 + 7318370*y\/3 + 378200 = 0.\nAnswer: -5673, -2\/13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 8*w**2 - 6*w + 6. Let g be r(5). Let i = 107 + g. Suppose 0 = -i*n - 0*n + 512. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-49))\/(((-24)\/18)\/(20\/(-15))).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*s - 24, -4*s + 2*q = -s - 13. Sort s, 2, 3 in descending order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*1)\/((sqrt(567) - sqrt(63) - sqrt(63))\/sqrt(9)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -168, -542, -1256, -2424?\n\"Answer: -19*y**3 + y**2 - 18*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*z**3 + 1333*z**3 - 674*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 48*g**2 - g + 8. Is 20 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**3*n*w**3 + 4*k**3*n*w**2 - 3*k**3*n*w + 42*k*n*w**3 - 10*n*w**2 wrt w?\nAnswer: -30*k**3*n + 252*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2270 - 636*f**2 + 635*f**2 + 2*f**3 - 3*f**3 + (-2 + 3 - 5)*(2*f**3 + 3*f**2 - 3*f**2).\nAnswer: -9*f**3 - f**2 + 2270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -24, 4, -3.\nAnswer: -24, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 2. Calculate n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o - 0. List the prime factors of (32\/12)\/((-1)\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 19 (c) 4 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13838, 13837, 13836, 13835, 13834, 13833?\n\"Answer: -s + 13839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r. Let t be m(0). Let q be (t - -12)*6\/9. Is (-4)\/1*(-186)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) - 1*(sqrt(2448) + -1)) - 6*(sqrt(2448) - (sqrt(2448) - 1*sqrt(2448))))*-1*-5)**2.\nAnswer: 3000*sqrt(17) + 1530025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4955 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: Let j(u) = -4*u - 4 - 1 - 7 + 1. Let y(m) = 2*m + 5. What is -6*j(q) - 13*y(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = 3*a, -5*o + 3*a = -7. Let z(u) = -u**3 + 4*u**2 - 4*u + 3. What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24596 is divided by 105 - 81 - (-2 + -4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**2 + f**2 - 3*f**2)*(2*f + 3*f - 4*f) + 8*f - 16*f**3 - 8*f)*(4 - 4 + 5*f).\nAnswer: -85*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 21.8. Let r = 2.2 - z. What is the nearest to -0.1 in r, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 2*k**3 - 56 - 4*k**3.\nAnswer: -2*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34414, 86209, 138006, 189805, 241606, 293409, 345214?\nAnswer: 397021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91000 = -906*v - 1369*v for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 21. Suppose x = -x - 4*p + n, 3*x - 18 = -4*p. Factor 2 - 4*y**2 - 2*y**3 + 2*y + x*y**2 + 0*y**3.\nAnswer: -2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 15 + 27 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8253129, -8253127, -8253125?\n\"Answer: 2*d - 8253131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -151e (base 15) in base 8?\nAnswer: -10661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -757 - -759. Let f(j) be the first derivative of -8*j**2 + 2 + 7*j**2 - 6 + j. Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f757 (base 16) in base 10?\nAnswer: -63319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111000000110111110010 (base 2) to base 3.\nAnswer: -212012010210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 90\/35)\/(((-6)\/21)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 - 35628*n**3 - 105636912*n**2 + 846948912*n - 1271065104 = 0. What is n?\nAnswer: -5942, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/((j\/(j\/(j\/(j\/(j\/j**23)))))\/j)*j**29 assuming j is positive.\nAnswer: j**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 4. Let i be m(8). Suppose -23 = q + 5*a, a - 6*a - 32 = i*q. Let z be (1 - 5\/q)*-97500. What is z rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -78\/4481?\nAnswer: -78\/4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1372) + 1 + 1*(sqrt(1372) - (sqrt(1372)*1 + sqrt(1372)))**2 + (-2*sqrt(1372)*5 + 3*(sqrt(1372) + sqrt(1372)*1 + sqrt(1372)))**2.\nAnswer: 14*sqrt(7) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19668682 divided by -1788062.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2827066138 and 638?\nAnswer: 2827065500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598?\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 7, -3.7, 28\/25, 2\/7 in ascending order.\nAnswer: -3.7, -2, -0.1, 2\/7, 28\/25, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.06 (c) -2 (d) -0.072 (e) -7.4 (f) -3 (g) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = 6*b + 3*b. Suppose 49*s = -19 + b. Solve 0 = 7*p - s - 34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1192 * -0.1322.\nAnswer: -157.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 13, 2, -13, -32?\n\"Answer: -2*f**2 - f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1316 divide 47440484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, -6, 0.3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 2*t**3 - 5*t - 6*t**2 + 5*t**2. Let j(f) = -f**2 - f. Suppose 0 = -4*l + 7*l - 3. Give l*z(w) - 5*j(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.3 - 14.3123. Round k to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 3 - (5 - (-5 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2724 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 24309281?\nAnswer: -7\/24309281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452.4725 litres to millilitres.\nAnswer: 452472.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gehhwchhchchegg. What is prob of sequence gweh?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, -28 in descending order.\nAnswer: 4, -2\/3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1938321718 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 121*s**2 + 359*s - 590. Give h(118).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -5*y + 55. What is the hundreds digit of (126\/35)\/(-9) + (-4652)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -136.\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 122\/18 - (-26)\/117. Let f(v) = 9*v**3 - 13*v**2 + 22*v + 10. Let c(z) = 4*z**3 - 6*z**2 + 9*z + 5. Let o(s) = h*c(s) - 3*f(s). What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.92 + -2.97. Let s = -0.327 - -2.288. Let x = b + s. What is x rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2940 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 4041722*n.\nAnswer: 2*n*(n + 2020861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6*v - 3*v - 87, -4*v = 5*k - 221. Let c be 20\/8 - (-4)\/8. Suppose k = c*w - 21. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 - 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 7681?\nAnswer: 7684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 304124085 and -7.8.\nAnswer: 304124077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 207b8 + -6b?\nAnswer: 2074c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -82*i - 23. Let b be 41 + (-1 + 0)\/(-1). Suppose -b - 3 = 3*n. Is k(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 216419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 44 = 7*i, 11*p = 7*p + i - 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -682*q - 1395. Let t be k(-5). Calculate the highest common divisor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)**(-3\/16)\/(s**(-5\/6)*s*s*s*s\/s**(-10\/7)))**(-23) assuming s is positive.\nAnswer: s**(31165\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 >= -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(2\/17)\/(y**6*y**3*y)*((y\/y**1)\/y)**(6\/23)*y**(-1\/4)*y**6 assuming y is positive.\nAnswer: y**(-20981\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027492809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q = -25*q + 3*l - 70, -9*q = -3*l + 63 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/218 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -54. Suppose -k + 3*x - 2 = 0, -6*x = -x - v. Suppose -2*o + 327 = -y, -5*y = -k + 35. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.93 - -14. Let l = s - -0.23. Sort 0.5, l, -4 in decreasing order.\nAnswer: 0.5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1207 = 10*f - 1243. Suppose 252*n - f*n = 336. Find the common denominator of n and ((-159)\/15)\/(2\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than or equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 7\/3 (b) -0.44 (c) 0 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 - -186. Suppose u*m - 11*m - 2678 = 0. Calculate the remainder when m is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -384, -509, -634?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-364)\/480 - (-12)\/15. Let t(r) be the second derivative of 2*r - 1\/12*r**3 + 0*r**2 + 0 + x*r**4. Find f such that t(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {p: 4, j: 1, i: 2, e: 3, o: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88392 + -59460. List the prime factors of a.\nAnswer: 2, 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/120 + 3*b**5\/40 + b**4\/4 + 3*b**3\/2 + b**2 + 4*b + 19. Let z(p) be the second derivative of c(p). Solve z(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (7 - 988\/65). Factor -1\/10*n**2 + f - 1\/10*n.\nAnswer: -(n - 1)*(n + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.869785 millennia to decades.\nAnswer: 386.9785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 33*s**2 - 27*s + 1. Let o(r) = 19*r**2 - 14*r. What is -3*k(q) + 5*o(q)?\nAnswer: -4*q**2 + 11*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 37*z = 168. Let p = -51 - z. Suppose p*l + 4*r = 5*r - 8000, 4*l + 6400 = -5*r. Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/7)\/((-99760)\/(-9632))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 + 2*z + 2. Let b be s(-3). Let y = b - 17. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9 + 2\/(-6). Let l = u + -2. Let y(x) = -x + 4. What is y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3898 less than -20.3?\nAnswer: 3877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-20)*(36\/21 - 1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895964449 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33986, 126136, 276452, 484940, 751606, 1076456, 1459496, 1900732?\nAnswer: 2400170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9) + 4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/424071110?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 37 - 3*f)*(f + 287*f**2 + 515509 - 515509) to the form u*f**2 + c + o*f**3 + i*f and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41283, 82569, 123855, 165141, 206427?\nAnswer: 247713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(175)*2)**2 - (-1 + sqrt(175)) - (2*sqrt(7)*-2 - (sqrt(700)*-4)**2).\nAnswer: 11901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1226.79397642 and 0.2.\nAnswer: -1226.59397642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*q + 7003 = 4*f + 1538, -q + 2*q + 2*f + 16 = 3 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*n + 40. Solve -s = -2*s - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*w = -15, -3*n + 4*w = -8*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-108))\/(-5))\/(1\/9)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 61*t + 264 - 36*t - 524.\nAnswer: -97*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**2 - 5 + 1 - 9*t**2 - t**2 to j + b*t + g*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 75072645?\nAnswer: -75072648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 64*w**2 - 392*w - 66. What is the hundreds digit of m(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642 times -22.715?\nAnswer: -105443.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - 3*y**4\/4 - 2*y**3 - 11*y**2\/2 + 6*y - 8. Give s(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 82*n - 1. Let d(v) = -165*v + 1. Determine 3*d(y) + 5*w(y).\nAnswer: -85*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.2. Let y = 0.3 + -0.34. Let g(w) = -w**2 - 245*w + 2025. Let f be g(8). Put f, l, -3\/7, y in descending order.\nAnswer: f, y, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + x**3 - 7*x + 0*x + 22*x to the form i*x**2 + q*x**3 + m + s*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 228 = -17*b. Suppose -2*i - 2*i - b = -f, 3*i - 78 = -f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u - 1. Let x(i) be the third derivative of i**4\/12 - 72*i**2 - 3*i. Give 2*f(l) + 4*x(l).\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (6 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + -120?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255067.\nAnswer: 379, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 9. Let s be f(-5). Suppose 0 = 5*t + s*b + 10, 2*t - 8 - 1 = b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312300 (base 4) to base 12.\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 6 - 8)*(5*i - 5 + 5) + 0*i - i + 3*i.\nAnswer: -163*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 + q**2 + 34*q**2 - 2*q**2 in the form l*q + r*q**2 + g and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b**2 + 4 - 5\/33*b**3 + 1\/66*b**4 + 15*b. Let w(c) be the first derivative of l(c). Factor w(i).\nAnswer: 2*i*(i - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 1186\/9. Suppose -3*v = 5 - 17. Suppose v*a = -4*a + 32. What is the closest to -2\/5 in 0.5, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 5 (c) -1 (d) 2\/23 (e) 671562\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - 2*a**2 - 2*a**2)*(-a - a + a) + (-a**2 + 2*a**2 - 2*a**2)*(-3*a - 2 + 2) to d*a + u + w*a**3 + k*a**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = -2*b - 145, 0 = b - 2*x + 50. What is the units digit of 922\/18 + b\/27 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 13 + 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -23*w + 20. List the prime factors of (-2)\/(-1)*(w - (-5 + 0)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 240553 = 258752. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31441 + 6757 = 5225*w - 3602 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1715 and -61\/490?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 1.7. Let a = y - 2.5. Let u = -150 + 147. What is the third biggest value in -0.4, a, 2, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 86 = 5*a - 59, -108*a - 5*y - 176 = 150*a + 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m + 43 - 1881*m**3 + 504*m**3 + 5 - 7 + 29 wrt m.\nAnswer: -8262*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2127368 (base 9) to base 11.\nAnswer: -709933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l - 30. Let i be v(-2). Solve 0 = 3*c - i*s - 2*s + 7, 0 = -2*s + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 13.88 (c) 8\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -15 (b) -5 (c) -57530\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10915 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -385 - -385. Find y, given that q*y**2 + 1\/3*y + 1\/6*y**4 - 1\/3*y**3 - 1\/6 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58941\/270)\/(-59) + -23 + 26?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-26))\/((-3)\/6). What is the smallest value in -2\/15, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -71\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/480 - 5*g**4\/192 + g**3\/8 + 9*g**2. Suppose p(t) = 0. Calculate t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97\/15 - 14\/3. Is h at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**2 + 1848186592*d + 213487104928035904 = 0.\nAnswer: -231023324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y - 24. Let u = -5 - y. Is ((-8)\/6)\/(u\/(-9)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2 = -2*s, -3*s - 4*y + 6*y - 9 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/(-21)*(-2)\/4. Let g = -27 - -46. What is the second derivative of 1439*t**2 - 1439*t**2 - 10*t - g*t**a wrt t?\nAnswer: -114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. What is the closest to 1\/3 in z, 5\/2, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(24\/11)\/z)\/z)\/z)**(-36) assuming z is positive.\nAnswer: z**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-6) + (153 + -161)*1\/(-12). Let q be (-9)\/(-14)*(-6)\/9. Let j = 0.06 + -2.06. Which is the nearest to 0? (a) i (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 52 = -5*m - 6, -m + 2 = 3*a. Let b(d) = m*d**2 + 3*d**3 + 11*d - 2*d**3 + 6 - 3 - 2*d**3. What is the units digit of b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37685, -75433, -113227, -151073, -188977, -226945, -264983?\nAnswer: -303097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376509 is divided by 2349.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 smaller than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + x + (-2*x - x + 4*x)*(0 - 5 + 3))*(33 - 2 - 10) + (2*x - 3 + 3)*(-2 - 5 + 6) + 2 - 2*x - 2.\nAnswer: -109*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 796432649 and 11974.\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.34, -5, 0.06, 2\/9 in ascending order.\nAnswer: -5, -1.34, 0.06, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -1015, -1167?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/(-20) - (7 + 1))\/((-119)\/5950).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/7 + (984\/(-7))\/(-6). What is the remainder when 46 is divided by 22 - a - (1 + -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*15*76\/(-57).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 1, u: 2, h: 4, f: 2, c: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11752 = 5*l, 20*l + 8814 = 3*n + 22*l. What is the remainder when 5879 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7*a - 5184. What is the greatest common divisor of a and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -64, -2\/231, 0 in descending order.\nAnswer: 1, 0, -2\/231, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 7050930?\nAnswer: -705093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 133?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -320 (c) -2 (d) -0.3 (e) -1.9 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 29*h - 10. Suppose 5*p = 10, 5*c - 165 = -h*p + 209. Suppose -2*b - c = -182. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 36. Let i = -3 + 8. Suppose i*y - x*y = -16. Solve y = -a - 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 + 10*f**3 + 5*f**2 - 6*f - 11*f**3 + 3*f**2 - 3. Let o be m(7). Solve 19 = o*i + 5*n, i + 10 = 5*i - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58567113 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mdsdmdmdmdm?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43746728 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2269608 - -0.227. What is g rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2. Let f(c) = -7*c + 8. Let g(d) = -f(d) + 4*y(d). Let r(u) = -u**2. Determine g(r(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 58. Let r = -6341\/15 + 423. Is w < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156216677 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.322 + -7.678. What is the closest to f in 31, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9131, 9000, 8775, 8450, 8019, 7476, 6815, 6030?\n\"Answer: -x**3 - 41*x**2 - x + 9174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2237, 2406, 2579, 2762, 2961, 3182, 3431, 3714?\n\"Answer: x**3 - 4*x**2 + 174*x + 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(170\/8))\/((-30)\/(-825))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105\/(-28) + 4 - (-15)\/4. Solve -y*a + 2*a + 8 = -4*c, -5*c + 3*a - 11 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a26b + -17b?\nAnswer: 6a0e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 6*d**2 - 2506*d + 30*d**3 - 4*d**2 + 2523*d wrt d?\nAnswer: 180*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/87875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 33*w**2 - 550*w - 3145. What is y(-25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 - x**2 + x**2)*(0*x - 5*x + 18*x) to b*x**3 + r + o*x + n*x**2 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from uueuueue.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17*v**2 - 14*v - 1. Let p(h) = 3*h**2 + 2*h + 3. What is 4*p(j) + z(j)?\nAnswer: -5*j**2 - 6*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2276376 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 - p - 39. Calculate c(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 37*n + 13. Let h(k) = k**2 - 19*k + 7. Let s(b) = 6*f(b) - 13*h(b). What is the remainder when s(11) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Let m = 0.3 + 2.2. Let q = 3 - m. Sort q, 1\/4, v.\nAnswer: v, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(1573) + -3 + 0)*-6*1)**2.\nAnswer: -57420*sqrt(13) + 1423269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1968\/600*5650\/226.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 117 (b) 0 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3446777 is divided by 1041.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:19 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjosddssdjsj. Give prob of picking 3 s and 1 o.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 2*d - 2. Let o(q) = 2*q + 18. Let s be o(-7). Suppose -6*g + 5*g + s = 0. Suppose -4*k = 5*l + 1 - 0, g*l + 5*k = -8. What is f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89026872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 15*f + 1. What is the remainder when 57 is divided by j(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049338707 to five decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 5*a + 2. Let o be j(-4). What is the third derivative of -16*i - o*i**2 + 9*i**3 - 9*i + 25*i wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201022 - -1?\nAnswer: -201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*y - 12*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105336, -109295, -115894, -125133, -137012, -151531?\n\"Answer: -1320*k**2 + k - 104017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)*k**(-1\/5))\/(k*k\/(k\/k**4*k)*k*k**(-6)*k) assuming k is positive.\nAnswer: k**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {x: 9, f: 5, d: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -j + 8, 4*j + 5 = -3. Calculate the least common multiple of 4 and (-8)\/s*(-19 - -64).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 851923, 851924, 851939, 851974, 852035, 852128, 852259, 852434?\n\"Answer: q**3 + q**2 - 9*q + 851930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -8. Let r be h\/8 - (-783)\/6 - -1. Suppose 2*p - p = r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(35) - sqrt(315)))\/sqrt(5) - (sqrt(21)\/sqrt(3)*-3 - (-2 + 1*sqrt(7) + sqrt(7))))**2.\nAnswer: -12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 13. Let c be k(5). Solve 3*t + 12 = -3*g - g, -2*t - c = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3.8, 0.4 in increasing order.\nAnswer: -3.8, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 22*y**3 - 19*y**3 + 9*y**3.\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4 + 16. Let f be (-1)\/((-3)\/((-45)\/x)). Suppose -8 = -f*y + 42. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 5*l + 8. Let i be v(-6). Let o = -47 + i. Which is the second biggest value? (a) o (b) 5 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4)\/(-41 + 1450\/35) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t**2 - 74*t. Let k(m) = -153*m**2 - 618*m + 1. Determine 2*k(i) - 17*q(i).\nAnswer: 17*i**2 + 22*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1, g: 1, l: 1}. What is prob of sequence ls?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.25261 nanometers to micrometers.\nAnswer: 0.02825261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -18794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15513 + -15504. Solve y*p + 72 = 18 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-30) + 24\/180*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a0895 (base 11) in base 15?\nAnswer: 94209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2086*h*j*s**2 - 4*h*j - 6*h + 1190*j + 8*s**2 wrt s.\nAnswer: 4172*h*j*s + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 1. Suppose -2*l - 2*c = 2 - 8, 0 = c + 2. Suppose -82*p = -87*p + l. Determine b(p).\nAnswer: 6","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 qqqvqvqqqqqvvqvqqqq.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -28 - (25 + -13 + -16)) + 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-184 - (15 + -7)) + -3. Does 28 divide (526 + s\/(-15))\/(2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 1 - 9*m**5 + 3*m**5 + 0 + m**5 + 0 + (-6*m + 0*m + 3*m)*(-3*m**4 + 7*m**4 + 3*m**4).\nAnswer: -24*m**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {o: 1, b: 4, e: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/10)\/((-2)\/(-52)). Determine o, given that o**2 - o**3 - 8*o - q*o + 21*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13020 and 5170242.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:09 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aac1 (base 15) to base 7.\nAnswer: -210325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (3 + 21549\/(-21)). Let m = -1019 + h. Factor -2*z**3 - 32\/7*z**2 - 4\/7 - m*z.\nAnswer: -2*(z + 1)**2*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(18\/12*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14200.77 months?\nAnswer: 118.33975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 15*g = 24. Suppose 39 = 3*z - g*q, -20 = -2*q - 3*q. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 67 + 2*d**4 - 460*d + 0*d**2 + 230*d + 231*d - 2*d**3 as l*d**3 + j*d + s*d**2 + p + z*d**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99815464 by -346.\nAnswer: 288484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 5. Let l be p(4). Let n be -24 - (8\/28)\/((-20)\/(-70)). Put n, l, 4 in increasing order.\nAnswer: n, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 - 3*r - 5. Let q(d) be the second derivative of d - 1\/12*d**4 - 21 - 1\/2*d**2 + 1\/6*d**3. Calculate -5*q(g) + z(g).\nAnswer: -g**3 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 489*l - 195*l + (4 + 1 - 3)*(-2*l + 2*l - l) as u*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147873484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 0, 291 in decreasing order.\nAnswer: 291, 110, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 606.503822 to zero dps.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(16)\/((sqrt(64)*2 - sqrt(64))\/sqrt(8)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 24\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbttttbbbitbjttb. Give prob of picking 2 b and 1 i.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 0.3, 198, 0.5?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -8. Suppose 2*c = -3*d + 17, -22 = -0*c - 2*c - 2*d. What is the lowest common multiple of c and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77172 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 1 = 0. Let g = 6 - 19\/3. What is the biggest value in -4, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -1.6. Let i = -0.18 + l. What is i rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -65*n + 2510. Does 51 divide w(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.7 - 4.7. Let d = -21.000012 + j. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 - -64. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 11 - 21. Let r = -68 + c. Let u = r - -84. What is the highest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*q**3*y**5 - 3*q**3 + 96*q**2*y**5 + 24*q**2 - q*y + 4*y wrt y?\nAnswer: 340*q**3*y**3 + 1920*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(8) - sqrt(32)*2)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - c + 177 = 0, -36*c + 224 = 5*y - 32*c. Solve y*s + 108 = 71*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416820 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:45 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**8\/11760 + w**7\/5880 + w**6\/630 - w**5\/210 + 33*w**3\/2 + 55*w**2. Let o(i) be the first derivative of l(i). Factor o(u).\nAnswer: -u*(u - 2)*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 14*a**2 + 33*a - 12. Let l be t(16). Suppose 29*z - 125 = l*z. Solve -4*x + z*g = x + 5, 0 = -x - g - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466*i - 6*i**2 + 2867*i - 1401*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*1\/28*(-21 - 1). Suppose -2*t = -t + 1. Which is greater: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:01 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 7. Let d(k) = 6*k - 74. Let h(a) = 5*a - 91. Let j(w) = -6*d(w) + 5*h(w). Calculate -5*j(y) + 8*o(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 55\/(-15))*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005147 to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 53. Suppose 3*m = -w*m + 25. Suppose 0 = 5*p + m, -4 + 19 = f - 4*p. Calculate the remainder when 54 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/4 - -4) + (-22)\/8. Let n = 207 - 2275\/11. Which is the nearest to p? (a) n (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/3 + 5\/(-15). Let s = f - -6. Suppose -14*k + 16*k = 28. What is the greatest common divisor of k and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2336156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 + 2*x - 22. Give m(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddiddiiddddid. What is prob of picking 1 i and 1 d?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Is d at most as big as -14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (-5 - (-5 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (3 + -17)) + (0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122\/579987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5202638 + 60206.0502638. Let w = 60205.58890283 - f. Let a = 0.0589 - w. Round a to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d22d - -c3?\nAnswer: d301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -670101 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(29*126\/(-189)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1 + 2)*13. Let p(r) be the second derivative of r**4\/6 - 4*r**3\/3 - 12*r**2 - 3*r - 8. Let y be p(k). Round y to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w*(w\/(w*(((w\/(w**5\/w*w*w*w*w*w)*w)\/w)\/w)\/w*w*w))\/w)\/((w\/w**(1\/6)*w)\/w*w**(4\/9)\/w) assuming w is positive.\nAnswer: w**(283\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 5*j - 3. Let o be a(4). Let b = -234 + 361. Suppose d = -o, 2*d + b = 5*w - 115. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l**4 - 4*l**3 + 117*l**2 + 2*l - 3146. Let h(g) = -6*g**4 + g**3 - g - 3. Let c(s) = -3*h(s) - t(s). What is the second derivative of c(o) wrt o?\nAnswer: -36*o**2 + 6*o - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 times -0.985\nAnswer: -0.10047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -34, 3, -1092 in increasing order.\nAnswer: -1092, -34, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8556 and 2599.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/(3\/(-9)). Let c be (1\/(-3))\/((-108)\/648). Suppose -5*i + m = 14, 10*i - m - c = 13*i. Sort i, j, 1, 2.\nAnswer: j, i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(4 + -6 + 0). Let o = 2.97 - -0.03. What is the nearest to -1 in o, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 528, 791, 1054, 1317?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7, -9, -4, -5 in decreasing order.\nAnswer: 11, -4, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -65 - (261 + -213 + (-71 - -13))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1475274130 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-110)\/(-8). Let m = i - -13. What is the third biggest value in -3, m, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) -0.4 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50844688?\nAnswer: 2, 17, 107, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 - m. Let w(r) = -r + 12. Let v be w(0). Suppose 6 = -2*c + v. Let n(h) = -2*h**3 - 4*h**2 + 2*h. Determine c*d(p) + 2*n(p).\nAnswer: -p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:45 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -479*u + 478*u. Let x(y) = 19*y - 20*y + 1 - 2 - u - 16*y. What is x(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -57*d**5\/20 + d**3\/6 + d**2\/2 - 4*d. Let s be i(-1). Let o = -35 + s. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-7)))*l**(-2\/7)\/l*l*(l*l**1*l)**(-2\/3))\/((l**(-4)\/l*l*l**(-3\/8)*l*l*l)\/(l**1)**(1\/5)) assuming l is positive.\nAnswer: l**(2041\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-2)\/(28\/(-26) - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209408 is divided by 1940?\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and 125\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400549.1l to millilitres.\nAnswer: 400549100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200466)\/294335 - 15\/(-25)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + c + 1, 3*n = 2*n - c - 1. Suppose -11 = -2*x + p - 1, 4*p - 16 = n. What is the remainder when 186 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 801541726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 0.82.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5194 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -5*m - 3*r, m + 4*r = 5*m - 76. Solve -5*h - 3*c - 12 = 2, -4*c = -4*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -108?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 - 18 = q, -4*n = -4*q + 16. Suppose q = 2*z + 3*f + 68 - 508, -866 = -4*z + f. 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 36322.\nAnswer: 2, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-4)\/(-8) - 1). What is the second derivative of 0*n - 9*n**3 - 4*n - 3*n**2 + 3*n**o wrt n?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6977, -6831, -6683, -6533, -6381, -6227, -6071?\n\"Answer: x**2 + 143*x - 7121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 5. Give r(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 168.23. Let m = b + -0.23. What is the closest to 0 in -2, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258 + 136*l**2 + 87*l**2 + 2*l - 258 + 518 to the form m + o*l**2 + c*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/3, -3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8288303?\nAnswer: 23, 89, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151232837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Put together 0.6 and 0.022.\nAnswer: 0.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.5 * 118424.\nAnswer: 2546116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**2 - 29*t + 106. Let y = -695 - -699. Calculate the remainder when o(y) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - 1274\/(-208).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12767 and -37.83.\nAnswer: 482975.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(117)*-1 + -5 + (1 + sqrt(117))**2.\nAnswer: 3*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5 - 2*m + 5. Let x be p(-6). What is the lowest common multiple of 1\/2 - x\/(-8) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/6*(-3)\/(-7)*-2. Let f be ((-45)\/20)\/(3 - 13\/a). Which is greater: 8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -0.398\nAnswer: 1.3134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y + 2. Let r be n(1). Let w(u) = -2*u + 14. What is the units digit of w(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 88. Let x be (-38)\/a + (-2)\/(-7) + 11. Let r(s) = 3*s + 10. Calculate the remainder when r(x) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 - 85. What is the hundreds digit of c*(-1 - -5)\/20*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12364 divided by 22.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419509679?\nAnswer: 29, 14465851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941437829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -28 (b) 4 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 725534\/3 - 241836. Let 2\/3*l**3 + 20\/3 - y*l + 4\/3*l**2 = 0. What is l?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 617 + 2.4\nAnswer: 619.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8078707us to minutes.\nAnswer: 0.000000046797845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 2, 3 in ascending order.\nAnswer: -136, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38088 + 0.08088. What is the biggest value in s, -4, -372\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-665)\/(-247) + 11\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9 - 2\/((-198)\/(-75)). Let d = -7 - -5. Let a = 2.5 + d. Put a, -1\/6, c in ascending order.\nAnswer: -1\/6, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2392005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 5*a + 5 = 0, 0 = 2*f - 140*a + 135*a - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -20. Suppose -10*l + r*l + 20 = 0. Suppose -l*z = -92 - 116. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 10*s**2 + 2*s + 6. Let n be ((-45)\/(-6))\/(1\/2). Let p be (2\/3 + 0)*n. What is the units digit of u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/595 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 1.4. Sort -2\/7, -5\/4, w.\nAnswer: -5\/4, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 - 6*u - 7. Let s be l(6). Let q(w) = 2*w**2 + 8*w - 2. List the prime factors of q(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1724132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 105*w**3 - 527*w**3 - 3 + 11*w.\nAnswer: -632*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 + 516. Let r = q + -74. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 425 and -0.0950170090765?\nAnswer: 425.0950170090765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -1 - 17. Does 6 divide -1*(1 + d) - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1545*x**2 - 2131*x**2 - 17419*x**2 as w*x + s + a*x**2 and give a.\nAnswer: -21095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 154*l + 1993. What is w(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 1 + 3*z - 2 - 7*z**3 wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159589994368 less than -12?\nAnswer: 159589994356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 39*s + 76. Suppose q + 46 = 2*q - 5*i, -3*q + 66 = 3*i. Let t be l(q). Is 1\/(2 - (-522)\/t) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -36*l**3 + 66*l**2 + 10*l - 1. Let w(m) = -m**3 + 6*m**2 + m. Determine -2*b(k) + 22*w(k).\nAnswer: 50*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 6. Give y(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 6044946.\nAnswer: 30224730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:54 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*w - 4133, -5*q + 5927 = -4*w - 4488. What is the remainder when q is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (4 - (10 + -1)). Suppose 3*w - 1837 = -s*m + w, -3*m - 5*w + 1087 = 0. Suppose 3*c + 548 = 4*k, 0 = -2*k + 5*c + m - 81. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/(501\/165 - 3). Suppose -u - d = -24. Solve -2*l + 10 - u = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 18128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/162*4\/(-7)*(-7)\/28.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o - 218*o**3 + 257*o**3 - 352*o**3 - 655*o**3.\nAnswer: -968*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/24 - k**5\/12 + 5*k**4\/3 + 10*k**3 + 40*k**2. Suppose s(d) = 0. What is d?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*z = 4, 4*z - z - 1 = -r. Suppose j + r - 3 = 0. Find the second derivative of -a - 6*a**j + 4*a**2 + 3*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6606016 and -0.6.\nAnswer: -0.39636096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvn when three letters picked without replacement from vnvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 230*i - 2645.\nAnswer: -5*(i - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 6805?\nAnswer: -6801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.95797 litres?\nAnswer: 47957.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1)\/2*-23. Let s = -14 - -10. Let l = s - v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*sqrt(77)*2)\/(6*(sqrt(112) + sqrt(7))).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 15) in base 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45217 - -45240.007. Let b = 0.007 - w. Let t = -22.986 - b. Round t to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10735.6104ns to days.\nAnswer: 0.00000000012425475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 40998 = -2*g, -21217 + 103209 = 4*s - 2*g. Suppose 3*a - 8*a = 3*t - 34180, 3*a - s = -4*t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13231, 1\/5, -1 in decreasing order.\nAnswer: 1\/5, -1, -13231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14855?\nAnswer: 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 23*a**2 - 10245*a + 30534. Calculate n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 5*s + 5*s - s - 14. Let n be x(7). Suppose 3*h + 5*q + 19 - 256 = n, -q = h - 77. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68)\/(-44) + -1 + (-204176)\/2772. Is d <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11289 and 26338827?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-21))\/((-2)\/30). Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 163?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 1.98. Let p(f) = -2*f + 27. Let q be p(11). Suppose -y = -4*j + 1, y = -q*j + 2 - 12. Which is the second biggest value? (a) 0.5 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/(8\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 421*c - 419*c = 52, 101 = 2*d + c. What is the highest common factor of d and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**3\/3 + s**2 - 4*s + 6. Determine x, given that c(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 + 88412*s**3\/3 - 217021934*s**2 - 1593521724*s + 3258571815 = 0 for s.\nAnswer: -9, 5\/3, 14739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -199.723\nAnswer: 17.97507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - t - 2 = 0, 2*f + 3*t + 6 = -f. Suppose 5*p - 190 = -f*p. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxg when three letters picked without replacement from jxxjrgjxgxxgrrrrxjg?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/1900)\/(228\/15). Let o = -23469\/2888 - a. Find the common denominator of ((-183)\/60)\/(12\/(-10)) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782196937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -43, 22341?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 15*t**2 + 25*t - 12. Give o(12).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Suppose 0 = -i*o - k + 7, 0 = -o + 2*k - 3 - 0. Let q = o + -1. Solve -4*y + y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**3 + 2*w**2 + 20140 - 20069 - 2*w**3 - 6*w**4 + 0*w**2 wrt w.\nAnswer: -144*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8635 divided by 11.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + (-5 - (-975)\/39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27467 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10403 = 3*r - 3*o - 1975, -r + 4128 = o. Suppose -3873 = -4*c + r. Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879.56 - -24503140?\nAnswer: 24500260.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.589929 millilitres in litres?\nAnswer: 0.008589929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 17 = 2*g + 5, -5*g - 4*j - 4 = 0. Let v be -2*g\/((-24)\/(-171)). Suppose -23*i = -20*i - v. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24700000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38823 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 2*h - 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 11*y + 0 + 0*y**4 + 1\/21*y**3 + 0*y**2 + 0*y**6 + 1\/147*y**7 - 1\/35*y**5. Let p(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (462\/(-44))\/((-3)\/2). Calculate the highest common divisor of k and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*c + 99 + 92, w = 4*c - 51. Let x = 52 + w. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 5*h + 149 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1213 times 9\nAnswer: -10917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - 6. Let x(a) be the third derivative of -11\/6*a**3 + 0*a + 3\/20*a**5 + a**2 - 25 + 0*a**4. What is -11*o(r) + 6*x(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 + 5 + 7*n - 34*n**2 + 19*n**2. What is r(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 651\/77 + -9 + 16\/(1584\/945)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 687.72966945.\nAnswer: 687.92966945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -9. Let j = -6 + 13. Let z(m) = 0*m**2 + j*m - 2*m**2 + 3*m**2 + 8. Calculate z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066*p - 6572 = -1128*p. What is the remainder when p is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63390202.\nAnswer: 2, 31695101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3523 - -1160?\nAnswer: -2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1887*a*o + a - 571 with respect to o.\nAnswer: -1887*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 + (0 - 2). Suppose -4*c - 12 - 6 = x, -5*c - 5*x - 15 = d. Let g(r) be the third derivative of r**5\/60 + 7*r**4\/24 + 2*r**3\/3 - 11*r**2. Give g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -111. Factor -1\/6*c**3 + 0 + 1\/6*c + o*c**2.\nAnswer: -c*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 - s**2)*(2*s + 0 + 0) - 5*s**3 - 3*s**3 + 7*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*s + 107*s. Suppose -2*w = 3*w - 520. Suppose s*n = -4*n + w. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 10*f**2 + 3. Let s be l(-10). Solve -3*c = -s, -2*b = -6*b + 3*c + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326413603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(832) + sqrt(832))**2 + sqrt(832) + -4 + 4.\nAnswer: 8*sqrt(13) + 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6272*y + 1044*y + 35496 = -593680 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -294, -1\/4, 17\/3, -1, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3060 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -25. Suppose 7 - 1 = l. What is the smallest common multiple of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 2. Let z(k) be the third derivative of k**5 + 25*k**3\/6 - 38*k**2. Calculate -25*y(m) + 2*z(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + u**2 + u**2 + (4 + 1 - 4)*(3 - 3 - 1)*(-56*u - 21*u**2 + 56*u) to the form w*u + d*u**2 + t and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15961725 and 10658.\nAnswer: -15951067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31771836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10521 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/17)\/d**(-24))\/(d**(22\/5)*d**0))**37 assuming d is positive.\nAnswer: d**(61827\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + 3*2*sqrt(11)).\nAnswer: -15 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/21)*r*r**7\/r)\/(r**(3\/10)*r\/((r**(-2\/5)\/r)\/r*r)))**(-42) assuming r is positive.\nAnswer: r**(-923\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4086 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + q - 1, -7*f + 5 = -2*f + 2*q. Which is the nearest to -3? (a) -5 (b) -2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r**2 + 57 - 23 - 37. Let m(d) = -35*d**2 + 5. Let h(j) = 3*m(j) + 5*t(j). Let z(v) = 2*v. Determine z(h(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*r - 2*r + 37 = 0, 4*r + 8 = -4*h. Let m(v) = -5*v**3 + v**2 + 3*v + 1. Let s be m(-2). Let j be 501\/s - (-2)\/13. Solve 5*i + h = j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -2351?\nAnswer: -2357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(1\/24)*y**(-4\/7)*y**(-5))**(6\/19) assuming y is positive.\nAnswer: y**(-929\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1846 and 78.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/5 + 4 + 9\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 47 = 11. Suppose -3*i + 9 = -p. Find the third derivative of 0*h**6 - 2*h**i - h**2 + 2*h**2 + 0*h**6 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-17) + (19 - 16).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 226*k**2 - 35*k - 71. Calculate the remainder when t(-2) is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 + 52. Let h be j(-12). What is the highest common divisor of 140 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {z: 1, k: 1, y: 4, w: 5, i: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66a3b9 + -7?\nAnswer: -66a3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67550 equal to 67531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n + 3*l - 35, l = -5*n + 25. Calculate the greatest common factor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/14945 and 151\/6584340.\nAnswer: 46090380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnl when three letters picked without replacement from {n: 12, l: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 73497856.\nAnswer: 36748928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -137, 5, 1.\nAnswer: -137, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 4*c + 67, 0 = 4*c - 4. Let a = 3 + -5\/2. Let z = 1.5 - -3.5. What is the second smallest value in z, 1, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351851497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.45. Let d = -0.3 - f. Let p = -10 - -9.6. Which is the nearest to -2\/3? (a) d (b) p (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6012 - -6171. Solve -25*i = p - 34 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 680.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(234) - sqrt(234)) + sqrt(26))\/(sqrt(2) + sqrt(2) + sqrt(98)*6 - sqrt(2)).\nAnswer: 4*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/39 - -8)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6)**(1\/3))**24 assuming c is positive.\nAnswer: c**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1166)\/(-10) - (-2)\/5. Let g be ((-2)\/(-3))\/(2\/(-6)) + 6. Suppose -g*n = -n - l. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/736 and -27\/1432.\nAnswer: 131744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13755*p. Let x(f) = 2*f. Determine x(w(c)).\nAnswer: -27510*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21459*f = -21460*f + 3. Let r be (2\/36)\/((-1)\/4). Which is the second smallest value? (a) f (b) r (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**7\/14 - 17*g**4\/6 + 34*g**2 - 59. Let c(t) be the second derivative of s(t). What is the second derivative of c(d) wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 32, 47, 60?\n\"Answer: -m**2 + 20*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -236164.22 to the nearest one thousand.\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -5*j**3\/6 - 106*j + 2. Let l(c) = 23*c + 1. Determine x(l(y)).\nAnswer: -115*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61926 + 729*w + 61926)*(22*w**3 - 16*w**3 + 13*w**3) to the form l*w**3 + u*w**2 + p + i*w + s*w**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3128 by -391.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Suppose -s*l + 49 = q, -210 = -2*q - 2*q - 2*l. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - (-10)\/(-36). Suppose -6 = 3*v + 3, 2*j + 14 = -4*v. Which is the nearest to -0.1? (a) j (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-14))\/(((-600)\/350)\/6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + g + 1)*(-3 - g + 3) + 10*g**2 + 23*g**2 + 6*g**2 to the form j*g**2 + t + k*g and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2119 is divided by 422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*h - 1539. Let c be (h\/270 - (-4)\/30)*-30. Calculate the highest common divisor of 135 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.9 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:49 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-6 + -4*4527) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 + 0.0675.\nAnswer: -0.3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-72) - (-162368)\/(-36). Let y = -2293 - i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -55. Find b such that -4\/7*b + 0 - 2\/7*b**5 + 2\/7*b**z + 6\/7*b**3 - 2\/7*b**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, -11, -1 in decreasing order.\nAnswer: 30, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, 20\/161 in ascending order.\nAnswer: -5, 20\/161, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 18230 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250 and 76?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*u + 464*u - 634*u = 181071 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -28*r. Let a(z) = 153*z. Let x(m) = 5*a(m) + 27*i(m). Let d(k) = -5*k**2. Calculate x(d(u)).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*h = 4, -4*n + 5*h - 7*h = -8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 10*h**2 + 11*h - 13. Let w(m) = -11*m**3 - 2*m**2 + 8*m - 6. Let g be w(1). Give x(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49037450 a multiple of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 691420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/19349 and -38\/121.\nAnswer: 212839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-116)\/(-12) + (-1)\/(-3). Let s(d) = 2*d - 4. Let t be s(p). Let u(f) = 10*f. Let z(l) = 3*l. What is t*z(a) - 5*u(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/(-20)*4\/3*-2. Let p = -28 - -28. Solve p = 3*n + s, -3*c - 3*n - 18 = -6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 1500245.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:27 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -393, -399, -409, -423, -441, -463, -489?\n\"Answer: -2*l**2 - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let a(u) = -7*u + 5. Suppose 1 = -2*n - 1. Let m(c) = n*a(c) - 5*d(c). Let y(w) be the first derivative of -2*w**2 + 10. Calculate m(y(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493384343\/1050 - -469890. What is the common denominator of u and 19\/22?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmppppp. What is prob of sequence pmp?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 14*d - 16 = 0. What is d?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -456590 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1351 at most -10807\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5433 + -2?\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 3*k**5\/20 + k**4\/2 - 7*k**3 + 128*k**2. What is the hundreds digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 14*y - 39. Suppose -14*z + 55 = -85. Let f be v(z). Solve -3*t = m + 9, -2*m + 23 = -4*t + f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14431*x**2 - 4809*x**2 - 3*x - 4808*x**2 + 3*x - 4810*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113 - -109) + (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 310 + -189. Suppose 0 = -0*r - 3*r + 33. What is the greatest common divisor of r and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 8*i - 4. Let y be a(6). Let m be 6\/y*(-5)\/(-6). Let q = -11.97 - -3.97. Is m less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 + 436 + 52)*(-i**2 + i - i - i).\nAnswer: -691*i**2 - 691*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = c + 4*a, -35*c - 3*a = -39*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 36. Let t be (-338)\/(-18) - (-8)\/z. Which is smaller: t or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3 + 13\/4). Let l be 69\/312 - (-2)\/13. Is r greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162490078 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 17, -51, -103, -115?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/2 + 9469*x**4 - 45076107*x**3 + 2317416100*x**2 + 9540196799*x\/2 + 2407596723 = 0. Calculate x.\nAnswer: -1, 54, 9443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 3. Let i(w) = -42*w**2. Determine q(i(a)).\nAnswer: 1764*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 4:29 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 3*s + 2. Let b be y(2). Let c be (-4)\/(-7) + (-9345)\/16345. Let f = c - -12143\/3269. Do b and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.18682 times 2152\nAnswer: 2554.03664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42415 - -30?\nAnswer: -42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 784789 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -143, -260, -397, -560?\n\"Answer: -p**3 - p**2 - 93*p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69058379729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6 = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*s**3 + 56*s**2 - 42*s + 4.\nAnswer: -2*(s - 2)*(s - 1)*(9*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/2)\/g**(-1\/4)*g**(-4)*g*g\/(g\/(g*((g\/(g\/(g\/(g*g**8)))*g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1465081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -18*t. Let r(o) = o. Let c(m) = b(m) + 27*r(m). Let g(n) be the third derivative of 13*n**4\/24 - 8*n**2 + 20*n + 2. Determine g(c(k)).\nAnswer: 117*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 221608*n + 221611*n + 3.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 15. Let v be k(5). Sort 13, v, 4\/5 in increasing order.\nAnswer: v, 4\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271089 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 132064 divided by 66032\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - ((sqrt(187) + (sqrt(187) - ((sqrt(187) - 4*-2*sqrt(187)) + sqrt(187) + sqrt(187))) - sqrt(187)) + sqrt(187)))\/(sqrt(33)\/sqrt(75)))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3*h + 1. Let f be (-10)\/15 - (-19)\/(-3). Let x(j) = -8*j**2 + j**2 - 45 + 6*j + 9*j**2 + 43. What is f*q(t) - 4*x(t)?\nAnswer: -t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 1. Let u(y) be the third derivative of y**5\/30 + y**4\/12 - 3*y**2. Let i be u(-2). Suppose n - 1 = -i*n + 3*h, 4*n + 14 = -5*h. Calculate a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394812269 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 15*r**6\/2 + 151*r**5 - 2735*r**4\/4 + 1075*r**3 - 745*r**2 + 200*r + 1963. What is t in n(t) = 0?\nAnswer: -20, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49269447 divided by -137.\nAnswer: 359631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56741, -56719, -56695, -56669?\n\"Answer: u**2 + 19*u - 56761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n + 198. Suppose -2*c - 2*k + n = 0, 3*k - 14 = c - 55. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 + 6. What are the prime factors of (4\/t)\/((-3)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54a68c - -b?\nAnswer: 54a697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907 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: Total of -102.7 and -169.26318.\nAnswer: -271.96318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x\/(x*x*(x**(-5\/3)*x)\/x)*x)\/x)*x*x\/(x*x**(3\/5))*x)**(15\/11) assuming x is positive.\nAnswer: x**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i - 3. Let a be c(-3). Suppose 3*m = 3*z + 9, -3*m + m - 3*z + a = 0. Solve -5*l - 22 = 5*h - 4*h, 3*h = -m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/690 and -93\/20.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 (base 8) in base 5?\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 13542?\nAnswer: 40626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*i + 11 + 3, -5*k = i + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 337*o - 9051. Give h(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s - 38415082 + 38413997 = 0 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9043.782ug in milligrams?\nAnswer: 9.043782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1192809 to four decimal places.\nAnswer: -0.1193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 11\/(-3). What is the remainder when ((-256)\/(-16))\/((-3)\/(-9)) is divided by ((-68)\/(-6))\/(d\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 1965 = 73*b + b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.9128 - 0.4\nAnswer: 0.5128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-143)*88\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45643 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Solve 2 = -k*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/19)*f*f**(-18)\/f*f\/(f\/(f*f**(-4\/11)*f))*f*f\/f**18 assuming f is positive.\nAnswer: f**(-6698\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -6528.\nAnswer: 6528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 o when three letters picked without replacement from {j: 3, q: 2, u: 3, o: 5, x: 1, i: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.0979 times 5196\nAnswer: 5704.6884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*p - 3*q, -2*p + 753*q = 751*q - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/70 - (-1956)\/(-693) - -2. Let m = g - -101\/33. Factor -m*u - 2\/3*u**2 - 2.\nAnswer: -2*(u + 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**4)**(-26)\/(r**(3\/11)\/r*r*r\/((r**(-5)*r*r)\/r)*r))**(-2\/95))**(-40\/9) assuming r is positive.\nAnswer: r**(-19408\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112002100 + -222?\nAnswer: -112010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 416\/39*-3*1. Let n = 34 + i. Find the third derivative of o**6 - 18*o + 17*o**n + 18*o wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238932 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mysbsysmymmm. What is prob of picking 2 s and 1 m?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 757730513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.9 plus -4713.066346?\nAnswer: -4776.966346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161166?\nAnswer: 2, 3, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:43 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 771 - 374. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (159 - 156 - (2 - (0 - -9))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l + 1. Let s be x(-7). Let h = 2 + s. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.896354 * 0.13\nAnswer: -0.24652602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22 and -35\/14286?\nAnswer: 157146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x*x*x*x)\/x*x*x*x**(-13)*(((x**(-3\/8)\/x)\/x)\/x)\/((x*x*x\/(x**4\/x*x)*x*x)\/x) assuming x is positive.\nAnswer: x**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 24. Suppose v = -2*o + r, -2*o + 2*r = -o. What is the remainder when 19 is divided by 2\/(-16)*o*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - j**2 - 3*j**2)*(190 + 2338*j + 193 - 384).\nAnswer: 2338*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:04 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s + 0 + 2*s**2 + 0*s**3 - 1\/12*s**4. Give j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434 - 58296.\nAnswer: -58730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 773853.3 years in months?\nAnswer: 9286239.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + (31 - -72) - (-66 + -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-10) - (5 + (-32)\/5). Suppose -2*k + 8 = 4*b, -3*k + 3 = -3*b - 18. Suppose k*y - 3*y = 0. Put 5, z, y in descending order.\nAnswer: 5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffzfki. What is prob of picking 1 f and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 618 and -0.196.\nAnswer: -121.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23052 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 - 3*f - 3. Let k(r) = 3*r**3 - 8*r**2 + 8*r + 8. Give 3*k(q) + 8*y(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 0*x**2 + 2 + 3\/4*x**4 + 0*x - x**3. Solve c(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, -3, 49, -11, 5 in descending order.\nAnswer: 49, 5, -3, -5, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 396 = o, -3*o + 2*m = 1185. Let j = o - -395. Sort j, -2, -5 in increasing order.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155764663609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 2. Suppose 10 = -a*h - 26. List the prime factors of (1 - -1 - h) + -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1909986*r**3*u**2 + 2*r**3*u + 7*r**3 + 2*r**2*u**2 - 1341*r + u**2 - 492*u wrt u.\nAnswer: -3819972*r**3 + 4*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.155\nAnswer: -1.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26.025*-421.9\nAnswer: -10979.9475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 742111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**(2\/3))**(18\/11) assuming t is positive.\nAnswer: t**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42684, 42729, 42774, 42819, 42864, 42909?\n\"Answer: 45*h + 42639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/(-58) + 286\/4. Calculate the highest common factor of 6948 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(220) + sqrt(220) - sqrt(220) - sqrt(220))\/sqrt(4))\/((sqrt(55)*-4)\/sqrt(5)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -25464*l. Let g(d) = d**2 - 2*d. Determine v(g(x)).\nAnswer: -25464*x**2 + 50928*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10101101010?\nAnswer: -10101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133867218 divided by -4.\nAnswer: -66933609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03887 + 0.23887. Which is the biggest value? (a) h (b) -0.2 (c) -670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1478, -2152, -2826?\nAnswer: -3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20 (b) 0.17 (c) -0.3 (d) 0.8 (e) 6 (f) -1\/7 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvvvjzvvhhjzhvvh. What is prob of picking 1 v, 1 j, and 2 h?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2177 divided by -24\nAnswer: 2177\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u + 60. Let x be (6\/u)\/((-3)\/(-10)). What is the closest to x in -1, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(252)*-2)**2 - sqrt(252) - (-3*sqrt(252) + 2))*-6.\nAnswer: -151188 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 8*a**2 - 7*a - 4. Suppose -27*s + 26*s + 2*n - 2 = 0, 0 = -3*s + 3*n + 6. Calculate w(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/3 - (-2 + 2). Let i(a) = a + 1. Let o be i(-3). Is s smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*m + 52, 5*d - 84 = 7*m - 3*m. Let b be m\/2*(-7)\/28. Solve c - 4*l = -0*l + 7, -b*l - 9 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 7 + 15. Suppose i*m - 12 = 8*m. Suppose -4*u + 5*r + 80003 = 2*r, 4*r = -m*u + 79996. Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 101 = -2*f, 10*h - 2*h = 17*h - 9*h - 5*f - 25 for h.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = -32. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - (-4641354)\/3542. Let t = -1309 + g. Suppose -4*l + 1 = -3*l. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.2. Let k = c + 2.8. Let x be (-5 + 80\/15)*(-6)\/(-7). Sort -0.1, -2\/17, k, x in ascending order.\nAnswer: -2\/17, -0.1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -3\/2*r**2 + r + 1\/3*r**3 - 140. Suppose 5*c - 16 = c. What is d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(700)*3 - (-1 + sqrt(700) + -5) - (sqrt(280)\/(sqrt(30)\/sqrt(3) + sqrt(10)) + 1))**2.\nAnswer: -1640*sqrt(7) + 47168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 8*t - 9 + 0*t**2 + 2*t**2. Let b be g(-7). Let s = 17 + b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(4\/(-3))*14\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0, 0.8833 in increasing order.\nAnswer: 0, 2\/13, 0.8833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419.45 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 + -7. Let o = u - 0.2. Let y = 0 - -4. Put y, o, -2 in decreasing order.\nAnswer: y, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11061680 + 18346*t - 11061680 as g + k*t and give k.\nAnswer: 18346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53150 = -9*l + 3793. Is 4 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 18558 is divided by 18557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 - 8*i. Let z be w(-8). What is the tens digit of 129 + 0 + -3 + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 39. Let g = 32.00000038 - y. What is g rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/4 (b) -2 (c) 1\/5 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdce when four letters picked without replacement from {n: 2, d: 9, e: 2, f: 1, c: 3}.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9954 (b) -6.6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 5*n**2 - n - 5. Let w be y(3). Solve -3*x + w + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -199, -218, -237?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4355*b**2 + 1415*b**2 - 439*b**2 - 2289*b**2 to u*b + o*b**2 + w and give o.\nAnswer: -5668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/48)\/((-22)\/(-8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -908116, -908126, -908140, -908158?\nAnswer: -908180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 184224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304344 (base 6) to base 5.\nAnswer: 1234303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 - 2. Let q = o + 0.5. Let p = 0 + q. Which is bigger: 2\/3 or p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away 63.67724267?\nAnswer: -131.67724267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose v = f - 3*f + 24. Calculate the greatest common divisor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 109.\nAnswer: 212\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 5 (c) -4 (d) 703 (e) -5170\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1055*y - 46121. Determine m(42).\nAnswer: -1811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.12488?\nAnswer: -0.74928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.1, -3\/7, -28\/9, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603551 and 3146112.\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*z - 5*z**2 - 356*z + 1411*z - 338*z - 368*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213bb2 (base 14) to base 7.\nAnswer: -12362512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -20494.\nAnswer: 3\/20494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2. Let y(f) = -4*f**3 - 7*f**2 - 12*f + 1. Let h(q) = y(q) - 5*z(q). Determine h(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27552)\/5740*2\/(-12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14540510 a multiple of 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573175 is divided by 114?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6799698073 to the nearest integer?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 13*g + 28*g - 13*g)*(4 - 4 - 2*g**4 + (-1 + 3 - 3)*(2*g**4 + 0*g**4 + 0*g**4) - 34*g**4 + 3*g**4 + 6*g**4).\nAnswer: -58*g**5 + 377*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(44)\/sqrt(4)) + sqrt(3)*2*5 + sqrt(27) + -2 + sqrt(27)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: -60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.91kg?\nAnswer: 35910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72\/37 - -179\/111. Let r = -35 - -34. Which is the second smallest value? (a) r (b) y (c) 2\/13 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 17102300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*p - 1433*p = -2618 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9218744 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 86. Let j be u(-26). Suppose -j = 17*f + 168. Let z = 31 + f. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -456 or -434?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 + 2*h**3 + 2*h**3)*(3 - 2*h**2 - 3) - 69*h**5 - 6*h**5 - 4*h**5.\nAnswer: -75*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3644654 and -53\/1352.\nAnswer: 14578616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5754 + -4019. List the prime factors of c.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905060*w + 1905060*w + 37*w**2.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-160))\/((-2)\/((-10)\/7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(1088))**2 + sqrt(1088)).\nAnswer: -80*sqrt(17) + 2194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*t + 359*t + 11 - 11 + 8*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s - u, -2*s - 2 = -5*s + 2*u. Suppose 4*n - 36 = -4*q, s*n + 2*q - 16 = 3*q. Suppose 2*g - 66 = -g + 2*w, -4*g = n*w - 111. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i**2\/2 - 2*i - 22. Let w(l) = 6*l + 5. Suppose -3*y = 2*y + 25. Give y*s(t) - 2*w(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x. Let v(g) = 135*g**2. Determine v(p(i)).\nAnswer: 2160*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576001.7 centimeters to meters.\nAnswer: 5760.017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlnydw. Give prob of sequence wl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1042?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 38*p + 15*p + 6*w = 2*w - 228, 5*w = 2*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 552578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4329, 35135, 118653, 281241, 549257, 949059?\nAnswer: 1507005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmppmmppmpmpmm. Give prob of sequence mpmm.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 27907*s**2 + 293*s - 115?\nAnswer: 6*s + 55814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65 - 281*z - 350*z - 19 - 27 wrt z.\nAnswer: -631","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39509 rounded to 3 decimal places?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -612.8 + 613. What is the closest to -1 in 0.9, -0.5, q, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 119. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v - 14. Let w(c) = -1. Let t(p) = -10*w(p) + y(p). Suppose -21 = 5*d + 4*j - 2, -5*j = 5. Give t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 9*j - 337977 = 0. Round j to the nearest one hundred.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 369, 771, 1177, 1545, 1833, 1999, 2001?\n\"Answer: -7*i**3 + 44*i**2 + 319*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(91)*-2 - 6*(sqrt(91) + -1*sqrt(91)))\/(2*sqrt(28)\/sqrt(4) + -2*sqrt(567)).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-7) + (-10)\/(-14). Let y = 2 + -1. Is y at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 779, 1556, 2331, 3104, 3875, 4644, 5411?\n\"Answer: -v**2 + 780*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124889276*r**2 - 4 + 124889276*r**2 - 10*r**3 + r**4 to the form g*r**3 + a*r**2 + u*r + m*r**4 + w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59468\/11 + 5406. What is the second biggest value in l, 0.2, 0.038, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, t: 4, d: 3}. Give prob of sequence yd.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741493 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51695 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 31*p + 41. Let t(z) = -399*z - 532. Calculate 77*n(w) + 6*t(w).\nAnswer: -7*w - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5650 by 10.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -5fdeb?\nAnswer: -5fdf1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 178830 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.72 + 1.72. Let o = 125 + y. Let s = 35.5 - o. Put -1, s, -5 in increasing order.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0 - 1\/30*s**6 + 1\/30*s**5 + 3*s**2 + 0*s + 0*s**4 - 1\/35*s**7 + 0*s**3. Determine h so that i(h) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 941 - 970. What is the nearest to v in 3, 0, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 830210 and 5.\nAnswer: 830215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 14764 - 14866 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*a + 3802 = 6162 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170051, 680711, 1531811, 2723351, 4255331, 6127751?\nAnswer: 8340611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -27736\/189, -1, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, 0, -1, -27736\/189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*d - 30 + 8 = 23, 2*u - 5*d - 27 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*v**2 - 8*v**4 + 10*v**4 + 250*v**2 - 9 in the form k + z*v**3 + y*v + i*v**2 + j*v**4 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(v - v + v + (1 + 5 - 8)*(v + 0*v - 4*v)) in the form s*v + x and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 26 = 6*k. Suppose 5*y - k = -2*a, -5*a + 3*a + y + 7 = 0. Calculate the smallest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5 - 3*t**2 - 5 + t**2. Let j(h) = -3*h**2. What is j(y(d))?\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27380102 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/15 - 14*x**4\/3 + 32*x**3\/15 + 1328*x**2\/15 - 3616*x\/15 + 544\/3 = 0?\nAnswer: -5, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69313 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 244\/2 + 2. Suppose -t = -0*t - n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4431931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let a be (0\/2 + 0)\/1. Let y be (0\/3)\/(-3) + a. Let l(z) = -z + z - z + y. What is l(n(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*f - 606*f = -39071 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/150 + 2*o**5\/75 + o**4\/30 - 11*o**2. Factor m(g).\nAnswer: 4*g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24041 - -48041. Round q to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x - x)*(1614 - 629 - 541).\nAnswer: 444*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171894.\nAnswer: 2, 3, 28649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 163*g - 1783. What is k(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (-1 + -2 - (75 - 73))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1089\/605*(2 - (-2)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1631859*i - 2. Let n be t(-4). Suppose -6*p = -5*p - n. Suppose -3*r = -2*h - 22200012, 3*h + 26772586 = 5*r - p. Round h to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 27\/2*n**2 - 6 + 3*n**3 + 9\/2*n = 0?\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22004+2085.3\nAnswer: -19918.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c. Let o(q) = q**2 + 3*q - 9. Let m be o(-5). Let g(s) = -3*s**2 - 6*s + 11. Let v(l) = m*g(l) + 4*p(l). Let i = -192 + 200. Give v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 6) to base 15.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-251)\/(-28) + (657 + -45)\/(-68)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546001 is divided by 5411?\nAnswer: 4901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8923887 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1071675 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.4 (c) 0.38 (d) -3 (e) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -50, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(2448))**2 + 1.\nAnswer: 39165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12187 and 37.\nAnswer: 450919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 31*d - 15 = 28*d, 0 = 3*p + 2*d + 30. Let l(q) = -3*q**2 - 26*q - 2. What is l(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**12*l*l*l\/(l\/l**14)*l*l)\/(l**0)**28 assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -3\/4*b**3 + 19*b**2 - 1\/4*b**4 - 1\/40*b**5 + 0*b + 0. Determine k so that y(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49767110 by 9953422.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (396\/30)\/(5\/(-25)). Suppose -5*o = -5*d - 840, -3*o - o + 677 = -5*d. Let p = o + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 + 0*y**3)*(0*y + 2*y + 0*y) + (0*y - 12*y - 23*y)*(-85*y**3 + 117 - 117).\nAnswer: 2971*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -122728 divided by -23?\nAnswer: 5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 62. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.165? (a) -22 (b) 2\/5 (c) 15 (d) -2\/19 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 11*t + 7*t + (-3 - 4 + 4)*(2*t - 2*t - t) - 1 - t + 1 + (-t + 3*t - t)*(2 + 0 - 3) - 2*t - 5*t + 6*t + 0 - t + 0 in the form g + o*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5 - 106*t**4 - 3366*t**3 - 29192*t**2 - 60113*t + 92778 = 0.\nAnswer: -47, -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccczzzcscsc. Give prob of sequence scc.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 1. What is g(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*6\/(3 + -45). Suppose a + 2\/7*o - 2\/7*o**2 = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 2*p**2 + 0*p**2. Let s(t) = t**2 - 1. Let i = -7 + 10. Let c(a) = 6*a**2 - 7. Let d(l) = i*c(l) - 21*s(l). Give d(k(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0.5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x. Let t(r) = r**2 + r + 8. Does 4 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 17. Let w(l) = 13*l - 226. Calculate the smallest common multiple of w(18) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21.9 (b) -2\/45 (c) 1\/3 (d) 0.2 (e) -4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pgpnnpppnnppnnnnp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(2\/31))\/v)\/(v*v**(-4)*v*v*v))\/(v*v**(1\/5)\/v)**(1\/3) assuming v is positive.\nAnswer: v**(404\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 8 + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.5. Let m = -3.08 - -0.08. Let h = m + l. Which is the nearest to 2? (a) 5 (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/24848 and 95\/44133154.\nAnswer: 353065232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -186, -175, -150, -105, -34, 69, 210, 395?\n\"Answer: a**3 + a**2 + a - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.413*-4\nAnswer: -1.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*i + 2*i - i + 17*i**4 wrt i.\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 11 = 10*d - 4*u, 5*d - 25 = -5*u. Suppose -3*f + 1 + 20 = -2*i, f - 11 = 2*i. Solve f*l - 2*l = -d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/12 - 5*v**3\/3 - 7*v**2 - 7*v. Let t(f) = 10*f**2 - 2*f + 1. What is the remainder when m(13) is divided by t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (3 - -1) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, -0.4, 0.16, -1\/5, -2\/9, -13, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 43868.999?\nAnswer: 43868.999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 567 - 345 = 0. Calculate the remainder when 230 is divided by -70 + a + (-3)\/1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4518 - 29*w + 2227 + 2208.\nAnswer: -29*w - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 28 - 72. Suppose 0*n = -s - 3*n + 23, 3*n + 6 = 0. Let v(i) = i**2 - 28*i - 25. Let x be v(s). Calculate the greatest common divisor of x and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 477 = -3*r, 0*r + 630 = 4*z - r. Let s = z - 107. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 11 = 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/((-10)\/(-315)*9\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.1, -4.6, 3\/8, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 1, b: 1, r: 2, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2624, 2624, 2622, 2618, 2612, 2604?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001862056 rounded to 7 dps?\nAnswer: -0.0001862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*i**2 + 18*b**2*i - 64*b*i - 2*b + 193639*i**2 - 12*i wrt i?\nAnswer: -4*b**2 + 387278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.009.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -647, -1220, -1795, -2372?\n\"Answer: -u**2 - 568*u + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227952 is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -169*f**4\/14 - 754*f**3\/21 + 15*f**2 + 126*f + 549. Solve m(q) = 0 for q.\nAnswer: -21\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-3) + 8 + (0 - 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3691 (c) -1009 (d) -5 (e) 1 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11869959229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**8)**(-5\/7)*p\/(p\/p**(6\/13))*p\/p**(2\/77) assuming p is positive.\nAnswer: p**(-5713\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -415 + 427. Let a = 0.23 + -0.03. What is the third biggest value in f, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119317529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-15) - 304\/24 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62460 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62947328645 take away 0.027?\nAnswer: -62947328645.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 25*m - 3. Let a(f) = -f**2 + 13*f + 2. Let s(x) = 7*a(x) + 4*g(x). Let k = 10 + -4. Give s(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/60 + q**5\/60 - q**4\/24 - 2*q**2. Suppose -2*n + 5*n - 2*x + 7 = 0, 5*x - 24 = n. Give a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3568 divided by 892\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(112)*-5)\/sqrt(2) - sqrt(56)) + sqrt(56) + sqrt(56))\/(6*sqrt(2)*4)*-5)**2*-5.\nAnswer: -875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l + 13. Let f be b(-3). What is the greatest common divisor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645004 rounded to the nearest ten thousand?\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -8)\/(5\/(-5)). Solve -2*v + 4*d - n - 1 = 0, -5*d = -10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 519 + -292. Suppose -t - 2 = -3, 2*t = -3*q + i. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:04 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 3. Suppose -2*b - 14 = 4*m, -3*b + 5*m + 43 = 9. Suppose b*a - 185 = -34*a. Let r(g) = g - 1. Determine a*r(k) + s(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17158 times -6\nAnswer: -102948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s + 60. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 s when three letters picked without replacement from sswowwwosswpswsws?\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 2*i - 1 - 4*i. Let s = 223 - 222. Calculate p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/(-29) + 14 + -3 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:16 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.27 - 0.47. Let o = -8 + p. Let q = 0.13 + o. What is the smallest value in q, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180) + 0 + (sqrt(405) - sqrt(5)) + (sqrt(5) - (sqrt(5) - (-2 + sqrt(605)))))**2.\nAnswer: -52*sqrt(5) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 150*y**2 + 10*y + 601. Give m(-75).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:52 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**6\/360 - g**5\/24 + 5*g**3\/2 - 6*g. Let j(q) be the second derivative of o(q). Calculate j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 84 + 0*c + c**2 + c - 3*c.\nAnswer: c**2 - 2*c - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -4. Let c be 4 + (16 - 4)\/(-3). Sort -2, c, j in decreasing order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsiy when four letters picked without replacement from {i: 2, y: 2, s: 1, d: 6, t: 7}.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65) + 1*sqrt(65)))*3)\/(sqrt(5) - sqrt(60)\/sqrt(3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 799698671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -9. What is the closest to l in 3, -2\/3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 3, x: 1, w: 1, c: 1}. Give prob of picking 1 c, 1 x, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 282732 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = v. Let m = 13 - 13. Let p(g) = 3*g. Let a be p(-1). Sort v, m, a in decreasing order.\nAnswer: v, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.12ml in litres?\nAnswer: 0.14412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -484 - -469. Which is the closest to i? (a) 3\/2 (b) 1\/9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 184426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9410 = 10*k - 6*k + 5*z, -5*z = -k + 2365. What are the prime factors of k?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*-1*2*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:03 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19667885?\nAnswer: 5, 3933577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 - 20*k - 17. Let p be l(-8). What is the highest common factor of 24 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76820\/(-1012) + 432\/(-396).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11298*p**3 + 7. Let h(b) = -5649*b**3 - 3. What is 7*h(y) + 3*n(y)?\nAnswer: -5649*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5) - (-2290)\/(-600) and -103\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110110011010 (base 2) to base 6\nAnswer: -302534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(162) + -1)**2.\nAnswer: 270*sqrt(2) + 7295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from eyttmetyetttmtmtm.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/4, 32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13380*0.10966\nAnswer: -1467.2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 3. Let y(p) be the first derivative of p**2\/2 + p - 1. Suppose r + 3*d = -9, 2*d = -4*r + 3*d - 10. Calculate r*y(i) + o(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/4 + 1209*w**3\/4 + 6210*w**2 - 82713*w - 88620 = 0.\nAnswer: -28, -1, 10, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyoay. What is prob of sequence opy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/7 or -373000?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20926*u**4 - u**3 + 40755*u**2.\nAnswer: -502224*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 3. Let o be 16 + -2 + 9 + -11. What is the first derivative of 33*h**4 - 14*h**k + 2 - o*h**4 wrt h?\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 1. Let a be w(-2). Solve -4*s + 3*o = -25, -2*s + a*o + 12 + 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + h = -7712, 2*q + 5*h = 3131 - 30. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7698205 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10134*n**2 + 12*n + 5. Let h be b(2). Suppose 3*l - 3*m - 9973 = 30584, -3*l = -m - h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - 3*d)*(3 + 11 - 8)*(-1 - 2 + 1) + (d + 3 - 3)*(6 - 4 + 0).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + 15. Suppose 20*g + y - 817 = 0. What is the highest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3\/3194 (c) -0.5 (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167.999747 - -168. Round g to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 692954.325 milliseconds?\nAnswer: 0.0011457578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1985*(-8)\/(-10)*10\/20. Let d = c + 7921\/10. Find the common denominator of d and -5\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1124*k**3 - 2054*k**3 + 1210*k**3 + (0*k + 2*k - k)*(-2*k**2 + 0*k**2 + 4*k**2) - 2 + k**3 + 2.\nAnswer: 283*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-6)\/(-480)*-8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112.699 + -80609.\nAnswer: -80496.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/18*(-40)\/(-4))\/((580\/(-20))\/87).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -18. Suppose -r*z = -6*z - 40. Suppose 2*n + t - 178 = 4*t, -5*t + z = 0. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125401.7 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/7*207\/138\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25415 - 1156?\nAnswer: 24226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.346714 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 4*f**2 - 4*f**2 + 9*f - 6 - f**3. Let m(q) = 88*q + 81. Let y be m(-1). What is the remainder when 84 is divided by p(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775018648.\nAnswer: 2, 96877331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12.985455 months?\nAnswer: 1.08212125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 24?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 3730*k - 22430. Let f be p(6). Let d = 22 + -13. Let o be ((-33)\/d)\/((-2)\/48). What is the greatest common divisor of f and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39852863 is divided by 13284281.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 3\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 3\/2, -34, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115046 + -11?\nAnswer: -115057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 9. Let u = l - -40. What is the greatest common divisor of 225 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 52. What are the prime factors of n(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(176))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 1:51 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -66*t - 3*t**3 - 17*t**2 + 2*t**3 + 6 + 18 + t**2 + 8*t. Let h be q(-10). Let c = 11 - 6. Solve h*d - 2*b = 6, -d - b - 1 = c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -545*x + 21. Determine d(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + -1 + sqrt(5)*2)) + -4 - (-6*(sqrt(5) - -2*sqrt(5)) + -5))**2.\nAnswer: 64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 3. Let i be -3 + -2 - (-1 + 1). Let a(k) = 7*k + 5. Let h(r) = i*f(r) + 3*a(r). Let v(b) = 22*b. What is h(v(l))?\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 + 29*z + 28. Calculate s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29191275 and 8949150.\nAnswer: 1226033550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 - 47*v - 53. Let u(w) = -3*w**3 - 24*w - 29. Give -6*q(b) + 11*u(b).\nAnswer: 3*b**3 + 18*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 + 35*t\/2 - 75 = 0.\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143037 - 0?\nAnswer: 143037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/1879 or 1?\nAnswer: -18\/1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1.073, 4, -1\/4, 0.003?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352080.1 + 352073.400033. Let s = -6.7 - g. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3457.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/7*h**2 + 0 + 2*h**3 + 4\/7*h = 0. Calculate h.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0, -0.3, 0.1, -8588\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -18, -33, -52, -75, -102, -133?\n\"Answer: -2*r**2 - 5*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2524668 and -76\/6942837.\nAnswer: 27771348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515211, -515191, -515161, -515121, -515071?\nAnswer: -515011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 10 - (5 + 1 + 12 + 0 + -44)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let t be (u\/10)\/(-2 + 3). Let k = -283 - -279. Sort k, t, -0.2.\nAnswer: k, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y - 443434 = 151230. Is 259 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*g*t**4 - 138*g wrt t?\nAnswer: 648*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 172*v - 172*v + 6*v**2 - 21. Let y(f) = -f**2 + 3. What is -4*d(p) - 27*y(p)?\nAnswer: 3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + (1 - 24 - -33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3\/3667, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -0.02, -0.3, 5\/4 in decreasing order.\nAnswer: 5\/4, -0.02, -0.3, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**3 + 14*x**2 - 10*x + 2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -223043156, -223043154, -223043152, -223043150, -223043148?\n\"Answer: 2*g - 223043158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6*h - 2*h + 16, 5*r + 3*h = 17. Is 10 a factor of -1 - (r + -1 - 40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26391144?\nAnswer: 2, 3, 13, 251, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j + 4*z - 0*z, -5*j = 3*z - 7. Let o(b) = b**3 - 69*b**2 + 116*b + 1203. Let i be o(67). Sort -28, j, i in descending order.\nAnswer: j, i, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 2 - (2 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468*g + 15 + 41 = -1466*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*o**6 + 2*o**2 - 72 wrt o.\nAnswer: 18480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(-8)*4*12865\/(-465)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - (-11 + 7 + 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 - 16\/(-20)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(110\/(-55))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12288 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4071806*t + 8143611*t - 4071803*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 + -134. Let x = -145 - r. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -3 - (-10 + 4). Let u(o) = -1112*o - 4446. Let y be u(-4). Sort n, 18, y in decreasing order.\nAnswer: 18, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4854.6 - -4854.6021963. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -7 - ((6 - 0) + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 10*h**2 - 2*h + 11. Let k be b(10). Let z be (-6 + 8)*k\/(-6). Differentiate 64*p**2 - 82*p**2 - 9 + z wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244138279 divided by 77?\nAnswer: 3170627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Let h = u - -3. Let x = 51 + -50. Which is the closest to x? (a) 0 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4 - (4 - 1)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h + 0*h)*(1 + 5 - 5) - 7*h + 147 - 149 + h.\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -309*c. Let l be i(-4). Let u be ((-6)\/(-24))\/(3\/l). Suppose -n = -u - 28. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4)\/z)**(2\/95)\/((z\/z**2)\/(z\/z**(-2\/17))))**44 assuming z is positive.\nAnswer: z**(29722\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -d, 0*d = 4*i + d + 1. Let p(b) be the third derivative of -b**5\/60 - b**3\/6 - b**2. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 846830917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4 = -2*i, 706*i - 707*i - 7 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 7*o + 8. Let c be 60\/9 + 4\/(-6). Let s be n(c). What is the first derivative of -1 + b + 3*b**s - 2*b + b wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -32, -65, -114, -185, -284, -417?\n\"Answer: -l**3 + l**2 - 19*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**4 - 8\/3*m**3 + 4 + 2*m**2 - 4\/5*m**5 + 2\/15*m**6 - 4\/5*m. Find a, given that x(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20 + -6 - -3 - (-1)\/1. Solve -b*l - 9 = -15*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 0.5. Let s = 110 + -209. Let g be -3 + (-52)\/(-20) - s\/60. Put x, 2\/3, g in ascending order.\nAnswer: 2\/3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*z + 13 = -6*z, 0 = 5*q - 5*z - 25. Solve -x + q = 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) -0.0464 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 2\/3*n**4 + 3\/20*n**5 + 0 + 7*n**2 - 2\/3*n**3 + 0*n. Suppose h(i) = 0. What is i?\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -179*v**3 - 12*v**2 + 7*v + 6. Let w(c) = -c**3 + 2*c**2 - c - 1. Determine -6*w(b) - x(b).\nAnswer: 185*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13561, 27230, 40899, 54568?\n\"Answer: 13669*f - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 72720\/79200 + 6\/(-330)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 7*k**4\/12 - 2*k**3\/3 + 3*k**2\/2 + 5*k. Let o(v) = -15*v**2 + 8*v - 6. Let n(c) = -6*o(c) - 13*u(c). Calculate n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(2016) - sqrt(2016)*2) + sqrt(2016) + (sqrt(448)*-2)\/sqrt(8))\/((sqrt(72) + (sqrt(72) - -1*sqrt(72)))*-5))**2.\nAnswer: 28\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + i + 148 = 23*u, 11*u + 64 = -i + 7*u for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23269580*s - 11206641 wrt s?\nAnswer: 23269580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135883 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2532295243 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1411 + -162113?\nAnswer: -160402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1*2*-6 - (sqrt(80) - (sqrt(80) - ((sqrt(80) + 3 - sqrt(80)) + 3)))*1)**2*-6.\nAnswer: -69336 - 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and 2\/6996137 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w\/w**1)\/((w*w*w\/w**(-1\/4)*w)\/w)**(-19) assuming w is positive.\nAnswer: w**(227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8864 + -70811\/8. Suppose -5*d + 72 = -4*w + 376, -5*w - 55 = d. What is the common denominator of g and (-1074)\/d + (16\/10)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123436 is divided by 1691?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2021601 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1815)*-3)\/(-2*sqrt(243) + sqrt(3) + sqrt(3)))**2.\nAnswer: -33*sqrt(5)\/4 + 6469\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/485, 1\/11, -1\/4 in decreasing order.\nAnswer: 1\/11, -12\/485, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-2)\/7 + 2636\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 322*s**3 + 11*s**2 - 142*s - 5. Let f(m) = 161*m**3 + 6*m**2 - 71*m - 3. Let n(z) = 6*b(z) - 11*f(z). Find the second derivative of n(l) wrt l.\nAnswer: 966*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145*r - 483*r - 42*r)*(-3*r**3 + 2*r + 2*r**3 - 2*r**2 - 3*r) to c*r**4 + z*r**2 + s*r**3 + x + b*r and give s.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6755188*s + 5262512 wrt s.\nAnswer: 6755188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2. Let t(k) be the third derivative of k**5\/15 - 11*k**2. What is o(t(i))?\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -72. Solve 0 = -g + 2*d + t, -g + 5*d = 2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46219662 is divided by 1437?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4 - 2. Suppose c*o + 2*o + k + 14 = 0, 14 = -o + 5*k. Let q = -4 - o. Solve -4*h + 5*h - 4 = q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/220753815 and 55\/8.\nAnswer: 1766030520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19)*-2 + sqrt(19) - sqrt(19)) - (-5 + sqrt(114)\/sqrt(6)).\nAnswer: -3*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16062 (base 8) to base 12\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/249, -2, -379.7, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-12 - -21) + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 3*f**6\/20 - 101*f**5\/40 + 193*f**4\/24 - 119*f**3\/12 + 9*f**2\/2 + 251*f. Factor c(s).\nAnswer: (s - 9)*(s - 1)**2*(9*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 + 4980*t - 39968 = 0.\nAnswer: -2498, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.16232437 to 4 dps.\nAnswer: -13.1623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5537588?\nAnswer: 2, 7, 19, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14337102 and 21.\nAnswer: -301079142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -10 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 665*j + 248720. What is x(-374)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 5*o = 13*h - 2, 32 = -2*h - 5*o. Let g be (0*(5 - (-2 - h)))\/(-1). Solve -3*y - 3 - 6 = g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120047687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0 - 1\/12*y**4 + 0*y - 1\/3*y**3 - 1\/60*y**5 + 12*y**2 - 7\/60*y**6. Is t(-2) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2) + 4 + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 2, -5.\nAnswer: -8, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -107447.\nAnswer: 107446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -405474826?\nAnswer: -405474828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1367386 divided by 98\nAnswer: 683693\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 152*v + 162. Determine y(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -81875 divided by -49\nAnswer: 81875\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028476 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 4*p)*(2*p + 0*p - 3*p) + (-p + 4*p + 2*p)*(-4*p + 3*p + 3 + 4*p).\nAnswer: 19*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, f: 3}. What is prob of sequence mff?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faxlg. Give prob of sequence xf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 22*i - 26. Let m be u(18). Let w be 1 + 0 + (-4)\/(-2). Suppose -w*g - 1 = -m. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 281 from 6.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3581458 + -0.3?\nAnswer: 1.0581458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) - sqrt(17)*2*-6)**2 + (sqrt(68) + 1*sqrt(68) + sqrt(68))\/sqrt(4) + sqrt(1377) + 3 + 3.\nAnswer: 12*sqrt(17) + 2879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 9*m**2 - 9*m - 25. Let a be (-984)\/(-88) + (-2)\/11. Let k be f(a). Suppose -j + k = 4*p, -39 = -j - p + 64. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.582*-4\nAnswer: -26.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*x - 2*s, 2*x - 2*s = 51 + 79. Let a = 86 - x. Find the third derivative of 42 - 22*f**5 - 42 + a*f**2 wrt f.\nAnswer: -1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9628636 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1051 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x**3 + 0*x - 27*x**2 + 0 + 5\/24*x**4 + 1\/30*x**5 + 1\/105*x**7 - 1\/6*x**6. What is the third derivative of u(i) wrt i?\nAnswer: 48*i - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -12 - (9 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 20. Give r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*z + 4755 - 4755 + 709*z - 3249*z.\nAnswer: -2808*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccchccjchjhc. Give prob of sequence chjc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1604 and 66.\nAnswer: -10.5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrar when four letters picked without replacement from aaasrzaahrhiaraia.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s. Let p(f) = -3*f - 3*f + 5*f + 6*f. Calculate -3*i(o) + 2*p(o).\nAnswer: 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 43 - (19 - (12 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = -102 - 102. Let m be -2 + 1 + -2 - v. Suppose -m*j + 10*j + 92 = 0. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urrr when four letters picked without replacement from uurrruuurruu.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -11 - ((-5)\/(-3) - (-4550)\/(-210)) and 3888?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = 0. Suppose -3*a + 7*a = p. Suppose a = -3*f + 123 + 45. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154915780.0682 + -99\nAnswer: 154915681.0682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7979569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 5*p - 20, -5*j = -114*p - 137*p + 245*p + 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -14. Suppose -66 - 41 = -3*h + p, 0 = h - 4*p - 43. Let z = h - 30. Solve -z*d = -3*d + i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6*l = -18. Suppose l*h - h = 20. Solve -s = s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -5*i, -c - 11 = -2*c + 5*i. What is the units digit of 27\/18 - 394\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120210 - -33112?\nAnswer: 213322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*r - h**2*x - 24*h**2 - r*x + 250*x wrt x?\nAnswer: -h**2 - r + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -10 - -3 - (-5 - 4)) + -26\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 156*r**2 - 365*r + 363. What is m(1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1. Let i = 40 + -34. Let h be (i\/(-24))\/(-1 - -3). What is the smallest value in a, h, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/5, -89\/3, 2\/13 in increasing order.\nAnswer: -89\/3, -1\/2, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = 6*m - 37. Suppose u - m = r, 4*u + 2*r = -u + 532. Calculate the greatest common divisor of u and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802305055?\nAnswer: 3, 5, 11, 43, 394969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/170628 and 115\/168.\nAnswer: 2388792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2 - 2. Suppose l + 5*h + t = 228, 4*h = -5*l + 1161. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + b + (b - 1 + 1)*(1 + 4 - 3) + (b + b - 3*b)*(-3 - 1 + 2) + (2 - 2 - 1)*(4*b + 4*b + b) - 4*b + b + 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003507 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i - 74*i**2 - 2*i**3 + 26*i**2 + 2 + 68*i**2 + 3*i**3 + 26*i**2 to the form k*i + v*i**3 + a*i**2 + t and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/4 - 155*l**4\/4 - 5317*l**3\/4 - 6745*l**2\/4 + 149454*l = 0. What is l?\nAnswer: -19, 0, 9, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4 - 230*r**2 - 254*r**2 + 487*r**2 - 3*r. Let a(l) = 10*l**2 - 10*l - 12. Calculate 2*a(k) - 7*b(k).\nAnswer: -k**2 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - 4. Suppose 3*y - 6 = -4*i, 0 - 6 = j*i - 3*y. Suppose i = 2*a - 14 - 10. 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: Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/3243*-4439 + -49.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 35*o - 462 = 0. Suppose y + 2*y - 249 = i, 3*y + 5*i - o = 0. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186.36904 and 0.4.\nAnswer: -74.547616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -1*sqrt(275) + sqrt(275) - sqrt(275)).\nAnswer: -5*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/120 + r**4\/12 - 2*r**3 - 10*r**2. Let w(b) be the first derivative of d(b). Determine w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w - 2*g + 11, 3*g = -4*w + 6. Suppose 14*d + 132 = 17*d. Let q = -35 + d. Solve -w*b + 3 = q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 4. Let s be m(-2). Suppose -3*h - 4*p - 263 = 0, s*h + 2*p + 177 = -p. Let l = -30 - h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/7 + 864*p\/7 + 8440\/7 = 0. Calculate p.\nAnswer: -422, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2253, -2247, -2241, -2235?\n\"Answer: 6*a - 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*-5*(sqrt(65)\/(-1*sqrt(245)) + (-5*-1*sqrt(91))\/sqrt(7)).\nAnswer: 1360*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/20 - 3*v**2\/2 + 224*v. Let c(z) = 9*z**3 + 4*z**3 - 10 + 2*z**3 - 13*z**3. What is -2*c(w) + 7*m(w)?\nAnswer: 3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 11, 8, 1, -10, -25?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8675857 and -8449.5.\nAnswer: 8667407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243058476 divided by 1306766?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8*g + 507 = 0, -9*r = -15*r + 10*r - g - 84 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 143?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -77.8. Let s = 95.8 - o. Let a = -86.129 + s. Round a to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 2. Let p = -20 + 34. Suppose 0 = 4*n + 6 - p. Suppose 0 = -n*v + 4*v. What is c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 1 - 19*u + u**3 + 4*u**4 + 26*u - 6*u**4 + 0*u**2 to the form y + n*u**3 + p*u + k*u**2 + d*u**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54639.\nAnswer: 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/10)*f\/f**(1\/11)*(f*f**(2\/5)\/f)\/(f**8\/f) assuming f is positive.\nAnswer: f**(-637\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/8 + 2*n**3\/3 - n**2 - 3. Let u(g) be the second derivative of q(g). Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*56\/(-78) - -2. Let s = -4 - 0. Let j = 0.8 - -3.2. What is the nearest to -0.1 in j, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s + 23*s + 65 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 26418378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1673 * -0.49.\nAnswer: 819.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*u**3 + 11*d**3*u**2 - 208*d**3*u - 5*d**3 - 84*d**2*u**3 - 3*d**2*u**2 - 228*d**2*u wrt d?\nAnswer: 6*u**3 + 66*u**2 - 1248*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:58 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s + 8. Let v be -19*((-4)\/s - 2). Suppose -v = 3*c + 17. Which is bigger: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 130 = 3*o + 41, -5*o + 142 = -2*a. Is (26 - 31) + o*137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47127324 and 79209?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418632 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 2, r: 3, e: 2}. Give prob of picking 1 c and 3 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-559 + 101*u + 559).\nAnswer: 101*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8 + (-6900279)\/12. Let j be (g\/(-10))\/(4\/(-170)). Let a = 1643852 + j. Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3809433 months in decades?\nAnswer: 0.0031745275","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179441?\nAnswer: 179441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24041376 and 2003448?\nAnswer: 24041376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*u + 11 + 2 = 0, -3*h = -u - 14. Let f(t) = -t**3 + 5*t**2 - 2*t - 4. Give f(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -3*j**4\/8 - 4*j**3 + 1058*j**2. Calculate z(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 1814*n**2 - 26766*n - 107. What is t(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -55137*t - 2867118. Give c(-52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**7*i)\/i)*i)**48*(i*(i*i**(-1\/12))\/i)\/i**16 assuming i is positive.\nAnswer: i**(-3061\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (276 + 257 - 632)*(3*q**2 - 3*q**2 - 2*q**2 + (-2*q + 2 - 2)*(3*q - q + 0*q) + 18*q**2 + 0*q**2 + q**2) to f + s*q**2 + n*q and give s.\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**2 - 3*z**2 + 18*z**5 - 14*z**5 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3100 by 50.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 4072 = -4462 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*j**4 + 18*j**4 + 103*j**2 - 38*j**2 + 13*j**2 wrt j?\nAnswer: 1104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 92, 115, 154, 215, 304?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22873313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(1\/6). Let y = 47310 - 47290. Solve -k*d + 9*d = y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8\/(m*m**(-13)*m*m))\/(m**(2\/31)\/(m*m*m\/(m**(-15)\/m*m))))**7 assuming m is positive.\nAnswer: m**(7798\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9898, 9858, 9804, 9730, 9630, 9498, 9328?\n\"Answer: -z**3 - z**2 - 30*z + 9930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/3)*d*d)*d*d**(4\/3))\/((d*d\/(d\/(d*d\/d**20)))\/d**(2\/3)) assuming d is positive.\nAnswer: d**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133219474 is divided by 197655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/42 and 75\/76.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) 106 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 22*m - 2. Let n be b(1). Solve n = 2*j + 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {l: 5, j: 8, b: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/21 and -73\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a + 6. Let y be w(-7). Solve y*t + 148 = 142 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2023 (base 5) to base 12.\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 5*z**2 - 5*z**2)*(-3*z**3 + 2*z**3 + 4*z**3) - 10*z + 10*z - z**5.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 0\/2 - (-38 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.7 and 90550.\nAnswer: -1602735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 28. Solve 22 = -s*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 1 = -24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70503*q + 80 = 70483*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 16, 26, 36?\n\"Answer: 10*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Let w(q) = -4*q**2 + q**2 + 3*q**2 - q**u. Let g(d) = -13*d**2. Determine w(g(i)).\nAnswer: -169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -459 + 458.999252. Round t to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-24))\/((-4)\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 6190956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16540*a + 128980 + 865393 = 3953*a for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 1289, 4322, 10233, 19982?\nAnswer: 34529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f + 519. Determine r(29).\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57409212, 57409210, 57409208, 57409206, 57409204?\n\"Answer: -2*i + 57409214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - d)*((-7 + 2*d + 7)*(-2*d - d + d) - 16*d**2 + d**2 + 8*d**2) to the form u*d**2 + s*d**3 + k + p*d and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -53*f + 6. Are f and -42\/145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 2*h - 2. Let x(c) = 5*c**2 + 4*c**2 - 3*c**2 - 2*c - 3*c**2 - 2. Suppose -6*j + 44 = 74. Calculate j*x(k) + 4*t(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4977 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4 - 3*n - 5*n + n**3 - 12*n + 5*n**2 + 18*n - 3*n. Calculate c(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 3:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = 6. Solve k = 4*j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/183)\/(3\/30)*2\/(-20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 6 = -2*z, u + 8 = 3*z. Which is the nearest to 3? (a) -1 (b) -13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esgenam. Give prob of sequence eamn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(2736) + 2*sqrt(2736)*1 + (-2 + sqrt(2736))*5 + -5 + -3)**2.\nAnswer: -3264*sqrt(19) + 175392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*9*(-6)\/351.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9613746 is divided by 259828?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - 12. Let a = -3 + -5. Let w be v(a). Suppose 0 = k + 3*k - w. What is the lowest common multiple of 3 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*a - a - 34, -d = a - 19. Let f = 138 + -83. What is the greatest common factor of a and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 1\/4*n**4 + 0 + 0*n**2 - 10*n + n**3. Solve g(x) = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 201 + 12\/(-3). Suppose -u = -5*j + 437. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4522)\/665 + 2*((-315)\/14)\/(-15).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6784 and 1908.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(84) - (sqrt(84) - ((sqrt(84)*2 - sqrt(84)) + sqrt(84)))))\/(sqrt(4) + (sqrt(36) - sqrt(900))))\/(sqrt(9)\/(sqrt(108)*-2)*-5))**2.\nAnswer: 16128\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43\/(-5) + (-9)\/(-15). Let i = -10 + -10. Let u = y - i. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + u)*(0*u**3 - u**4 + 0*u**3) - 37*u**3 + 12*u**2 + 8*u**3 + 31*u**3 - 75*u**5.\nAnswer: -76*u**5 + 2*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9243516508 - -0.05\nAnswer: -9243516507.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 37. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -6\/11 (c) 0 (d) 4 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19572 divided by 3\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, t: 1}. Give prob of sequence mtm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24119 and 4183.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 + 0*b - 3 + 1 + b wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**4 - 795*h**3 = 0.\nAnswer: -159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22218 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -574432*c**2 - 839640?\nAnswer: -1148864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 20. Suppose -y*u = 674 - 1890. What is the greatest common factor of u and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -67.78. Let t = 1.9 - q. Let p = t + 0.05. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 379434486 and 7284?\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.1 + 22.01. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00491658871 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63878 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/855126 and -17\/12.\nAnswer: 1710252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -3346.\nAnswer: -29\/3346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8623 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: Four letters picked without replacement from {d: 2, f: 2, x: 1, y: 4, o: 2, c: 1}. What is prob of sequence yfyy?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*p**3 + 2*p + 3 wrt p?\nAnswer: 762*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*4*sqrt(91)*6)\/(-5*sqrt(448)*-2 + sqrt(448)))**2*-1*4.\nAnswer: -1872\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m. Let u(v) = 43*v**2 - 449*v - 112. Calculate g(u(q)).\nAnswer: 172*q**2 - 1796*q - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 302157*b + 2 - 3 - 302121*b + b**3 + 94*b**2 in the form c + r*b + w*b**3 + y*b**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 3*k**2 + 13*k**2 - 7 - k - k. Let i(j) = 3*j**2 - 2*j - 2. Let t = 101 - 209. Let x be 48\/(-27) - -3*8\/t. Give x*l(p) + 7*i(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11600552 (base 9) to base 14.\nAnswer: a7803a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - w**2 - 6*w. Give y(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1219*n + 48. Let m(p) = -3*p**3 - p**2 - p. Let q be m(2). Let j be -4 + (-132)\/q - 84\/10. Let f be c(j). Round f to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6171446951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(2*f - 2*f - 2*f) + (1 - 1 + 1)*(-21*f + 6*f - 19*f)*(2 - 1 + 0) - 12*f + 0*f + 7*f to r*f + c and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -121100020012111 (base 3) to base 7\nAnswer: -133550620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.098 - 0.046. What is f rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -k - 3, 15*g + 21 = 12*g + 3*k. What is the third biggest value in -1\/2, -0.3, g, 5, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55244457 is divided by 18414795?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1521, -3109, -4699, -6291, -7885?\nAnswer: -9481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - -12)*(3676\/(-3))\/(-2). Does 18 divide u\/14 + (-5)\/(210\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*r**3 - 2*f*r**2 + 7*f*r + 8600*f - 21*r**3 - 4*r**2 wrt r?\nAnswer: 12*f*r - 4*f - 126*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + g**4 - 2*g**4 + 4 - 58*g**3 - 357*g - 6 wrt g.\nAnswer: -12*g**2 - 348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**4 - 20*r**3 - 11*r**2 + 26*r + 6. Let i(z) = 4*z**4 + 59*z**3 + 32*z**2 - 77*z - 18. Let d(y) = -3*i(y) - 8*k(y). Find m, given that d(m) = 0.\nAnswer: -3, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1848)\/(-4620)*5\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71195927?\nAnswer: 11, 6472357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let h = 1743\/9284 + -5\/844. Which is the nearest to -0.3? (a) h (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3591 and 18487?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*x + 6326, -1507 = -q + 2*x + 1653. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b + u = -63*b + 4*u - 8, 40 = 4*b - u - 4*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 - 112. Calculate the highest common divisor of d and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*d - g, 2*d + 8*g - 38 = 4*g. Let y be 6*(-9)\/81 - d\/(-3). Solve u = -o + 3 - 0, o + 2*u = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from luuluequ?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 294\/18 - 1 - (-8)\/(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 389.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(13 + 5 - 13)*(-996*g - 2153*g - 2134 + 2134) to p + n*g and give n.\nAnswer: -15745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 1. Let q(v) = -6*v + 4. Let a = 11809 - 11808. Determine a*q(x) + 5*b(x).\nAnswer: -11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2\/3)*(w**4\/w)\/w*(w\/w**(-4\/7))\/w*(w\/w**4)\/w)\/((w**(-2\/7))**(-20)*w**(-7)\/w**(-7)) assuming w is positive.\nAnswer: w**(-122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*l + 227, -5*k = -2*l - 1 + 115. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:07 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107631 times -50?\nAnswer: -5381550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 3*y + 595, -2*s = 5*y + 257. Let p = 120 + s. Solve 4*n - 4*m - p = -0*n, 5*m + 5 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/5 (b) 2 (c) -1 (d) 1 (e) -179 (f) -1\/6 (g) 9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27631746 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3228)\/269 - -1*9. Let i(c) = -2*c**3 - 2*c**2 - c - 1. Determine i(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 - 221497*r\/2 + 49060921009\/4 = 0. Calculate r.\nAnswer: 221497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 50. Let x be z\/2*(24 + -26). Let y = -1.2 + 1. Which is the closest to x? (a) 0.5 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/6)\/5*-6. Suppose -g*j - 165 = j. Let y = j + 55. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1592.00004805 + 1592. What is k rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 5*v - 4. Let s be z(3). Suppose -2 = 4*c + s. Sort c, -5, 1.\nAnswer: -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -4.8. Let g = -4.89 + -0.11. Let w = t + g. What is the third smallest value in 5, w, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94 and 0.08.\nAnswer: -7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141741\/13 - (-122)\/(-793) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 22*c + 116. Calculate o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 0.45. Let i = 6559\/32 + -205. Let p = i - 43\/672. Which is the nearest to 1? (a) p (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 + 9*l + 93. What are the prime factors of m(-11)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94\/9 + -652\/63. Which is the third smallest value? (a) 0.2 (b) -5 (c) w (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*l - 5*l. Solve -m + 9 = l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008831 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 2.\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:19 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a. Suppose -4*n + 15 = 4*x - n, a = 3*x - n + 5. Suppose -5*u + 259 + 206 = x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 + 60*t + 52. Give l(20).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5*z - 4*z)*((3 + 0 - 1)*(0 - 1 + 0) - 4 + 2 + 1 - 1 + 1 - 2 + 1 + 1 - 1).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169686641.\nAnswer: 773, 219517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 842, 2276, 4450, 7364, 11018, 15412, 20546?\n\"Answer: 370*r**2 + 324*r + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -32*p**3\/3 - 108. Let g(n) be the third derivative of n**4\/8 - 2*n**2. Calculate g(i(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/10 (c) 3 (d) 893 (e) 4\/9 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -333795, -667587, -1001379?\n\"Answer: -333792*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/11, 484, 0.3, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*d + 257 = 44, 0 = 4*d + 20. Suppose -3*q = s - x, -2*q + 60 = 3*s + 9. Determine p so that -11 + q - 21 - p**3 - p**2 - p + 2*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1302 and -5\/2061?\nAnswer: 894474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22807441?\nAnswer: 491, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 12*m**2 + 56*m - 371. Give b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 10926792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1428 (base 11) to base 12.\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/1056)\/((-102)\/(-1309))*1*-9)\/(-9).\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q, -q + 5 - 23 = -5*f. Suppose -8 = 2*s - f*s. Suppose 2*l + 2*g - 12 = 0, s*l = 3*l - 3*g + 10. Solve l - 2 = -4*x - 2*r, -5*x - 5 = 3*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 74492 + 9088. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -110, -118, -126, -134, -142?\n\"Answer: -8*n - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:51 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169796958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*i = -20, -h + 28 = -5*i + 11. Suppose -h*j - 2*j + 4*q = -596, 5*j = q + 741. Is 36 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6802*n**3 - 7*n**2 - 7*n + 7. Let r(d) = -2267*d**3 + 2*d**2 + 2*d - 2. Give -4*h(p) - 14*r(p).\nAnswer: 4530*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -21, -52 in decreasing order.\nAnswer: 4, -21, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05 minus 67?\nAnswer: -68.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 5*m**2 - 2*m - 2. Let a be b(-4). Let k be 55\/(-28) + a\/(-40). What is the biggest value in 0.1, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 26. Let y(p) = -4*p - 132. Give 11*s(d) + 2*y(d).\nAnswer: 3*d + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1195 and 0.01.\nAnswer: -11.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 0.12. Let a = -0.13 + i. What is the second biggest value in 0.5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 217 + 96. Sort 35, x, -1.\nAnswer: -1, x, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = w - 2*o, 0 = -5*w - 4*o + 21. Let g be 1 - 1 - (-11)\/w. Let k = -8 + g. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n - 3. Let q(u) = -u**3 - 4*u**2 - u - 2. Let a be q(-4). Is 55*a\/n - -1 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230*(-3)\/(-6) - -8 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42283606 divided by 4\nAnswer: -21141803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1900693 and 11\/315919.\nAnswer: 115942273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 792963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a = 94*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:53 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-40) - (-132)\/10. Let y be o - (-145)\/(-10) - (-26)\/36. What is the second biggest value in 0.1, 13.8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 484*m**3 - 267*m**3 - 509*m**3 - 336 wrt m?\nAnswer: -876*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 773101998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165343383082 + -4881.\nAnswer: 165343378201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -50. Suppose -w + 20 = c. Solve -w*q + 3 - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (1*sqrt(2299))**2) + -4 - (3 + sqrt(2299) + 0) - ((sqrt(190)\/sqrt(160) - sqrt(19))**2 + -4 + -5).\nAnswer: -36923\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 268 = -4*t. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21498125 divided by 4299625\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368.829 + 8.071. Let f = i + -377. Is -199 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54575848 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51073820 and 143372.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468641142 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/13)*k\/k**5*k*k*(k**2*k)\/((k*k\/(k*k*k\/(k*k\/k**(-4)))*k)\/k)*(k**(-2\/3))**14\/(k**1\/k*k**2) assuming k is positive.\nAnswer: k**(-592\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*b - 8, 0*s + 4*s - 20 = -3*b. Is 41 a factor of ((-351)\/(-65))\/(s\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, l: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1586 or -4\/803?\nAnswer: -1586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 28. Let q(t) = 5 - 3*t - m*t + 6*t. Let i be q(-11). Solve -i = 5*r - 3*c + 2*c, 2*r - 5*c = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1183, -2502, -3821, -5140?\n\"Answer: -1319*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11277 + 11284. Solve 3*w = -d - 5, -p*d + w = -2*d + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/1)\/(8\/(-9632)*-112)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5916491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Suppose -4*h - l = -2*s - 11, 5*s - 28 = -2*h. What is the greatest common factor of h and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/28 + 9\/4. Find the common denominator of -26 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3645)*3.\nAnswer: 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/28 - (-10)\/(-35). Let j be (-16)\/(-5)*(n - -30). Let i = j + -47. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1236 and 166206156?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1678, 1645, 1616, 1591, 1570?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (7 + -6)) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s + 7. Let x(i) be the second derivative of -i**4\/12 - i**3\/6 - 2*i**2 - 122*i - 1. Let f be (-6 + 1)*(-1 - -2). Determine f*x(z) - 3*q(z).\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let p(s) = 1901*s + 53. Give p(b(v)).\nAnswer: 1901*v**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.12, 5 in decreasing order.\nAnswer: 5, -0.12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*p + 5*v, -4*p + 3*v = -9*p - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*y - 4*p, 0*p + 4*p = 2*y - 32. Let k = y - 18. Which is the closest to -7? (a) k (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564*s**2 + 3*s + 27184*s**2 - 3*s.\nAnswer: 24620*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 2*t**2 + 13*t**2)*((-5 - 2*t + 5)*(-2*t + 0*t + 4*t) + 3 - 3 + 2*t**2 - 4*t**2 + 0*t**2 + 2*t**2 + 3*t**2 + 1 - 1).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:31 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 - 354 = 14*f. Which is bigger: 31\/5 or f?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -109.8. Let p = f + 11.9. Which is greater: -13\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-6 + -14 + 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -74583\/31, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -410?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5986641057185 and 2?\nAnswer: 5986641057187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 85*q - 81*q. What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 - 1265 = 72*s + 233*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.9 - 58. Let n be 2\/((-2)\/(-2) - 3). What is the smallest value in 5, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.16. Let i = 5.16 - o. Put i, 1\/3, 0 in decreasing order.\nAnswer: i, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1417 and 590453.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = 3*g - 2, 3*g = 2*d - 22. What is the remainder when 9 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 31, -0.08, 0, -5 in descending order.\nAnswer: 31, 7, 0, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 60*w**2 - 35.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a factor of 123220393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2\/15*z**3 + 4\/5*z**2 + 8\/5*z - 3. Suppose a(o) = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yas when three letters picked without replacement from rysrrrsssyrssrrjras.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3517 = -184*q - 757 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7227208 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159\/7 + -23. Is z less than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1050180 or 1050056?\nAnswer: 1050056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -373\/4. Let u = -209830\/7 - -29976. What is the closest to 1\/5 in u, 0, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75 + -4.75. Let u = -1.3 + 2.3. Which is the closest to u? (a) l (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 34*r + 41. Let w be l(18). Let z(i) = -4*i**2 - w*i**2 + 10*i**2. Let f(v) be the first derivative of -7*v**2\/2 - 2. Give z(f(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -983311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -103, -152?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:55 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 5 + -7 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 100\/30 + 1. Let g = -240.1 - -240. Which is the nearest to 2\/11? (a) -0.2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g - 173259 + 260131 = -345982. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 5 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 - 3225*o**3 - 181002*o**2 + 4599540*o - 24640200 = 0.\nAnswer: -1014, -81, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 641*i*v*y + 12*i*y - 634*v*y - 124*y wrt i.\nAnswer: 641*v*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14624629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950133532 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than or equal to 1\/6847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 1702 = -7*b. Sort 1, 5, b in ascending order.\nAnswer: 1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -675*p - 17567. Give a(-26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*m + 12594 = -7186 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.639 - -0.339. Sort -3, 3, z.\nAnswer: -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 154 = 20*v. What is the third biggest value in -1\/5, v, 1\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:02 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72*((-4)\/18 + 143\/117). Let n(p) = -p**3 - p**2 - p + 9. Let i be n(0). Calculate the greatest common factor of i and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 - 11*d)*(3 - 1 + 0)*(-7*d**2 - 14*d**2 + 5*d**2).\nAnswer: 352*d**3 - 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1\/6, 1\/3, 187?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-66)*0 + (5 + -21 - 58)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 54, 79, 104, 129, 154?\n\"Answer: 25*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*q + q - 9*q + 4 + q - 4 + (3*q - 4*q + 3*q)*(0 + 0 + 2) - 6*q + 4*q + 4*q + 0 - 3*q + 0 in the form u*q + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2926657*c**3 + 802554*c**2 wrt c?\nAnswer: 17559942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*3*2 - sqrt(7)) + sqrt(7)*4 + -3.\nAnswer: -3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*x = 365*x + 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/(-8)*16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -71*r, -2*j + 819*r - 1631*r = -816*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o + 18*o + 2*o as y*o + r and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -721 and 21740?\nAnswer: -15674540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 137*x**2 + 281*x + 529. Let b be h(-139). Suppose 0 = m + m - 226. Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -39. Let w(q) = -q**3 - 5*q**2 + 4*q - 10. Let z be w(l). Suppose -z*k + 29 = 3*j, -4*k + j + 67 = -26. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.2, 189955 in descending order.\nAnswer: 189955, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.2 - -0.0678.\nAnswer: 5.2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w*w**(-12)*w*w))\/w*w)*w*w)\/w**12)**(2\/5))**(-1\/58) assuming w is positive.\nAnswer: w**(19\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 66 - 464*o**2 - 123.\nAnswer: -464*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 12*p**3\/7 + 590*p**2\/7 - 502*p\/7 - 100\/7 = 0.\nAnswer: -50, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - j + 2*j**3 + 3 - j**3 + 0*j**3. Suppose 0 = -2*r - 2*r. Determine d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-8)*(-2 - 20) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 c when three letters picked without replacement from yyygygyewgygcyyyywy.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 + -5 + -1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*r + 33*r + 126. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 4, h: 8}. Give prob of sequence zh.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 16, 3, 8, -3, -441, -1 in ascending order.\nAnswer: -441, -3, -1, 3, 6, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 4. Let x(i) be the second derivative of 0*i**2 + 0*i**5 - 1\/10*i**6 + 0*i**v + 3*i - 1\/3*i**3 + 0. Find the second derivative of x(o) wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-20)*-4 - (-4)\/(-10). Suppose 15*h - 2937 - 2103 = a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 6*v + 207 = 5, v = 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980\/(-765)*(-85)\/(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/11)\/z)\/(z\/z**26)*z\/z**(-2\/7)*z**(-1\/7)*z)**(-35) assuming z is positive.\nAnswer: z**(-9855\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10) + (-10)\/(-4). Let b(f) = -3*f**2 - 2*f + 3. Let m(s) = -3*s**2 - 3*s + 4. Let i(q) = j*m(q) - 3*b(q). Find the first derivative of i(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 8*q - 2*q)*(-6*q - 1 + 1)*(-20*q**2 + 38*q**2 - 10*q**2) to b*q + p*q**2 + x*q**3 + n + k*q**4 and give k.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -672*3\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902656, -1805297, -2707918, -3610519, -4513100, -5415661?\nAnswer: -6318202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 295. Let x be n(-25). Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -9, -0.3, 12, -37, -43?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 5060 = -4*a. What is the remainder when a is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344.8 rounded to the nearest 10?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5594120 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n - 97*n = -40*n - 3720 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:57 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570945 to the power of 1\/2, to the nearest integer?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 19. Let h be q(11). Let l be ((-3)\/9)\/(1\/(-9)). Solve i + 2*c + h + 6 = 0, 0 = 5*i - l*c + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/7))**(-31)*(b\/(b\/b**(-6)))**2)**18 assuming b is positive.\nAnswer: b**(-954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 5*d = 8, -2*d - 2 = -g. Let p = g + 1. Find the third derivative of 4*q**3 - q**2 + 0*q**2 - p*q**3 + q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a**3 - 2*a + (-1 + 1 - a)*(-4*a**2 + 4*a**2 - a**2) - 5*a**3 + 2*a**3 + 5*a**3 + 0 + 0 + 2*a**3 + 2*a**3 - 14*a**2 + 14*a**2)*(4 - 3 - 3).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -7*h + 3*h. Let m be h\/(-4) - (-2)\/1. Suppose 0*p + m*p = 124. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -40. Let u = 17 + p. Let t = 6.81 + -6.61. What is the nearest to -1 in 0.5, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(372\/(-414)))\/(6\/4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6569 (b) 1 (c) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 + 2*q - 10. Let k be a(7). Suppose -4*g + 3*w - 20 = 0, 6*g - g - w + 14 = 0. Let r = g + k. Solve n - r*n = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.3. Let v be ((-208)\/(-30))\/(-2)*64. Let s = v + 222. What is the third biggest value in n, 0.5, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 54*u**2 - 36*u - 117. Let d(c) = -11*c**2 - c. Let b(i) = 5*d(i) + j(i). Give b(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -653, -652, -651?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -5. Let y = m - 45. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - o - 9 - 35 + 25.\nAnswer: -o - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3 and 23\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*a + 45, 14*q - 9*q = a - 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*y + 0)*(517*y**2 - 192*y**2 - 70*y**2) in the form b*y**2 + r + x*y**3 + o*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -35*c + 102864. 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 -5 - (1 - (-3 - -4 - 6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w + 5*z - 35 = 0, 3*z - 9 = 0. Let y be (w\/(-18))\/(2\/(-3)). Let l = 2395 + -2400. Sort l, -1.7, 1\/6, y in decreasing order.\nAnswer: y, 1\/6, -1.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 100457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g)\/(g*g**(-6)))\/((g\/g**(-2))\/(g**0*g*g))*(g**(-1))**(3\/17)\/((g**(3\/4)\/g*g)\/g*g**4) assuming g is positive.\nAnswer: g**(73\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51660799*w**4 + 5193383*w - 2 wrt w.\nAnswer: -619929588*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00172869 rounded to 5 dps?\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -93.\nAnswer: -102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 32*y + 224. Let s be g(-7). Suppose s = 10*p - 343 + 103. Calculate the smallest common multiple of p and 246.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.83 * 0.1647\nAnswer: -26.818101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(76) + sqrt(76)*2) + sqrt(76) - sqrt(76)) + (sqrt(76)*-2 - sqrt(76))*-5)\/(4*((2*sqrt(484) - sqrt(484)) + sqrt(484))).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3622389837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -77. Let f(q) = q**3 + s + q + 0*q + 0*q. What is the units digit of f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*773.1.\nAnswer: 64940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 != 24464\/839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 2177*n**2 + 2200*n**2 - 2*n - 91 + 2*n + 51.\nAnswer: 23*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 6, d: 6, o: 4, t: 1}. What is prob of sequence odso?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.055 + 54.96. Round d to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47831?\nAnswer: 7, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 8*q = 0. Let r = q + 2. Suppose r*o - 4*s + 0 + 8 = 0, 0 = -2*o + 2*s. Solve 3*f + 2*y + 5 = 0, 3*y - 12 = o*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018509 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6398812002788 and 0?\nAnswer: 6398812002788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s + 10. Let w(b) = 8*b + 9. Let h(z) = 4*u(z) - 5*w(z). Let v(f) = -7*f - 4. Determine -4*h(j) + 5*v(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhhf. What is prob of sequence fhf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3462 - 2*x - 3462 + 699*x**2 as m + f*x**2 + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41208587.\nAnswer: 7, 19, 83, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -14*w**3 + 3552*w**2 - 136710*w - 12187476 = 0?\nAnswer: -282\/7, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 + 11*x**3*y**3 - x**2*y**3 + 5*x*y**3 + 22*x wrt x?\nAnswer: 20*x**3 + 66*x*y**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1505*k**2 + 1336*k**2 + 1329*k**2 - 4159*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -59. Let v = 23 - q. Solve 7 = -5*f + 3*a, -v*f - 4*a = -17 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011764 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 + 22*n. Let i(x) = -x**2 + 11*x. Let a(z) = 2*z. Let d(c) = -11*a(c) + 2*i(c). What is p(d(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40094598331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -472*a**2 + 45*a**4 + 836\/3*a**3 - 10\/3*a**6 + 240*a - 203 - 292\/5*a**5. Find f such that q(f) = 0.\nAnswer: -15, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -1 - (-1189 - -1194)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*f - y + 15, 5*f - 3*y - 23 = 0. Suppose -f*u + 236 = 5*v, v - 78 + 19 = -u. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2*k**3 - k + 3. What is the derivative of z(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15054 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -8) + 3*1. Suppose -4*n + 3*x - 376 = -5*n, -s*n + 2*x + 1490 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*l + 500*l = 5*q + 32, 6 = -q - l for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/3, 2, -4\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x - 238*x**2 + 23*x + 7*x**2.\nAnswer: -231*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4, 3*u + 2*c + 38 = 178. Suppose 2*w - u = -w. Suppose -d = -g + 20, w = 2*g + 2*d + 2*d. What is the lowest common multiple of g and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccva. What is prob of picking 2 c and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-18) - (-196)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99\/496 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/45791 and 36\/8127113.\nAnswer: 235686277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7040 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - 5?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -431 in -2, 7.435, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 46*k = -165 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 2 + (-4)\/(((-1)\/14)\/(133\/76))?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462327?\nAnswer: 3, 19, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152645063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1777\/30 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, o: 10, i: 2, b: 1}. Give prob of sequence ibv.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0 - 5\/24*n**4 + 0*n + 7\/6*n**3 + 2*n**2. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-4)*y)\/y*(y**7\/y*y)\/y*y*y\/(y\/(y\/(y**(3\/7)\/y)*y))*y*y**(1\/5))**(-4\/5) assuming y is positive.\nAnswer: y**(-1228\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 70 - 2*h + 20*h + 15*h. What are the prime factors of f(3)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 - 7*b**2 + 9*b + 4. Let u(n) = -n**3 + n**2 - n. Let o(q) = m(q) + 6*u(q). Suppose 5*s = 5*f - 40, f + 3*f - 14 = -2*s. Is o(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 964035728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -185\/3276 and 92\/49959.\nAnswer: 199836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f*f)\/f*f*(f*f\/((((f\/f**(-18))\/f*f)\/f)\/f))\/f*(f*f**(-2\/43))\/f**2 assuming f is positive.\nAnswer: f**(-1120\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11124 and 1442?\nAnswer: 77868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -47*z**2 - 1292*z + 422508. Let a(g) = 6*g**2 - g - 1. Let r(q) = -8*a(q) - d(q). Determine o so that r(o) = 0.\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4525, -2\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268263?\nAnswer: 2268263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -5, 3\/7, 2\/53?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 235 = -8*l. Is l equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - ((10 - -1 - 24) + 24 + 2).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102202 - 22?\nAnswer: -11110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgcccxgdddid. What is prob of picking 1 d and 1 g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*j = 1796763 + 1989098, -5*j = -g + 946461. Suppose 208534 = -15*i - g. Round i to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Let p(u) = -u**3 + 1. Let y(k) = -3*k**2 - 2*k**3 + 4*k**2 - 2 - 3*k**2 + 8*k**3. Calculate f*y(z) + 4*p(z).\nAnswer: 2*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.40559229 + -0.14321961. Let r = l - -1.549. What is r rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21117, -42684, -64253, -85824, -107397, -128972?\nAnswer: -150549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1479a (base 16) to base 10.\nAnswer: -83866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 393671827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.7 and 808.8.\nAnswer: 817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.4 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11868+62118\nAnswer: 50250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*x - 6*x + z, 28 = x + 4*z. List the prime factors of (-6)\/(5 - 106\/x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5347*v + 3207*v - 613*v.\nAnswer: 7941*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*110851.\nAnswer: -443404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 456042 in -0.4, 2\/23, -1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 371 + -382. Let t = 10.7826 - -0.2814. Let f = t + z. Round f to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 9318 = 2*t, 2*t - 2491 - 6818 = a. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7) + -4 + 2*sqrt(7)*-2)**2.\nAnswer: 40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 609 (c) -2\/5 (d) -12 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -230535 divided by 327?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/54)\/(-1)*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:32 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12137.\nAnswer: 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10340)\/6 + 64\/(-96). Let n = 15353 - s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*s + 3*x, -3*s - 2*x = -8*s + 41. Let f = s + -6. Is -7*(f - (-3 + 7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 + 2*i**4 - 5*i**2 + (-11*i**3 + 34*i - 34*i)*(i + 0*i + i).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.723401 micrograms?\nAnswer: 0.009723401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 - 1. What is z(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 10*h**2 + 14*h - 3. Let t(s) = -s - 1. Let y(b) = 4*t(b) + v(b). Determine y(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 - 566696*m**3 - 15*m - 34510 wrt m?\nAnswer: 24*m**2 - 3400176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + w)*(-36582 - 3210 - 5381 + 10468 - 15118 - 21969).\nAnswer: -143584*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 77 = 46. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6401*k + 1. Let d(v) = 2*v**2. What is d(h(x))?\nAnswer: 81945602*x**2 + 25604*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 21051.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m - 1. Let v be -2 + (84\/2)\/7. Let k(a) = 2*a**2 - 2*a + 2. Calculate v*f(r) + 3*k(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -98?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 36*f**2 + f + 0*f + 57*f**2 to b + p*f**2 + d*f + h*f**3 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/330 and 29\/43194.\nAnswer: 2375670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2443*j + 1115*j = 1289*j - 26170 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -10. Let f = 2 + p. Let w = f + 4.5. Which is the second biggest value? (a) w (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -581 - -646 - 2*17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(2 + ((sqrt(252) - (sqrt(252) + 0)) + 1)**2*-2)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * 2038.\nAnswer: -65.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - i**3 + 0*i**3 + (19*i**2 - 44*i**2 - 56*i**2)*(8*i - 3*i - 18*i) + 0*i**3 - 2*i**3 + 0*i**3.\nAnswer: 1049*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47016225 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -11 + -7 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -47. Let j = u + -55.99953. Round j to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5548*n**2 + 2*n + 6533 with respect to n.\nAnswer: 11096*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 35*u - 75 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5 + 14. Let q be 7 + 6\/a*-1. Suppose -5*m - k + 11 = 0, 4*m = 2*m + q*k - 1. Let g(i) = -i**2 + 5*i - 1. What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/5 - 9684*g\/5 - 11722482\/5 = 0.\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 61 - 116. Put 0, m, 2 in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.2705s in milliseconds?\nAnswer: 158270.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314 = 91*p - 35*p - 2034 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 + 340\/(-14). Let q be ((-24246)\/v)\/((-2)\/(-16)). Let b = 4818 + q. Round b to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -m. Suppose -m*b - 6 = -5*b, -5*n - 2*b = 96. Let s = -12 + -8. Is n != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001200102 (base 3) to base 15.\nAnswer: -12cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7136 and 334500.\nAnswer: 2676000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -42*k + 319. Suppose 16*q - 836 = k*q - 4*x, 6 = -2*x. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 120*u**3 - 1200*u**2.\nAnswer: -3*u**2*(u - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 675 - 667. Determine p, given that -g*p**3 + 0*p**2 - 2\/3*p**4 + 0 + 8\/3*p = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 76*c. Let u(y) = -456*y + 5*y**2 + 456*y - 4*y**2. What is u(x(t))?\nAnswer: 5776*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.5, -23, 115.6, -1\/6, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8846, -0.2, -2\/43, 5.\nAnswer: -0.8846, -0.2, -2\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 2*i + 7. Let g = -6 + 11. Suppose -35 = -5*s + 4*o, o = g*o. Is 21 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46311619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 143231.\nAnswer: 4\/143231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3*r**5\/20 - 3*r**2\/2 + r + 2. Let x(a) be the first derivative of u(a). Find the first derivative of x(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + 11\/6*u**3 - 61*u - 1\/2*u**2. Determine h(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32297, -2\/15, 6, 4, -0.08 in ascending order.\nAnswer: -2\/15, -0.08, 4, 6, 32297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4479*f**3*o**3 + 3*f**3*o - 15818*f**2*o**3 - 2*f**2*o**2 + 2*f**2 + f*o**3 + 3*o**3 wrt f?\nAnswer: 26874*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*o**2 + 178*o**2 + 138*o**3 - 2*o**3 + 2*o**3 + o**3 + (0*o + 0*o - 2*o)*(3*o**2 - 3*o**2 + 2*o**2) - o - 2*o**3 + o)*(4 - 4 - o).\nAnswer: -133*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -7, -1.01, -4, 1\/4, 1500 in descending order.\nAnswer: 1500, 1\/4, 2\/9, -1.01, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145654286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 11. Let r be z(-8). Let k be (3 - 1)*1*2. Suppose -k*h = -n - 8, -r*n + 8 = h + 3*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79125685 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:51 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123589287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 - -0.76. Sort 5, 6, z in descending order.\nAnswer: 6, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + 1)\/((-5)\/(-20)). Suppose -6*r - 5*r = -w. Let n be (8\/19)\/((-16)\/r). Is n at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/16)\/(445\/(-1890) - (-7)\/49)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 435, 1011, 1829, 2895, 4215?\nAnswer: 5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58cd147 + 3?\nAnswer: 58cd14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 3*a**2 - 10*a**2 + 8*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22118 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 - 2*h**3\/3 - 2*h**2 - 2*h + 2. Let b(l) = 1 - l + 5*l**2 - 4*l**2 + 5*l. Let z be b(-3). Give p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i, -5*t = -t - 4*i - 24. Suppose -t*q - 1 = -5*q. Put 2, q, -5 in decreasing order.\nAnswer: 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*r - 24, 6 = -2*c + 5*r + 30. Does 3 divide (c\/(-15))\/(3*8\/(-2820))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 3, i: 10, q: 2, v: 2}. Give prob of sequence qq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((1 + sqrt(5) - sqrt(5))*-2 - sqrt(5)) + sqrt(5)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u - 14. Let l(i) = 5*i - 13. Suppose -5*t + 2*t = 3*w + 57, 2*w + 3*t = -42. Let q be (w - -10)*(-1 + 2). Let d(r) = q*l(r) + 4*z(r). What is d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-224)\/560*-15*1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244264 divided by -30533?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20)*295\/1. Suppose 12*b + 25 - 49 = 0. Differentiate v*y - 3 + b - 115*y wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/42 - 160\/84)*(-10)\/(-12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**6\/75 + 26*v**5\/75 - 29*v**4\/9 + 532*v**3\/45 - 49*v**2\/5 - 4249*v. Determine u so that d(u) = 0.\nAnswer: 1\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 - -2*(1 + 1). Let q = -22 + s. What is the least common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 54*a**2 - 256*a + 724. Calculate the remainder when b(3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3183014 is divided by 10301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*p + 34, 5*p - 4*t = -5*t - 60. Let a(l) be the first derivative of l**3\/3 + 5*l**2 + 5*l + 3. What is the least common multiple of 4 and a(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290 + -287. Solve -5*f + 2*c = 3, -f - 2 - u = 4*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 0, -43*m = -42*m + 2*k - 9. Suppose 3*i - 6*i = 0. Solve i = 2*z + z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 - 5*n**2)*(1101*n - 1211*n + 1033*n)*(-1 + 2 + 0).\nAnswer: -1846*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 17. Let q be m(11). Let t = -4 + q. Find the second derivative of 2*h + t*h**2 - 4*h - h**2 wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20982115 by -1.\nAnswer: 20982115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -226801155.1 rounded to the nearest 100000?\nAnswer: -226800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305 - -169. Let k = -55 - f. Let c = -89 + k. What is the nearest to c in 0.2, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -4)*(-5)\/10 + -2. Let x(o) = -o**2 + o + 1. Let v be x(0). What are the prime factors of (-40 - v)*2\/t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 3, -25, -97, -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0.2 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:11 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.038.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/30266 and -49\/10.\nAnswer: 151330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (1 - (-3 + 1)). Let f(t) be the second derivative of t**5\/20 - 2*t**3\/3 + t. Is f(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114472 and 0.3?\nAnswer: 114471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z - 15. Determine q(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-34 - 0\/(-6 - 3)) - 5\/1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**8\/112 + 11*w**7\/210 + w**6\/10 + w**5\/15 + w**2 + 176*w. Factor c(l).\nAnswer: l**2*(l + 1)*(l + 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from cnnnncnnncnnncncnnnn.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*w + 142 - 16, -w - k + 27 = 0. Solve 4*y + 2*c + 24 = 0, 0 = -2*y + 3*c + w - 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 3*s = -13*z + 5651, -s = 4*z - 22604. What are the prime factors of z?\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 3*n**2 + n**3 + 3*n**2 + 2 - n**4 - 6*n**2. Find the third derivative of t(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35154 divided by -27?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 + 8 + (-25 - -70 - 151))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t + 34 - 16 = 1096. Solve 2*d + t = 36 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(80\/96).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 253.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 + 2*l - 3*l + 6*l**3 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -451\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 8 = 4*z. Let c be -1*771\/z*-2. Suppose 0*q = -3*q + c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 10. Determine p(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/26783 + -4097975\/2356904. Let a = q + 5\/44. Are -3 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4374 rounded to two decimal places?\nAnswer: 5.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -153777.042 rounded to the nearest 1000?\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/16)*c)\/c*c**11*c**(1\/4)\/c**17 assuming c is positive.\nAnswer: c**(-93\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427117168 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9570.889l in millilitres?\nAnswer: 9570889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -223386442 divided by -2?\nAnswer: 111693221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10*k + 286 = 0. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:15 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**3 + 717*p**2 - 120*p + 178 wrt p?\nAnswer: 36*p + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3072932?\nAnswer: 2, 379, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1373*r - 21. Let x(h) = -h**2. Determine x(m(f)).\nAnswer: -1885129*f**2 - 57666*f - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*t - 1 = -3*t, -t + 13 = 5*v. Let i be ((-8)\/(-16))\/(v\/12). Suppose 4*p - 2*p = w + 223, -i*p = -w - 336. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -13, -19, -25, -31, -37?\n\"Answer: -6*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 1, s: 1, x: 1}. What is prob of picking 1 x, 1 s, 1 z, and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3358124 + -5948941.\nAnswer: -5948942.3358124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l + 11190 = 0. Is (l\/25)\/(7\/(-35)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-404)\/(-6))\/((-3)\/(-9)). Suppose s - h - 555 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3829305361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/338800 and -1\/755040?\nAnswer: 26426400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308c58 (base 13) to base 6.\nAnswer: -40143540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let b(w) = w + 1. Let i(a) = -5*b(a) - 4*m(a). Let h(q) = 40*q + 30. What is -h(r) - 30*i(r)?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30617, -122451, -275515, -489815, -765357, -1102147, -1500191, -1959495?\n\"Answer: -o**3 - 30609*o**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 133, 206?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464*l + 4886 = -1016 - 16058 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*h**2*m - 3*b**3*h + 3253*b**2*h**3*m + b**2*h**3 + 42*b*h - 3*h**3 with respect to m.\nAnswer: 2*b**3*h**2 + 3253*b**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g + 1. Let q(a) = 27*a + 4. Let i(k) = q(k) - 2*r(k). Let z(b) = -24*b + 2. What is z(i(x))?\nAnswer: -168*x - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s**5 + 110120*s**4 + 257064*s**3 - 477216*s**2 - 844444*s - 220296 = 0 for s.\nAnswer: -3, -1, -1\/3, 2, 9179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(462\/(-11)))\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14956 - 14704. Solve -u = 62*m - 20*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -353, -705, -1057, -1409, -1761?\n\"Answer: -352*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37.6 times 0.35\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.503 * -569.2\nAnswer: -286.3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsrsrssssssssss. What is prob of picking 3 r?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11763000 to the nearest one hundred thousand.\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(66) + (sqrt(66)*-2 - sqrt(66)))\/sqrt(2) + sqrt(33))\/(-2*sqrt(275) + sqrt(275)) + 1*(sqrt(75)*-3 + 1))**2.\nAnswer: -30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 35 + 15. Factor -4\/9*l + 0 + 10\/9*l**2 - 8\/9*l**3 + 2\/9*l**p.\nAnswer: 2*l*(l - 2)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4131 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:07 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-178)\/(-14) + -4*1\/(-14). Let t(v) = -v + 1. Let y be t(1). Suppose -8*d + o*d + 5 = y. Is -3\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -4*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 28 = 0, -35*z - 41 = -4*n - 38*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1377 and -59\/29646.\nAnswer: 503982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 38*a + 30*a + 357 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -57. Suppose 2 = z + 3*o - 10, m*z - 16 = -4*o. Factor 0*v - 1\/3*v**2 + z.\nAnswer: -v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22*a - 5. Is 17 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 13*n + 4*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 12*q + 4. Suppose 46*d - 39*d = -70. Calculate p(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*u*w**3 - 23751*u - 3452*w**3 - 10*w wrt w.\nAnswer: 234*u*w - 20712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.7. Let g = 215 - 214.5. Sort 2\/3, o, -4\/7, g.\nAnswer: -4\/7, o, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, -1\/3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3485, 13908, 31269, 55574, 86829, 125040, 170213?\n\"Answer: r**3 + 3463*r**2 + 27*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*b**4 - b**2 + 0*b**2 - 62*b**4 - 2 to the form i*b + a*b**4 + p*b**2 + t + j*b**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*426416\nAnswer: 1279248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 11*p**2 + 38*p - 8. Let s(j) = -j**3 - 4*j**2 - 12*j + 3. Determine 8*s(a) + 3*t(a).\nAnswer: -2*a**3 + a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**3 - 2*y - 38*y**3 - 4*y - 10*y + 22*y**3.\nAnswer: 2*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18879051?\nAnswer: 3, 6293017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5161 = 9*n - 36482. List the prime factors of n.\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*w - 11, 5*w + 22 = 5*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4*4 + 21. Let m(h) = 4*h - 4. Let y be m(2). List the prime factors of (y\/2)\/(1\/b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*x**5 + 11160*x**2 + 867*x + 292 wrt x?\nAnswer: 700*x**3 + 22320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -128.099. Let c = -0.09831 + j. What is c rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 - 9*c**2 - 12*c**2 - 5*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*456\/(-304)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1559 + 1590. Solve -c*q + 38*q = 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*b**2\/11 - 2409*b - 5130\/11.\nAnswer: (b - 855)*(31*b + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 17*h**2 + 17*h + 23. Let t be a(18). Suppose -y + 6 = j, -4 = t*j - 3*y - 2. Solve -3*q + q = -j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 + r**2 + 22*r**5 + 55*r**3 - 55*r**3 wrt r?\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*j**2*o - 5*j**2 + 564*j*o - j wrt j?\nAnswer: 250*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1173*v**2 + 1173*v**2 - 2241*v**3 + 7394*v**3 + (0*v**2 - v**2 - v**2)*(-2 + 5*v + 2) as f*v + j*v**3 + t*v**2 + u and give j.\nAnswer: 5143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v + 848. What are the prime factors of k(0)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/60 + q**4\/12 - 5*q**3\/6 + 13*q**2. Let c be v(-4). Suppose k + 3*k - 610 = -2*i, i - c*k = 280. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, -891, -3\/2, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10096, 10079, 10060, 10039, 10016?\nAnswer: 9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616 divided by 154.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1584)*1)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**25\/(k\/((k*(k**(-1\/30)\/k)\/k)\/k))*k**(2\/37)*k**(-1\/15)\/k assuming k is positive.\nAnswer: k**(7753\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18694 is divided by 340.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -92 + 37 + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 23\/14128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50245 by 6.\nAnswer: 50245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -101. Let q = -3 - -7. Calculate the least common multiple of r and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 + 341*y + 683. Give z(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 153 - 45 = 0. Let u be 10\/6*g\/(-30). Solve -2*k - k + 15 = u*t, -k - 4*t + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/200 and 82\/45.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 799 + -675. Let o be (-4557)\/h - (-3)\/4. Which is bigger: o or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 173 - 115 - 97.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9614090 divided by 1790?\nAnswer: -5371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**3 + 17290*n**2 - 15*n - 4880. Let f(b) = -b**3 + 4322*b**2 - 4*b - 1220. Let j(u) = 15*f(u) - 4*h(u). Differentiate j(g) wrt g.\nAnswer: 3*g**2 - 8660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**2. Let b be t(-1). Let f(c) = -c**3 - 10*c**2 - 13*c - 12. Let m be f(-9). What is the greatest common divisor of b and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114141 (base 5) in base 13?\nAnswer: 1c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852 + 858 + 2043*p + 1370*p - 1710.\nAnswer: 3413*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 8*m + 12. Let g be d(7). Let l = -5 - 3. Let f be (-522)\/l + 4\/(-16). What is the greatest common factor of f and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32734466 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4636706)\/(-96) + (0 - 4). Suppose -3*m - m - p = -193186, 0 = -4*p - 8. Let j = u - m. Find the common denominator of -89\/2 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -36. Find the common denominator of 9\/2 and 133\/(-20) + 9\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432140403 (base 5) in base 10?\nAnswer: 1833853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7)*(-7)\/(-14). Let k = -18 + 19. Is k less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from uuuyeuauyuuaaeyyyey?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.096 in -44, -0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 + 2*r - 2. Let t be u(-2). Calculate the highest common factor of t and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 37) + (89 - (126 + 13)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2444 (b) 1\/5 (c) -598 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(1\/((-1)\/(-2)) - 3). Let u(z) = -106*z - 23. Is u(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 35088695.9.\nAnswer: -35088694.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261922?\nAnswer: 2, 173, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96290, -96260, -96218, -96158, -96074?\n\"Answer: d**3 + 23*d - 96314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4088\/13 in -2\/11, 1, -2, -0.72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-1)\/(-2)). Which is the biggest value? (a) -0.2 (b) 1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -5\/2091, 4, -4?\nAnswer: -5\/2091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 49. Let h be q(0). Let p = -35 + h. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 78, -3, 1371 in descending order.\nAnswer: 1371, 78, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 - (7 + -1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 114 = -116. Solve t + 2 = -y*g + 2*g, 26 = -3*g + 5*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + f - 5 = 12, -53*f + 47*f + 30 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)**(4\/37) assuming b is positive.\nAnswer: b**(-5\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 33\/7, 2 in descending order.\nAnswer: 33\/7, 2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -13a?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + -2162807?\nAnswer: -2162761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-6) - 31274\/228. Let k = -26 - y. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {l: 2, q: 3, r: 1, v: 10}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1471.\nAnswer: 735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 483416 + 110262109.\nAnswer: 110745525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.03 + 1.02982. Round c to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -8.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23304 - 71*o - 262*o - 23303 to the form v*o + m and give v.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*s**3 - 703*s**3 + 323*s**3 + 210*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22389462 divided by 2487718.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5069, -10127, -15185, -20243?\nAnswer: -25301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-2 - sqrt(132))\/(sqrt(144)\/((sqrt(12) - sqrt(108)) + sqrt(12))) + 0.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**3\/3 - 3*u**2\/2 + 2*u - 1. Let w = -4588 + 4588. What is the units digit of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 384194?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -106. Calculate the smallest common multiple of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164.8 and 0.5.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13220 - 0?\nAnswer: -13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32254 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381*c + 2387*c = 144. Suppose 208 = c*y - 56. What is the nearest to 3 in -0.5, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 3. Let d(j) = j**2 - 1. Suppose 0 + 9 = -3*t. Let z be -2 + (0 + 5 - -1). Suppose z = 2*l - 6, 2*l = -u + 9. What is t*d(f) + u*b(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*v - 6500 = -11 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 15*g - 13*g. Let f(x) = -4*x - 10. Let j be f(-3). Suppose -2*w - g*w = -5*h - 2010, -789 = -j*w + 5*h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6173.503 rounded to the nearest ten?\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3164 = -1614*x - 4151 - 3855 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -10)*20\/(-12). Suppose -4*d = g - 437, -9*g - 12 = -n*g. Let p(a) = 3*a**2 + 3*a - 3. Calculate the remainder when d is divided by p(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 150 = 4*y, -7*y - 3*n + 158 = -3*y. Let i = 52 - 77. Let q = y + i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1112 - 46?\nAnswer: 10bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + 63*p - 21*p + 5*p**2 - 43*p to the form u + b*p**2 + f*p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-91) - (-10508)\/1491)*-12\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/3 (c) 86\/5 (d) -3\/2 (e) 73 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 - -451. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence low when three letters picked without replacement from wppwwalpwmmlowoaamo.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, 1 c, and 1 y when four letters picked without replacement from {y: 2, j: 2, d: 4, t: 2, i: 3, c: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.013, -0.05, -5\/13, -60\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((1 - -7) + -5)) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/6 (b) -4 (c) 1 (d) -1 (e) -4\/11 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1376*y**2 - 135990*y + 3150900.\nAnswer: 2*(y - 45)**2*(y + 778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f**3 - 2*f**2 - 5*f - 3. Let b be p(-1). What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 - n. Let u be 12\/(-8)*2\/(-3). Let w(i) = 12*i**3 + i**2 - i + 1. Calculate the remainder when w(u) is divided by f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**2\/2 - 3*v + 2. Let t be c(5). Suppose t*d + 311 = 105. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11764678.14 - -0.015.\nAnswer: 11764678.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:53 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133170 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -820817096*w**4 - 163966404*w wrt w.\nAnswer: -9849805152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-9))\/7*(-54)\/24?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006959749 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 350*d\/3 + 30625\/3.\nAnswer: (d - 175)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -1\/2*o**2 - 6*o + 198. Let l = -21 - -9. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*f = 180*f - 186. What is the smallest common multiple of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616 (base 8) to base 4.\nAnswer: 12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.096 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 37*n**2 + 3*n - 1331. Let q(a) = -111*a**2 - 8*a + 3993. Let g(y) = 4*q(y) + 11*z(y). What is the derivative of g(m) wrt m?\nAnswer: -74*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 445968 and 8.\nAnswer: 445968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k**0)\/(k**(1\/2)\/k)**(1\/48))**(-4) assuming k is positive.\nAnswer: k**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.024, 4, 1423 in ascending order.\nAnswer: -0.024, 4, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 39 - 904361*h - 161639*h + 25. Let s(c) = -82000*c + 5. Let q(b) = -5*k(b) + 64*s(b). Let w be q(-5). Round w to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Suppose 2*d + 0*d = s. Put 1, d, -6 in descending order.\nAnswer: 1, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -7*w**4\/24 - w**3\/6 - 12*w**2. Suppose 9*r - 5 = 4*r. Calculate k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -47*f**2\/2 + 307201*f\/4 - 7353 = 0. Calculate f.\nAnswer: 9\/94, 3268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 5*n = 12, 2*c + n - 6 = 0. Suppose c*v = -2*i + 170, 3*i - 257 = 4*v - 9*v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*i + 21 = -z, 4*i = 4*z + 16. Let q(o) = -o - 6. Let p be q(-9). Solve -5*m - 3*b = -z, -2*m - 11 = -3*m + p*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 30*x + 5*y - 15, 0 = 4*x - 4*y + 12. Let k(h) = 2*h + 2. Let a be k(-2). Let c be 205\/418 - (-1)\/a. Is c greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6686 + 10257. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9580 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2281, -9303, -21065, -37567, -58809, -84791?\n\"Answer: -2370*k**2 + 88*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*r - 7090 = 0, 5*j - 7070 = -36*r + 34*r. List the prime factors of j.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*s - 3*b, 3*b = 4*s + b - 50. What is the highest common divisor of 117 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.72 + -0.28. Let i be (-6 - 15\/(-3))\/((-1)\/25). What is the nearest to i in t, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*c + 105*c - 224*c + 153025 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.12273?\nAnswer: 2.24546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 - 848*y**3 + 756*y**2 - 3361318?\nAnswer: -8*y**3 - 2544*y**2 + 1512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 5)*(-1 + 9). Suppose 5 = 3*n - 2*n. Calculate the highest common divisor of p and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - 4 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-588037)\/(-7) + 4\/(-14). Suppose 5*o - q = -v, 5*o = v - 70841 - 13154. Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from dcfhzfhw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3309 and -62\/579075.\nAnswer: 579075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 24*d + 12 + (-3 + 2 + 0)*(-7*d + 0*d + 0*d))*(4 - 4 + 1).\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b025 - -4?\nAnswer: -4b021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1585*b - 4029*b = -4888 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4 - 3 - 3 - 4*k + 4. Suppose 0 = 5*x + 2*z - 23 - 9, 5*z = 5*x - 25. Let a(l) = 2*l - 1. Calculate x*n(d) + 11*a(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/((-16)\/2))\/((-3)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2258*((-389245)\/(-20) + -7). Let b = 10\/1129 + r. Find the common denominator of 83\/28 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1391*t**4 + 119889*t**3 - 1021054935 with respect to t.\nAnswer: 5564*t**3 + 359667*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/350*-5)\/(3\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:52 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - j - 1260.\nAnswer: (j - 36)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-4))\/(6\/24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tablutx. Give prob of picking 2 t and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 + -7 - -16) + 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -15 + (18 - (20 - 8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 - 5*h - 7. Suppose 15 + 9 = -4*a. Is 10 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 115 = -3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001100 - -10101110110?\nAnswer: 11100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 16 = 7*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -2. Let f(r) be the third derivative of r**4\/24 + r**3 - 4*r**2. Let x be f(b). Solve x*c - 10 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -243, -486, -729, -972?\n\"Answer: -243*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 23. Let c be r(-7). Let b(w) = w**2 - 10*w + 7. Calculate b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200120110200001 (base 3) to base 7.\nAnswer: -146616505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479 is divided by 3517.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**3\/3 - 3*c**2 - 3*c - 12. Determine v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 10. Suppose a*q = 3*q - 5*o + 25, 0 = 5*q + 2*o - 10. Let v = -5956 + 5965. Sort q, -4, v in increasing order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**2 + 3*y. Determine l(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 - 4 = 0. Solve 0 = -h - 1, z*h = -0*b + 4*b + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, -2.\nAnswer: -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 27. Put o, 5, -1 in decreasing order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35760 (base 14) to base 2.\nAnswer: -11111110101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, 1 z, and 1 e when four letters picked without replacement from {p: 2, r: 3, z: 4, t: 7, e: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52703 rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73028 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**3 + x**2 - 4*x**2 - 2*x**3 + 23*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054*i = -339*i - 39445 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*x + 49*x = -134*x + 4917 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/111 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-138.5.\nAnswer: 6.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 189*j**3 - 133 - 110.\nAnswer: -189*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - b = 12, 3*b = j - 2*b - 32. Suppose j*w + 9 + 40 = 0. Suppose -6 = 2*i - i. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1024 - 163.0668.\nAnswer: 860.9332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3844 and 186.\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/14)\/(453717\/(-64162))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-5*7\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 3503?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -12. Let d be (-6)\/i*7*-1. Which is greater: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.66073ml in litres?\nAnswer: 0.09466073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1764 and 51.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(88)\/sqrt(4)*3)\/sqrt(11).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*i - 1072, 5*q - i = -4796 - 606. Round q to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 + -182. Let d = n - 59. Let a = 70 - d. Is 27 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4\/9 (c) 6331 (d) -0.3 (e) 0.2 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945527836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 3*v**2 - 2*v**2)*(-5*v + 2*v + 4*v + (-2 - 11 - 14)*(v - 9*v + v)) in the form w*v**3 + b*v**2 + c*v + s and give w.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65218 by 4953.\nAnswer: 65218\/4953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 20772674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -7\/76, 18 in decreasing order.\nAnswer: 18, -7\/76, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5*o*o**(7\/6)*o assuming o is positive.\nAnswer: o**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437 by 19.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -29, -5\/2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1052*w**3 - 2*w + 1148 - 1054*w**3 - 392 to the form g + k*w + v*w**2 + u*w**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -34?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1592, 2, 4, 2\/11, -0.2.\nAnswer: -0.2, 0.1592, 2\/11, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is 42\/154*44\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 69*q - 65. Let d be y(22). Is d equal to -1\/511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -13*p + 260, -3*p - 325 + 385 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1500 and -107\/10500?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -21. Let z be (-3)\/15 + (-52)\/x. Find the second derivative of -2*m**5 + 4*m + 2*m - z*m wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*o - 4878 = -4899, 2*u - 42 = 5*o for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - h**2 - h + 1. Let c(w) = -4*w**3 - 2*w**2 + 4*w. Let f(k) = c(k) + 3*g(k). Let v be f(-5). Put v, -4, -1 in descending order.\nAnswer: -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 - 253*l**3 - 554*l**2 wrt l.\nAnswer: -60*l**2 - 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11224.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 33. Let v = i - -37.9999915. What is v rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 824.\nAnswer: 15656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1411 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22736 by -4.\nAnswer: -5684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5 - 380*l**4 + 3642*l**3 - 7560*l**2 = 0.\nAnswer: 0, 3, 7, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(7))**2*-4.\nAnswer: -49 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19539513?\nAnswer: 3, 7, 193, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.07.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 715?\nAnswer: -1\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4519?\nAnswer: 451c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13286, -5, -12 in ascending order.\nAnswer: -12, -5, 13286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/2 - 4*f**3\/27 - f**2 + 4*f\/9 - 2. Factor j(x).\nAnswer: 2*(x - 1)*(x + 1)*(9*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/20)\/((-3)\/(-75)). Suppose 25 = t - 3*f, -14*t + h*f + 135 = -9*t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from nnniiinnniiini?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -13*z. Solve 4*d = 20, z = -0*j - j + 2*d - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-16)*-2*(-35)\/(-105).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 - 2*q**2)*(-719*q + 2172*q + 398*q - 279*q).\nAnswer: -1572*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**50*((f*f*f**0)\/f)\/f*f**9)\/((f\/f**(1\/4))**(-9)*f**(-2\/25)\/f**(2\/7)) assuming f is positive.\nAnswer: f**(-58719\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 99, -3, 9, -5, -63 in ascending order.\nAnswer: -63, -5, -3, 3, 5, 9, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1864 by -466.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11642920 and 26067.\nAnswer: 11668987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9 = 6, 0 = 22*f - 6*f + 5*i - 39 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 48*f - 225 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 + m + 1. Let y(n) = 27*n**3 + 2*n**2 + 2*n + 2. Give 2*d(r) - y(r).\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 76 = -3*y - 118, 3*y = 3*s - 552. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 31*f**4\/4 - 4*f**3\/3 + 409*f + 146. Differentiate z(v) with respect to v.\nAnswer: 93*v**2 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-148)\/48 - -3)\/((-4)\/(-12)). Sort -0.2, -5, z in descending order.\nAnswer: -0.2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1498, -9, -2, 49, -1, 0 in decreasing order.\nAnswer: 1498, 49, 0, -1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u + 24 = 0. Let l(j) = j**2 + 5*j. Let h be l(u). Let p = h - 9. Solve 3*s + p = 8*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 5 = -21*f, -2*m - 25 = -5*f. Let b(w) be the first derivative of 37\/3*w**3 + 13*w + 38 + m*w**2. What is the first derivative of b(a) wrt a?\nAnswer: 74*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 230 and 0.13.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -156, 1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4 - 18 - z + 16. Let p(d) = -4*d + 5. What is -4*p(x) + 11*w(x)?\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m + 4759 = 670*m - 18680 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123974 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7430.\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -33*p - 8. Let y be k(8). Let s = -132 - y. Is s a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14510763 to 3 decimal places.\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921537071 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**3 - 5*q**2 - q + 1. Give j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 955 - 414. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39\/188 + 2\/47. Is h < 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, 4, 270, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 6*z**2 - 2*z**2 + (2*z - 4*z + 0*z)*(3*z - 4*z + 3*z) - 5561*z**2 + 499*z + 11113*z**2 - 5554*z**2 to t*z**2 + w + c*z and give c.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 784*r**3 + r**2 + 54*r - 56. What is t(1)?\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*m - 5*y, 0 = -4*m + m - 2*y + 50. Suppose -3*s + m = -61. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126000)\/(-49000)*119\/6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 38766?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = -4*n. Suppose -3*v = -0 + n. Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 6*w**2 - 7*w - 2. What is the remainder when f(-3) is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-10 - -2)) + 0 - (-7 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 21 + 3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(5*(sqrt(11)*2 + sqrt(11) + sqrt(11)))*4)\/(sqrt(640)*1*6*-1)*-6.\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (1 + -3) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5870 - -5869.9. Which is the closest to 0? (a) -4 (b) j (c) 5 (d) -199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011001111010110 (base 2) in base 5?\nAnswer: -21131420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*o**5 + 0 - 96\/7*o**2 - 92\/7*o**3 - 20\/7*o**4 + 0*o = 0. Calculate o.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*j**2 + 9*j - 90*j**2 - 72*j**2 - 6 + 4*j as f*j**2 + m + a*j and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 34. Let l be x(22). Calculate the greatest common divisor of 370 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -14 + 12 - (1 - -12). What are the prime factors of (-102)\/l - (-3 - (-20)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 11294 = -9902 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/33 + 4\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o**3 + 217987*o**2 - 32005578 with respect to o.\nAnswer: -69*o**2 + 435974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u = 2602 - 37 + 151 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeveedeeccee. Give prob of picking 1 c, 1 e, and 1 d.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684) + 2 + 2 + (-1*sqrt(190))\/sqrt(10))**2.\nAnswer: 30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -447*q**2 + 29*q + 30. Let f be z(-1). Is f equal to -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2952430936.9 - -0.298.\nAnswer: -2952430936.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31408483483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 52440*r\/11 + 343744200\/11.\nAnswer: 2*(r + 13110)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o - 3. Let c be -2 - -2 - -1 - -3. Let q(m) be the first derivative of -m**3\/3 + 2*m**2 - 4*m + 4. Let a be q(c). Determine h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a2 + 1a0?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from selxqkq. Give prob of picking 1 x and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705640, 5645214, 19052634, 45161824, 88206708, 152421210, 242039254, 361294764?\nAnswer: 514421664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**11\/(t*t\/(t\/t**(-2\/69))) assuming t is positive.\nAnswer: t**(692\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millisecond in microseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 2*h)*(-3*h**4 - 112*h + 112*h) + (0*h - 4*h + h)*(-2 + 2*h**4 + 2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3952.4 - -3952.39999851176. What is c rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1411 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)\/x)\/(x*x*x*x*x**2\/x*x) assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 699, 2174, 4631, 8070, 12491?\n\"Answer: 491*v**2 + 2*v + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 18*c + 10. What is the remainder when x(-10) is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiwiwcwywpwi. What is prob of picking 1 c and 1 w?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 20*j + 5638. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.119 - 0.24. Let i = s + 0.12099997. Round i to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-16)*1\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(636\/15)*(70\/(-525))\/((-2)\/(-3))?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62070, -61844, -61378, -60552, -59246, -57340, -54714, -51248?\n\"Answer: 20*t**3 + 86*t - 62176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4976 = -14*d + 22*d. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000205943853 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157792 and 2112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.9 and 4567199.\nAnswer: 4567186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*j + 11*j - 16*j to v*j + u and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*m - f + 13, f - 4 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*o**2 - 31*o**2 - 37*o**2)*(13*o**2 + 16*o**2 + 12*o**2) in the form q*o + y*o**3 + j + t*o**2 + h*o**4 and give h.\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7065.477 years?\nAnswer: 706.5477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703969 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6026 + -514?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59339350 - -88649350. What is c rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h - 5. Let b be f(-6). Suppose -56*o - 59*o - 1599 = -128*o. Suppose 14*n - o = b*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102923050*y - 274171101 wrt y?\nAnswer: 102923050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121101302300 - -12?\nAnswer: 121101302312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 9*h - 7. Let u be p(-1). Which is the closest to u? (a) -1\/3 (b) 7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54876 and 2076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602410?\nAnswer: 2, 5, 107, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1089 + 1104 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:08 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 12108*m - 12275*m + 3*m**2 + 14 + 22.\nAnswer: 3*m**2 - 24383*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(96\/(-528)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211121111201 + -1221?\nAnswer: 211121102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*s + 24683 + 66317 = -161*s. What is the greatest common factor of 3680 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-162)\/(-36) - (-2)\/(-4). Suppose 2*u - t = -2*u + 124, -c*u + 140 = -5*t. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q**3 - 4*q + 13. What is a(2)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/76 and -47\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 98 - 340 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 3706.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 6. Suppose -m + 6 = -x, h*x + 4*m = x + 12. Let p(g) = g**3 + 3*g**2 + g. Calculate the least common multiple of 14 and p(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214067201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9)*h)**13 assuming h is positive.\nAnswer: h**(260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m. Suppose 3*a - 2*f - 231 = 0, m = -4*a - f + 174 + 134. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/204347357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5, 0*o + 2*o = -3*v - 1. Let d(k) = k. Let m(t) be the first derivative of t - 452. Calculate v*d(g) + 3*m(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40755531 is divided by 733?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)\/((-15)\/(-150)). List the prime factors of (5\/(100\/105))\/(1\/o).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5*(4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(97*c**3 + 104*c**3 - 103*c**3) + c**3 + 2*c**3 - c**3 as o*c + d + t*c**3 + b*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.244 + 11.7888. Round k to one decimal place.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.27 times -3?\nAnswer: -99.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:02 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6191559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 6*w - 11*w - 2*f, 4*f = -2*w + 28. Solve -42*r = -46*r - w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -3*(-119)\/84.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*m*s + 146091*k*m + 2227*k*s + 27*m*s + 26*m - 258021*s wrt k?\nAnswer: m*s + 146091*m + 2227*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7600)\/285*(-9)\/(-6) - -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d**2. Let k be z(-2). What is the units digit of 33\/(2 + -1) - k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/18 - k**3\/9 - 6*k - 2. Let a(m) be the first derivative of h(m). Factor a(y).\nAnswer: -2*y*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-285)*((-20)\/26)\/(-7*(-24)\/546)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -169066352 divided by -166?\nAnswer: 1018472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 - 249*o**2 + 5289*o - 5043 = 0. What is o?\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 135 (b) -0.2 (c) 3 (d) -37\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 12087.\nAnswer: 12087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 69*u**2 - 19*u - 18. Give w(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372718 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111000011011010 + 1010110?\nAnswer: -10010111000010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 678\/19945 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 843, 1679, 2511, 3339, 4163, 4983, 5799?\n\"Answer: -2*f**2 + 842*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 + 7*b - 159. What is k(10)?\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 15*k + 4. Let o be p(-15). Suppose 0 = -o*d, 0 = 2*n - 5*d - 12. Is (n\/(-9) + 2)\/((-3)\/(-72)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 420 = -10*z. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*i**3 - 6*i + 1.\nAnswer: -702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/13026 and 61\/814125?\nAnswer: 1628250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - 123113311?\nAnswer: -123120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23.00000055. What is h rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 120. Suppose -5*w = -5*t - a, 1 - 5 = 4*t. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 94, 5?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 78 + 158 + 15*j.\nAnswer: 15*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7672 - 7679. Sort -332, 5, 2\/5, z, 0.3.\nAnswer: -332, z, 0.3, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*(-17)\/(328440\/(-315)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*w + m, -3*m = -w + 31 - 10. Suppose 2*h = -3*f + w + 9, -f + 23 = -5*h. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436449737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2718520*n**2 + 5 - 7.\nAnswer: -2718520*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let f be (24\/5)\/(j\/5). What is the units digit of f\/(-1) + 3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p - 4*v + 6, 3*p + 3*v - 27 = 0. Suppose 0*f - 5*c - 925 = -p*f, -3*f - 4*c = -520. Calculate the highest common factor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324809 is divided by 225?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q + 11 = -3*l, -5*q + 4*l = -40. Solve -q*h = 2*n - 3*n + 6, 3 = n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q - 4*d + 8 = 0, -q + 3*d + 4 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987 divided by -594?\nAnswer: 1987\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*i - 8*i - 64 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.5 (b) 1\/2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.1, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {y: 2, m: 4, e: 4, b: 1, v: 1, c: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4500)\/(-2) - ((-36)\/(-18) + 5 + -1). Calculate the greatest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 120*h - 23. Is k(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1155*s**5 - s**4 + s**3 - 24363*s**2 - 25*s + 3 wrt s?\nAnswer: 69300*s**2 - 24*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/7 + 428*v**3\/7 + 57600*v**2\/7 + 270000*v - 74250000\/7.\nAnswer: (v - 22)*(v + 150)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6545 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026257 to the power of 1\/2, to the nearest integer?\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -408503 or -408565?\nAnswer: -408503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -137, 27, -1.\nAnswer: -137, -1, 27, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4687.066 centuries in decades?\nAnswer: 46870.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:30 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*n - 7 = 0, -3*n + 4*n = -2. What is the greatest common factor of b and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14230\/129 or -111?\nAnswer: -14230\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let r = 12 - t. Let g = r - 7. Solve -g*x + 29 = 5*p, -7*p + 2*p = x - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32738*o*y**3 + 11*o*y**2 + 2*o*y - 22*y**3 + 2*y**2 - 3192355*y wrt y?\nAnswer: -196428*o*y + 22*o - 132*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 16*i + 372 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/793434 and 55\/9366?\nAnswer: 5554038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.3 (b) -21\/5 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 546.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1330 and 2043920.\nAnswer: 271841360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let u be 0 - 1*2*s. Let x(j) = j + 2. What is the units digit of x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48610186 and 326.\nAnswer: 48610186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -7, -2, 14, -72 in ascending order.\nAnswer: -103, -72, -7, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81156 is divided by 534.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11702, -9562, -3702, 7738, 26618, 54798, 94138?\n\"Answer: 310*m**3 - 30*m - 11982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n. Let z(t) = 25*t + 33. Determine z(c(p)).\nAnswer: -200*p + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.038396 take away -0.6?\nAnswer: -37.438396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 1. Let b(v) be the first derivative of v**2\/2 + v + 2. Let t(g) = -4*g - 3. Let k(a) = -3*b(a) - t(a). Determine -k(o) - q(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + q = -48782, 115*q = 5*z + 116*q - 121969. List the prime factors of z.\nAnswer: 3, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905784 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.054 - -6.946. Put 0.3, 4, o in ascending order.\nAnswer: 0.3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 75 + 396*r**2 - 69.\nAnswer: 396*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 0*q)*(-5 + 4 - 1) + 37*q + 53*q - 31*q + 2*q + 2*q - 2*q + (-6 + 4 + 0)*(q + 4 - 4) - 3*q + q + 0*q.\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -24500\/27?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011 + 10010000010?\nAnswer: 10011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - b + 2*b**2 - 2*b**5 + (1 + b**3 - 1)*(5*b**2 - 4*b**2 + 0*b**2) - 3*b**5 - b**3 + b**3 + (7*b**3 - 15*b + 15*b)*(3*b**2 + 0*b**2 + 2*b**2).\nAnswer: 31*b**5 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.7, 3\/8, 5, -4\/33, -0.2?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/364*7 + (-222)\/(-156). Let c(t) be the second derivative of 0*t**3 + 0*t**4 - 3\/10*t**5 + 0 + d*t**2 + 9*t. Differentiate c(h) with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**3 - 23*h**2 - 6. Let d(s) be the first derivative of 7*s**4\/4 - 8*s**3\/3 - 2*s - 11. What is -6*b(j) + 17*d(j)?\nAnswer: -j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.99647 + -0.00353. Let t be ((-2)\/10)\/((-9)\/(-15)). Which is the closest to -36? (a) t (b) -4\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 0 + (-9)\/(-3). Suppose u = -3*g + 681 - 48. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*l*n - 1883501*b**2*l + 176*b**2*n + 2611*l*n wrt n?\nAnswer: b**2*l + 176*b**2 + 2611*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9299.765ml to litres.\nAnswer: 9.299765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55037*c**3 + 20073*c**3 + 445*c**3 - 71593*c**3.\nAnswer: -106112*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 8) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35885, -72764, -109643, -146522, -183401, -220280?\n\"Answer: -36879*o + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 (base 10) in base 15?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 276486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294 (base 10) to base 7.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -3*c + 2310. Calculate the remainder when c is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103467*r**3*z**2 - 3*r**3*z + 18*r**2*z + 30*r**2 + 9*z + 1 wrt z?\nAnswer: -206934*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 + 149. Factor -179*h**2 + u + 181*h**2 + 21 - 20*h.\nAnswer: 2*(h - 8)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y - 1. Let r = 33 - 30. Let x be z(r). Suppose 0 = -2*v - 5*c + 1575, x*v + c = -140 + 1711. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 0.020193?\nAnswer: 0.320193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 58191 = 16791. Calculate the highest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/((sqrt(9)*-4 - sqrt(9))*-6))\/((-2*(sqrt(6)*-3 + sqrt(6)))\/sqrt(2))*-2.\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 7\/(-2))*0. Suppose 5*r - 40 - 10 = -4*m, w = 5*r - 10. What is the greatest common factor of m and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*x = -1 + 29, 4*x = 2*q + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 239. Let s = z - -180. Which is the nearest to s? (a) 2\/17 (b) 7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*31\/((-1364)\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.3, -0.06 in increasing order.\nAnswer: -0.06, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31*a + 258. Let c be r(8). Suppose 40 = 4*x - 20. What is the greatest common divisor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 26 - 55 + 29)*(k - 4*k + 4*k) in the form r*k + x*k**2 + f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10240 - 7790 - 4080 + 6534 = 236*k for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 - j - 7. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -17*w + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224752 is divided by 322.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w + 19. Calculate the remainder when k(0) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48844 - 28557. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -63. Let z = a + -39. Suppose 2*n = 4*t - 32, 3*t - 3*n + 14 - 44 = z. Calculate the least common multiple of 42 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (8 - (-11 - (1 + -13)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1014400421?\nAnswer: -1014400424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8 - 6*h + 2 - 7 + 10. Let f be (12\/10)\/(15\/(-75)). List the prime factors of o(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 5. Suppose 2*r + 3*q + 267 = 6*r, -3*r + 3*q + 204 = 0. Let i be r\/(-6)*(-2)\/(-3). Let p = 2 + i. Give o(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189.18571 to zero dps.\nAnswer: -1189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*x - 167491 - 20189 = 1657*x + 384*x for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-10)*(-20)\/(-3). Let r(a) = -4*a**3 + 5*a**2 + 6. Let v(z) = -11*z**3 + 15*z**2 + 18. Let g(c) = j*r(c) + 3*v(c). Give g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16299832 divided by -8.\nAnswer: 2037479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 1. Let p(v) = -1. Let k(w) = -b(w) + 4*p(w). Let r be k(4). Suppose 0 = 5*f - 34 - r. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = 3*t - 40*k + 5, 36*k = -17*t + 7*t - 94 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - (-6 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 359 - 0?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k + 6. Let z(v) = -36*v - 21. Let h(m) = 11*y(m) + 3*z(m). Calculate h(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*r - 10, 37*r = s + 38*r - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + (sqrt(136)\/sqrt(72))**2.\nAnswer: 17\/9 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 4*j**2 - j - 1. Let g(n) = -n**2. What is -f(q) + 4*g(q)?\nAnswer: -4*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = -3*v - 2*v, -v - 6 = 2*o. Which is the nearest to v? (a) 3 (b) -3\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/33*-9*-1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = 13. Suppose -3*j - 4*h - 5 = -3*h, 2*j + 5*h = 14. Put 0, j, p, -4 in descending order.\nAnswer: 0, j, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5888, -24269, -54898, -97769, -152876, -220213, -299774, -391553?\n\"Answer: o**3 - 6130*o**2 + 2*o + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -411363375266 minus 0.0264?\nAnswer: -411363375266.0264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h = -91*h + 12. Solve 0 = -h*p + 2*v + 19, -2*v = 3*p - v - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = -3*q, -3*q + q = -3*y + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -9 (b) -1\/2 (c) 0.4 (d) -5 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*3.5\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 4 = 13*y. What is the tens digit of y\/(-60)*5 + (-749)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 + 17 = 0, 3*b + 4*p = 35. Let c(g) = g**2 + g - 13. Give c(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -50 - 10. Suppose 0 = -4*z - 4*n + 28, -4*z = -5*n + o - 4. Suppose -z*m = -4374 + 64374. Round m to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(245\/(-392))\/(10\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012202 + 100111?\nAnswer: -12212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1970 + 102429\/52. Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/19)\/((h*h\/h**(-12)*h)\/h)*h**14\/h**(-3\/11) assuming h is positive.\nAnswer: h**(46\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 16*c + 112 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192891037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {s: 5, f: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let b be (-6)\/n + (-46)\/(-2). Let q = b + -14. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1412*0.12\nAnswer: -169.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Is b(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/7)*g*g)\/g**(-2\/3))\/(g**(1\/5)\/g*g*g**0))**(4\/9) assuming g is positive.\nAnswer: g**(1156\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**2 + 26594*t - 1. Let w(q) = 3*q**2. Calculate y(w(i)).\nAnswer: 144*i**4 + 79782*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -106*f**3 - 2*f**2 + 2*f + 3. Let o be g(-1). Let a(z) = -13*z - 2. Let u be a(2). Let i = u + o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 209 + 169 = 0. What is the remainder when 553 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - d**2 + 224 - 109 - 115.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*m**5 - 10593573*m**3 + 5863*m + 78604 wrt m?\nAnswer: 400*m**3 - 63561438*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 1, 10*x + 10*x - 19 = 22*x + 11*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8*c - 3*c = 20, c = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9222770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111021 (base 3) to base 11.\nAnswer: -4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1503171um in kilometers?\nAnswer: 0.0000000001503171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 2499 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 19740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:19 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12639.008199 + 12639. What is n rounded to 4 decimal places?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136881 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4524)\/(-145)*10\/3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053087 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -9412?\nAnswer: -9414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2698052633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 6\/11, 6\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37309903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*c + 2*c + 2, -4*s - 3*c = 25. Let p = 38 - 94. Is (-4216)\/p - s\/(-14) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155cb8 (base 16) in base 12?\nAnswer: 576220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339931608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -135*q - 170. Let h(f) = -15*f - 19. Let p(l) = -55*h(l) + 6*o(l). What is the first derivative of p(z) wrt z?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 124. Solve 0 = -0*i + 2*i - k*s + 6, -5*i - 15 = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 43. Let j = -23 + 7. Let s = u - j. Which is the closest to 1? (a) s (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 488.345 - 689.9. Round l to 0 decimal places.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27522034.\nAnswer: 2, 983, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -110*m**2. Let b(d) = -40*d + 1. What is t(b(g))?\nAnswer: -176000*g**2 + 8800*g - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + i = -535, 2*b = -3*b + 5*i + 875. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 + n**4\/8 - n**3\/3 - 3*n**2. Let m(h) = -h + 2. Let d be m(-2). Suppose -i = d*i - 20. What is g(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 - 11023?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6938.9 + -6938.899948589. What is x rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1083, -2181, -3289, -4407, -5535?\nAnswer: -6673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22273.\nAnswer: 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3276*j**3 + 909*j**2 + 2220*j**3 + 503*j**2 - j wrt j?\nAnswer: -6336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, i: 6, j: 4}. What is prob of picking 2 j?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-40)*-4*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*2\/(-8))\/((-2)\/(-12)). Is (-139)\/((c\/(-9))\/(20\/12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 - m - 2. Let w be i(-6). Solve 0 = w*s + 4*u - 12, -3*s + u - 5 - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:44 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 - 928 = -5*o. Let c be o\/30 - 1\/(-5). Find the third derivative of c*r**2 - 12*r**2 + 4 - 4 + 8*r**6 wrt r.\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33860 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9374 and 4?\nAnswer: -37496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14459624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:10 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12363, 12576, 12789, 13002, 13215?\nAnswer: 13428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:59 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 28861613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-5))\/(546\/390))\/((-1)\/28*-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/6)\/(3 + (-49)\/28). Suppose -q*a = -91 - 125. Calculate the highest common divisor of a and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.01 (b) 0.3 (c) -6\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-130)*(-272)\/1224.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -491\/30 - -47\/3. Calculate the common denominator of (-5)\/(-6)*(-16)\/50*10560\/(-1716) and p.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z\/(z**2\/z)*z**(-2\/7)\/(z*z\/(z\/(z*z*z**(-1\/7)*z))*z*z))**(-2\/37) assuming z is positive.\nAnswer: z**(86\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24500958 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -360 * -0.2\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9077 and 1.\nAnswer: 0.9077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 45 = 0, -72*l + 54 = 4*b - 74*l for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v + 1. Let h be l(4). Find a, given that 4*a**3 + 2*a**5 - 6*a**h + 8*a**4 - 8*a**2 - 4*a**3 + 4*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 8 = 3*f + 2*g, -5*g = 2*f - 8. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**1)\/m)**(2\/39)*(m**(2\/3))**(17\/5))**(-1\/4) assuming m is positive.\nAnswer: m**(-77\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*x - 27, x = 5*z - z - 134. Let m = -29 - -79. Let w = m - z. What is the greatest common divisor of w and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q - 4. Let j(f) = 30*f**2 + 1. Let l be j(q). Suppose l = g - 4. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-882\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460 (base 10) in base 9?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5159 - 687. Does 43 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0273? (a) -0.4 (b) -0.2 (c) 0.2 (d) 6 (e) 0.8 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h**2 + 0*h**2 - 26*h**2)*(-6 - 2 - 5 - 2*h).\nAnswer: 88*h**3 + 572*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + (-3356)\/(-36). Suppose -5*h + 2*h + t = 0. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 32*m. Let h(t) be the first derivative of t**5\/40 - 17*t**3\/3 + 8. Let f(q) be the third derivative of h(q). What is w(f(n))?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbkbbbb. Give prob of picking 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91 and 808429.\nAnswer: 73567039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11345 is divided by 3482.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 9697616\nAnswer: 1\/4848808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.206 + 5.206. Is z at most 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 149. Let b = 386 - m. Let k = 750 - b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/((-135)\/10))\/((-14)\/3185511) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Let s be m(0). Let q = 103\/189 + -7\/27. Which is the closest to s? (a) -5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6697974?\nAnswer: 2, 3, 1116329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/13)*v**18*v**(-5\/3)*v\/(v*v**(-9)\/v*v)*v assuming v is positive.\nAnswer: v**(1039\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/388384 and 79\/9328.\nAnswer: 4272224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 15*c + 17 = 10*c + c - 6*k, 4*c + 5*k = -11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 15) to base 16\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-4)*((-6)\/7)\/(((-2700)\/672)\/(-15))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/(((-4)\/(-468))\/((-4)\/(-18))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -196\/727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*548\/4. Let l = v + 71. Let x = l + 159. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/112)\/(3\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302120 and 2180.\nAnswer: 32931080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6920, -6918, -6904, -6872, -6816?\n\"Answer: o**3 - 5*o - 6916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:32 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2513196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 566, 5291, 18106, 43055, 84182?\n\"Answer: 674*v**3 + v**2 + 4*v - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*f + 48*f + 126 - 15*f)*(f**2 + f**2 - 3*f**2) + (3*f - 2*f - 3*f)*(4*f**2 - 3*f**2 - 4*f**2).\nAnswer: 10*f**3 - 126*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = 81 - 7 + 31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Suppose 2*u + 27 = 5*z, -t*u = 4 - 1. Suppose -2*k + 3*b + 71 = 0, z*k - 4*b - 94 = 94. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4685?\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 46. Suppose -3*l = -2*z + 142, 5*z - 3*z = -3*l - 146. Calculate the lowest common multiple of (l\/4 + 0)*-1 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2999 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*m = o + 62, 9*o - 3*m + m + 18 = 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -876.2 - -876. Put t, -1\/8, 0, 1\/8 in ascending order.\nAnswer: t, -1\/8, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4 - 4368\/(-1001)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 241211155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 488687.7ng in tonnes?\nAnswer: 0.0000000004886877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/83 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 7*f - 5. Let v = -13 + 13. Suppose 8*g - 18 - 38 = v. Give z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-63 + 8)*((-4 - 2) + -169).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 6:22 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*v = 3*v - 2*v + 2*v - 15, -3*v = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.420618 rounded to three dps?\nAnswer: -0.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Let o be (-2 - -50) + n + -8. Suppose 0*h = h - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 3*h**8\/112 + 13*h**4\/24 + 9*h**2. What is the second derivative of r(a) wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = -3*z. Let l = 39 - z. Let w be l + -5 + 2 - 1. What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1207 - -8316124\nAnswer: 8314917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*q + 2 - 324*q + 2901*q.\nAnswer: 3354*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y, 5*h + 3*y + 138 = 2*y. Let x = 75 + h. Does 47 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2813, 2193, 1159, -289, -2151, -4427?\n\"Answer: -207*a**2 + a + 3019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/20 + n**4 + n**3\/6 + 8*n**2 + 2*n. Let d be u(-12). What is the common denominator of 76\/9 and (d\/((-48)\/250))\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -1679 + 1104 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -13*r + 5*r. Suppose 0 = -2*s - 6 - 6. Let d = r - s. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-210))\/((-140)\/1715)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -126*n - 5. Suppose 0 = 3*k + p - 2*p - 10, 0 = -3*k + 5*p + 2. Suppose -2*v - 6 = k*v. What is the units digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 13*y + 53. Let s be c(-8). Solve -3 = -4*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449.475 - -450. Let s = b - -0.475. What is the fourth biggest value in 4, 3, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*s, -16*s - 2*u = -16*s - 2*s + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 8. Let y = -2 + a. Let 7*p**y + 0*p - 7*p**3 - 2*p + 2*p**2 = 0. Calculate p.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -27, 20, 85?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d**(-1\/34) assuming d is positive.\nAnswer: d**(-67\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 40*d**2 - 6*d - 439. Determine q(-40).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3229*k + 2*k**3 + 76 - 6 - 3231*k)*(-4 + 4 - k) to the form z*k + b*k**3 + h + n*k**4 + y*k**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 5*a**2 - a**2 + (-27*a + 650*a + 560*a)*(-a - 2 + 2).\nAnswer: -1187*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 414 = -5*k - 4*w, 0 = k + 3*w - 208. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*4\/(-12) + -2 + 190. What is the third derivative of 299*l**3 - n*l**4 - 299*l**3 - l**2 + 8 + 4*l**2 wrt l?\nAnswer: -4488*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 5*x + 18, 5*x = -3*o + 34. Suppose -o*n - 687 = -16*n. Calculate the remainder when n is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1864\/((-4)\/1 + 2). Let t = z + 2825\/3. What is the nearest to 0.1 in t, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3.09, -2\/15, 0.5, -0.9, -9\/7, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1414, 5660, 12744, 22672, 35450, 51084, 69580?\n\"Answer: n**3 + 1413*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 15 + 118*w**2 - 111*w**2)*(2 + 3 - 3) to m*w + o*w**2 + u and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:19 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 3*t - t**2 + 1 - 5*t - t. Let v be i(-5). Let o = -2 + v. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 7*i + 14. Calculate the remainder when 41 is divided by u(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1 = 11. Let t = -246 - -245. Let i be t - -3*(-4)\/12. Put q, 0, i, 0.03 in descending order.\nAnswer: 0.03, 0, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5773236 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*(-7 - (-5 - -2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1747697372 divided by -4\nAnswer: 436924343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004944807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11386520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 177.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.2, -0.5, 4\/7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 27. What is the third smallest value in 5, o, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5275*c + 5275*c - 302*c**2.\nAnswer: -302*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3144 - -44?\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 a factor of 210869145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d + 11. Suppose 4*k - 49 = -55*t + 60*t, 2*k - 12 = 0. What is u(t)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 363*2*(44\/(-8) - -5). Let d = -2901\/8 - y. What is the nearest to 0.1 in d, -1\/12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15475\/96 - -5425\/32. Solve -5\/3*y**3 + 70\/3 - k*y - 40\/3*y**2 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 - 6*j - 3. Let p be g(-4). Let m(v) be the first derivative of -v**4\/4 + 2*v**3 + 3*v**2 - 1. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/b)**(-25\/3)\/(b\/(b\/(b*b**1))*b)**(2\/45) assuming b is positive.\nAnswer: b**(-131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 39879.\nAnswer: 159516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**18\/r)\/r)\/(r\/((r**18*r)\/r*r)*r) assuming r is positive.\nAnswer: r**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose 2*o - 15 = -r*o. Let a be 10\/4*(1 - -1). Solve 3*z + 3*k + 2 = a*k, -k + 4 = -o*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, 2, -283, 900.\nAnswer: -283, -4, -2, 0, 2, 900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12240 by 3060.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 707046049632.\nAnswer: -707046049633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -35*d**3\/3 + 855. Let k(t) = 1 - 2*t - 2 + 1. Give g(k(u)).\nAnswer: -140*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2938791, 2938907, 2939023, 2939139, 2939255, 2939371?\nAnswer: 2939487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -33. Let l(r) = -r**3 + 5*r**2 - r + 1. Let i be l(q). Let f(n) = -n**3 + 14*n**2 - 13*n + 3. Let w be f(i). Solve 0 = -w*k - 0*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1478417?\nAnswer: 7\/1478417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {s: 1, z: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 820. Let d = o - 1478\/9. Which is the biggest value? (a) d (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 4*f - 220. Let r be 8\/44 - 520\/f. Calculate the greatest common divisor of r and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.83 and -23299995901?\nAnswer: 23299995903.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -563*d + 628*d - 44005. Calculate the remainder when d is divided by 172.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -3 (c) -489.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let k(s) = 93*s**2 + 80 - 108*s**2 - 81. What is k(f(q))?\nAnswer: -15*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, -2\/5, -1\/8, -3034, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0075 - 0.1335. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391339, -782917, -1174497, -1566079, -1957663, -2349249, -2740837?\nAnswer: -3132427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-46) + 4760\/(-10304). Let j(r) = r + 15. Let v be j(-12). Which is the smallest value? (a) 0.2 (b) v (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 34. Let o = 37 + -23. Solve 2*a = -5*n + h, 0*n + a = 3*n - o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -3\/4, 1\/4, -2\/29?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 43042326454774.\nAnswer: 43042326454773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -352476*l - 187370 wrt l.\nAnswer: -352476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:19 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 254\/12 + (5 - (-93)\/(-18)). Let r = 29 - w. What is the highest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r\/(r*r*r**(-2\/11)))\/r*r*(r*r**(-14)*r)\/r*(r\/(r**3*r*r))\/r**15 assuming r is positive.\nAnswer: r**(-339\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*d**2 + 60*d**2 - 39*d**2 + 90*d + 118*d.\nAnswer: 4*d*(d + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810344903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132.5 + 0.3.\nAnswer: 132.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404309663?\nAnswer: 23, 17578681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2803.87 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3135635.89999965 - 3135636. Let n = d + 0.1. Round n to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 10 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -k + 62, 4*k - 172 = -3*j. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and -83\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -636405 divided by -15\nAnswer: 42427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/205 (b) 52.8 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -w + 5, -4*x = -w - 18 - 1. Let n = 7 - 6.6. What is the third biggest value in w, -0.12, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19 - -17477658.9.\nAnswer: 17477658.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from yyccycyyccyc.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-364)\/65*-20 - (-8 - -1) is divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26073*d**4 + 2*d**3 - 62461.\nAnswer: 104292*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.087. Let d = 0.01238 + a. Round d to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684772 is divided by 684708.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:44 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 240.2 and -0.14.\nAnswer: 240.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -519.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.89 - -0.803. Round g to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 339356768*c - 7197688499212864 = 0. Calculate c.\nAnswer: -42419596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 16*s - 82. Let k be g(-4). Let i = -6 + 7. Which is the closest to 0? (a) k (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*z - 2 + 35, 3*m + 4*z - 23 = 0. Suppose 2*d + 11 - 1 = 0. Sort d, 1, m.\nAnswer: d, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.1 + 2. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -14. Let l = 12.5 - v. Let g = 1.18 + 3.82. Which is the closest to -0.1? (a) -1\/5 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/2 + 2*s**4 + 5*s**3 - 14*s**2 + 15*s\/2 = 0. What is s?\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*c + 8*c - 44*c)*(2 - 2 - c)*(5*c - 4*c + 0*c) + 2*c**3 - 2 + 2 + (2*c**2 + 1 - 1)*(-2*c - c + c).\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrerdseeedeerest. Give prob of picking 2 e and 1 d.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 126790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 2, 15\/25094 in descending order.\nAnswer: 2, 15\/25094, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**18*p\/p**(-2\/3)*(p**(-21)\/p)\/((p**(14\/3)\/p)\/p) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 4 + -5 + (8 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2143186 (base 9) to base 11.\nAnswer: 716449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (2 + 1618\/15). Let s = -109 - d. Let i = -0.095 - -0.195. Which is the third biggest value? (a) s (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340037133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -450*d + 49. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/3 - 77*h**4\/3 - 13*h**3.\nAnswer: h**3*(h - 39)*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -178439.68 minus 0.0847216?\nAnswer: -178439.7647216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 35*b**2 - 5*b - 177. Let p be d(-35). Is 7\/p*(-65502)\/63 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 191.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*q - 2*q - q)*(-6 - 3 - 3)*(-4 + 4 - q) to the form p + d*q + k*q**2 and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437 - -473. Calculate the greatest common divisor of q and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 4*m + 4. Let k(t) = 7*t**2 + 9*t + 9. Let q(g) = -4*k(g) + 9*x(g). Let o(r) = 4*r**2 - 4*r**2 - r**2. Give o(q(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1718354 times -658\nAnswer: 113.0676932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4153 - 0.4153. Which is the closest to -10? (a) -51 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-24)*(-24)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/2 - 59*t**4\/2 + 567*t**3 - 3220*t**2 - 7600*t + 24000.\nAnswer: (t - 20)**3*(t - 2)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 360 = -5*k. What is the highest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -399, -426, -451, -474, -495?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167328737 and -493?\nAnswer: 167329230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19694 - -351?\nAnswer: 19a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7740 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 5*i**4 + 2*i**4)*(-49 - 27 + 21 - 61).\nAnswer: 116*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26546, 26394, 26256, 26138, 26046?\n\"Answer: f**3 + f**2 - 162*f + 26706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*a = 232*a - 70 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from {f: 16, j: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6093 and 1062?\nAnswer: 718974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -32 + g**2 - 2*g + 8 + 136. Let m be k(0). Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let m = -14.64 + 10.6. Let x = 0.04 + m. Which is the nearest to -1? (a) x (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/6)*w**(2\/11)*w\/(w\/(w*w**(1\/4)))*w**7)\/((w**(-5)*w*w\/(w*w*w\/w**(-1\/5)*w*w))\/((w**(-3)\/w)\/(((w*w**(1\/2))\/w*w)\/w))) assuming w is positive.\nAnswer: w**(8557\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5918775821 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4 = -2*l + 22, -14*l + 21*l + 6 = 4*l for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/1107*37\/(-74)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -19. Suppose 8*h = -n + 100. Let s(j) = j**3 - 10*j**2 - 10*j - 5. Calculate s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34916249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, n: 1, j: 1, d: 5}. What is prob of picking 1 n, 1 r, 1 d, and 1 j?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15288?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 359, 360, 361, 362, 363?\n\"Answer: b + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5634818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from {m: 3, u: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -8. Suppose -g + n = -5*m - 269, 0 = 4*g - 3*m - 1029. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -247*u**5\/120 + u**4\/4 + 5*u**3\/3 - 21*u**2. Let k(w) be the first derivative of v(w). Is k(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 12, s: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11939 + -4181. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -61, -62, -65?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {l: 1, v: 4, m: 1, j: 2, d: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 14 + 50 - y)*(-y + 0*y - 2*y).\nAnswer: 3*y**2 - 258*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Let r = 2 + k. Let q = 7 + r. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 748806 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52134*u + 52134*u + 575*u**3)*(2 - 2 + 1)*(3 + 3 - 3).\nAnswer: 1725*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -46*w**2. Let k(a) = 5*a**2. Calculate y(k(r)).\nAnswer: -1150*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11527.851454 rounded to the nearest ten?\nAnswer: -11530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -562b + -5?\nAnswer: -5630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or 2639\/33?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:36 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1318*r**2 + 2107*r**2 - 1 + 1436*r**2 as v + i*r + u*r**2 and give u.\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let a(v) = 2*v - 48. Give -a(c) - 10*x(c).\nAnswer: -2*c + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 2 = 16*c. List the prime factors of -1*c*(-772)\/16*4.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 12*b**2 + 30*b - 16. Determine q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 47*q**2 + 587*q - 34. Let f be t(19). What is the greatest common factor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.5, 2\/7, 4\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 30, 140, 378, 792, 1430?\nAnswer: 2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1156 + 3179 + 5514 + 1006)*(-2*w**2 + 2 - 2).\nAnswer: -21710*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 - 7*m - 5. Let s(n) be the first derivative of n**4\/4 + n**3\/3 + 2*n**2 + 3*n - 10. Calculate -5*s(o) - 3*x(o).\nAnswer: -2*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327045743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3597093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:01 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -316519, 2, 1, 4 in decreasing order.\nAnswer: 4, 2, 1, -316519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*-1)\/((sqrt(24)*2)\/sqrt(6)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**3 + 0*i**6 + 38*i + 1\/5*i**5 - 1\/6*i**4 + i**2 - 3\/56*i**8 + 2 + 0*i**7. What is the third derivative of h(a) wrt a?\nAnswer: -360*a**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.24329 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 372936256 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 80. Suppose -s - 11 = -u. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let w(b) = b**3 - 2*b**2 - 15*b + 5. Let q be w(5). Let a(z) = -6817 + 6817 + q*z**2. Give a(s(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -386 + 386.0436. What is l rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4276 + 4355 - 8643 + d.\nAnswer: d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzh when three letters picked without replacement from {h: 1, x: 4, y: 2, z: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvwvvvvvvwvvwvvvv. Give prob of sequence vvwv.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/119 + (-680)\/(-14). Suppose -2*g - 2*t + 2 = 0, -4*g + 14*t - 9*t + b = 0. Suppose g*j = -j + 490. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/4 - 5\/(-20). Suppose -3*c + 2*c + x = 0. Let l(g) = -g + 3. Calculate the smallest common multiple of c and l(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 851476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 752*s**2 + 10*s - 29?\nAnswer: 1504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3\/2*l**2 + 0*l**3 + 0*l - 3\/4*l**4 - 1. What is the second derivative of u(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.532*0.02.\nAnswer: 0.01064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.2 and 0.0431437687.\nAnswer: 2.2431437687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 43*m = 124. What is the units digit of 19308\/48 + (3 - (-13)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 2*j + 3. Let d be q(2). Solve d = -x - 4*s - 6, -3*x = -4*s + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137856\/(-2513) - (-15)\/(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - h - 21 = 0, -10*h = -5*r - 5*h + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -79*j**3 - 3*j**2 + 6*j. Let x be d(-13). Let y = x - 101978. Round y to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 391\/371 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.54 + 4.46. Which is the third smallest value? (a) 0 (b) p (c) 4\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 + -0.03. Let g = 7 + -3. Let o = 0 + -3. What is the nearest to 0 in g, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0354750693 * 2\nAnswer: -0.0709501386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 67*d - 15 - 75*d + 15. Let j(m) = -21*m**2. What is j(u(o))?\nAnswer: -1344*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23873 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, w: 4, y: 1, i: 3, v: 2, j: 3}. Give prob of sequence vy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.8422 litres?\nAnswer: 75842.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n = -20*n - 3*n + 513 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-210)\/(-7))\/(-30))\/21)\/(1*(-2)\/2).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5085368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 15*c**2 - 11*c + 10. Give t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12333.025 to the nearest 10.\nAnswer: -12330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**3\/2 + 5*x**2\/2 - 2*x + 2. Calculate p(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1638)\/364*962\/(-117)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 6*b - 51 = 0. Let i = b - -82. Find the second derivative of -i*u**2 - 9*u**5 + 19*u**2 + 12*u**2 + 11*u wrt u.\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*r - 6, 9138*h + r - 2 = 9134*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.1? (a) 0.5 (b) 11 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44693060 divided by -3070\nAnswer: -14558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/5 + 136*i\/5 = 0.\nAnswer: 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.67952 to zero decimal places.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2) + 15 + 2500 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 21002042?\nAnswer: -21002043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 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: Sum 21293967.33 and -327.9.\nAnswer: 21293639.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 213214.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58740557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(243) + 0) + 5.\nAnswer: 5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 6*k + 5. Let n(f) = 12*f + 76. Let s be n(-6). Suppose -2*v - 3*v = -p - s, p = 3*v. What is x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60408.\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24219540*z + 3*z**2 + 24219540*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a + 906 + 254 = 0. Let r be (-10)\/a + 2652\/72. Suppose 64\/3 + 16*n**2 + 4\/3*n**3 - r*n - 4\/3*n**4 = 0. Calculate n.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 + 307. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1047 = -252. Let f = o - -130. Let j = 73 - f. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51232430641 and -11.\nAnswer: -51232430652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-2 + 1 + 3)*(30 - 9 - 11)*(49*n - 127*n + 417*n).\nAnswer: -6780*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 36531 = 154755. Let r be 241619\/z + 12\/(-54). Let d = 8\/821 + r. Find the common denominator of d and -83\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let s = 210.359 - 0.359. Let g = 210.3 - s. What is the closest to 2 in m, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5019, -20122, -45325, -80646, -126103, -181714?\nAnswer: -247497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.20815 grams in kilograms?\nAnswer: 0.06120815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and -73\/27318424.\nAnswer: 27318424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(-1*sqrt(10)) - (sqrt(11) + sqrt(132)\/(sqrt(12) + sqrt(192))))*3)**2.\nAnswer: 11979\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 + 356 = 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 430 - 287. Let h = m + -141. Solve 5 = 3*g + h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 5*q - 3. Let f be j(-3). Which is the third biggest value? (a) 2\/13 (b) -0.087 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16039820, 32079639, 48119458, 64159277, 80199096?\nAnswer: 96238915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146229637 a multiple of 6956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215631818*p - 426599369?\nAnswer: 215631818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5255*s - 6794*s + 510*s.\nAnswer: -11539*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470.44 - 469. Round v to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746501593 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (15 + -9 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/13)\/(i\/i**7)*i**(-3)\/i**(5\/3) assuming i is positive.\nAnswer: i**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + 4d?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1531 - 0.1531. Which is the closest to 0? (a) -0.7 (b) s (c) -4\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1730689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1048 or 51?\nAnswer: -1\/1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 - 106*u + 22. What is o(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 10) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 8. List the prime factors of z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296403179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shv when three letters picked without replacement from {v: 2, s: 1, r: 1, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 12*y + 4*k + 31246, 0 = 3*y - 2*k - 18746. List the prime factors of y.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -694 + 7350. Suppose 0 = -3*g + 5*g + 4*n - f, -2*n = 4. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 1652*c**2 - 171392*c + 169744.\nAnswer: -4*(c - 206)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6046 - -6070. Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10 = -5*i. Let j = 20 + i. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1) + 5 + 26\/(-10). Let f = -0.3 - -0.6. Let s = f - 0.2. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 9)\/((-1)\/(-65)). What is the greatest common divisor of f and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.5. Which is the fourth biggest value? (a) i (b) 2\/3 (c) 0.01 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5998*g - 4. Let u = 1 - -1. Let z be y(u). What is z rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101\/161 + -182\/23. Let h = -248\/35 - g. Suppose -21 + 1 = 4*m. What is the second biggest value in h, -1\/9, m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29783 - -68132. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + -2331c33?\nAnswer: -2331c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17572737 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 i when three letters picked without replacement from iheeehihahi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -864\/11, 5\/4, 3, -66?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57538 - -57538.000024851. What is s rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.2242 millimeters in kilometers?\nAnswer: 0.0009432242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from uuexll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/182723310 and 109\/7802235.\nAnswer: 5664422610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + -3 - (sqrt(539) + (sqrt(539)*-3)**2).\nAnswer: -4856 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k - 1. Let s be a(-2). Let d be (-5)\/(0 + ((-4)\/s)\/(-8)). Let v = -1 + d. What is the greatest common divisor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - ((-77 - -41) + -25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 5 + 5*s**2 - 5. Let q = 14 - 10. Let l(u) = 2*u + 5*u + 2*u**2 + 7*u**2. Determine q*l(i) - 7*b(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 295*g - 8. Let c(b) = -298*b + 10. What is 2*c(u) + 3*s(u)?\nAnswer: 289*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30596278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-189 - (4 - (5 + -6)))*9. Let j = -5237\/3 - m. Factor -2\/3*t**2 + 2\/3*t**3 + t**4 - 1\/3 + j*t**5 - t.\nAnswer: (t - 1)*(t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 4*u**3 + 10*u**5 + 2*u**5 - 2*u**2 + 2*u**2 + (-16*u**3 - u + u)*(-u**2 + 0*u**2 - u**2).\nAnswer: 44*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 + 9. Suppose 3928 + a = 16*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180763520?\nAnswer: 2, 5, 7, 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*p + 112, 41*l - 42*l + 28 = p. Let h(n) = 2*n**2 - n - 1. Let q be h(3). What is the remainder when l is divided by q + 0 + 4 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 11194742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370278631 divided by 1.\nAnswer: -370278631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7630 is divided by 7609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*d**2 + 631*d**2 + 2530*d**2 + 1055*d**2.\nAnswer: 5218*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15243026231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4719.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*(-10)\/(-9))\/((-2)\/36). Let q be (0 + (-6)\/(-20))\/(72\/z). What is f in -7\/4*f**3 + 0 + 5\/4*f**2 + 3\/4*f**4 - q*f = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -69 + 62?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*f = 198*f + 83951 - 905314. What are the prime factors of f?\nAnswer: 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 705, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/696 and -85\/51852?\nAnswer: 103704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 28 = 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -17\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396198 and 3795.\nAnswer: 1980990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 + 895946*a + 6259587 wrt a?\nAnswer: 4*a + 895946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282078 by -18.\nAnswer: 15671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpaaqwaqwyypyywwyq. What is prob of picking 2 w and 1 a?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeooooeooo. Give prob of sequence eooe.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(5\/(-19 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -1)\/((-9)\/4 - -3). Factor 22*d**3 + 20*d + 12*d**3 - 55*d**2 + s*d**3 - 7*d**3.\nAnswer: 5*d*(d - 1)*(7*d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638.7315 weeks to days.\nAnswer: 4471.1205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 5\/24*u**4 + 0*u + 32*u**2 + 0 + 1\/60*u**5 - 1\/3*u**3. Let p(h) = -h**2 - h. What is -3*p(g) - v(g)?\nAnswer: 2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -87 in descending order.\nAnswer: 5, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-189)\/(-6))\/((-3)\/6). Let r = -135 - -224. Let f = k + r. Is f 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 25429957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:41 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746582 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*t - 1500 = -16*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33975716.\nAnswer: 2, 41, 207169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(((-88)\/(-110))\/(1144\/55))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59989 plus -41624?\nAnswer: 18365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 3953 - 573 = -17*d - 70*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let p(z) = -37*z**2 + 1. Let s(y) = o(y) + p(y). Let i(d) = -3*d**2. Determine s(i(w)).\nAnswer: -324*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 2*v**3 + v**4 - 12*v**4 - 3*v**4 - 12*v + 2 + 9*v**4 in the form d*v**3 + n*v**4 + b + f*v**2 + u*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230.5 - -230.1. Let u be (-12)\/8 + 494\/324. Which is the closest to 0? (a) u (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163367a - -5?\nAnswer: 1633684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4161563 is divided by 1327?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.5679245 and -0.5.\nAnswer: -2.28396225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 914 + -914. Solve n = -62*r + 52*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:46 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 63*r - 16835. What is b(165)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5. Let p = 1755 + -1757. Let a(o) = -o - 10. Determine p*a(n) - 5*b(n).\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*i - 5*j, -2*i + 4 = 4*j + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-27)\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 11161.\nAnswer: -89288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -13157511.795.\nAnswer: -13157511.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252125\/568 - 3551\/8. Which is smaller: 0.5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Let s(t) = -3*t - 6. Let c be s(7). Let p = c - -29. What is the lowest common multiple of p and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h - 2. Let f be q(2). Suppose 4*k + 4*i = 164, 0*i = -2*i + f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27465)\/(-34789)*6\/(-90)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:18 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11518 divided by 26\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2088 - 2089.7389. What is f rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 401 - 2. Let u = -391 + p. What is the remainder when 118 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125834?\nAnswer: 2, 17, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6585885 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/57 and 7 + (-3270)\/912 + -3.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - l - 52 = 0, 2*t = -2*t + 3*l + 60. Let m be 27*((-6)\/4 - (-5)\/10). Let g be 18\/m + 22\/6. Solve t = -g*r - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3086, 12, 0.06, -5\/2?\nAnswer: 0.3086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + 2*z - 2. Let m be r(5). Let b(k) = -k**2 - 6*k - 4. Let n be b(-4). What is the highest common divisor of n and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(6 + -3) + 7. Suppose 5*c + 10 = -w - b, -8 = -c - 4*w. Let k = c + 6. Solve k*s - 4*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(272)))**2 + 0 + (sqrt(34)\/sqrt(2)*-4)**2.\nAnswer: -32*sqrt(17) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181920.5 tonnes in milligrams?\nAnswer: 181920500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 3 = 3*y, 3*p + 5*y = -6. Suppose h - 2 = -z, -p*h - z + 2 = 2*h. Suppose -5*q + c + 1062 = h, -51 - 372 = -2*q + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c + 4. Suppose 0 = -c*k + k + 16. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11026668 divided by 30\nAnswer: 1837778\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:49 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 21. What is the units digit of t + (3 - 8)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9990, 20042, 30160, 40344, 50594, 60910, 71292?\nAnswer: 81740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + -5 + -1*1*sqrt(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -896*m**2 - 17*m - 2. Let d be n(-18). Round d to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84 - (-2)\/(-2)*-1. Let r = -46 + l. Suppose -3*m = -r + 9. What is the remainder when 27 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -142\/3. Calculate the common denominator of 57\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 45, 16, 13 in decreasing order.\nAnswer: 45, 16, 13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 10*c**2 + 8*c - 11. Let g be n(9). Let d = g - -24. Solve 2*i + 2*z - 4 = 0, -2*z + 37 = -d*i + 3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.3 + 8. Let d = h + 0. Let g = 1039\/5 + -207. Sort d, g, -3 in decreasing order.\nAnswer: g, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 5. Let u be k(8). Suppose 3*o = 12, -a + o + u = 5*o. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -115 - 1\/2*x**2 - 3*x. Let u(n) = n + 2. Determine 4*b(d) + 5*u(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946489.\nAnswer: 946489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -95, -4, 43, -1 in descending order.\nAnswer: 43, -1, -4, -95, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 9 - 6, x + 3*t = 15. Let d be 6*((-10075)\/375 + 27). Let a be -1 + (-93)\/(-33) + -2. What is the third smallest value in a, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1821*w - 9 = 3*p + 1816*w, 3*w + 15 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*l = -4*a - 25, 3*a = 2*l + 23. Suppose 4*f - 5*f - 27 = 5*g, 0 = 2*f + a*g + 29. What is the hundreds digit of (177 - -7)*((f - -3) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/(5\/(-3) - 2). What is the nearest to 1 in -1\/2, 0.17, v?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8*p - 13*p + 890, 2*v + 5*p = 365. Suppose -2*u = -5*d + u + 159, 5*d + 5*u - v = 0. What is the remainder when 39 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {e: 2, n: 3, i: 1, w: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q - 23. Give a(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9653352 is divided by 467.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*q**2 + 250*q**2 + 225*q**2.\nAnswer: 77*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37626 (base 10) in base 14?\nAnswer: -d9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*(a*(a*a**4\/a*a)\/a)\/a)*a*a*a**(1\/5)*a\/(a\/(a\/(a\/(a*a**(1\/8)\/a))))*a*a**5 assuming a is positive.\nAnswer: a**(173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(200) + 1)**2.\nAnswer: 60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, -86, -96, -122, -170, -246, -356?\n\"Answer: -w**3 + w**2 + 4*w - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6 = 0, 408 = c + 35*k + 319 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1107 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (48\/15 - 4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -43 - (175 - 92).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 - -449?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1247896\nAnswer: 5\/1247896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10451205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/722 and -47\/140996?\nAnswer: 50899556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19883 is divided by 2558?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9348 or 9349?\nAnswer: 9348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.7911 rounded to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0639 - 5.0639. Let z = g + 8. Which is the third smallest value? (a) z (b) 7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o. Let y(s) = 1549*s**2 + 34148. Give a(y(l)).\nAnswer: -4647*l**2 - 102444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*v + 26401 = 0, v + 7736 = 3*r - 18681. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = -31*d - 45. Solve -u = -d*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - 2 - (-2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-18)*158\/(-79)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x + 10. Let d(w) = -9*w**2 + 9*w - 1. Let o(l) = 7*l**2 - 8*l + 2. Let m(z) = -4*d(z) - 5*o(z). Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z = 56*z - 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 9. Let t = 56 + z. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -5*p + 5 + 1\/2*p**4 + 7\/2*p**2 + 5\/3*p**3. Let h(w) = -w**3 - 3*w**2 - 4*w + 3. Give -10*h(a) - 6*i(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 19*h**2 - 2*h - 16. Let n be v(-19). Suppose -n + 37 = 5*m. What is the highest common divisor of 33 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-11)\/((-132)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:08 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913\/(-415)*15\/(-6).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 5*b**2 - 3*b. Let s(w) = 2*w**2 - 3*w - 4. Let k be s(3). Give f(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*r**3)*(2 + 4 - 4) - 6*r**3 + 3*r**3 + r**3 + 12*r**3 + 27 - 17 - 13*r**3.\nAnswer: r**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let u = -3.8 + 3.42. Let g = -118 - -117.42. Let b = u - g. What is the nearest to 0.1 in -4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48740300 and 7250?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984571319?\nAnswer: 3, 6373, 103801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 + -156. Let x = 0.1 - 1.1. Which is the second biggest value? (a) 2\/25 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.86 - 12.36. Sort 12, a, -1\/7 in decreasing order.\nAnswer: 12, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 13) to base 4.\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 996?\nAnswer: 109.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212a3 (base 11) to base 14.\nAnswer: b400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 2. Solve 3*f - y + 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 626 - 1622236?\nAnswer: -1621410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20) + (-12)\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -355406 + 638379. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9969 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.14 rounded to zero decimal places?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/12 + 3192\/(-9). Let s = 358 + d. Solve 3*l = -5*h - 10 - 3, -2*l + s = -2*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9910*m + 94*m**2 + 9910*m.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/30 - -6 - 19\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 18*y + 8. Calculate u(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735791238?\nAnswer: 2, 163, 1613, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 15. Let z(a) = 117*a**2 + 5. Let y(b) = 233*b**2 + b + 9. Let l(x) = d*y(x) - 5*z(x). Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51375 - 51375 - 4*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/100 and -27\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j. Let n be 0\/(2 + (-12)\/4). Let a(t) be the first derivative of n*t**2 - t**2 + 1 + 0*t**2. Calculate a(o(s)).\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 309*d + 84*d - 182*d + (d + 0*d - 3*d)*(2 + 0 - 3) as h*d + y and give h.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57\/8 + -15\/2. Let m = 0.01 + -0.21. Which is the biggest value? (a) m (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 4*c + 2. Let n be v(-12). Suppose -j - j + n = 0. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100764280 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*w - 33 = w, 0 = -3*w - 12. Let s = i - -8. Let a be (-162)\/(-156) - (3 + s + -1). Is a >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44710000 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1850 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 127*w - 731. Calculate b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 125*x**2 - 203*x - 390. Let g(n) = 21*n**2 - n. Let f(j) = 6*g(j) - k(j). Let f(b) = 0. What is b?\nAnswer: -195, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1814996 to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016995 to five decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + r - 3*r + (-2 - 1 - 2)*(6 - 6 - 2*r) + 4*r - 4*r - 2*r)*(2 + 3 - 6).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let x = -35 - -37. Suppose -x*y - 4 = -4*k, y - 4*k = 4*y - 14. Let n(v) = 24*v**y - 57*v**2 + 15*v**2. Determine i(n(p)).\nAnswer: 972*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280154 = -29*r + 300136. Does 46 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Let m(s) = -6*s**3 + 5*s**2. Let p(r) = -9*r**3 + 8*r**2. Calculate d*p(o) - 8*m(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 3 + 0 - -6. Solve h = -w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/30)\/((-6)\/(-21)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 73981811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -h - 8, -y = -0*y + 4*h + 6. Solve y*v - 9 = -4*z + 5, 3*v - 6 = -3*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 832*g**3 - 56232*g**2 - 1129184*g + 7158220.\nAnswer: -4*(g - 5)*(g + 71)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*g**3 + 5*g**2 - 3 - 74*g**3 + 56*g**3 + g in the form b*g + w + p*g**3 + v*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2.7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -60, -1, 69, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2764011 + 185.5\nAnswer: 185.2235989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*w. Suppose 0 = f + 1 - w. Find the second derivative of -u - 14*u**5 - 7*u**f + 7*u**2 - 3*u wrt u.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1828*c**3*g*z + c**3*z + 64493*c**3 + 6*c**2 - c*g*z - 2*c*z + 2063*g*z + 7 wrt c.\nAnswer: 10968*g*z + 6*z + 386958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2. Let n(w) = 2 - 2 - 2 - w. Let i(k) = -6*k - 11. Let g(c) = -2*i(c) + 11*n(c). Determine g(r(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 11:45 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 23, 34, 49?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1033 * -18\nAnswer: 18594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -6\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let c = 17 + -11. Let u be w(c). What is the remainder when ((-4)\/3)\/u*-33 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 540225445 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/12*16\/(-40).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/315? (a) -2\/23 (b) -0.3 (c) -2\/13 (d) -0.06 (e) 24 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 17 = p, 65 = -44*p + 49*p + 3*n + 57 - 161 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 + 85*u**2 - 10*u - 265. What is c(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1167137, -1167136, -1167113, -1167056, -1166953, -1166792?\n\"Answer: 2*x**3 - x**2 - 10*x - 1167128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -51\nAnswer: 364\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**3*j*z**3 - h**3*j + 3*h**3 - 28*j - z**3 wrt z?\nAnswer: -3*h**3*j*z**2 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120.7 + 120.4. Put -5\/3, 79, f, 1\/2 in ascending order.\nAnswer: -5\/3, f, 1\/2, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/35*(-609)\/116?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, -1\/9, 2\/7, 2\/13?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*z + 3*z + 49*z - 63)*(0 + 2*z + 0 - z - 4*z + z + (-z + 2*z - 3*z)*(0 + 1 + 1)) to d + f*z**2 + b*z and give b.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3649 - 3649.3. Let u(x) = -x**3 - 5*x**2 + 3*x + 6. Let l be u(-5). Let z = 16 + l. Which is the closest to z? (a) o (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*y - 12*y - 6*y)*(-1 + 3 + 1) + (-1 + 1 - 1)*(3*y + 0*y - y) in the form v + x*y and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25016*u**3 + 66963*u**2 wrt u?\nAnswer: -150096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75976 and -0.3.\nAnswer: -22792.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-364)*-12 - 25\/7. Which is the third smallest value? (a) -0.042 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*z)*(1 - 1 - 2)*((2325 - 3470 + 1698)*(0*z - 3*z + z) - 1 - 2*z + 1 + (-6 + 3 + 1)*(4*z - 3*z - 3*z)) as i*z**2 + v + c*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 885, 7020, 23677, 56124, 109629, 189460, 300885?\n\"Answer: 878*l**3 - 7*l**2 + 10*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = 3*x, -2*k + k + 3 = 0. Let t = 2848\/7 - 407. Sort x, 1, t, 1\/12 in decreasing order.\nAnswer: 1, 1\/12, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 770\/((-2)\/4 + 414\/825). Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/506 or -1?\nAnswer: -1\/506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84504020 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 479.713 - 480. Let t = w - -0.687. Which is the second biggest value? (a) 7 (b) 4 (c) t (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/115540215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.046, 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17508 = 52*y - 64*y. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:51 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/427143 and 7\/24.\nAnswer: 3417144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) -0.3 (c) 0 (d) 0.3 (e) -41 (f) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46107882.\nAnswer: 2, 3, 2561549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 47\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 2*v**3 - v**4)*(2*v + 2*v - v) - 456 + 48*v**5 + 456.\nAnswer: 45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2\/7, 0.5, -5, -11\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 39*j - 681, 41*o - 5 - 1 = 46*o + 176*j - 178*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/10 + (-12)\/(-30). Let f(v) = 4*v**2 - 2*v. Let j be f(w). Let u be (-40)\/(-7) + 2\/7. What is the highest common factor of j and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 14784 = -2046. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 61. Let o be x(-18). Sort o, 0, -5 in decreasing order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*n - 20, -5*n = -9*h + h + 40*h - 780 + 140 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -425017005 and 1018320.\nAnswer: -423998685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 249, 379, 509, 639, 769?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -641553, -1283075, -1924585, -2566077, -3207545, -3848983, -4490385?\n\"Answer: v**3 - 641529*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -61. Let s(t) = t**3 - 9*t**2 - 8*t - 5. Does 11 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -2, 46 in increasing order.\nAnswer: -2, 0, 0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.43692kg in micrograms?\nAnswer: 99436920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vny when three letters picked without replacement from vznnayynn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*b + b, -3*w - b + 10 = 0. Let k(x) = -x**3 + 5*x**2 + 3*x + 4. What is the units digit of k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 - 5*d**2\/2 - 2*d + 2. Let w(f) be the first derivative of g(f). Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177614, 177622, 177630, 177638, 177646, 177654?\n\"Answer: 8*g + 177606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/30*51)\/(430\/(-1032))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190 - -215. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 73, 132, 29 in decreasing order.\nAnswer: 132, 73, 29, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120924 (base 10) in base 9?\nAnswer: 3882322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5292*g**2 - 37*g + 5.\nAnswer: 10584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2. Let n(f) = -f. Let i(l) = -15*l. Let q(a) = 3*i(a) - 36*n(a). Determine m(q(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = 0, -2*c + 3*n = -0*n - 8. Let r(u) = -584*u**2 + u. Let q be r(c). Let h = -371 - q. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3309120 and 1536?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41417\/12 + -3452. Find the common denominator of -69\/16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153639679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5479155 to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.86324 plus -243196?\nAnswer: -243187.13676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 89*l = -3*c + 8, l + c = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/4 (b) 1\/3 (c) -60 (d) -3\/4 (e) -75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15750153 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 6*x - 12. Let j be c(3). Let p(k) = -3*k**2 + 7*k - 5. Let q be p(5). Let g = j - q. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172144 divided by 4.\nAnswer: 43036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154597 + -73088. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/297390 and 89\/271530?\nAnswer: 6245190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -3, -69, 3 in descending order.\nAnswer: 8, 3, 2, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16808 + 13256. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = u. Let d be 0 + -1 + u + 30. Let z be d + (3 - 3)\/2. Solve 4*q = 16, i = 6*i - 5*q + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -11. Find the third derivative of 0*f**6 + 2*f**6 + p*f**6 - f**2 - 7*f**6 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19*g + 61. Calculate v(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012 (base 6) in base 14?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249*-11345.\nAnswer: -2824905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5*d + 13 + 6.\nAnswer: -5*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-16)\/280*252\/48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o + 3. Let d be 6\/(-1)*3\/(-2). Let m = d - o. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {k: 9, t: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 304*k + 1493. What is n(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -4\/5 (c) -34097 (d) 1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**21)\/f)\/f**(5\/2) assuming f is positive.\nAnswer: f**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 2. Let r be -3*(20\/(-6) - w). Solve -4*y - r*h + 12 = 0, -5*y = -2*h - h + 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9 + 1 = 0, -5*a = -m + 5. Let d be 248\/20 - (-9)\/m. Let r be (115\/(-9))\/(-1) - (-2)\/9. What is the greatest common divisor of d and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239888 divided by 559972?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -6. Let q(v) = -13*v + 9. Let g(j) = 12*j - 10. Let h(x) = r*q(x) - 2*g(x). Is h(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 45. Suppose p - 12 = 2. Let r = -12 + p. Calculate the highest common factor of r and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, 205, 425, 733, 1129, 1613?\n\"Answer: 44*h**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -44. Let o be (-2)\/(-6) - u\/(-9). Find the third derivative of -5*l**2 - l**3 + 5*l**2 + o*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*l**2 + 0 - 3 - 231*l**2 + 4 + 3.\nAnswer: -2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10057 and 623?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002218 rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(75)*-1 + 0 + -4*(0 + sqrt(3)) + -3 + -2 + -1 + sqrt(432) + sqrt(48))**2.\nAnswer: -126*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -564 + 558. What is the nearest to 0.3 in 0, -0.04, 1\/9, t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/11))\/l*l**(-21))\/(l**(-18)\/((l**(-3\/10)*l)\/l)) assuming l is positive.\nAnswer: l**(-343\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-4)\/18). Let l be ((-66)\/44)\/(4\/5*(-1 + 16)). Which is the second biggest value? (a) 2 (b) 1 (c) n (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/(-99) - (6\/9 + -1). Solve l = 8*h - 7*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256966 is divided by 256935?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8087104 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 880 = -0*i + 3*c, 343 = 2*i - 3*c. Suppose -i - 31 = -2*v. What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 3*k**2 + 10*k - 11*k - 6*k in the form c + j*k + d*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100220020 (base 3) to base 2\nAnswer: 1110000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 117*r**2 + 275*r - 543. What is the remainder when k(2) is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5\/9, -0.2, 0, -439, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 2*v**3\/9 + 884*v**2\/3 + 390728*v\/3 + 1583. Factor x(y).\nAnswer: 2*(y + 442)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1154 + 1159 = 3*x, 0 = -l - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 2*q + 355, -o + 4*q = -347. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1264*y**2 + 24174*y. Let m(k) = 3*k. What is n(m(x))?\nAnswer: -11376*x**2 + 72522*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 76*q - 30 = 0. What is the second derivative of q*m**5 - 3*m**5 - 95*m - 13*m**5 wrt m?\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r - 86*r - 81*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 10*y + 156. Let f = -38 - y. Suppose -p + 125 = 2*p - 4*j, -4*p + 160 = -2*j. What is the remainder when p is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011010 (base 2) to base 9.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89076 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17*v - 9. Let z be l(-3). Let w be (-190)\/z + 1\/(-6). Solve -w*k = 2*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 82*z**2 - 160*z + 37. Calculate h(43).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:19 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - 3828\/(-21). Suppose -w = 5*c + 143. Let a = 45 - c. What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z. Let l(i) = 8*i**2 - 2*i. Calculate l(t) - 3*n(t).\nAnswer: 11*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w = -50*w - 60. Suppose -w*x = -134 - 466. Calculate the remainder when x is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 plus -487146866195?\nAnswer: -487146866195.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4202 + -4202. Solve k = 2*i + 2, -47*i - 4 = -4*l - 43*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*l = 200, 0*l + 168 = 2*w - 3*l. What is the least common multiple of w and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*-1*sqrt(512))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -40. Let t = 91.0000061 - q. What is t rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - sqrt(104)*-1))*6)\/(sqrt(24)\/sqrt(3)*3).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201002 (base 3) to base 9.\nAnswer: -1632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 1 + 2 - 3 + d**2. Let o(v) = -v**2 + 1. Give f(q) + 2*o(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 + -182.13. Let i = y + -1.84. What is i rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z + r + 761 = 0, -2*r = -4*z + 1014. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 + 2*w + 2. Let s(y) = -y + 1. Let b be s(3). Let r be x(b). List the prime factors of 0\/(-4) + (r - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/y**(-1\/3)*y**(2\/5)*y**(-2))**(-32) assuming y is positive.\nAnswer: y**(3488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179)\/6 - 3276\/2808?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488 (base 9) in base 12?\nAnswer: 15bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*4\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8318 + -7567. What is the remainder when b is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 1, p: 1, m: 2, k: 2, t: 1}. Give prob of sequence tkph.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 14*r**2 + 34*r + 35. Let y be u(-16). Which is greater: -2\/21 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-35)\/(-10) + -1). Which is smaller: 1.9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/33)\/((-2926)\/(-3057670)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232720*d**3*h**3 + d**3*h**2 + 2*d**3*h + 3*d**2*h**2 - 10*d*h + 689*h**2 wrt h.\nAnswer: -1396320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 949 divide 3085199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404508009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.38 - -48. Let i = -0.08 - p. Let q(u) = u**3 + 10*u**2 + 9*u + 1. Let g be q(-9). What is the third biggest value in 2\/3, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-1))\/((-3)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43889.96 and 0.3.\nAnswer: -43889.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4408 + -2.4408. Which is the nearest to -1\/2? (a) j (b) -2\/15 (c) -0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 24*k**2 - 4*k - 17. Let q(c) = -c - 4. Let p be q(-1). Is w(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18055 or 18054?\nAnswer: 18054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 10*h**2 - 8*h. Determine r(-7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437830, 437831, 437842, 437869, 437918?\nAnswer: 437995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d + 6. Calculate b(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:09 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 - 88*i**2 - 9*i**2 - 396*i**2.\nAnswer: -457*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 37*f - 74. Let r be o(-34). Is 4 a factor of r\/3*(-360)\/(-140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 + -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128423, -128425, -128427, -128429, -128431, -128433?\nAnswer: -128435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535371750 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(100)\/sqrt(2) + -5)**2 + -4.\nAnswer: -100*sqrt(2) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/33)*w*w)**(-9)*w*w*w**(-4\/17)*w*w\/(w\/(w\/(w*w**24))))**(1\/72) assuming w is positive.\nAnswer: w**(-7235\/13464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8839643.\nAnswer: 17, 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwxcwxwwwwxdcwd. What is prob of picking 1 d and 1 x?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/15*3 + 7 + -2. What is the closest to 0.3 in l, -0.34, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2095136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 5*b - 5*u + 25 = 0, -4*b = -u + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8*g + 1 + 3*g to the form i + n*g and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24220 (base 8) to base 10\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = q, q = 3*f - 24 + 8. Let g(o) = -o**2 + o - 2. Let y be g(2). Sort 2, f, y.\nAnswer: y, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35\/6 + -17\/3. Let n = 375 - 375.2. Which is the closest to 1? (a) 1\/5 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -10*l + 5*l. Suppose l*u - 7*u = -80. Let n = 621925 + -621853. Calculate the smallest common multiple of n and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:56 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 10*l + 132\/5.\nAnswer: 2*(l - 22)*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 858\/7*j**4 + 208\/7*j**2 - 359\/7*j**3 + 1089\/7*j**5 + 64\/7*j = 0. What is j?\nAnswer: -1\/3, 0, 8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 82 = -198. Which is the closest to 0.2? (a) y (b) 0.3 (c) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 15 - 51 - 17*k - 99*k + 24.\nAnswer: -116*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -2421?\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 10. Let x = 126 - 126. Suppose x = 3*p - 9 - 18. Determine h(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-1060)\/(-318)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0095 - -0.0348. Let b = g + -0.021. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*y = -j + 20, 0 = -3*y - 15. Suppose -5*l - 130 = -j*r, 2*r + 3*l - 146 = -3*r. Suppose 0*d - r = -2*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 10, b: 6, r: 2}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 266183184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.118 and 123069942.936?\nAnswer: 123069943.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:29 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -23*n**2 + 5*n + 4. Let x(p) = -p - 1. What is -f(r) - 4*x(r)?\nAnswer: 23*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 10. Suppose 11*l + 1128 = -239*l - 2372. Let d(b) = -b + 3. Determine l*d(a) + 4*n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29852952 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -15 - -10) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07963 rounded to 3 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172, 167, 160, 151, 140, 127, 112?\n\"Answer: -w**2 - 2*w + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-14))\/(((-750)\/350)\/(-15)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -r - 14, -5*d + 12 + 14 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 4215*y + 4219*y + 4211*y - 12645*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 6*z**5 + 0*z**5 + (-3*z**3 - z**3 + 6*z**3)*(-4*z**2 + 3*z**2 + 2*z**2).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -39. What is the common denominator of -9\/2 and 3\/(-4) + (-358)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 6*u + 5. Let z be x(5). Let l be 1 + (z - 15)*(-12)\/(-168). Let k = -0.9 + 1. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, k: 1, d: 1, j: 5}. Give prob of sequence yjkj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6624 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 5. Is m(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*((2 - 1 + 0)*(-5*v + 3*v + 3*v) - 38*v + 95*v + 36*v)*(0*v + 0*v - v**2).\nAnswer: 94*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -9) + (-3 - -4). Suppose 2*y = 5*i + x*y + 45, 2*y = -3*i - 30. Let k = 14 + i. Solve k*f = -4 - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -507*t - 2. Let f(x) = 1526*x + 6. Give -6*f(y) - 17*h(y).\nAnswer: -537*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/113904 and -20\/189?\nAnswer: 341712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2689 (b) -2 (c) -5 (d) -0.2 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -1\/6 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 5 - 10 - u.\nAnswer: -u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*x - 2*x - x)*(-5 + 3 + 4) + 3 + x - 3)*(0 - 1 + 0) as d*x + t and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 10*b - 23*b. Sort -25, 3, -3, -2, b in decreasing order.\nAnswer: 3, -2, -3, b, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/2)\/((-228)\/(-152)). Solve -j*n - 10 = -8*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6)**(-40)*n**12*n*n*n*n*n**10*n assuming n is positive.\nAnswer: n**(-213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voowoovvvvmvoovvvovm. Give prob of sequence wov.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316074379 and 1138.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 17 = 4*p + 14, 2*r + 3 = -3*p. Suppose 5*v - 6 + 1 = 0. What is the remainder when (28\/(-12))\/(v\/(-3)) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5700 and 137484?\nAnswer: 3437100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s + s)*(-1 + 1 + 2*s + 1).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 11. What is the units digit of 8\/((-3)\/(o\/(-6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 3001220.\nAnswer: 33013420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = r. Suppose -30 = -2*d - r. Suppose 2*f + z + 0*z = 210, 5*f - z - 518 = 0. Calculate the highest common divisor of d and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 17*r**2 - 9*r. Calculate m(16).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 576\/13 - 11061\/247. Let v = -7\/95 - d. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50537600 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 697*k**2 - 688*k**2 - 2*k**4 + 1381*k**2 + 4 in the form d + b*k**4 + c*k**2 + n*k + z*k**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x - 1699 = -1757 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**3 - 6*k**2 - 6. Let y(o) = 2*o**3 + o**2 + 1. Let n(w) = -11*y(w) - 2*z(w). What is the derivative of n(u) wrt u?\nAnswer: -6*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 + y + 6. Suppose 4*j - 27 = 13*j. Is s(j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 12*x - 8. Let y be k(9). Suppose -40 = -3*r - y. Let p(g) = -g**3 + 6*g**2 + 4*g + 4. Determine p(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4 (c) -0.2 (d) 1474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 20*a = 168 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-2 - (5 + -3)). Suppose 4*j = s*w - 12, -6 - 11 = -3*w + 5*j. Let x be 2 + w*3 + 7 + 29. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 14. What is the first derivative of -2*n**4 - 2*n**4 + 3*n**4 + 4*n**s + 5 wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5720, 10694, 15668, 20642?\nAnswer: 25616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006105 rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2578 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -21 - (-7 - (-3 - -3)) - 91.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 - -161. Let y be (116\/16)\/((-3)\/(-12)). Suppose 5*f - j = y. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - -200. Let n = -387.53 + t. Round n to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.151975 rounded to two dps?\nAnswer: 279.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 1003 = -3*x, -4*l + 5*x + 997 = 0. What are the prime factors of l?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/((h*h**7\/h)\/h))**(-20) assuming h is positive.\nAnswer: h**(1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 110 = 12*q, -43*a = -38*a - 3*q + 35 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -212*r*y - 6*r + 16848*y wrt r.\nAnswer: -212*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -357 + 127. Let m = 232 + y. Solve 0*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -16*w**3 + 4*w**2 - w - 7. Let h be b(-5). Let t = -16703\/8 + h. What is the common denominator of 95\/12 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 54*z + 24. Let n(w) = w**2 - 19*w + 72. Let y be n(10). Let f be v(y). Solve -4*d - f = 2*h, -2*d + h = 5*h + 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 209 - 84 + 50.\nAnswer: -f - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + ((-5)\/2)\/(-5). Which is the nearest to w? (a) -0.2 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2902069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4331\/38817 - 2\/4313. Let q(d) be the first derivative of 6 + 0*d**2 + 1\/30*d**5 + 1\/6*d - b*d**3 + 0*d**4. Factor q(w).\nAnswer: (w - 1)**2*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4 + (-1)\/2. Let a(r) = r - 8. Let g be a(5). Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/4 + 10652*y**3 + 63909*y**2\/2 + 31954*y + 42605\/4 = 0. Calculate y.\nAnswer: -42605, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*s - 247362 - 31941 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.252 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1025\/(-8370) + (-184)\/(-2484). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:07 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 16) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228265*u**4 - 2*u**3 - 1058252*u**2 wrt u.\nAnswer: 5478360*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3525 - -3542. Solve 0 = -35*o + 18*o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 105325*z - 4115280.\nAnswer: 5*(z - 21104)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 106770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*-1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/3 + q**2 + 3536*q. Let s = -3 - 3. Give m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -4. Let b(x) = x**3 - x**2 - 4*x - 1. Let z be b(3). Suppose 0 = -z*g - j + 23. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 13) + (23\/11)\/(-2 - 168\/(-77))?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192029 is divided by 14766?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 295778 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.2+-44129117.1\nAnswer: -44129114.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*v + 28 = 0, 10*m - 5*v = 12063 - 12023 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9990595 centuries in months?\nAnswer: 1198.8714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/4 (b) -2\/21 (c) -2\/3 (d) -3\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:14 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 30. Let z = -3 + q. Is z at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmsykmhnhnnhknmnn. Give prob of picking 1 h, 1 m, and 1 y.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 62*j\/3 + 44.\nAnswer: 2*(j + 3)*(3*j + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1430545*q**2 - 2*q + 14650724?\nAnswer: -2861090*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 115*x - 39 + 20.\nAnswer: -115*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/9, 0.516, -62, 1, 0.4 in descending order.\nAnswer: 1, 0.516, 0.4, -2\/9, -0.3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.6. Let x = 0.5 + v. Is x < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 65 = -7*n. Suppose 0 = 16*o - 21*o + 45. Let s = o + n. Put 0, s, -3 in ascending order.\nAnswer: s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*z - 4, 5*z + d + 5 = 5*d. Let m = 10 + -10. Let l = 0 + 0. Which is the closest to l? (a) m (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 51*h**6\/2 - h**5\/10 - 598*h**3\/3 + h**2\/2 + 6604*h. What is the second derivative of c(o) wrt o?\nAnswer: 9180*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -10. Let t = -3.363 - -2.863. What is the nearest to k in t, -0.03, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -106 + 8. Solve 3*d - g = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.351 times 1154\nAnswer: 405.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7194.709 kilometers in micrometers?\nAnswer: 7194709000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 + v. Let t(h) = 7*h**3 - 78*h**2 - h + 1. What is 6*j(z) + t(z)?\nAnswer: z**3 - 72*z**2 + 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632385 is divided by 150.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41716429 - 0.5.\nAnswer: -41716429.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 39. Suppose f - 5 + l = 0. Suppose -2*y = 2*d - 4*d - 2, 0 = 4*d - 12. Solve 5*r + 4*k + y = -3, 7 = -r + f*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430790 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30311312 (base 4) in base 7?\nAnswer: 306230","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 401?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58711*i**3 + 5*i**2 + i - 845771?\nAnswer: 176133*i**2 + 10*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 6.35. Let x = 7 + t. Let f = x + 0.35. Which is the smallest value? (a) f (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47593 + 47592.9977157. What is c rounded to 5 dps?\nAnswer: -0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -17, -14, -11?\n\"Answer: 3*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0774 - 91.7726. Let v = z + 88. Round v to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -2\/141, -4, -2\/17, 0.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15 - 3. Suppose 3*u - 34 = 134. Suppose -2*q + 3*m + 9 = -19, -u = -4*q - 3*m. Solve -o*p + q = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 111 = 3*n, n + 188 = 184 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7098*h + 7099*h + 3*g = -30, 2*h - 60 = 6*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5953 less than 5?\nAnswer: -5948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2142 = -45*i - 81*i. Solve -i = 15*z - 62 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350*i**2*p**3 + 778*i**2*p**2 + 72*i**2*p + 3*i*p + 174*p**5 + p**3 wrt p.\nAnswer: 2100*i**2 + 10440*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22697 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 - 155. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24503 and 10534?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*w = -21, 25 = 5*i - 2*i + 5*w. Suppose i*f - 4*d - 96 = 0, -4*f = -5*d - 96 + 12. Which is bigger: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (953\/(-113407))\/(299\/(-182)).\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93.1 + 94. Let d = -2.9 + p. Sort d, -0.5, -2\/3 in decreasing order.\nAnswer: -0.5, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3068 = -l. Suppose 2*c + 274 = -2*x + 658, 0 = -4*x - 3*c + l. Suppose -4*i + 229 + x = 0. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 2*m**2 + 3*m - 3. Let q be f(3). Suppose 5*p + 26 = 6. Let g = q - p. What is the greatest common divisor of g and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54862990 a multiple of 1350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -58, 468 in decreasing order.\nAnswer: 468, -1, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x = -76*x - 98. Let f = 100 + x. Factor 3\/2*w**4 + 0 + 0*w + 1\/2*w**f - 2*w**3.\nAnswer: w**2*(w - 1)*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose 2*l = n*h + 32, -h + 33 = 3*l - 4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 5. Let u(c) = -4 + 6 - 4 + c**2. Determine 2*j(r) - 5*u(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddx when four letters picked without replacement from fldqdxuu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24600760*v**3*w**2 - 2*v**3 + 49256277*v**2 - v*w**4 wrt w?\nAnswer: 49201520*v**3*w - 4*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:36 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - r - 38, 188 = -5*g - 5*r + r. Let d be (-8)\/g*828001 + 2\/(-9). What is d rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 54*v**4 + 225*v**3 - 939*v**2 + 888*v - 252 = 0?\nAnswer: -7, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 100 = 4*t - 20, 2*h - 44 = -2*t. Suppose -11*w + h = -570. Calculate the least common multiple of w and 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:42 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.240595 months?\nAnswer: 0.00243671625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from tcjtitttimjmjjjjt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280783\/2 + -140374. Factor 0*x - d*x**3 + 0 + 25*x**2.\nAnswer: -5*x**2*(7*x - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*o*x**3 + o*x - 2*x**5 + 7*x**3 - 9*x**2 - 6*x wrt x?\nAnswer: -342*o - 120*x**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96664467.\nAnswer: 3, 32221489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/7))**(-6\/11) assuming l is positive.\nAnswer: l**(-54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26332719.\nAnswer: 3, 7, 863, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001028058 to 6 dps.\nAnswer: -0.001028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n + 405*n + 212*n.\nAnswer: 558*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15*-9.7\nAnswer: 145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 150125 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: Suppose 8*v - 30 = 2*v. Solve -18 = 2*r - 4*l - l, -r + 21 = v*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-9*s - s + 9*s + s - 4*s + 4*s + (s + 0 + 0)*(-3 + 5 + 0)) + (-5 + 3*s + 5)*(-1 - 1 + 1).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1250557979\/115326 - -285\/6407. Let b = n - 10840. What is the common denominator of b and (-2)\/(-16)*(-1068)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:40 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 - l**2 - 45 - 2*l**2 - 6*l + 12*l**2. Let x be a(10). Let k = 54\/13 + -417\/91. What is the third biggest value in 1\/2, x, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 + 2*f - 5. Suppose 3*x - 3 = 2*x. Suppose 0 = -y - x*y + 24. What is the units digit of v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/24 + (-21)\/(-4) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1134*m + 503*m + 423*m)*(18 - 18 + 51*m**2) as l*m + d + g*m**3 + u*m**2 and give u.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q + 4. Let k(i) = 8*i + 5. What is 2*k(g) - 3*o(g)?\nAnswer: -11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 843607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(70\/4))\/(63\/147)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/18 - 260*g**3\/9 + 87*g**2 + 77*g. Factor l(s).\nAnswer: -2*(s - 1)*(s + 261)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/105 + 227*g**5\/60 - 5*g**4\/12 + g**3\/2 + 5*g**2 - 11*g. What is the second derivative of r(a) wrt a?\nAnswer: -24*a**2 + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 48 (b) -1 (c) 2 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/5)\/(14\/70) + 17. Let z(n) = n**2 + n - 4. Let u be z(-3). What is the second derivative of -b*c - c + 3*c - 23*c**u wrt c?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*q + 11 + 44, -4*h - 53 = 3*q. Is q greater than -111\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (294\/8)\/(54\/144)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5 - 20. Suppose -4*i + 4 = 4*m, -2*i - a*m - 7 = -3*i. Solve -2 = i*g - 2*s, -8 = g - 5*s + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in -2\/21, -2, 448, 2\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7934, -7936, -7938, -7940?\n\"Answer: -2*r - 7932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {s: 1, d: 2, o: 1, b: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k**3 - 9*k**2 - 8*k - 129. Let u(i) = -6*i**3 - 4*i**2 - 3*i - 64. Determine 2*a(w) - 5*u(w).\nAnswer: 2*w**3 + 2*w**2 - w + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86968057 + 86968029 - 2*v - 173936063.\nAnswer: -2*v + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(3*b + 3*b - b) + (3*b + b - 3*b)*(1 - 5 + 3) + 3*b + 0*b - 5*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbmbbbbmmmmbb.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 63 + 63.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13191224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*z + 5*r - 1, -3*r = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006269095555 to 7 decimal places.\nAnswer: -0.0006269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -36. Which is the biggest value? (a) -2\/3 (b) -0.44 (c) o (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.9872mm to kilometers.\nAnswer: 0.0002949872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 + 126. Let t = -368 + 246. Let h = j - t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u**2 + 9*u**2 - 12*u**2)*(7*u**2 - u**2 - 3*u**2) + (-u**2 - 3 + 3)*(3*u + 2*u**2 - 3*u) + 2*u**4 + u**4 - 4*u**4.\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1.8, 0, -290, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.6803 millilitres in litres?\nAnswer: 0.1046803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, 2\/7, 5, -1912\/5, 0.31, 0.4, -2\/11?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -7\/4, 42.77, -4, 4 in descending order.\nAnswer: 42.77, 4, -7\/4, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*(-51230)\/1269 - (-6)\/(-27)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/3 - (63 + 2590\/(-42)). Let i be 2\/(-66)*(-4)\/(-2). Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + 0 - (13 + 28 + -3 + 2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2433 - -3011?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.33 + 3.39. Which is the closest to 2\/7? (a) -0.2 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/5 in 1\/2, 4, 2\/11, -21, -0.1, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 2*r**2 - 2*r**2 + (r - r + 2*r)*(-3*r**4 - 2*r**4 + 4*r**4) + (1 - 6*r + 7*r + 2)*(1 + 2*r - 1)*(-29*r**3 - 13*r**3 + 57*r**3).\nAnswer: 26*r**5 + 90*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1446, 1453, 1472, 1509, 1570, 1661?\n\"Answer: q**3 + 1445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002871456 to six decimal places.\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 7. Determine o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/25))\/(i*i**(-14)))\/(((i*i**(-6\/17))\/i)\/(i*i**(2\/35))))**5 assuming i is positive.\nAnswer: i**(45607\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = 0. Solve 3*p + 6 = -j*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 239*z + 164*z + 231*z + 14.\nAnswer: 634*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.1. Let b = 273 + -274.5. Let l = -1.4 - -2.4. What is the nearest to l in b, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (202706\/(-8))\/(9 - 5). Let o = u - -6330. Calculate the common denominator of o and 41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*z**5 - 1281*z**4 + 4*z**2 - z + 35 wrt z?\nAnswer: -2580*z**2 - 30744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4636 = 121*t - 60*t. Solve -t*i = -68*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**22*y\/(y*y*y**(-21))*((y*y**(-2\/21))\/y)**(-43))**29 assuming y is positive.\nAnswer: y**(28072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fxxxxffffff?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 6*n = 0. Which is the closest to n? (a) -0.1 (b) 3\/7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 58*n**2 + 3. Let m be h(-3). Suppose 0 = -4*p - 4*z + 1420, p + 190 - m = 4*z. Calculate the greatest common divisor of 54 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25361, 25318, 25271, 25238, 25237, 25286, 25403, 25606?\nAnswer: 25913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(166*p - 66*p - 201*p**4 + 166 + 260*p**4 - 170).\nAnswer: -59*p**4 - 100*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7 + 3?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + sqrt(1377) + 5 + 2 + sqrt(1377).\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1511251322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 10*q + 5*g = -13, -2*q = 5*g + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 299933.5ml in litres?\nAnswer: 299.9335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 65 - (-3 - (-2 + 3)). Let h(z) = 3*z**2 + 59 - q - 11*z**2. Let p(o) = -9*o**2 - o - 11. Let r(v) = -7*h(v) + 6*p(v). Find d, given that r(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 - 215 = -2*x - 5*t + 280, 4*t + 56 = -4*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 58.943?\nAnswer: 117.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxssssxxxxx. What is prob of sequence sss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/6 - 157*m**4\/2 - 9125*m**3 + 83543*m**2\/3 - 56011*m\/2 + 18723\/2.\nAnswer: -(m - 1)**3*(m + 237)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 267*d - 276*d + 21132. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3280 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(15470\/(-30)) - (-1)\/(-7).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50606.\nAnswer: 2, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 2*k**2 + k - 2. Does 15 divide m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 - 3*o + 2. Let i(z) = z**2 - 20*z + 19. Let g be i(18). What is the least common multiple of u(4) and g\/68 + (-41)\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 41098267.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2528*p**3*s**3 + 23*p**3*s - 32*p**3*t + p**2*s**3*t + p**2*s*t wrt s?\nAnswer: -15168*p**3*s + 6*p**2*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3454 + -0.1751. Let n = 0.188 - y. What is n rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700392 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 48 = -2*l, -5*j + 2*l - 78 = -0*l. Let n(f) be the third derivative of -f**5\/60 - 5*f**4\/8 + 3*f**3\/2 + f**2. What is the units digit of n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29.07181 kilometers?\nAnswer: 29071.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (9 - 22) - 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 23. Let s be b(-7). What is the third derivative of -10*z + s*z + 5*z - 5*z**4 + 10*z**2 wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(32\/48)\/((-4)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k + 90*k**3 - 182*k**3 - k**4 + 4 + 90*k**3 - 2 as r*k**4 + i*k**2 + m + x*k + d*k**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 373888774 a multiple of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 489*n. Let w(d) = -1681*d**2 - 2*d. Calculate w(z(f)).\nAnswer: -401962401*f**2 - 978*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(5\/2)))\/v**(4\/7))\/(v\/v**(-5\/3))**(2\/11) assuming v is positive.\nAnswer: v**(1129\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -3 - (-24)\/(-9))\/(2\/645). What is the highest common factor of a and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + -18*(-78)\/12 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaaaaalaa. What is prob of picking 2 a and 2 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26501237255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11363401*-0.005.\nAnswer: 0.00056817005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3. Let r be w(-2). Let n be 1 - (-2 - (r - -2)). Let d(c) = 16*c + 69. Let a be d(-4). Put 1, a, n in descending order.\nAnswer: a, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -590, -1, 1991 in descending order.\nAnswer: 1991, -1, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 13*c**2 - 32*c + 361. Calculate a(15).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/((-1)\/4). Suppose -a = -3*s + s. Suppose 5*z = -3*h + 5*h - 4, 3*h - 25 = -s*z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45760144?\nAnswer: 2, 29, 98621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 26145?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 78*u - u**2 + 5*u**2 - 2*u**2.\nAnswer: 2*u**2 + 67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39844 is divided by 19848?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/4)\/5 - 1. Let h(a) = x*a**2 - 3*a**3 + 10*a**3 - 1 - 6*a**3. Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 - 169*u - 21. Let j be p(-24). Let n = 2887\/28 - 409\/4. Find a such that -2\/7*a**j - 2\/7*a**2 - n + 10\/7*a = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 124730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*s**3 + 250*s - 587*s + 337*s.\nAnswer: 73*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c - 2. Let d(g) = -3*g**3 - 2*g**2 + 7*g + 4. Let n(z) = z**3 + z**2 - z - 1. Let t(m) = d(m) + 2*n(m). Determine -5*r(x) - 6*t(x).\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + l + 20 = -2*a, -a - 4*l = -1. Let m(n) = 7*n - 20 + 20 + a*n. Let w(j) = -1. Let s(z) = -z + 3. Let x(g) = 2*s(g) + 6*w(g). Give x(m(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = -1. Let s(n) be the first derivative of n**2\/2 + n - 6720. Let r(h) = -4*h - 10. Determine l*r(f) + 6*s(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -4 + 13 - 6) + (0 - 14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12651138 plus -99427.8?\nAnswer: -99427.67348862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 1182*u - 1185*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -106, 49, 4, -79.\nAnswer: -106, -79, -2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -199 in 2\/7, -1\/9, -0.02?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 5*d + 257. Calculate the lowest common multiple of l(12) and 970.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 110002?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((99\/63)\/11)\/((-6)\/(-371)) + -5.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 18 = 3*q. Suppose -q = 5*h - 51. Let m(x) = 3*x - 12. Is 10 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*v**3 - v**2 - 352*v + 26199.\nAnswer: -9*v**2 - 2*v - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29449*f**4 + 7*f**2 + 42528. Let t(s) = -9813*s**4 - 2*s**2 - 14176. Let v(h) = 7*t(h) + 2*u(h). Find the first derivative of v(y) wrt y.\nAnswer: -39172*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10\/591, -3, 4\/9, 0.5?\nAnswer: -10\/591","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:34 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**3\/g*g))**15*g**(-9)\/(g*g\/((((g*g\/(g\/g**(2\/13)))\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-947\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(2\/7)*q)\/q)**15 assuming q is positive.\nAnswer: q**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1593 - 1593.2. What is the nearest to s in -4, 0.3, -17, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6)*-2)\/(12\/(-3)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/8 at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1565\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(0 + 1\/(-71)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from tttj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a - 44. What is the remainder when r(21) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 92314 = -3*s, 4*f + s + 19856 = 112146. List the prime factors of f.\nAnswer: 2, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 16. Let r be 3\/2*1738\/237. Let f(n) = -n - 3. What is r*f(c) + 2*i(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(-3 + sqrt(304)*1)**2.\nAnswer: -1878 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 + 4*h. Suppose -27*n - 68 = 40. Let q(b) = 7*b**2 + 3*b. Calculate n*q(a) + 3*v(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74407276?\nAnswer: 2, 18601819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + p**2 - 36*p + 36*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 13\/(-16))\/(324\/864)*(31 + -12)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 116*q**2 - 111*q - 38. Determine l(-117).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 5*p - 2, 5*p = 5. Let g = 0.09 - 2.29. Let y = g + 2. Which is the third smallest value? (a) y (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 - 315*y**3 - 530*y - 2*y**5 - 1303\/2*y**2 - 91\/2*y**4 = 0.\nAnswer: -10, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006926743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:05 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:18 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 40*d**2 + 29*d - 890. Calculate i(40).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - x**2 - x. Let o(z) = 3882*z**3 - 647*z**2 - 647*z. Calculate -647*d(j) + o(j).\nAnswer: 1941*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*x = 3*x, -3*x = 4*y. Let k(d) be the second derivative of -1\/42*d**4 + y*d**3 - d + 0 + 1\/7*d**2. Determine t, given that k(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5031 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.4, -0.3, 2\/9, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 629*o + 628*o + 7 = 0, -3*j - 3 = 3*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2\/2 + 271*z\/2 + 45 = 0.\nAnswer: -90, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700.8537 nanoseconds in weeks?\nAnswer: 0.00000000002596040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 7, d: 2, t: 1}. What is prob of sequence aas?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -7\/1984312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -66, -72, -78?\n\"Answer: -6*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g**2. Let t(j) be the second derivative of -17*j**3\/3 - 22*j - 51. Calculate t(m(s)).\nAnswer: -544*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 31 + 33 = -3*y, 6 = -g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. Let w(s) be the third derivative of -s**6\/8 + s**5\/20 + 5*s**4\/24 + 25*s**2 - 3*s. What are the prime factors of w(y)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291 and 21?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.2 (c) -1\/10 (d) -0.5 (e) 0 (f) -2280\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -16, -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4263 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -470*z. Let p(g) = 2*g**2 + g + 1. Let u(n) = 15*n**2 + 8*n + 8. Let l(h) = -8*p(h) + u(h). Calculate l(y(d)).\nAnswer: -220900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 625134.956 and -3?\nAnswer: -1875404.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 78 = -0. Let f = t - -121. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 + 16 = 0. Let i be (-42 + r)*1\/(-2). Let p = i - 8. Calculate the least common multiple of p and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51956 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -17*n - 17. Let f(c) = -4*c - 4. Let h(j) = 4*j - 2*j + 4 + j - 5*j. Let b be h(3). Calculate b*q(m) + 9*f(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let c(s) = 5*s + 3. Let x(o) = c(o) - 4*h(o). Let i(u) = -u - 9. Let d be i(-8). Give x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:45 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -161 + 11. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 391*y**7\/105 + y**5\/60 + 301*y**3 - 1886*y**2. What is the first derivative of i(l) wrt l?\nAnswer: 3128*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Suppose 17*v = 41*v - 1344. Let u = 53 - v. Let y(f) = -3*f + 2. Determine u*y(p) + 5*l(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t - 38. Give m(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -63) + (-1 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3 - 48. Is ((-6)\/w)\/((-4)\/138) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75600004 = 3*m - s, -5*s + 53671532 - 3271552 = 2*m. Suppose -3*d = -d - m. Round d to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (-9 + 4)) + -1. Suppose 15 = 2*l + 3*t, b*l + 2*t - 15 = -3*l. Let h(o) = o**3 - 2*o**2 - 2. What is h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4184 is divided by 2083.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-240)*-4)\/(4\/(-50))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 + 6 - (-11 + -4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2 + 1562*m - 3132 = 0. What is m?\nAnswer: -783, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q - 1 + 5*q**2 + 7*q - 3*q**2 + 2*q**2 + 3*q**2 - q**2 + (4*q - 3*q - 2*q)*(-4*q + q + 4*q) + 2*q**2 + 7*q**2 - q**2)*(2*q**3 + 5*q**3 + q**3).\nAnswer: 104*q**5 - 16*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v - 2*v)*(-10*v + 2*v**3 + 5*v**3 - 4*v**3).\nAnswer: -12*v**4 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s + 62. Let v be l(11). What is the tens digit of (4 + (-418)\/7)\/(10\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 2*m)*(2 - 5 + 1)*(25 - 33 - 58).\nAnswer: 132*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t**2 - t. Suppose -6*r = -r + 5. Let d be -7 - 0\/(0 + r). Let b be (-2)\/d - (-5)\/7. Let s(g) = g**3 + 2*g. What is b*s(u) + a(u)?\nAnswer: 2*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4*-5*(sqrt(153) - ((sqrt(153) - 2*sqrt(153)) + sqrt(153)) - sqrt(153)))\/(sqrt(1089) + -2*sqrt(1089)*4 + sqrt(1089))*-5 + -5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -94601?\nAnswer: -378404","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383907 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1313524941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/79, 1, -5, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.2246 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 11\/3590, -0.5, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44291237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.946 + 10.946. Sort -5\/6, s, 1\/3, -0.5.\nAnswer: -5\/6, -0.5, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -33365?\nAnswer: 33412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 0, 24, 80, 180, 336, 560, 864?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 3. Let w be 9\/1 - 4 - 7. Let k(v) = -3*v + 2. What is w*h(f) + 3*k(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from tjttxtvxxxetxle.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**3*(q**(1\/2)\/q)\/q**(-6)*((q\/(q**8*q))\/(q*q\/q**(1\/6)))**33 assuming q is positive.\nAnswer: q**(-1273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1956.4158924 - -1821.41589379. Let d = 135 + c. What is d rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c - 3*l - 150 = 0, -3*l = 0. Let o = c + 82. What is the highest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.3, -62, -0.1, 0, -0.09 in increasing order.\nAnswer: -62, -0.1, -0.09, 0, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-5 + 5 + o) - 5*o + 5*o + o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8. Let r(y) = -y**3 - 6*y**2 + y + 6. Let q be r(j). Calculate the lowest common multiple of 14 and 0\/(-1) + (2 - q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10\/(i*i**(-5\/7))*(i\/(i**10*i)*i)\/(i\/i**(15\/2)) assuming i is positive.\nAnswer: i**(101\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293663205 - 293663205 - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -d. What is the derivative of k**3 - d - 1 + 3*k**3 - 3*k**3 wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -78. Let j = h + 41.6. Let a be -2*3\/(11 + 1). What is the nearest to a in j, 0.4, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5459 + 94?\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187856 and 17936?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)\/d)\/(d**(-1\/8)\/d))**(2\/61)\/((d\/d**(1\/4))\/(d\/(d*d**(-3)))*d*d*(d**0\/d)\/d*d*d*d\/((d\/(d*d**(-4\/7)\/d)*d)\/d)) assuming d is positive.\nAnswer: d**(2171\/2562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 + 19*z - 14. Determine m(-7).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6384.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjjp when four letters picked without replacement from {p: 4, e: 1, j: 6, b: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -124433713 at least -124433711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1363 - 269*i + 1363 to the form k*i + j and give k.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 13*i**2 + 848*i\/5 - 3136\/5.\nAnswer: (i - 49)*(i - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55901995?\nAnswer: 5, 29, 385531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4887.5 + -2.\nAnswer: -4889.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*w - 32, -3*w + 0*w + 5 = n. Let x = 27.5 - 27.3. Put x, w, -0.1, 1 in increasing order.\nAnswer: -0.1, x, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, -0.34, -3, -4?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 4, l: 3, m: 3, j: 1, s: 2}. What is prob of sequence ss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858 + 4351 + 5610 = -758*q - 993 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*n - 766*n = 5*c - 10, 0 = -4*n - 4*c + 56 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - -3*sqrt(180)*6)\/(-3*1*sqrt(9)).\nAnswer: -38*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v*v**(-7))))*v*v**(-1))\/(v**(-4)\/(v*v**(-5\/6))) assuming v is positive.\nAnswer: v**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - ((sqrt(272)*1 - sqrt(272)) + sqrt(272) + -3))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 - (-12 - (-1 - 2) - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 106 = -0*b - 4*w, -5*b - 4*w = -166. Let h = b - 14. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u - 2*x, -2*u = -3*u + 3*x - 1. Let f = u + 7. Factor -4*h**2 + h**3 + f*h**3 + 3*h**4 + 2*h**2.\nAnswer: h**2*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/48 and 1\/2*((-1)\/6 + 3332\/(-924)).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1632, 6578, 14996, 27030, 42824, 62522?\nAnswer: 86268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*d + 10 = 393*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -39*n**2 + 551*n - 55. Give m(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmtmmmdmfmfmm. What is prob of picking 1 f, 1 m, and 1 t?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.832994156 - -5.833. What is t rounded to seven dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a*q**2*s**2 + 4*a*q**2*s + 16*a*q - 2*a*s**2 - a*s + a + q**2*s**2 - 2*q**2 + 4*s**2 wrt s.\nAnswer: -8*a*q**2 - 4*a + 2*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 874888 divided by 4.\nAnswer: 218722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0 + 1\/3*l**3 - l**2 - 3\/20*l**5 + 3*l - 1\/6*l**4. Let o(b) = -10*b**3 - 7*b**2 + 7*b - 7. What is 21*h(m) - 6*o(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -810 + 1028. Let a = -168 + 93. Let q = j - a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 17. Suppose -6*o - 2 = -26. Suppose 5*p - 30 = 4*v, o*p - p - 18 = 4*v. What is the highest common factor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.27*0.2\nAnswer: 0.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297540849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a hour in seconds?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -39. Sort 2\/11, q, 1\/5 in ascending order.\nAnswer: q, 2\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0516 - -2.9484. What is the closest to 1 in m, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5035.92 to the nearest ten.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 13*s**2 - 5*s - 30. What is f(-13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 186. Suppose -s = -5*z + 8. Let y(d) = 2*d**2 + 80*d + 157. Let w be y(-38). What is the greatest common factor of z and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 52 = 4*h, 4*p - 61 = 3*h. Let i(o) = -22*o - 26. Let j be i(-7). What is the units digit of 5\/h - j\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15224, 15243, 15268, 15293, 15312, 15319, 15308, 15273?\n\"Answer: -g**3 + 9*g**2 - g + 15217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10220.3486 to the nearest ten.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1)\/y)*y)\/y**(-6))\/(y**(1\/4)\/y*y*y*y\/(y**6*y)) assuming y is positive.\nAnswer: y**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24087 - -10037?\nAnswer: 34124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37407693.\nAnswer: 3, 12469231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, 0, 53, 146, 291, 500, 785?\n\"Answer: 2*i**3 + 2*i**2 + 5*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-35)*n*n*n**12*n)**(-2\/29))**21)**(-21) assuming n is positive.\nAnswer: n**(44982\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/8*(-330)\/132.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23130697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-66)*9\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkgkgkkkg. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-2)))*((s*(s**(2\/3)*s*s)\/s)\/s)\/s)\/((s\/(s*s*s**(-6)))\/s*s**(1\/4)*s*s))\/(s**1*s\/(s\/s**(1\/4)))**36 assuming s is positive.\nAnswer: s**(-619\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12351236 and 184528?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 653*g**2\/3 + 1309*g\/3 - 655\/3.\nAnswer: -(g - 1)**2*(g + 655)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3046 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, 2\/9, -0.03, -0.02, -1.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*o + 1110, 5*p - 25*o - 2798 = -26*o. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 - 6 = 0. Let q = c - -5. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g)**(-1\/67)*(g**(-1))**(-7\/9) assuming g is positive.\nAnswer: g**(911\/1206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48437741 is divided by 1360?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - 19. Let y = k - -48. Let g = y - -33.007. What is g rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Round k to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + 0)*3\/75. Let o = b - 241\/150. Let a = o - -25\/24. Is 0 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/(4\/(-6)). Suppose 1 = 5*k - 4. Suppose -o - 6 + k = -3*x, x + 2*o - 4 = 0. Solve s = x + b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/32180 and 91\/124.\nAnswer: 997580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:18 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 7*k**2 - 5*k + 7. Let f be t(6). Let h(u) = 0 + 10211*u + 6 - 10194*u + 0. Let c(j) = -8*j - 3. Give f*c(p) + 6*h(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-21) - 4\/14. Let w = -1 - -3. Suppose b - 24 = 4*q - 3*b, -5*q + 5 = w*b. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**4 + 54*a**3 + 148*a**2 - 1044*a - 1176. Let b(q) = q**3 + q**2 + q - 2. Let n(r) = 12*b(r) - g(r). Solve n(p) = 0 for p.\nAnswer: -12, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 11*f + 14. Let q(i) = i**2 - 8*i - 3. Let t = 23 - 14. Let k be q(t). Let n be p(k). Calculate the greatest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 2*x**3 + 0*x)*(3*x - 2*x - 2*x) + 342*x**4 - 105*x**4 + 219*x**4 + 2*x - 8 to the form s + q*x + z*x**3 + p*x**2 + g*x**4 and give g.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 3, w: 5, g: 7}. What is prob of sequence sgs?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4710421 and 74673.\nAnswer: -4635748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5655)\/(-1508)*7\/(-5)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 - 6*r**5 - 6*r**5 + (-2*r**3 + 4*r**3 - 3*r**3)*(-4 - r**2 + 4).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8542451 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: Convert 6.135892ml to litres.\nAnswer: 0.006135892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 5707?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 1 = o + r, -5*r + 43 = 2*o. Suppose y + 5*u = -y + 6, -o = -3*y - 3*u. Solve q + 15 = x + 3*q, -4*q + 35 = y*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10685.\nAnswer: 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-220)\/1)\/(-4) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 2*v - 16, -4*v = 5*q - 10. Is 9\/3 - -34 - q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893 is divided by 308.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9784*q = -3940*q + 274480 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 182, 444, 852, 1430, 2202, 3192, 4424?\n\"Answer: 4*g**3 + 37*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 2*c + 5. Let l(f) = f. Let y be l(4). Let z(a) be the second derivative of -1\/2*a**2 + 1 + 0*a**3 - 1\/12*a**4 - 7*a. What is y*z(d) + h(d)?\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 6*h)*(4 - 3 + 1)*(-8 + 4 + 12) + 3*h - 4*h + 2*h.\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80\/15*(-3)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {h: 2, v: 1, u: 2, j: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.580418 millennia?\nAnswer: 45.80418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = -1937*w + 1964*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 678, 675, 672, 669, 666?\n\"Answer: -3*u + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980*f - 11204985 = 815*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i**3 + 95*i**2 + 12*i + 4. What is c(-6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*r - 9 = -11, 3*r = -5*n - 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 4. Let y be x(5). Let o = -3 + y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40491, -80857, -121223?\nAnswer: -161589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/24)\/(-2 - (-40)\/18). Let f(g) = -g + 2*g + 0*g + 3 + 3. Let t be f(-2). Solve j*l = b - 8, 4*l - 5*b - t = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*n + 197*i**2*z**3 + 2*i*n*z**3 + 2*i*n*z - i*z**3 - 3*i + 5*n*z wrt i.\nAnswer: -2*n + 394*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(77)*2)\/sqrt(11) + 3 - 2*(2*sqrt(14)\/sqrt(2) + -2).\nAnswer: -2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 531.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*(-18)\/12*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 2. Let j be z(-5). Let x = j + 11. Let -m**3 - 4*m - 3*m**3 + x*m**2 + 2*m**2 + 1 + m**4 = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114271242?\nAnswer: 2, 3, 19045207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/830 or 1?\nAnswer: 1\/830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1790000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(68)*1)**2*5 + sqrt(68) + -5*4*sqrt(68).\nAnswer: -38*sqrt(17) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -738.9112 + 739. Let i = -0.4 + 0.46. Let l = i - n. What is l rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406093059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 120211?\nAnswer: -120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 980632 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4955*d. Let a(p) = -30640*p. What is a(y(u))?\nAnswer: 151821200*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191177 or -191637?\nAnswer: -191637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9830*n*y**2 + 3787*y**2 with respect to n.\nAnswer: -9830*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.2616ug in nanograms?\nAnswer: 681261.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 10*n - 237*n - 10*n.\nAnswer: -242*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1168 and 40461?\nAnswer: -47258448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 5. Let r(z) = 15858*z**2 + 1 - 1 - 15803*z**2. What is f(r(x))?\nAnswer: 165*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2\/3, 0.2.\nAnswer: -4, -2\/3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*4*(0 + (sqrt(1008) + sqrt(1008)*3)**2).\nAnswer: 64517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -472646 divided by -12\nAnswer: 236323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 4*m**2 + m + 3. Let r be f(2). Let h = 1328 + -1324. Solve 3*q = -h*x - q, -r*q + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 163 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 - 0.22. Which is smaller: 0.03 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20819847 and 95331?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**9*(v**13*v)\/v)\/(v**(-2\/17)*v**(1\/5)*v))**(-41))**(-49) assuming v is positive.\nAnswer: v**(3742767\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 + 4 = 0. Let m = -0.6 + 1. Let g = -5.74 + 5.94. What is the nearest to g in -4, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384536.1m to millimeters.\nAnswer: 384536100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, s: 1, q: 6}. Give prob of sequence qh.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let q be g - (6\/3 - 2). Let d be ((-12)\/3)\/(q*2). Solve -2*u - 11 = 3*w, d*w + 11 = -2*w + u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1098172 + -3294508\/3. Let 4*x + u*x**2 + 4\/9*x**3 + 16\/9 = 0. Calculate x.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 + v**4\/12 - v**3\/6 - 11*v**2. Find h such that p(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 11:31 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-370)\/125 + 3)*(-70)\/4 and 101\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6490 + 0?\nAnswer: -6490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 719037, 719180, 719325, 719472, 719621, 719772, 719925?\n\"Answer: s**2 + 140*s + 718896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 - 2*g - 4. Let d be k(-3). Suppose j = -21 + 33. What is the greatest common factor of d and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 + 2*h + 5. Suppose -3*t = -33 - 3. Let k = 8 - t. Let c be j(k). Put c, -2, -4 in descending order.\nAnswer: -2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = -4*i. What is the remainder when 404 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 43 - 399. Let t = 91 - o. Solve 2*v + 13 = j, -t*v = -j + 3*j - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 + t - 24 - 13*t - 4*t + 14*t in the form o + a*t + r*t**2 + k*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Suppose g + 466 = n*g. Is 26 a factor of (-6)\/(-27) + g\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9618 + -9613. Solve -4*t - v = -2*t + s, 0 = -4*t + 3*v - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136))\/sqrt(8) + (sqrt(17) + sqrt(119)\/sqrt(7)*1)**2.\nAnswer: 3*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 + 39320*l - 550872 = 0.\nAnswer: -19674, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/8)*k*(k*k**22)\/k*k assuming k is positive.\nAnswer: k**(193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69649967 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. Let b be (3\/k)\/((-5)\/10). Let n(t) = -4*t + 1. Calculate n(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37182 and 130137?\nAnswer: 260274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/119? (a) -29 (b) -0.005 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 208, 402, 586, 754, 900, 1018?\n\"Answer: -t**3 + t**2 + 198*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. What is the third smallest value in -0.4, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k + 100. Let v be z(5). Let o = -39.1 + 39. Which is the fourth smallest value? (a) v (b) 4\/5 (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oevcrte. Give prob of picking 1 c and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 * 6.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816*d = 812*d + 45312. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 8) to base 14.\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57527 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/4 (b) 0.01 (c) -18 (d) 4 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33473541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2630, 5268, 7910, 10556, 13206, 15860, 18518?\nAnswer: 21180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*((-1375)\/(-10))\/(765\/(-459))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + (-37)\/(-4). Suppose -c - 2*c + r = 0. Suppose -5*z = -2*a - c*a, -3*a - 2 = -4*z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 8\/7 (c) 8 (d) -0.2 (e) -2\/41 (f) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 19591.\nAnswer: 137137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*w + 211 = -138, 0 = -2*c - 4*w - 130. Let r = c - -378. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10732 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 8*f - 1. What is the tens digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 + 2*q. Let x be h(-1). Let p be (x\/1 - 8)*(-24)\/48. Let y = -43\/120 + -1\/24. Sort p, 0.3, y in decreasing order.\nAnswer: p, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7341 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 + 17587110*p**3 + 15464811873005*p**2 - 897003461400600*p + 13006764659858000 = 0. What is p?\nAnswer: -1758740, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-24)\/q)\/(q\/q**(-2\/29)*q))\/((q**(1\/4)*q)\/q*q*q*q\/(q*q**(-26\/3)*q)))**(5\/12) assuming q is positive.\nAnswer: q**(-64355\/4176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 36 = o, 0 = -5*k + o - 3*o + 32. Suppose 0 = -k*f - 12 - 268. Let m = -32 - f. Calculate the greatest common factor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(49)\/(sqrt(7)*-1 - sqrt(7)) - (sqrt(7) + (sqrt(560) + sqrt(35))\/sqrt(5) + 5)).\nAnswer: 27 + 39*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517412 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100101 + -1000?\nAnswer: 111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11023627673775 + -0.4.\nAnswer: -11023627673775.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/(w\/(((w**(3\/2)\/w)\/w)\/w*w*w)))**(-3)\/(w**(-3\/4)*w*w**(3\/8)*(w*w**(-2\/7))\/w**(1\/3)) assuming w is positive.\nAnswer: w**(-1933\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -714 + 1944 + 18*d - 687 - 627 to u + o*d and give u.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -24*k + 1. Let s(v) = 121*v - 4. Let c(q) = -11*h(q) - 2*s(q). Does 30 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -178, 9, 1, -63, 2\/7, -10?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 45*x - 4280 = 0. Let b = x - 1518. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6594 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2583 + -7745\/3. Which is the fourth smallest value? (a) 6 (b) k (c) 1 (d) -1\/2 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-11))**(1\/18) assuming c is positive.\nAnswer: c**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) + sqrt(539) + (sqrt(539) + 3)**2 + 0) + -3)*-4.\nAnswer: 224*sqrt(11) + 2204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z - 124*z = -210*z - 90*z + 9660 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.054 and 1943.\nAnswer: 1942.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5118588km?\nAnswer: 511858800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -4 (b) 3 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 33849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -39?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30065069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + -75 + 0 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2849 divide 188821201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-6)\/63). Let i(n) = -103*n**3 - 2*n + 102*n**3 - 7 + 5*n**2 - 2*n - 2*n. Is i(j) 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 5482 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 10644.\nAnswer: 42576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, -29 in decreasing order.\nAnswer: 5, 3, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r + 5*i = 41, 10 = 2*i. Which is the nearest to 5? (a) -5 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d00 + -2cb?\nAnswer: a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -808 + 803. Which is the nearest to 0.1? (a) u (b) 2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/4 (b) 2\/11 (c) -781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 23189474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 1, g: 2, r: 2}. What is prob of picking 1 d, 2 g, and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + 1 + sqrt(200) - sqrt(200) - sqrt(200)) + 3 + 0 + sqrt(200))**2 - (0 + sqrt(200) + 1 - -5*(2 + sqrt(200)))**2.\nAnswer: -7319 - 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140919431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*a - 271, -2*a + l + 430 = 3*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.1. Let k = 0 + -0.4. What is the second smallest value in k, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3553382cm?\nAnswer: 3.553382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89272 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729677027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78 and -649849.\nAnswer: -50688222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10895 and 0.4?\nAnswer: 0.04358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356*-7.\nAnswer: 9492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 745 = -2*x, 3*a - 2954 = -4*x - 717. Let r = a - 1531\/2. Find the common denominator of r and -41\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1574\/13 + -16061\/78. Let z = 85 + f. Which is the third smallest value? (a) -4\/9 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/11875509 or 0?\nAnswer: 125\/11875509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*f - 49*f - 338 - 181 = -99 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-200)\/(-4))\/(4\/2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 103 = -50. Let l = 55 + v. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = 149 + 91. What is the tens digit of ((-21511)\/(-28) - 2) + 2\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 + 6)) + (-1626 - 124)\/35?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1258*u + 1258*u + 7*u**2 + 151 - 313 + 162.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 182.7534 * 0.5\nAnswer: 91.3767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + 10. Suppose -5*d = -i*d. Is d greater than 3\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 146, 149, 162, 191, 242, 321, 434, 587?\n\"Answer: t**3 - t**2 - t + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-12))\/((-3)\/((-1)\/((-2)\/28))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(136)*-3*-2*3)\/((sqrt(648) - 1*(sqrt(648) + sqrt(648)*-2) - sqrt(648) - sqrt(648) - sqrt(648) - sqrt(648)*1*-3)*-1).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 860\/(-170))\/((-62)\/527) + 39\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7\/3)*q**2*q)\/(q*q*q*q**16*q*q*q\/q**(-2\/11)*q*q))**(-4\/13) assuming q is positive.\nAnswer: q**(3104\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134809856 a multiple of 5437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*u**5 - 4*u**4 - 7\/2*u**3 - u**2 + 0*u.\nAnswer: -u**2*(u + 1)**2*(3*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -48. Let i be 0 + 1 - (5 + k). Is (35\/(-20) - i)*844 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1413*p**3 - 822*p**2 + p.\nAnswer: -8478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 31119?\nAnswer: 31119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9478?\nAnswer: 2, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from wiwwwiiiii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 113*i - 102. Let m be u(4). Let a = m - 332. Calculate the smallest common multiple of a and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -1\/12*n**3 + 3\/4*n + 1\/4*n**2 + 13. Factor q(s).\nAnswer: -(s - 3)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:55 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 4, -4 in descending order.\nAnswer: 129, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 12\/1193?\nAnswer: 12\/1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 87*z**3 + 6*z. Let w(n) = 265*n**3 + 19*n. Determine 10*i(m) - 3*w(m).\nAnswer: 75*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z - 49 + 25 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 0*y + 0*y**2 + 3*y**4 - 9\/5*y**5 + 76*y**3 - 212. What is the third derivative of p(i) wrt i?\nAnswer: -216*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7042, -7022, -7002, -6982?\nAnswer: -6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = 5*b. Let c(d) = -b + 2*d**2 + 5 + 5*d + 5 - 2. Calculate c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + 0 + (5 + sqrt(1872) + -3 - sqrt(1872)))*-6)**2*3.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - -2.92. Let d = -0.2 + z. Let n(m) = 2*m + 3. Let h be n(-3). Put h, d, 0.3 in ascending order.\nAnswer: h, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539475 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564 = 477*k - 571*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 972 and 46224?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/10 - 4*b - 39\/10 = 0. What is b?\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 2. Let s(h) = -h + 1. Suppose -11 = -4*w - 3. Let g(p) = w*y(p) + 6*s(p). Let l(d) = -1. What is -g(o) - 8*l(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(135))\/(sqrt(40)\/(sqrt(8) - (sqrt(200) - sqrt(8)))) + sqrt(1350)\/sqrt(2) + sqrt(27)*-5*5.\nAnswer: -51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240803\/5 + -48154. Factor -1\/5*m**2 + 34\/5 - f*m.\nAnswer: -(m - 1)*(m + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a**2 + 13*a + 12. Let l be (-1467)\/135 - 4\/30. Let b be (-6 - -4) + 1 + l. Let g be k(b). Are g and 29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742 (base 10) in base 7?\nAnswer: 5036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001562 to six decimal places.\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n + 5. Is 10 a factor of (5\/(-4))\/(1\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = 8*n - 505 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - 25)) + (232 - 245) + -67\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4) - 3 - -1)*0. What is the third biggest value in k, 9, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and (-1)\/(-5) - 5166\/2880?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1900513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 9\/2*h**2 + 14\/3*h**6 - 23 + 0*h + 0*h**5 + 0*h**3 + 0*h**4. Find the second derivative of t(n) wrt n.\nAnswer: 560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*q + 35, -4*h + 30 = -7*q + 4*q. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66956, 133909, 200862?\nAnswer: 267815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4538564t?\nAnswer: 453856400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457589 bigger than 457590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*-2*48\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1088) + 4*(-1 + sqrt(17)) - (-6*(sqrt(187)*1 + sqrt(187)) - sqrt(187))\/(sqrt(539) + -2*sqrt(539)).\nAnswer: -4 + 239*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.01. Let p = -0.10999957 + f. Round p to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 676 - 676.0471. Let z = j - 0.2529. Which is the closest to -1\/3? (a) -1 (b) z (c) -5 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - -279. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001 + 1001100001100110?\nAnswer: 1001100100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/192 and -31\/240.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, k: 1, y: 1, q: 1}. What is prob of sequence uk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let y(m) = -86576177*m. Calculate y(u(c)).\nAnswer: 86576177*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*w**3 + 15*h*w**2 + 2*h + 3931*w**3 wrt h?\nAnswer: -2*w**3 + 15*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245775 to the power of 1\/2, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:40 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-10)\/(-4))*4*44\/(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8615, 17428, 26241, 35054, 43867, 52680?\n\"Answer: 8813*q - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12722 - -12738. Let q = 1 + 2. Solve q*z + z = b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -3. Let g = 0.17 - -6.63. Let s = g - 7. Which is the biggest value? (a) n (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -19*v + 17*v. Suppose 3*w + 15 = 0, 4*w + v = 2*t + 10. Which is bigger: t or 35?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3234)\/(-10) - 63\/(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**2 - 16*q - 86. Give v(-4).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, 558, -6.\nAnswer: -6, -5, 2, 3, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-912)\/84 + -7 + (-3)\/(567\/(-78)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10703.\nAnswer: 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p**3 + 1497135*p**2 + 7349399937*p - 1222373622267 = 0 for p.\nAnswer: -50307\/5, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 4*z + 1. Let u be n(-3). Let l = -3549 - -3573. Calculate the greatest common divisor of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 163?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 13*p - 2. Suppose 0 = 4*h - 3*r - 26, -h + 5*r + 22 = 3*h. Let l = -1 + h. Solve p + l = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 54*i**2 + 19*i + 4. Let s(g) = 107*g**2 + 35*g + 7. Give -6*s(t) + 11*z(t).\nAnswer: -48*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348.886 - -350. Let i = o + -18.174. Round i to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 - 35*b**2 - 70*b - 40 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 + 196 + (29 - 102)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*i + 1, 3 = 2*g - i - 4. Suppose 5*h - 25 = -2*c - c, -28 = -4*h - g*c. Determine a, given that -a**3 - 2*a**h - 8 + 4*a - 16*a - 4*a**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/20 - -7\/4. Let h be ((-4431)\/844)\/(21\/24). What is the third biggest value in -0.4, 1\/8, h, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4049817, -8099587, -12149357, -16199127, -20248897, -24298667?\nAnswer: -28348437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36 - (-4)\/2) + -4. Suppose q - s = -36. Is ((-4)\/(-16))\/(1*q\/(-10552)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13341907?\nAnswer: 149, 151, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 2, -2, -0.6, -11 in ascending order.\nAnswer: -11, -2, -1, -0.6, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25393?\nAnswer: 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408224663?\nAnswer: 7, 11, 37, 143287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2648099\/2924 - -444\/731. Let m = f + -11113\/12. What is the common denominator of 47\/3 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5128?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 42117?\nAnswer: 168468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (-4)\/(-8)*0. What is the third derivative of -9 - j*x**2 + 9 - 2*x**4 + 5*x**4 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-320)\/(-384).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17867400 divided by 59558.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -1\/5, -332, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -2 + -1 + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31491 - -11626. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 10. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333 + -332. Which is the third biggest value? (a) 12 (b) u (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74045 and 460585.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrmcmmmcprm. What is prob of sequence mpc?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/8)*a)\/(a\/(a**30\/a)))**(1\/42) assuming a is positive.\nAnswer: a**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149\/517 - -5\/47. Which is the smallest value? (a) -1 (b) q (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -29, -63, -111?\n\"Answer: -7*w**2 + w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2940*b + 84. Let g(j) = -346*j - 10. Let n(w) = 42*g(w) + 5*r(w). Let x(f) = 25*f - 5*f - 17*f. Give x(n(z)).\nAnswer: 504*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*3*(-2)\/(-18) - -1. Suppose -5*x + 16 = 3*c - 7*x, -4*x - 28 = -r*c. Solve 3*i = -c*j - 15, -5 = -0*i + i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392476 rounded to the nearest 10000?\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -44. Suppose -2*s + i*s + 1200000 = 0. What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42923 is divided by 14268.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225 - 1?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**4 - 5*r**2 - 3*r**2 - r**2 - 7*r**4 wrt r.\nAnswer: -240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19051, 37915, 56777, 75637?\nAnswer: 94495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/216 and 93\/40?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 27, 32, 37, 42, 47?\n\"Answer: 5*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1084 + -1077. Solve t = -4*w - d, 0*w + 5*t - 40 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1767*a*p**3*v**2 - 2*a*p**2*v - 43*a*v**2 + p**3 - p*v**2 - 22942*p*v wrt v?\nAnswer: 3534*a*p**3 - 86*a - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*2*-12*16\/(-168).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)**(-38))**(2\/5) assuming i is positive.\nAnswer: i**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {v: 12, k: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -0.93. Sort 1\/9, x, 0 in descending order.\nAnswer: 1\/9, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/3 + 17*f**4 + 232*f**3 + 604*f**2\/3 - 4160*f + 5376 = 0. What is f?\nAnswer: -24, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 28. Let k = -166 + 170. Sort -0.1, o, -0.2, k in descending order.\nAnswer: o, k, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 533887257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21761 divided by -463\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*1*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 8. Let q be d(8). Let i be (q + -1)*(3 - 5). Suppose 3*x = -4*o + 21, 6*x = i*o + x - 17. Calculate the smallest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 6, h: 8}. What is prob of sequence ccth?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 6968957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 32 = 8*m. Suppose r = -m*r + 105. Solve 3*j + j - r = -b, j - 5*b = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188 + 1754. Suppose 5*g = -326 + p. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 33*u - 30660 = 0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -1. Let w = -489821 + 489797.0053. Let f = w + o. Round f to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2427 + -2427. Solve 2*o - 3*s - 5 = f, -s = -124*o + 123*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 5. Let u(b) = -5*b - 7. Let x be u(-3). Suppose -4*j = -t - 98, 5*t + 365 = -x*j + 3*j. Let d = t - -74. Calculate l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -13. Suppose -r = -2*x + 20. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1245113324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (2 + sqrt(2736)) - (1*sqrt(1216))**2.\nAnswer: -1218 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2136*m - 150. List the prime factors of j(28).\nAnswer: 2, 3, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**3 + a**2 - 12*a + 55. Let l(k) = -10*k**3 + 2*k**2 - 10*k + 53. Let s(t) = -5*g(t) + 6*l(t). What is the derivative of s(v) wrt v?\nAnswer: -15*v**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*k + 162, k - 621 = -7*j + 3*j. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 157\nAnswer: 6123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (18 + -8 - (0 - (5 + -4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*5 + (sqrt(78) - 5*(sqrt(78)*-2 + sqrt(78))))\/(2*sqrt(66)\/(-1*sqrt(11)*2)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 2*n + 6*n)*((1 - 2 - 1)*(-2 + 5 - 5) + 0 + 0 + 1).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492198 is divided by 177?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - q = -50, 6*c - 2*c + 4*q - 24 = 0. Let r(y) = -y**2 - y + 11 - c. Let g be r(-1). Solve g = -v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, d: 2}. What is prob of sequence dh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:21 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 326, 332, 352, 392, 458, 556?\n\"Answer: f**3 + f**2 - 4*f + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - w**2\/2 - 3*w - 117. What are the prime factors of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 15179.\nAnswer: 15194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 49*o - 47*o - 1338 = -15*x, 5*o = -3*x - 0*o + 111 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 2. Suppose y = 2 - 3. Let g be y\/((-1 - 0)\/1). What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 4*l**2 + 5*l**2 + 3*l**2 - 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 0.63. What is the nearest to r in 3\/2, 41, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3111676, 3111713, 3111750, 3111787, 3111824, 3111861?\n\"Answer: 37*c + 3111639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/11 - 156*c**3\/11 - 1358*c**2\/11 - 144*c + 3096\/11 = 0. Calculate c.\nAnswer: -6, -3, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34556\/(-18) + 56\/(-252). What is d rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/65617893 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*b + 10, 0 = f - 2*b - 3 - 8. Suppose 0 = -c + f*c + 44400. Round c to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 20466 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*l - 24 + 65, 0 = -18*z + 5*l - 160 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26735*c**3*g - 20003*c**3 with respect to g.\nAnswer: -26735*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281216 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 112.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*i - 404*i = -176*i - 67*i + 9075 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45219 - 26478. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756487841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30987, -30972, -30947, -30912?\n\"Answer: 5*g**2 - 30992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*b - 64 = 0, -2*b - 59 = -2*t - 13. Suppose n - 5*f - t = 0, 4*f + 43 + 22 = 3*n. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from zzcfz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110023 + 3231?\nAnswer: 113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -626, -873, -1124, -1379?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961757 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13538088 is divided by 27405?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 0.12.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5550*w**3 - 344*w**3 - 973*w**3 + 2349*w**3.\nAnswer: 6582*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -85, -74, -63?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.80664 millennia in centuries?\nAnswer: 938.0664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1838.077 - -1837. Let o = g + 0.9259. Let k = -0.15 - o. Round k to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/1 - (-147791)\/3437?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/4? (a) -1\/21 (b) 0 (c) 1\/6 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 4*t**2 + 2*t + 28. Calculate x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**2 - 9*q - 14. Let c(o) = -4*o**2 + 4*o + 7. Let p(d) = 5*c(d) + 3*z(d). Give p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 322112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 14. Determine t(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34195 is divided by 108?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 44, -73 in increasing order.\nAnswer: -73, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - c + 4*c - 438 + 389 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 + 14*m**2\/3 - 290*m - 62234\/9.\nAnswer: 2*(m - 37)*(m + 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(sqrt(114)*-1 - sqrt(114)))\/(-1*sqrt(18)\/sqrt(3)) + 2*(0 + -1*sqrt(171) - ((sqrt(171) - (sqrt(171) + 0)) + -3)))**2.\nAnswer: -312*sqrt(19) + 12880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.4, 7, 259?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y + 0*y - 2*y + 3*y as d + t*y and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3426 + -3435. What is the nearest to -0.2 in z, 5.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*z = -6, z - 20 = 5*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l = 90*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by 175916.\nAnswer: 193\/175916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddaxxddxdxxsxdd. What is prob of sequence saxd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12574930.\nAnswer: 2, 5, 1257493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -29, -251, -725, -1535, -2765, -4499, -6821?\nAnswer: -9815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 20*t**2 + 358*t + 3796. Give z(-28).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*s + 1 = 4*s, -6 = -2*y - 4*s. Let b(o) = -7*o**2 + o - 9. Let w(g) = -4*g**2 + g - 5. Determine y*w(q) - 3*b(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 4*o - 16900, -5*h + 4*o = -21127. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*z**2 + 757*z + 60073 with respect to z.\nAnswer: -32*z + 757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 11. Suppose 0 = 4*h - 5*h - 3. Let r = h - -1. Let p(u) = -u**3 - 3*u - 3. Let m be p(-2). Let z(x) = x**2 - 2. Determine m*z(k) + r*w(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43952 * -0.4.\nAnswer: -17580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33073841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 8151 - 8156 = -3*m, -2*p = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 28\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-80) + (-360)\/225)\/((-3)\/(-65))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/95))\/j**(-15) assuming j is positive.\nAnswer: j**(1518\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + 3 - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -425632900 to the nearest one hundred thousand.\nAnswer: -425600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*y = 23, 1919*y = 143*c + 1914*y - 311 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10)\/(2\/20). Let n = s - 2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 340 - 470 = -12*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -35*k**5 + 225*k**4 - 475*k**3 + 375*k**2 - 90*k = 0.\nAnswer: 0, 3\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 2\/7, 1\/14, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98218*i - 599193 wrt i.\nAnswer: 98218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Suppose -2*h = -8, -r*j - 2*h = -0*j - 604. List the prime factors of j.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**8\/28 + 31*l**7\/14 + l**6\/10 - 47*l**4\/6 + 2*l**3\/3 - l**2 - 24*l - 79. What is the third derivative of o(j) wrt j?\nAnswer: -240*j**3 + 5580*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(208)*6*-3)**2 - (((6*sqrt(208))**2 - sqrt(208)) + -4 - (sqrt(208) + -2)*-4).\nAnswer: -3377076 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 - 18 = 0. Solve g = -x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*m**2 - 62*m + 62*m)*(15*m**2 - 59*m**2 - 102*m**2) + (-2 + 2 - m)*(-3*m**3 + 4*m**3 + m**3).\nAnswer: 4378*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 19*o**3 - 4*o**2 + 4*o + 4. Let x(z) = 49*z**3 + 15*z - 149 + 3*z**3 - 15*z**2 + 164 - 20*z**3 + 43*z**3. Give -15*h(n) + 4*x(n).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d + 13. Let b be n(7). Solve b*o = -0*o + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10866 - 10866 - 82*n + (2*n + 0 + 0)*(-4 + 2 - 1).\nAnswer: -88*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/360 + 31*h**4\/24 + 961*h**3\/4 + 176*h**2. What is b in z(b) = 0?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(75)\/(sqrt(5)*2)*-5)\/(5*sqrt(35)\/(sqrt(14)\/sqrt(8))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563\/(-5210) + 2*(-10786)\/(-40) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/18 + 7\/3. Suppose y + 0 - f = 0. Let v = -10.3 - -10. Which is the nearest to -1? (a) v (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*v + 7, 3*q - 17 = 4*q - 3*v. Let k be (0 - q) + 60141 + 1. Suppose -l + 569856 + k = 0. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.712 - -8762.4004?\nAnswer: 8964.1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 49241489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 2*p, 5*p = 4*v - 3*v + 27. Suppose 0 = -i + p + 1. Which is greater: i or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 7*n = g, 2*g - 5 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 20*h - 32 - 6, -3*h + 16 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10265 is divided by 933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a minute in seconds?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44406*o**3 - 859*o**2 + 8*o + 3 wrt o.\nAnswer: -266436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.4. Let h = -293 + 290. Sort -0.2, n, h.\nAnswer: h, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 149415 and 149416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 441 in 9, 1\/2, -136?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 17. Let o be r(6). Suppose 3*l - f = 26, -4*f = 2*l - f - 21. Let d = l - o. Let v(g) = -4*g + 2. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1873563, 1, -0.1.\nAnswer: -1873563, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let o(c) = -136*c + 47*c + 52*c + 47*c. Give -o(m) + 4*z(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 112, 160, 204?\n\"Answer: -2*k**2 + 58*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voov when four letters picked without replacement from kkocvppkokvvkqokvopv?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/21 - 172\/(-6) - 2. Is k\/(-65) + (-27957)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280.6 - 281. Let l = -73 - -367\/5. What is the nearest to -1 in l, -5\/7, j?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f + 3*b, b = -3*f - 2*f + 19. Suppose f*z - 400 - 172 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a76a18 + 1?\nAnswer: -a76a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8739*r**2 + 34*r - 225. Let v be c(19). Suppose -v = -w + 30*w. What is w rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -775*d**3 - 87*d - 245. What are the prime factors of c(-3)?\nAnswer: 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319381 rounded to the nearest one thousand?\nAnswer: -2319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/(343\/(-1372))*24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + (5\/5 - 11). Sort k, -3, -249 in ascending order.\nAnswer: -249, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0.4 (c) 0 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -7985*3\/2082. Let y = s + 2\/347. Find the common denominator of 36\/11 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 + v - 1. Let t be n(1). Suppose -1403 = -4*c - t*k, -6 = -2*k - 16. Is c > 357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:58 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t - 1. Let j(r) = -2*r**3 - 4*r - 6. Suppose 0 = -7*g - 7. Calculate g*j(a) + 4*s(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27565 - 59437 = 0. Let f be a\/(-10) + 1\/5. Round f to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-31)\/u*u**11 assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 + (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(1377) + 5) + 2 + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 0)))**2.\nAnswer: 3528*sqrt(17) + 68257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d + 1 + 0)*(-58*d + 22*d**3 + 58*d) + (-1 + 1 - d**2)*(9*d**2 - 7*d**2 + 2*d**2) in the form y + v*d + o*d**2 + x*d**4 + i*d**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525374 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 764\/635 + -2\/635. What is the nearest to 0.1 in 0, m, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:27 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 2*v**3 + 3*v**2 - 2*v**2 + 2*v**2.\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + (sqrt(95) - (1*sqrt(95) + sqrt(95))))*-4 + -2*sqrt(95)*2)*5)\/((sqrt(15) + sqrt(15) + sqrt(180)\/sqrt(3))\/(3*(sqrt(27) - sqrt(3)))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0078 + 32.3078. Let q = -6.3 + s. Let z = -25.9999973 + q. What is z rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17730 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55.2 - 51.2. Let v be ((-4)\/(-6))\/(2\/9). Let j be (-45)\/(-6)*3\/(-30). What is the third biggest value in v, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:11 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fbblj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let v(q) be the third derivative of -7*q**4\/4 - 28*q**3\/3 - 16*q**2 - 2. Let i(z) = -z - 1. Let c(j) = -56*i(j) + v(j). Give c(p(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 10*t - 6*t - 21, -k - t + 6 = 0. Suppose 0 = -4*z + u - 3*u + 98, 0 = -k*z + 4*u + 46. Calculate the remainder when 29 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 16881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2272766520?\nAnswer: 2, 3, 5, 18939721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46934 or 46936?\nAnswer: 46936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 q, and 1 e when four letters picked without replacement from {m: 1, p: 1, q: 3, n: 6, e: 3}?\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3648)*-3)\/(sqrt(363) - -4*sqrt(363)))**2.\nAnswer: 10944\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -554713, -554714, -554715, -554716?\n\"Answer: -q - 554712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(242))**2*1 + sqrt(2) - sqrt(2)).\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -18*h - 1. Let w be d(-1). Suppose -f = 1 + w. Let v be -21 - f - 14\/(-4). What is the third smallest value in v, 1\/4, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -54. Let p = -37\/45 + -1\/90. Which is the third smallest value? (a) p (b) h (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 3. Let q be l(2). Suppose -q*d + 8 = -d. Suppose 60 = 2*t + 3*j, t = 2*t - d*j - 19. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21325697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-15) + 8\/(-45)*12. Sort p, -3, 10, 4.\nAnswer: -3, p, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 0.3, 0.13, -14 in increasing order.\nAnswer: -14, -9, 0.13, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:24 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/u**(3\/5))**(2\/43)*((u*u\/(u*u**(2\/9)))\/u**(-8))\/(u**(2\/5))**(1\/4) assuming u is positive.\nAnswer: u**(6587\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 + 602*t**4 - 1004*t**3 - 262*t**2 + 199*t + 4.\nAnswer: 120*t**2 + 14448*t - 6024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 641 = 10*d. Let w(z) = -3*z - 4. Let u be w(-2). Solve 2*y + 1 + d*y**u + 2 - 76*y**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614644.64 rounded to the nearest 1000?\nAnswer: 615000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.40584 litres to millilitres.\nAnswer: 2405.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 653*i**6\/30 + 2651*i**4\/24 + 375*i**2. What is the second derivative of r(p) wrt p?\nAnswer: 15672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3483951 is divided by 145144.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -19538?\nAnswer: 2735.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-27 - -16 - (-13 - 1)) + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547.93413ms to hours.\nAnswer: 0.000152203925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, 4, -155?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:01 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10177730 and -1\/18?\nAnswer: 91599570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.6232 + 0.0232. Let m = 48 + f. What is the biggest value in -3, -0.3, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/238937 + -153158551\/7884921. Let p be (-29)\/(-9)*(-54 - -48). Let x = p - s. Is x not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*o + h, -o - h + 5 = -8. What is the remainder when 4*4\/48 - (-616)\/24 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -7 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39287\/16260 - 2\/4065. What is the common denominator of d and 69\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15043 - -15560. Solve 15*b + 427 = l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a6 (base 13) to base 14\nAnswer: -25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 35070396?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 26 = 2*b, 3*b = 4*d + 20 + 11. Let w(f) = -49*f - 298. Let l be w(-6). Sort l, 3, b.\nAnswer: l, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1696784347 and 1696784346 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 0*v**5 + 2*v**5 + (-2*v - 4*v + 5*v)*(15 + 15 - 57)*(3*v**4 - 2 + 2).\nAnswer: 82*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 9\/6)*(-4)\/51)\/((-1146)\/(-5730))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b - 5436?\nAnswer: -55a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2 + 45*a - 232 with respect to a.\nAnswer: -2*a + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*j + 28, 0 = 2*o + 4*j - 79 + 31. Suppose -107*l**4 + 4*l**5 - 15*l**3 + l**5 - 20*l**2 + 117*l**4 + o*l = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000 (base 3) in base 15?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5 + 2 + 4*y + 4*y**3 + 6*y**2 + 6*y. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snss when four letters picked without replacement from {c: 4, n: 3, s: 7}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/120 and 149\/755256.\nAnswer: 3776280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcci when four letters picked without replacement from ccyymcymciicyccyi?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62.5778 and 0.5.\nAnswer: -62.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o - 2*c + 12, -2*o = 5*c - 19. Suppose -o*f + 71 + 11 = 0. Let g = -13 + f. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245449 is divided by 30673.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457.8 - -421. What is g rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-45)*-34 + -4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/420 - n**6\/120 + n**3\/6 - n**2. Let m(x) be the first derivative of p(x). Find the third derivative of m(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -485*u - 14530. Give i(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0415532572 to 6 dps.\nAnswer: 0.041553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12, -2*f + 3*f + 5*y = 20. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6 times 586?\nAnswer: 16759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - ((-4)\/24 - 376474\/(-168)). Which is greater: -2245 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 767\/(-91) + 3 + 5. Which is the second smallest value? (a) -27 (b) y (c) 2\/9 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 134.44\nAnswer: 26.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27 - (-832)\/24) + (-22)\/6. Solve -59 + 57 = 2*z - s*q, -4 = -z - 3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275 + -272. Suppose 5*y + 5*t = 25, 4*y - 2*y = -p*t + 6. Calculate the remainder when 44 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/10*1856606\/12. Let a = j + -27542389\/24. Let c = a + -12775. What is the common denominator of -67\/27 and c?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177406\/75 + -7096\/3. Which is the nearest to h? (a) -0.2 (b) -18 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*w + 725 - 91 = 0, -2*m + w = -634. What are the prime factors of m?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42188 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let s = -1805 - -1810. Which is the nearest to u? (a) 0.3 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28310100 and 6661200?\nAnswer: 113240400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (5 - (1 - 1)). Let b = 234 + -230. What is the nearest to g in b, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) 5 (c) 35 (d) -214 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12*m - 8*m = 0, -m - 1 = 0. Solve -5*n - 5*l = 0, 0 = -n - 0*n - p*l + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190*v**2\/7 - 178*v\/7 - 12\/7.\nAnswer: 2*(v - 1)*(95*v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 134, 298, 528, 824?\n\"Answer: 33*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88918934477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 319 and 5220.\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -820.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/10*(120 + 0). Suppose 4*p - j = -p. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7147\/3)\/(-7)*-3*10. Suppose 5*n - j = -5*u, u + u = -3*n + 6125. Suppose -n = -x - 3*y, 0 = -0*x + 2*x - 3*y - 4118. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 99 in descending order.\nAnswer: 99, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 1080 = 21*b. Find the second derivative of 2*d + 230*d**4 - b*d**4 - d wrt d.\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-183)\/27 + 2 - 84\/378. What is the nearest to -1\/6 in 0.3, c, 3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*l**3 - 42*l**2 + 1 wrt l.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = b + 3180. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569652870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, h: 1, n: 10, q: 1, f: 3}. Give prob of sequence qfs.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 8*u - 1. What is m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 35 = -11. Calculate the least common multiple of i and (-27)\/18 + 10\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 12, 8, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4311\/(-1916)*(6\/(-135)*-2)\/(4\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 - 58*h**5 + 911*h**2?\nAnswer: -360*h**3 - 3480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*a - 16*a - 1260. Which is bigger: a or 83?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12988, -55836, -127246, -227218?\n\"Answer: -14281*k**2 - 5*k + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 660407.3 microseconds?\nAnswer: 0.6604073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*w + 3 - 8 = v, 1218*w = 1216*w - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32618*s**2 - 148220*s wrt s?\nAnswer: 65236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-373 + 127 + 171)*(-3*a + 3*a - a) as j*a + w and give j.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (-3 - 2 + 4)*(0 + 0 + 1))*(-2 + 2 + 6*n**2).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.177055512 take away 195?\nAnswer: 815.177055512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5397 is divided by 404?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10133157, -10133156, -10133155?\n\"Answer: y - 10133158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2065.108899\nAnswer: -2061.108899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3442 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 2\/59 (c) -3 (d) -5 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -4)*9\/(-81). Suppose y + 1 = 6. Which is the second smallest value? (a) -3 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 4.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-1)\/(-2)*-3. Suppose -f - 19 = -4*j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebb. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + -408. Let b = -347 - v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b190 (base 13) to base 10\nAnswer: -24453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022340683 rounded to 5 decimal places?\nAnswer: -0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2*y + 15, 763*b + y = 758*b - 57 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 0.16. Put t, -2, 0.05 in increasing order.\nAnswer: -2, t, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.56867 millimeters?\nAnswer: 35568670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/581 or -13\/7?\nAnswer: 25\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1364 and 496.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201513437 is divided by 3717?\nAnswer: 3716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 2*s + 82 = 0, -13 = -4*s - 33 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-8) - 8\/(-16)*-2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z - 4*o + 24 = 0, -z - 3*o = -8. Let n be (-1 + 76\/z)*2. Let v = 78 + -27. What is the highest common factor of n and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)\/(r*r\/r**(1\/16))*(r*r**(-2\/3))\/r**20 assuming r is positive.\nAnswer: r**(-1517\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, 192, -54\/29?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -225313, -225312, -225311, -225310?\n\"Answer: i - 225314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -11016.506?\nAnswer: -771.15542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 - 6. Calculate q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13516.\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34774311*p**2 - 3*p + 1433934 wrt p.\nAnswer: -69548622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20014 (base 5) to base 14.\nAnswer: -65d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z, -5*w + 2*w + 319 = -5*z. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 6*g + 10. Let a be b(3). Let j be (16\/10)\/(2\/5). Let v = j - -11. Calculate the highest common factor of a and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 + -243. Differentiate -93 - 134*u + 0 - v + 12 wrt u.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 2:11 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -0.85.\nAnswer: 0.0595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-30)\/(-8) - 42\/56. Solve -z = g + 2, -2*g + l*z = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.25 - -6. Let u = p - -1.3332. Let t = -0.07 + u. Round t to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47278, 189128, 425544, 756526, 1182074?\nAnswer: 1702188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 41 - 54 = 31. Solve 3*l = v*b - 12, 13*b + 5*l = 11*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -561.8000021121 - -561.8. What is g rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/18*12\/(-5). Let n(z) be the first derivative of z**4\/2 - 2*z**3\/3 - 8*z + 1141. Let p(v) = -v**2 - 1. Give u*p(i) + n(i).\nAnswer: 2*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6181 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 431 = 5*v - 2*i, 0 = -4*v + i + 343. Let b = 88 - v. Solve 2*x + b*t + 9 = 2*t, -30 = 5*x - 5*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5523 or 1176686\/213?\nAnswer: 1176686\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -238 (b) 11 (c) -18 (d) 1\/6 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 841 or 399?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 469*f + 466*f - 3740 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726740 (base 8) to base 9.\nAnswer: 406671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 46. Suppose 2*g - 4 = v. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8*i + 1835 = -3*i, -2350 = -5*t + 5*i. Is t at most as big as 464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 3. Let o = 6 - 0. Suppose -o*m = -v*m + 15. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -1601\/9. Which is the third smallest value? (a) 0.5 (b) 1\/4 (c) n (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6369451?\nAnswer: 11, 439, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23.2747354*-0.4\nAnswer: -9.30989416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1009 - 14129\/14. Let x = 55 - 51. What is the third smallest value in x, -5, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 279\/378 + 4\/(-7). Which is the third biggest value? (a) -1\/11 (b) -3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -220542.\nAnswer: -220542, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2451 - 1330. Suppose -5*p + 5134 = -w. List the prime factors of p.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63\/25 + -214\/75. What is the fourth biggest value in 4, c, -2\/9, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)\/(3*sqrt(9)) + sqrt(2).\nAnswer: 4*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -35. Suppose 0 = -2*s + i + 81. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1668 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -22*m**2 + 266*m - 167. Let a be d(6). Solve -29 = 5*z - 2*l, 21 = a*z - 5*z + 3*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0715 in 0.3, 0.5, -2\/7, -159, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:34 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Find the second derivative of -i**5 - 11*i + 10*i + 6*i**5 + 6*i**d wrt i.\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369\/10 + -1877\/55. Find the common denominator of v and (-7260)\/75*(-2)\/(-32).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**2 - 12*c**2 + 18*c**2 - 2*c**2 + 3*c**2 + c**2 + 2*c**2 + 5 - 5 + (-c**2 - 2*c**2 + 2*c**2)*(2 - 3 + 0).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**2 + 0 - 1\/12*l**5 + 0*l + 5\/6*l**4 + 25\/6*l**3. Factor m(b).\nAnswer: -5*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014302422 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -87\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53825 = -9*b - 11138. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -427, -423, -417, -409, -399, -387?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48174\/(-2542) - (-13 + -6)\/1\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hddd when four letters picked without replacement from {f: 2, h: 4, b: 1, m: 3, d: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -3*l**3 + l**2 + 4*l + 2. Let k(i) = -4*i**2 + i + 2. Calculate -3*d(q) + 7*k(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 25*v - 752. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 64 = 4*l, -92 = -4*l + 4*i. Suppose 0 = 4*b - l - 1. Let g = b - 5. Solve m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363916, 363913, 363908, 363901, 363892, 363881, 363868?\nAnswer: 363853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - (20 + -1 + (-10 + (46 - 29) - 21))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37919 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*r - 3 = -2, 28 = -4*j + 2*r. Which is smaller: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -4*q + 4*y, 2*q - 4*y = -0*q + 224. Suppose -2*z - 54 = -2*k + 18, 4*z = 3*k - q. Let w = k - -10. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5901506690 rounded to the nearest 1000000?\nAnswer: 5902000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1043631\/1595714 - -20\/13523. Calculate the common denominator of (25\/21)\/((-98)\/(-343)) and g.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-5 - -20)) + (-15 - -31)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 275 = 217. What is the remainder when h is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-576)\/15 + (-10)\/(-25). Is q greater than -124\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004566 to 5 dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64475 + 137508. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, 330, 0 in descending order.\nAnswer: 330, 37, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.557399 millimeters in micrometers?\nAnswer: 5557.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 3, 10\/11, -1?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 + z**2\/2 - 3*z + 7. Give s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30540 and -39\/20.\nAnswer: 30540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*p**3 - 6*p**3 + 14*p**3 + (-2*p + 0 + 0)*(p**2 + 2*p**2 - 5*p**2) + 0*p + 0*p + 2*p**3 - 3*p**2 + 3*p**2 - 2*p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44585.\nAnswer: 5, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22\/51, 6.19, 3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27880?\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 19 = 3*g, 2*l - 10 = -2*g - 0*g. What is the first derivative of 0*u**4 - 1 + l*u**4 - 3*u + 3*u wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/31 and -21\/257.\nAnswer: 7967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i**2 - 6*i**2 - 69*i**2 - 28*i**2 - 44*i**2.\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 3. Let p be h(6). Let o be p - (-4)\/(-2) - -16. Calculate the greatest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 - 1116*t**3 - 68940*t**2 + 1254204*t - 3111696 = 0. Calculate t.\nAnswer: -147, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1314 - -5?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5598 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*k + 10. Let b = k - -17. Let h(s) = -s**3 + 4*s**2 + 4*s + 6. Let q be h(4). What is the highest common factor of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448056 divided by 6?\nAnswer: 74676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 209 - 217 + 4*s + 3*s - 5*s + 3*s + (-1 + 3 - 1)*(-2 - s + 2) + 0*s + 0*s - 2*s.\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**2. Let k(b) = 8*b - 63. Let l(y) = -6*y + 57. Let h(j) = 2*k(j) + 3*l(j). Calculate v(h(m)).\nAnswer: -44*m**2 + 1980*m - 22275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2\/247, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 6*i**2 - 3*i. Let j(c) = -3*c**2 + 4*c + 4. Let v(u) = 2*u**2 - 3*u - 3. Let o(a) = 3*j(a) + 4*v(a). Give o(s(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541814711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 2*u. Suppose y - 4*p = -3 + 6, -u*p - 10 = 0. Let w(g) = -g - 3. Let k be w(3). Do k and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8525804951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 25*f - 297. Let d be y(18). Suppose 3*k - 13 = 38. Calculate the highest common divisor of d and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 10*h = -0*z + 188, 11*z = 9*z - h - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and (-7)\/((-294)\/65004) + 30\/105?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1268 - 362. Let g = n + -518. What are the prime factors of g?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1218383214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.276 - -0.044. Let q = s + -1.1. Let i = 0.12 - q. Does i = -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 + 10*k - 5. Let p be a(-5). Suppose -p = -6*t + 3. Suppose t = 3*w - 7. Solve 0 = -w*l + 25, 0 = 3*r + 3*l - 0*l - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1670 - -1692) + (1 - 3) + -71\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 20*m = -3*n - 14, -5*n - m = -5. Factor -1\/2*f**3 - n*f**2 + 1\/2*f + 2.\nAnswer: -(f - 1)*(f + 1)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6224 = -2*x, 15604 = 77*x - 72*x + n. Is 65 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7695\/(-315) - (650\/1750 - (-1)\/5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdvg when four letters picked without replacement from vvgygvdvyvvgg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 1.1. Let j = 0.51 - 0.358. Let k = 0.248 + j. Which is the smallest value? (a) k (b) 14 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 218, 430, 796, 1370, 2206, 3358, 4880?\nAnswer: 6826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:29 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Let q = i + -6.3. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5 + v**4 + 21*v**3 + 47*v**2 + 40*v + 12 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.8755636 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 758 - 742. Suppose -9*q + o*q = 8*q. Solve -c = 6 - 1, -t + 2*c + 6 = q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -6, -1, 1\/3 in descending order.\nAnswer: 4\/5, 1\/3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 1060. Let q(d) = -2*d. Calculate q(t(a)).\nAnswer: -4*a - 2120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20240694306720 and -14.\nAnswer: 20240694306706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -168 (b) 0 (c) 0.3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.462ml in litres?\nAnswer: 0.839462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 6 - 0)*3\/(-66).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfassfffaasafgf. What is prob of picking 1 a, 1 s, 1 g, and 1 w?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, 0.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeekkk. What is prob of picking 1 k and 2 e?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l\/(l*l**2))\/(l\/(l**(1\/2)\/l))**(2\/25) assuming l is positive.\nAnswer: l**(-178\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)*r)**17\/(r**2*r)**(-27) assuming r is positive.\nAnswer: r**(541\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - 1 - (7 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371876 and 5828.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430795721.\nAnswer: 19, 97, 233747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 4*k - 2. Let q be (2\/(-6) - 0)\/(26\/312). What is x(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6)\/((-4)\/6816). Suppose d = 5*z - 12990. Let s be ((-10)\/(-3))\/((-5)\/z). Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -1.3, -1\/3, 5, -5 in ascending order.\nAnswer: -5, -1.3, -1\/3, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 199647264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 16*n**2 + 28 - 4\/3*n**3 - 28*n. Factor p(i).\nAnswer: -4*(i - 7)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 times 34561?\nAnswer: -1866.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66360 and 36026844.\nAnswer: 360268440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*-4 - sqrt(10)\/(sqrt(2) + sqrt(4)\/sqrt(2)).\nAnswer: -17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:05 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 187925301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - q = 347, 271 = 2*c + 2*q - 67. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-33)*86\/(-387)*45\/20?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5184 and 1836.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, -0.05, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)\/(0 + -1). Suppose -h = 2*g - 13, -h - 3*h - g + 24 = j. Solve f - 2*f + h = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.8, -36, -1, 0.102?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**5 - 259*u**3 - 949*u**2 wrt u.\nAnswer: 180*u**2 - 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 70*l - 255.\nAnswer: 5*(l - 17)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2. Let v(i) = 360*i**2. Give c(v(a)).\nAnswer: -129600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31812 - -31513.894. Let r = 298.5659884 + x. Let q = r - 0.46. Round q to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a - 4*o = 47, a - 51 = 5*o. What is the remainder when 709 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*x - 4, -2 - 2 = m - 3*x. Let v = -3.9 + -0.1. Let s = v + 3.9. What is the second biggest value in -1, s, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 38*o**2 - 40*o - 36. Let u be h(-39). Solve -8 = j + q, 2*j + 3*q + 12 = u*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + -7 - ((-80 - -122) + 1 + -8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -805*m + 844*m. What is the remainder when 427 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -10\/13, 4.993, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.06 - -0.06. Let j = 4 + -3. Let p = 139.2 - 139. What is the closest to j in p, l, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66)*-1)\/sqrt(3))\/(3*2*sqrt(2))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 57) + (-19 + 8 + 10 - 1) - -15.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 57 - 23 - 2*k**2 + 3*k**2 - 6791*k + 6809*k.\nAnswer: -(k - 10)*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201238 and 6692?\nAnswer: 2817332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2 - -7) + -3. Let d be (-165)\/(-25) + y\/(-5). List the prime factors of 1*d\/(-4)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1714\/7585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478.1719 + 478. Let d = 0.218 + n. Round d to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 + 1 + 2*k**2 - 6*k**3 - 6*k**2 as p + h*k + n*k**3 + d*k**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*208\/39. Suppose o*t - 11*t = -81. Let l = -13 + t. What is the lowest common multiple of 20 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1165 + -1155. Let m(n) = n**3 + 5*n**2 + 2*n - 4. Let p be m(-4). Solve -p*k = k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165698317 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2426\/5 or -1375\/19?\nAnswer: 2426\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198532540*d*s**3 + 10*d*s**2 + 60*d*s + s**2 + 2 wrt s.\nAnswer: 1191195240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1573) + -2 + 2 + -2)**2 + 2.\nAnswer: -44*sqrt(13) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 20. Is -14 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (172 - 174)\/(5\/(2\/(-2))). Sort 5, v, -1, 0.29, -3 in decreasing order.\nAnswer: 5, v, 0.29, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**4 - 13*f**3 + 37*f**2 - 5*f + 5. Let l(g) = -g**3 + g**2 - g + 1. Let a be 1*-2*(-2 + 4)\/4. Let c(x) = a*k(x) + 5*l(x). Factor c(b).\nAnswer: 4*b**2*(b - 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x + 4. Let n be p(0). Let o be (12\/4)\/(1\/(-3)). Let s be (-2)\/o + n\/144. Is s at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (130044\/75859)\/((-1)\/(-84)*-2)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*(-48)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -28, -1, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:44 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 4. Suppose 5*i + 4*k + 1 = 0, -6*i + 8*i + 2 = -2*k. What is s(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -572*q - 568*q - 2 - 34 + 1135*q. What is f(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 12 = -33*s + 70*s, 0 = -4*j + 2*s - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700553 is divided by 340108?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*i**4 - 35*i**2 + 2208 wrt i?\nAnswer: 28*i**3 - 70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-741)\/(-40 + 97) - (-2 + 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 - -94. Suppose -s*o = 0, -3 = 3*w - 5*o - 15. Solve 16 = -4*v, 0 = -0*m + w*m - v - 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/379? (a) -3 (b) -268 (c) 0.1 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19800599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 1250544?\nAnswer: -1251005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 570\/(-42) + (-164 - -174).\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1499148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158238 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 145.99554?\nAnswer: 145.99554","meta":{"dup_signals":{},"source":"comparison__pair_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: Sort 112, 11, 22, 1\/5, 0.01.\nAnswer: 0.01, 1\/5, 11, 22, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**3 + h**2 + h + 1. Let o be j(-1). Let w(l) = -5*l + 3 - 4 + 0. Is 17 a factor of w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.92109 millilitres in litres?\nAnswer: 0.05492109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 0*y**2 - 46 - 2\/33*y**3 + 0*y. Factor t(r).\nAnswer: -2*r**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s**2 + 0*s)*(2*s + 3*s - s)*(-5*s**2 + 3*s**2 + 4*s**2).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -14 (c) -2\/15 (d) 5 (e) 88 (f) 47.5 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 77989652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(56) + (sqrt(224)*-1)\/sqrt(4))\/((sqrt(16)\/sqrt(2) - sqrt(8))*2 + sqrt(80)\/(2*sqrt(10))).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k - 236 - 574 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -36 - 472\/59.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 89*c + 144. Give o(-43).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 4*(1*(sqrt(288) + 3 + sqrt(288))**2 + sqrt(288) + 5 + (3*sqrt(288))**2) + -5).\nAnswer: 3744*sqrt(2) + 90192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5705 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 1. Let d = 234 - 244.1. Let v = d - -10. Which is the nearest to v? (a) y (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68864984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1289 divide 84013453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**6\/144 + c**4\/6 - 26*c**2 + 5*c - 5. Let w(t) be the third derivative of z(t). Let r(i) = 0*i + 0*i - i. Give w(r(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-14) - 780\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + (-3 - (2 + -7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 93082?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611375659.\nAnswer: 109, 5608951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110331 (base 4) to base 5.\nAnswer: 1312132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -20 + 91*36\/84 is divided by 2*(-15)\/(-6)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q. Let x be o(-2). Let k be 0 - (-1 + (-5)\/(-3)). Let i = 448\/5 + -90. Which is the nearest to i? (a) x (b) k (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 19 = -3*h, 8*h - 12*h - 28 = -2*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/(k\/(k**(-7)\/k*k)*k))\/(k**(1\/7)*(k**(2\/7)*k*k)\/k) assuming k is positive.\nAnswer: k**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = -19*q - 15. What is the tens digit of (q - 8)*(-64)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35250\/(-9))\/(605\/(-600) - -1). What is g rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 4*j - 2*j - 2*j - 5*j.\nAnswer: -5*j - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-12) - (-1)\/(-6). Let v = 46610 - 46609. Which is the closest to d? (a) v (b) -1.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 36, 5\/3, 0.4, -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10064, 20119, 30164, 40193, 50200?\n\"Answer: -b**3 + b**2 + 10059*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 1005\/(-105)) + 14\/21*12.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 7. Let p be a(-6). Is (p\/(-15))\/(1\/(-609)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(9\/(-27))\/((-1)\/(-3)). Let f be (-1818)\/k + (-8)\/(-28). Suppose -f = 10*p - 1320. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let x = g + -9.8. What is x rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f + 1. Let b(w) be the third derivative of -w**5\/60 - w**4\/8 - w**3\/2 - 372*w**2. What is b(m) + 3*g(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p - 82702 + 85866 = 0. Suppose 0*l - 217 = -5*m - 4*l, 5*m - 233 = 4*l. What is the remainder when p is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let t(i) = -i**2 - 7*i + 5. Let v be t(-7). Suppose c - 2*z + 6 = -0*z, v*z - 21 = c. Solve 0 = -c*o - 7 + g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-44)\/(-4) - (-31 - 5889)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 21*i. Let f(n) = -n. Let o(h) = h**2 - 10*h + 20. Let y be o(7). Let c(j) = y*f(j) - d(j). Find the second derivative of c(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsz when three letters picked without replacement from tlszzqhszzqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*84\/(-56)*10\/12?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -s + 418. Suppose -5*n + s = 3*h, -51 = n - 2*n - h. Suppose 2*c + n = 5*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/14)\/((2 + -1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*d**4 - 31*d**3 + 31*d**2 - 2479277*d wrt d?\nAnswer: 1332*d**2 - 186*d + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12331, 12483, 12627, 12763, 12891, 13011, 13123?\n\"Answer: -4*b**2 + 164*b + 12171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3964 less than -4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*n**3 - 1384*f*n - 81182*f + 4*n**2 wrt n.\nAnswer: -6*f*n**2 - 1384*f + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:01 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.822858 rounded to 0 decimal places?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -4*g - 5*z, 2*g + 29 = -2*z + 55 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from oyaoquuaoo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 391185259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 - 10*z**2 + 1. Let s(p) = -3*p**3 + 3*p**2. What is -4*g(f) - 14*s(f)?\nAnswer: 2*f**3 - 2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1017.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/192 and -87\/4480?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -404 + 408. Is 10 a factor of (-2418)\/(-3) - (-4 + c)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*((2*(4*sqrt(1872) + sqrt(1872) - sqrt(1872)))**2 + -3).\nAnswer: -479220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/297, -1251, -55?\nAnswer: -1\/297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*t**3 - 62 - 262*t**3 - 802*t**3 + 62.\nAnswer: -1324*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134808*j**2 + 205495*j.\nAnswer: 269616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 1. Let h(b) = b**2 - 30*b + 6. Let j(a) = -h(a) + 5*t(a). Let s(q) = 2*q**2 + q + 5*q**2 + 2 - 2*q**2. Determine 2*j(z) + s(z).\nAnswer: 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 2.89 (c) -0.2 (d) 3\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let p(z) = 3*z. Let h be (-1)\/(-2)*(1 - 1). Suppose 4*a - 5*g - 8 = h, 0*a - g = 3*a - 6. Let o be (-1 + a)\/((-1)\/(-1)). Give o*p(t) + 4*v(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -151*z - 28. Calculate the smallest common multiple of 18 and q(-1).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -489329.73?\nAnswer: -489329.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 802025.1 kilometers?\nAnswer: 802025100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*z = -233 - 952 + 129 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14628105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1767591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = a - 9, -5*f - 493 + 522 = -3*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17\/4, 0.5, 5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7835824 and 71904.\nAnswer: 329104608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10924345, -10924342, -10924337, -10924330, -10924321?\n\"Answer: x**2 - 10924346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 45, 38, 29?\n\"Answer: -o**2 - 2*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -19\/4, -8481\/2?\nAnswer: -8481\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 8) to base 2\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10962.15994 + 10962. Let p = -0.0347 + -0.1253. Let o = z - p. Round o to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*o**2 - 7*b**3*o*u + 35*b**3 - 2*b**2*u**2 + 571*b*o**2*u**2 - 2*b*o*u**2 - 2*b*u wrt o.\nAnswer: -6*b**3 + 1142*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-49) + (-3353310)\/(-77910).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-21)\/(-4))*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(76)\/sqrt(4)*1 + (-1 + sqrt(19) + -4)**2 + -1.\nAnswer: -9*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 44160 = -6*l + 8*l. What are the prime factors of l?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + -22 + 2 + -9) - -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.069 - 0.0501.\nAnswer: -5.1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1746*j**4 + 22445?\nAnswer: 6984*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6195 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.2. Let q be -5 - (2 + (5 - 17)). Which is the third biggest value? (a) q (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - a**2 + 1. Let l(g) = 5*g**4 - 145*g**3 - 515*g**2 - 20*g + 685. Let n(q) = -l(q) + 5*w(q). Factor n(j).\nAnswer: -5*(j - 34)*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6165047 and 574.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -4*n + 282 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3804 divided by 3\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*f - 2*t + 1, f + 5*t + 29 = 0. Which is the fourth biggest value? (a) 33 (b) 2 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 76*h + 478. What is the smallest common multiple of y(0) and 717?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - -15)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -20. Which is the closest to -2\/5? (a) -5 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20 - 3 - (-1915 + 1913)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4 (c) -81 (d) 0.4 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 22 = -11*i + 54. Let z(h) = h - 7. Calculate z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10137.91 times 8?\nAnswer: 81103.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtttqeeetettteeqttt. Give prob of sequence etqt.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let w(k) be the first derivative of -1\/2*k**2 + 0*k + 1. What is -2*h(g) + w(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-396) - (9\/12)\/3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 209*t**2 - 1453*t - 1178. What is z(-111)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4662.2 to the nearest ten.\nAnswer: -4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 + 11*m + 31. Suppose 0 = 44*q - 34*q + 300. Is s(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.4610083 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 4. Let h be f(9). Let n = h - 22. Let q = n + 10. Solve r + 3 = -q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1\/4 (c) 3 (d) 678 (e) -0.4 (f) -19 (g) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2599904 and 74128.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 2*p**3 - p**3)*(1 - 1 - 1 + (3 + 0 - 1)*(3 - 1 - 5) + 3 + 13 - 1 + 3 - 19 - 16).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (1 + (sqrt(176) - -1*sqrt(176))))*1 + 3)**2 - (sqrt(176) - (sqrt(176) + (sqrt(176) + 3*sqrt(176) - sqrt(176)) + 0) - 2*sqrt(176)*1)**2.\nAnswer: -4220 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 8. Let o = -2 - -4. Let m(w) = -w - 9. Let s(t) = o*m(t) - 3*i(t). Let r be s(-5). What is the highest common divisor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45b31 (base 15) to base 16.\nAnswer: -362c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 + 249. Solve 4*h = h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -116. Let h = 68 + u. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27673767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-56)\/21)\/((-6)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171)*-1 - sqrt(171))*-1*-4)\/(sqrt(1296) + sqrt(1296)*3 + sqrt(1296) + (3*sqrt(576) - sqrt(576))).\nAnswer: 2*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4871 take away 0.0496?\nAnswer: -4871.0496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from eeucucnhenueeoe?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 6*r**2 + 2*r**2 + (-r + r + r - 1)*(2*r + 4*r + 6*r)*(6 - 2 + 1) to the form a + w*r + x*r**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:36 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -490 - -496. Solve 5*x = -3*z, x = -3*z - u + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141740531?\nAnswer: 141740531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**2 - 7*m - 1. Let d(k) = 3*k - 6. Let s(g) = -g**2 - 8*g - 2. Let c be s(-6). Let t = c - 5. What is t*b(o) - 6*d(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236 - -3066\/13. Let a = -3290 + 3293. What is the third biggest value in a, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 160 = -2*m - 188, 5*l = -m - 26 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than 390123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**2 + 0*r**4 - 2\/5*r**5 - 2\/3*r**3 - 3 + 0*r. What is the third derivative of p(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(5*r**3 - 4*r**3 + 0*r**3) - 84*r - 2166*r**3 - 78*r - 554*r**3 + 162*r.\nAnswer: -2718*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 44. Let y = 44 + -28. Calculate the remainder when x is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/(-15)*(-5)\/(30\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 32. Let h(o) = 16*o - 32. Let a(j) = 4*h(j) - 3*l(j). What is the tens digit of a(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:57 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1310309 and 462.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 213433675*n + 213433675*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 16. Let h = u + -3. Put 5, h, -4 in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, l: 1}. What is prob of picking 3 d and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019536 rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 251596282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15759\/1785 + 9\/(-21) + (-3)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(540) + -2*(-1*sqrt(540) + sqrt(540) + sqrt(540))))\/(-1*((1*sqrt(12))\/sqrt(4) + 6*(sqrt(9)\/sqrt(3) + sqrt(3)))))**2.\nAnswer: 11520\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by (-1 - 3\/(-2))\/(46\/1932)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2959599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (5 + 3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -31*m**2 + 66*m + 274. What is v(-4)?\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - b - 1. Let w(r) = r**2 + r + 1. Suppose -l = 2*p - 3*l - 14, 14 = -2*p - 5*l. Calculate p*w(v) + 3*d(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5391 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1135676781 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*u + 211*u - 955 = 89. What is the highest common factor of u and 11862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -57. Let h = i - -18.2. Let l = -0.35 - -0.4. Which is the third smallest value? (a) -4 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3033 - -3033.2. Which is the biggest value? (a) 330 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*m = -77*m + 230 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13338328 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 39*r**3 - 3*r**2 - 4*r + 17. Suppose 3*p = 3*q - 21, q + 82*p + 23 = 77*p. Is 9 a factor of k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 66. Let o = -33 + i. Let k be (-5)\/(-45)*1*-2. Put 2, o, k in descending order.\nAnswer: o, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -687.\nAnswer: 13.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2105 (base 8) to base 9\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 + 0*s - 1\/24*s**4 + 37*s**2 - 2\/3*s**3. Let y(r) = -3. What is 4*f(q) - 5*y(q)?\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 l when four letters picked without replacement from {e: 10, d: 8, l: 1}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51455, 51261, 51061, 50855, 50643, 50425?\n\"Answer: -3*g**2 - 185*g + 51643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85157076.\nAnswer: 2, 3, 97, 149, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16550*l**3 + 33917*l**2?\nAnswer: 99300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -j + 3, 0*j + 3*j + 3*s + 15 = 0. Let o = -7 - j. Let l(w) = w**2 + 2*w + 2. Let x be l(-3). Put 3, o, x in increasing order.\nAnswer: o, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33800782 to 3 dps.\nAnswer: 0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/609833 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1134, -15 in increasing order.\nAnswer: -15, -4, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(-14*8\/(-112)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*27\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-5))\/(3\/(-10)). Suppose 0 = 8*n + 24*n + 352. Calculate the remainder when 5 is divided by n + 11 - (k + -1) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25))\/(7\/((-280)\/(-16)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)\/((-10)\/70). Let m be (1 + -1)\/(5 + s) - -2. Solve 0 = -4*i - 6 - m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*i - 101*i = 42*i - 700. Let f = 12 - 5. Let x be (6 - 42)*f\/(-2). What is the greatest common factor of x and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23084 and 4975?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -41) + -28 - (549\/(-57))\/(-3). Factor -u*o**2 + 126\/19*o + 2\/19*o**3 + 162\/19.\nAnswer: 2*(o - 9)**2*(o + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 1 - -36) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffaprffrfpprrpaffp?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8163*m**2*x**4 + 8*m**2*x**3 + 15*m**2*x - 9*m*x**3 - 11*m*x + 4*m + x**2 - 4689 wrt x?\nAnswer: 195912*m**2*x + 48*m**2 - 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.1, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*8\/10. Put -3, -7, i in decreasing order.\nAnswer: i, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 2 - 3) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**5)*q\/(q*q*q\/(q*q**(-6))))\/((q*(q\/(q*q*q**(3\/5)*q))\/q*q)\/q**(-5\/2))*((q*q**(5\/2)*q*q)\/(q*q**12))**40 assuming q is positive.\nAnswer: q**(-3139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -291638?\nAnswer: 291633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206914 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(1\/(-9)). Let q be (l\/(-6))\/(1\/6). Suppose 8 = -2*c + q*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 3*q**3 + 3*q**2 - 4712*q + 4745*q to t*q + z*q**3 + g + l*q**2 and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (7\/(-1) + -3). Let z(k) = -k + 9. Let v = -41 + 48. Let d be z(v). Solve d*a - 3*t + m = -6*t, -5*t - 28 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, -12, 0 in decreasing order.\nAnswer: 0, -2, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128525032 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 62 - 3*a**3 + 7*a**2 - 5 + 65 to the form o*a**2 + c*a**4 + f*a + b*a**3 + j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118, -117, -116, -115, -114, -113?\n\"Answer: c - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/(-850))\/((-8)\/64*4\/7) - -2.\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 3*s)*(-2*s**2 + 0*s**2 + 0*s**2) + 22*s**2 - 84*s**2 - 406*s**3 + 415*s**3.\nAnswer: 13*s**3 - 62*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*l - 2*t, 0 = 5*l - 4*l - 4*t + 14. Suppose -i + 2 = -l. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 4. Let o(l) = 10*l - 13. Let n(d) = -2*o(d) - 7*t(d). Let q = 1 + 3. What is the remainder when n(9) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3530112 (base 6) to base 9.\nAnswer: 307648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*5\/(10\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, w: 1}. Give prob of sequence wl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from fkfkkffkfkkkkk?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 201, 637, 1355, 2355, 3637, 5201?\n\"Answer: 141*p**2 + 13*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5284*j**4 + 100*j**3 - 3*j**2 - 2895940 wrt j.\nAnswer: -126816*j + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 3*b**2 + 2*b + 6. Determine s(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/(3\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 + 36932\/(-26380)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1158*m**3 - 946*m**2 wrt m.\nAnswer: -6948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) 12 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 6 = -12*c. Let z be (8\/c)\/4 + 2926\/(-57). Let n = -47 - z. Solve 5*w = 4*f + 7, -1 = -w - n*f + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + 2 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -834 (base 12) to base 11\nAnswer: -994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -395, 1808, 4011, 6214, 8417, 10620?\n\"Answer: 2203*d - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -9)*(-4)\/(-2 + -2). Suppose j*l - 113 = 789. Let g = l + -78. Solve 5*u + 6 = -4*f - 6, 3*f = -g*u - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2211 = n + 1712, 9 = -3*n. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -1*(4 + ((-6*(sqrt(242) + 3 + sqrt(242)) - sqrt(242)) + sqrt(242) - sqrt(242))**2)*-5)*6.\nAnswer: -1236792 - 154440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f**2 + 2*f - 3. Let k be o(2). Suppose 3*q = k + 95. Suppose 4*t = -4*h + q - 16, 3*t = 3. What is the remainder when 18 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.9 in -3, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*a - 527*a - 56 = 0. What is the greatest common factor of 42 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 8 - 8)*(-3 + 0 + 1).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/396*(-1)\/(-23). Let u = 51613\/2277 - o. Find the common denominator of -37\/2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-2)\/(-2)) - -6. Let m(n) = -n**2 + 8*n - 18. Let f be m(6). Let i = y + f. Solve i = q + 3*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-8)\/6*1\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14064358 to the power of 1\/2, to the nearest integer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -863, -1729, -2595, -3461, -4327, -5193?\n\"Answer: -866*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18138*-1.1\nAnswer: 19951.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 2.9. Let w = -7677.4894 - -7675. Let d = w + a. Round d to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468) + 4)**2*3.\nAnswer: -2904 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 3*p = -13*s + 7914, 3*p = -2*s + 5276. Suppose -10577 = -15*y + s. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b*d**2*r + b*d*r**2 + 2*d**2*r**2 + 8*d**2*r - 33*d*r**2 wrt d?\nAnswer: -14*b*r + 4*r**2 + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643312?\nAnswer: 2, 31, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -144.88.\nAnswer: 173.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -305\/2 + 154. Suppose 0 = 2*r + 3*r + 3*d + 25, -r = -5*d - 23. Let n be 2\/8*r*1. What is the third biggest value in 1, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13103 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/((n\/(n*n**(-3\/4)))\/n))**(-2\/95)\/((n*n**6*n**(4\/7)\/n)\/((n*n**(-1\/4))\/n*n**(-1\/4))) assuming n is positive.\nAnswer: n**(-4692\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k - 1. Let m(w) = -w**2 - w - 2. Let a(y) = -2*j(y) + m(y). Let t be a(1). Suppose 0 = -4*g - 3*r + 23, -r - 2*r = -g + t. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let j(t) = 219*t**2. Determine j(g(m)).\nAnswer: 876*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 565 and 0.14?\nAnswer: 79.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*n = 0, b - 11*n - 5 = -17*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.61 + -10.11. Let w be 2 - (22\/8)\/1. What is the second smallest value in w, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 108 = 3*h, -j + 5*h - 19 = 21. Let n be ((-18)\/(-8))\/((-9)\/j). What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 59a?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147100, -588230, -1323368, -2352508, -3675644, -5292770, -7203880?\nAnswer: -9408968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2 + 3 + -3)) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234.9 + 231.9. Which is the fourth biggest value? (a) p (b) -1 (c) -5 (d) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(77\/99). Let l*o**4 + 1\/7*o + 5\/7*o**2 + 0 + o**3 = 0. Calculate o.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 913963765 to the nearest integer?\nAnswer: 30232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -10, 1.15?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 94*z + 101*z + 10*z**2.\nAnswer: 10*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1944 or -47124?\nAnswer: -47124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00192759256 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 787*r - 6 = 794*r, -5*r + 3 = -w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a meter in millimeters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13217 divided by 2.\nAnswer: 13217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.686164 rounded to one decimal place?\nAnswer: -79.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (-116)\/(-20) - 1592\/(-10)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56210, -112551, -169024, -225629, -282366, -339235, -396236?\n\"Answer: -66*q**2 - 56143*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 2, j: 4, b: 5, a: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -267*f + 740. Calculate z(9).\nAnswer: -1663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(3\/18). Suppose 40 = 2*s + 4*z, -o*s - 2*z = -s - 34. Calculate the least common multiple of s and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2. Let c be a(0). Let k(t) = t**3 + 12*t**2 + 11*t + 14. Calculate the lowest common multiple of k(-11) and 3*c\/3*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 413916 and 815658.\nAnswer: 27732372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15690455 is divided by 22447.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h**3. Let x be f(-1). Let c be (5 - 6)*(-11 - 0). Let k = c - -121. Calculate the highest common factor of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*l + 3374 + 2395 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1287)\/(-39) + 31 + -29\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 2*f + 2. Let t(y) = -y**3 - y**2 + y + 1. Give -2*t(k) + v(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*r**2 - 52*r**2 - 78*r**2 + 1159*r**2.\nAnswer: 1084*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68 and 1115.\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 80*f**2 - 8*f - 9. Is h(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*a + 30 - 88 = 0, -4*o + 5*a + 78 = 0. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**2\/2 + j - 1. Let m = 15 - 14. Let f(g) = -4*g**2 + g + 1. Let v(u) = m*x(u) - f(u). Factor v(r).\nAnswer: 2*r*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1*9\/15). Suppose f + c*u = 49, -3*f + 4*u + 77 = 5*u. What is the derivative of -24*l**3 - 7 + 6*l**4 + f*l**3 + 1 wrt l?\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -18 - 7) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 154*i**2\/3 + 2428*i\/3 + 4256\/3.\nAnswer: 2*(i + 2)*(i + 19)*(i + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 37698*w.\nAnswer: 2*w*(w + 18849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u**2 - 40*u**2 - 3845*u**3 + 1834*u**3 + 1934*u**3 + u.\nAnswer: -77*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2) + (0 - -7). Let l(y) = -y**2 + 7*y + 10. Let x be l(8). Let n be 2*4\/(x\/2). Solve -33 = s*p - n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6*-2223928\nAnswer: -13343568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*w + 3*m - 54 = 208*w, 0 = w - 3*m - 18. What is the greatest common factor of w and 7572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 124477500*u - 5810493002343750.\nAnswer: -2*(u + 93358125)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3*i**4\/20 - 10*i**3 - 166. Factor d(x).\nAnswer: 3*x**2*(x - 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-6) - 8\/(-12). Suppose m*h = 8*h. Let g be (h + 2)\/(-2) + 9. Solve 5*o + 28 = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qqptt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005485 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 56 = 26. Let j(f) = f**3 + 7*f**2 + 6*f - 6. What is the remainder when i is divided by j(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 0. Let j(l) = -3*l + 0*l + d*l + l. Let f(i) = -i**2 + 5*i. Let q(u) = 2*u**2 - 12*u. Let w(x) = 12*f(x) + 5*q(x). What is j(w(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 25, -j - 3*j + 2*d + 6 = 0. Suppose -i + 7 = -j. Suppose i*k - 6*k - 160 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121 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: Calculate 0.5 - 30.38528279.\nAnswer: -29.88528279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187300 is divided by 62432.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -16. Suppose 0 = 4*n - p + 1. Calculate the least common multiple of 2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 143 = -257 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let r be (4\/f)\/(2\/(-9)). Let s(p) = p**3 + 7*p**2 + 6*p. Let c be s(r). Solve -5*v - 17 - 8 = c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6414218115 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*s - 19 = 0, -8*s - 7 = -2*b - 9*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 25 = -30 - 13 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12 or -10872.18?\nAnswer: -10872.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 10*y - 2. Let r be f(10). Let t be 1*(-8)\/4 - r. Solve -2*u - 6 = -t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 672?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124230851 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r**4 + 165297*r**3 - 1148007*r**2 + 1607127*r + 56790 = 0 for r.\nAnswer: -1\/29, 2, 5, 1893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3116815 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-4) + (-12)\/16. Let q be ((-2)\/w)\/1 + 3. Solve -5*h + 17 = -q*b, -2*h + 9 = -2*b - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -946 by -43.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:39 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 11*z - 8. Find the first derivative of -z + 3*x**3 + 6*x**3 - 7*x**3 - 3*x**3 wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -25 (c) 13 (d) -0.033 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 31*n**3 - 20*n**2 - 11*n - 17. Let u(o) = -10*o**3 + 7*o**2 + 4*o + 6. What is -17*u(v) - 6*z(v)?\nAnswer: -16*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 23*k + 2*o = 44, 0 = 3*k + 2*o - 32. Solve -3*d - 3*t = 9, -5*d = t + k + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - (-7 + 6)) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + -1*sqrt(11) + sqrt(11) + sqrt(11) + sqrt(44)\/sqrt(64))**2.\nAnswer: 15*sqrt(11)\/2 + 419\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111648 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.854998 + 0.809\nAnswer: -2.045998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -62*d**2 + 286*d. Let p(c) = 5*c**2 - 24*c. Let w(l) = -6*g(l) - 75*p(l). Factor w(u).\nAnswer: -3*u*(u - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*o + 1, -f - o = -6*o - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2*-4*-4 + -2 - ((2*sqrt(84))\/sqrt(2))\/(sqrt(12)\/sqrt(2)*-2))**2.\nAnswer: -132*sqrt(7) + 7627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14342 + -6345. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -10*m - 145. Let z = -27 - m. Suppose c**4 + 3 + 14*c**2 - c - 2 - 16*c**4 - z*c**3 - 6*c + 9*c**5 = 0. What is c?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5153.\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 2*r**2 + 1. Let f be a(-1). Let n = -1 - -1. Let m = 7 - 2. Put f, n, m in decreasing order.\nAnswer: m, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -114, -169, -224, -279?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**3 + 0*q**2 + 3\/10*q**6 + 0 + 0*q**5 - 7*q + 1\/2*q**4. Find the third derivative of a(d) wrt d.\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/76137646 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.07 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 26*v - 1031. What is the remainder when 1411 is divided by k(40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:41 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7590?\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/8090 and -101\/60.\nAnswer: 48540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -y + 17, -2*y - 3*y - 3*g = -71. Let h(k) = k - 22. Determine h(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {w: 2, t: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27177 times -77.53?\nAnswer: 2107032.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:23 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 34*y**2 + 28*y + 64.\nAnswer: 2*(y - 16)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170481 or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.3 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.73\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, f: 1, m: 14}. Give prob of sequence mf.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 239*s + 220*s - 156*s.\nAnswer: 303*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y, 6 = 2*u + 3*y - 10. Let s be (u\/(-6))\/((-9)\/27). Calculate the common denominator of 7\/12 and (s - (-73)\/6) + (-3)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 3*k - 6. Let n(i) be the third derivative of -i**5\/12 + i**4\/6 + 7*i**3\/6 - 2*i**2. Let d(t) = -6*b(t) - 5*n(t). Determine d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1341 - 1342. What is the nearest to 0.1 in 3\/8, 101, -5, h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442 take away -2.87?\nAnswer: 2.8258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341906 is divided by 5453.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or 278?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264\/78 + 1 - (-2)\/13 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287499 and 846185?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 27*x + 488. Determine h(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2761 or -2760?\nAnswer: -2760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7343 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.862812 millennia to centuries.\nAnswer: 88.62812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyqyyyyyyyyq. What is prob of picking 1 q and 2 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/3 (b) -0.4 (c) -84\/31 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 14\/12) + 1. Let s = 0 - -0.4. Let k = 2.6 + s. Sort k, 2, u in decreasing order.\nAnswer: k, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123, 1126, 1123, 1114, 1099?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyjyyjjy. Give prob of picking 1 j and 3 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 0.02?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 13*h**2 + 9*h - 16. Let n be g(-12). Suppose 0*x - 5*x + n = 0. Suppose -12\/5*l**x + 21\/5*l**3 - 21\/5*l + 18\/5*l**2 - 6\/5 = 0. What is l?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 100*f - 17490. Determine r(175).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 22 - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 339*a - 345. What is q(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from yayykpykkkykyyk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r**2. Let w(p) = -8*p**2 + 6*p - 6. Let c(o) = -17*o**2 + 13*o - 13. Let y(x) = 6*c(x) - 13*w(x). What is v(y(f))?\nAnswer: -68*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*m - 9927, 2*x + 32*m - 3954 = 37*m. What is the remainder when 3974 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 1\/3, 1, 0.1, -15.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(44) + 0)**2 + sqrt(11)).\nAnswer: -132 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -584*o**2*v**2 - 5*o**2*v - 6*o**2 + 5*o*v wrt v?\nAnswer: -1168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433205881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 453*i - 3907. Let o be h(9). Sort -2, 2, 4, o, 1.\nAnswer: -2, 1, 2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 2*h**4\/3 - 5*h**3\/6 - 3*h**2. Let t be n(5). Suppose -65 = -3*u + 3*i - 8*i, 4*u - t = 5*i. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650479702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15222170.7ns in days?\nAnswer: 0.00000017618253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5*(p\/(p\/p**(-1\/2)*p))\/p*p*((p\/(p\/(p*p\/(p*p**(2\/3)))))\/p)**(-20) assuming p is positive.\nAnswer: p**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*f**2*z**2 + 914*f**2*z - 42*f**2 - 593*f*z**2 + 521*z**2 + 571 wrt z.\nAnswer: -154*f**2 - 1186*f + 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 5:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 10 = 3*p + 6, -k = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/5*4*((-15727)\/2 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68470 - 43530 = -32*c. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 134545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (270\/25)\/9 - (-16)\/55.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -3 - 2\/2. Let j(w) = w**2 - 2. Let a be j(p). Suppose a*n - 37 = 43. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3\/4, 707, 4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -j = -0*j - p - 6, 2*p - 3 = -3*j. Suppose j*b = 2*t - l*t + 199, 202 = 3*b + t. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4555267581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48096+9780\nAnswer: -38316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = 5*q - 10, -11 = -4*u + 3*q. Suppose 2*f = -6*d + 3*d - 2, -2*d = -u*f - 24. Solve -9 = r + 4*n - 0*n, -5*n = -d*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167018 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 72 = 4*k - 6*k, 3*b = -3*k + 45. Let s = b - 15. Let g = 2 - s. Solve 2*j - j - 4 = g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001111001101 (base 2) to base 3\nAnswer: 1002102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-120) - 55\/44?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 + -434.269. Let j = -90740 - -90812.231. Let l = v - j. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o - 127*o + 46*o + 31*o**2 + 51*o.\nAnswer: 31*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123781269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 14. Suppose 2*h - 5*o + 10 = 0, -4*h = -t*h - 4*o + 8. Let u be -5*(h - (2 - 1)). Solve -5*b = -4*m + 13, -11 = u*m + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/3 + 22*n - 124\/3 = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 1 + w**2 + 2*w)*(67 + 169 + 62 - 196).\nAnswer: 102*w**2 + 510*w - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138545 = 16613*j - 16604*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*p + 153, 642 = 3*w + w - p. Let f = -15426 + 15467. What is the remainder when w is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r + 3. Suppose -m - 1 = 3*y - 7, -2*y = 3*m + 3. What are the prime factors of k(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -428221, -856444, -1284667?\n\"Answer: -428223*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 946 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 + -98. Let s(l) = l**2 - 3*l - 3. Let t be s(6). Let h = -9 + t. What is the least common multiple of h and i?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 j when three letters picked without replacement from {o: 2, e: 5, a: 7, j: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*l = 4, 4*w - w - 5*l + 61 = 0. Let x be w\/(-60) - 12\/10. Is -2 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49b6d (base 14) to base 3\nAnswer: -100011202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -27*p**2 - 13*p + 23. Let q(y) = 27*y**2 + 14*y - 24. Let j(g) = 8*c(g) + 7*q(g). Solve j(a) = 0 for a.\nAnswer: -8\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let s be 2 - (0 + 0 + x). Solve -s - 4 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 - 24*w - 4*w**3 + 53*w**3 - 13*w**3 - 16*w**3.\nAnswer: 4*w**3 - 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/137 and 8\/7.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4*(-1122)\/36)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8988 + -8984. Solve t - 4*g - c = 0, 3*t + 12*g - 15*g + 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 74. Let v be a(-11). Let o be (1\/v - (-5975)\/15) + -2. Calculate the highest common factor of 36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3504779.\nAnswer: 3504779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 158, 154, 148, 140?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2192050, -4384100, -6576148, -8768194?\nAnswer: -10960238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1 + -5)*3.\nAnswer: -15 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3380107 - 2358279. Let h = n + -4841828. What is h rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f - 520. Calculate j(-66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5809609857 to the nearest integer?\nAnswer: 76221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(-6*2*sqrt(104) + -1*sqrt(104)*-2 + sqrt(104)))\/(sqrt(8) - (sqrt(8) + sqrt(8)*-2*2) - sqrt(288)*-1))**2.\nAnswer: 9477\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14266, 14280, 14300, 14326, 14358?\nAnswer: 14396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -24\/5 (c) -18255 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -7*x**4\/20 + 4*x**3 - 29*x**2\/10 - 24*x\/5 - 114. Let d(s) = 0. What is s?\nAnswer: -3\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 1, s: 3, p: 3, v: 1, b: 3}. What is prob of picking 1 s, 1 p, and 1 b?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -44, 1\/7, -4, -1\/10, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.8259 + 16791713.58\nAnswer: 16791712.7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + 1) + 4 + sqrt(567)*-2 + sqrt(567))*5.\nAnswer: 50 + 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/16 and 61\/1272.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000226371 to 6 dps.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 14 = -3*k. Let j(b) = -2*b**3 + 7*b**2 + 5. Let d(q) = 2*q**3 - 6*q**2 - 5. Let w(h) = k*d(h) + 6*j(h). Differentiate w(m) with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 0 = -18. Solve 0 = 6*m - 2*m - 5*p - 4, -k*m = -p - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*s - 5*s = 0. Let d(v) be the third derivative of 2*v**2 + 1\/6*v**3 + 0*v - 1\/24*v**4 + s. Determine d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1 + 16\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100230210 (base 4) in base 10?\nAnswer: -68388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -825, -824, -821, -816, -809, -800, -789?\n\"Answer: m**2 - 2*m - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(720)*1 + sqrt(15)\/(sqrt(9)\/sqrt(3)) + sqrt(5) + -1 + -4)**2.\nAnswer: -740*sqrt(5) + 27405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**3\/6 + 11*g**2\/2 - 3*g. Suppose 2*b + 5 + 7 = 4*q, 3*b + 5*q + 18 = 0. Let k be r(b). Solve 11 + k = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 12 = 0. Let z be -1*((-33)\/i + -5). What is the closest to -1\/2 in 15, -3, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9023503 and 72188024?\nAnswer: 72188024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.0682 - -0.0682. Which is the closest to 3\/4? (a) 5 (b) l (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m*(m*m**(3\/8))\/m)\/(((m**9\/m)\/m)\/(m\/m**(-8))) assuming m is positive.\nAnswer: m**(159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4781668 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 647 = 5*z, -6 = -d - d. Let j = -103 - z. Solve j - 2 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31408*t + 15696*t + 1435*t**2 + 15712*t.\nAnswer: 1435*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 42*x - 698. Give n(14).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(10 - 6 + 3)*((-2 + 2 - 6*v)*(-2 + 2 - 1) + 2*v - 3*v + 2*v + (0 - 1 + 0)*(15*v - 2*v - v) + 4*v - 4*v + 2*v) to c + t*v and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 781, 1419, 2051, 2677, 3297, 3911?\n\"Answer: -3*h**2 + 647*h + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 771 + -464. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201\/17 - -1591\/136. Let u = 4 - 7. Which is the closest to u? (a) o (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*t**5 - 429*f**3*t**3 + 2*f**3*t - 51*f*t**2 wrt t.\nAnswer: 60*f**3*t**2 - 2574*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 1141 - 1952 = -276*r. Solve 3*b - 5*i - 1 = 0, -r*i = 2*b - 17*i + 6 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426 by 11.\nAnswer: 426\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271028.\nAnswer: 2, 3, 157, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042165 to the power of 1\/2, to the nearest integer?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.031?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 14, -13.\nAnswer: -13, -7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021201203 - 301?\nAnswer: 1021200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -53, -55, -55, -53, -49?\n\"Answer: l**2 - 7*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -36, 1, -0.44, -0.5 in ascending order.\nAnswer: -36, -1, -0.5, -0.44, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 0.1 (c) -21 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.01, 7135.\nAnswer: 0.01, 2, 7135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + (-29 - (-34 - 1) - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 21*b**3\/2 + 25*b**2\/2 + 23*b. Let g(z) = -126*z - 50. Let t(f) = -2*g(f) - 5*s(f). Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577 is divided by 88?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 8*x - 17. Let c(b) = -b**2 + 8*b - 16. Let y(q) = 4*a(q) - 5*c(q). Let s be y(7). Solve -2*h = -6*h + 2*m - 20, 0 = h - m + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 87*a - 915 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v - 230. Suppose 172 = 4*f + 4*m, -5*f + 0*m - m = -199. Calculate the remainder when v is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300 - -858. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = -6*y + 3*y, 0 = 3*n + 3*y - 9. Let w(h) = -n*h**2 + h + h + 4*h - 2*h**2 - h**3 - 5. What is the units digit of w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.36 - -0.36. Let f be (-1*2)\/4 + 2. Which is the second smallest value? (a) 0.2 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 1. Let y be x(3). Let l = 6 + y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let f be z(0). Which is the nearest to f? (a) 5 (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 - 4*q + 632. What are the prime factors of g(29)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1012544 - 2?\nAnswer: -1012546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/467 (b) -0.2 (c) -2\/9 (d) -24.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7531255 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5440\/9 - -602. What is the third biggest value in -5, s, 1, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, -2414, -9, 2, 1 in descending order.\nAnswer: 2, 1, -2, -9, -37, -2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -3225bb?\nAnswer: 3225b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.9. Let c = 7 + -7.9. Let a = c - -4.9. What is the closest to 2\/5 in a, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -108. Solve u*a + 4 = 11*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3467548*g*y - 3408655*g wrt y.\nAnswer: -3467548*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.458 + -17575.09.\nAnswer: -17575.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 160*h**3 + 1880*h**2 + 9600*h + 18000.\nAnswer: 5*(h + 6)**2*(h + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129393 is divided by 1487.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from iniinbiisis.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + 5 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -12. Suppose -3*r - h = -5*j, -2*r = -6*r - 4*j + 32. Solve -x + r = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from vlpvx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10300 - 3?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 6*i + 2. Let r(g) = g**3 + 5*g**2 - 6*g - 6. Let d be r(-6). Let u be h(d). Let z = 4 - 4. Solve z = -u*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.8 * -3.\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -1793, -6040, -14305, -27926, -48241, -76588, -114305?\nAnswer: -162730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, -9, 2, 272, -1.\nAnswer: -9, -3, -1, 2, 39, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4405 divided by 881?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*p - 1)*(3 - 3 - p) + 1 - 1 - 2*p**2 + 0 + 0 + p**2 + 105 - 37*p**2 - 105 in the form k*p + q + a*p**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*p - 18, 2*p = -5*z - 3*p + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 4*q - 4. Let w(z) = -2*z - 4 + 3*z + 5. Let c = -13 - -13. Let s be -2 - (4 - (11 + c)). Calculate s*w(a) + j(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(33)*1)\/sqrt(3))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 34. Let u be (-3)\/6 + x\/4. Suppose y = -y + u. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 r when four letters picked without replacement from zrrrzzz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minus 89153904786?\nAnswer: -89153904753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 7*y = 2. Let h be (y\/6*-2)\/(88\/12). Which is the closest to 0.5? (a) h (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 - 11*o - 15. Let x be v(-7). Suppose 0*t + 4*t + 44 = 0. Let m = t + x. What is the least common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2880 = -7*h. Let d = h - 466. Suppose 3 = -z + d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 11*y - 3. Let d be (1\/2)\/((-3)\/24). Give c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6901?\nAnswer: 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 220, 439, 658, 877, 1096, 1315?\n\"Answer: 219*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8568 and -0.05.\nAnswer: -8568.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + (-6)\/(21096\/2645). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724657?\nAnswer: 11, 83, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/4 + 789*z**2\/4 + 15689*z\/2 + 6150.\nAnswer: (z + 75)*(z + 82)*(5*z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + h - 25. Calculate the remainder when k(13) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41986399*x**2 + 13995470*x**2 + 13995463*x**2 + 13995466*x**2 - 7*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2981*n**3 + 1 + 3010*n**3 - 1.\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 299376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 - -191. Solve 3*q - 9 = -m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 75*h - 17*h - 22 = 55*h, 2*l = 2*h + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8659854 and 157\/252.\nAnswer: 17319708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201705070.\nAnswer: 2, 5, 7, 59, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43881 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3) + -3*2 - -7. Let z(g) = -10*g**2 - 5*g + g**3 + 0*g**2 + 13*g**l - 6. Give z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92082*c - 92081*c + 37864 - 37864.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 21*a - 19*a + 3 = 0, 2*a + 4 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8*h = -3*h + 10, 0 = 3*h + 6. Suppose -46*x + 17*x + 58 = c. Solve x*m = -0 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 294*a**3 + 113*a**2 - 106*a - 71. Let y(x) = -41*x**3 - 16*x**2 + 15*x + 10. Let p(z) = 6*j(z) + 43*y(z). Let h be (-5)\/(10\/4) - -11. Calculate p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*a = 27, -4*a - 11 - 14 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 9*u**4\/8 - 3*u**3\/2 - 38*u**2. Let w(c) = 7*c - 2. Calculate 9*w(h) - 2*z(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from rllrryrrlrrylrrrlrr.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y**2 + 8308*y - 2376 = 0. What is y?\nAnswer: -297, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 246 + 225 = 0. Which is the smallest value? (a) 2 (b) t (c) -156 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23337731 greater than 23337733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22622639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 114 = -20*c. Calculate the least common multiple of 16 and c.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15210 and 50139765.\nAnswer: 100279530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 8*u + 2. Let f be t(-7). Let b be (-62)\/10 - f\/25. Let h(j) = -7*j + 0 + 0. Let i(a) = 20*a. Give b*i(m) - 17*h(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 0.3201\nAnswer: -4.8015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 76, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -0.03, 1\/4 in descending order.\nAnswer: 1\/4, -0.03, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1513670999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -19. Suppose 4*d = 0, -5*z - 4*d - 1 = -g. Let u(p) = p**2 - p + 3. Let y be u(0). Solve 6 = y*b - 5*c, z*c = -2*c - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 - 450*f**4 - 10520*f**3 - 15840*f**2 + 77440*f = 0.\nAnswer: -44, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b = 2*w - 8, 3*c - 22 = -5*w + 7. Let n be 2\/c*(-18)\/8. Is -1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + v = -d + 2, -2*v = 4*d - 14. Let x(a) = -3*a**2 - 1. Let o(g) = g**3 + 7*g**2 + 3. Give d*x(m) + 2*o(m).\nAnswer: 2*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -373 - -1829\/5. Find the common denominator of v and ((-24)\/(-27))\/(2\/(-24) + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2\/25*o**5 + 1\/6*o**4 + 1\/15*o**3 + o + 0*o**2 + 2. Let s(b) be the first derivative of q(b). Factor s(y).\nAnswer: 2*y*(y + 1)*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1*(-17)\/102\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27133*g**4 + 2110*g**3 - 86198*g**2 + 4*g - 31.\nAnswer: 651192*g + 12660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2401.51568 - 2401.8. Round a to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - 4. Let a(x) = -3*x**2 - x - 1. Let p be a(-1). Let v be b(p). Let s = -4 + v. Calculate the smallest common multiple of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -19. Sort z, -4, 4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2. Let x be k(-1). What is the units digit of 4\/16 - (-35)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - 2?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*l + 13, l = 2*h - l + 32. Let v = 794 + h. Suppose -3*d - 253 = -o, o = 4*o - 3*d - v. What are the prime factors of o?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1331630 and -63\/430?\nAnswer: 57260090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181 + 577?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10222 or -529\/20?\nAnswer: -529\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/88 and -99\/296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 1:50 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972709 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78652*j**2 - 1654398*j**2 - 3318221*j**2.\nAnswer: -5051271*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5\/9 - 38*w**4\/9 - 716*w**3\/9 + 5720*w**2\/9 + 800*w\/3 = 0?\nAnswer: -12, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 49318878449336*b + 12*b**3 - 49318878449336*b.\nAnswer: 12*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 17.\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4441 or 286?\nAnswer: 4441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*u - 6*u + 4*y, -3*u = 4*y + 25 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 696140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -73*r**2 + 648*r + 158. Calculate m(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 19 + 1. Let p(j) = -15*j**2 - 6*j + 2. Let n be p(4). Let v = -253 - n. Solve -m = -6*f + v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, k: 2, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let v be a(-1). Let t = v + 5. Calculate the lowest common multiple of t and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/418146 and 91\/75.\nAnswer: 10453650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.999 - -8.001. Put 3\/4, 3, z in ascending order.\nAnswer: 3\/4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26234?\nAnswer: 2, 13, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.96 in -3, -2\/5, 9, 4\/5, -2\/49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -74 = -1791\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 2837 - 8530 + 2842 + 2851.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = 17. Let h(n) = n**2 - 12*n + 13. Let r = 3 - 2. Calculate the remainder when h(b) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -29, -45, -61, -77, -93?\n\"Answer: -16*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -9*r**5\/20 + r**4\/4 + 4*r**3\/3 - 2*r**2 - 6*r. Factor g(h).\nAnswer: -(h + 1)*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 - 3. Suppose 2*j = -4*a + 9*a + 148, -3*j - 33 = a. What are the prime factors of a\/(-8)*(w + -3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349 + 657. Suppose -2*u - 2*w + z = 2*u, 2*u - 5*w = 154. 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 r = 434.9 - 441.9. Let f = 0.4 + 4.6. Which is the biggest value? (a) f (b) -5 (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040363 plus -68?\nAnswer: -68.040363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40025.87 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*l - 21, 2*y + 0 = l + 3. Let f = -826 + 1174. Suppose 0 = l*a - 3 - f. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -47 + 191. Suppose 7*j - 1 = d*j - g, 0 = j + 5*g - 5. Solve 5*p - 4*n + 16 = j, -n + 2*n = 5*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - m + 5 + 7*m - 6*m as c + a*m**2 + r*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**4\/3 + 248*x**3\/3 + 254*x**2\/3 + 64*x\/3.\nAnswer: -2*x*(x - 32)*(2*x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 24*j**2 - 50673*j - 1318845. Calculate z(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 80*t - 5*s + 17 = 0, -4*t = -4*s + 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22863377 is divided by 147?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 477*a**4\/2 - a**3\/3 + 26*a + 787. Find the third derivative of k(w) wrt w.\nAnswer: 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*h - 4*h - w, 5*w = -2*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5472 + 8692. Round z to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 47. Suppose o = 3*u + 23, 0 = 3*o - u + 19 - q. Suppose -2*l = o, -4*i + 8*i - 5*l - 276 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 12. Let d = -8 + x. List the prime factors of d*(-6)\/(3\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4330, -52.\nAnswer: -4330, -52, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 + 60*s**3 - 384*s**2 - 1024*s = 0.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*y + 336, 0 = -4*y + 4*k + 138 + 282. Suppose 2*r = y + 28. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 31368*o**2 - 31368*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*k - 260, 2*l - 110 = -0*l + 4*k. Let i be 11\/(385\/(-10)) + 32\/l. Factor i*p**2 + 0*p + 0.\nAnswer: 2*p**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.3 and -0.05?\nAnswer: -1.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 69?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-312)\/5460 + (-9)\/105*-269)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1018\/57 + 116711\/6270. Find the common denominator of -179\/60 and q.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13214*o**4 + 2*o**3 - o - 9149.\nAnswer: 52856*o**3 + 6*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23934)\/(-8))\/((-276)\/(-368)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + -1)*4 + sqrt(1700))**2*6 - 2*(-1*sqrt(1700) + 1)**2)*2.\nAnswer: -4720*sqrt(17) + 503388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -15*f + 4*f. Let b(a) = 8*a + 4*a - f*a + 8*a. Let j(l) = -19*l**2. What is b(j(k))?\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2\/13 (c) 16259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478421?\nAnswer: 478421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m - h + 62, -2*h = -2*m + 74. Determine b so that b**2 - 38*b + 6 - 3 + b**3 + m*b = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-22) - -1 - -1. What is the biggest value in -5, -1\/7, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > -7300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 19*u - 39. Let h be q(3). Let x(s) be the first derivative of 7 + 1\/4*s**4 - 13*s - 1\/2*s**2 + 3*s**3. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-12)\/(-32)). Let o(j) be the first derivative of -3*j**2\/2 - j - 60. Give o(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 10*c + 7. Give m(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 24. Calculate q(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 65379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9368 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189*(10\/(-6) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1569 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 3, 0.21, -0.5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 30 = 2*l, -4 = -r - 5*l + l. Suppose r*d - i = 3*d + 155, 145 = 5*d + i. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (798\/(-57))\/(-14)*(0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/39930 and 74\/15.\nAnswer: 39930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-234))\/(4\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 81\/18. Suppose -m = -5*z + 56. Suppose -2*k + 0*k = -3*l + 29, -z = -4*l - 4*k. What is the remainder when 13 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11a39 (base 11) to base 7\nAnswer: -101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4343 + -1320434?\nAnswer: -1330332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.7 - -33.7. Which is the nearest to -0.2? (a) 2\/3 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 13*s + 27. Let k be f(11). Suppose 0 = -k*d - 314 + 839. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 79 - 150 + 72. Let b(p) = -p + 31. Let d(o) = 2*b(o) + 22*t(o). What is the derivative of d(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25833, -25835, -25839, -25845, -25853, -25863, -25875?\n\"Answer: -a**2 + a - 25833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/63 + (-9)\/(-27)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 5. Let p(y) = y**2 + y + 1. Determine a(q) + 5*p(q).\nAnswer: 5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18054\/71 + 31474157\/123753. Calculate the common denominator of c and 14\/15.\nAnswer: 8715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - (-3)\/(-54)*29 and -3*(-1)\/((-12)\/21)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 26*v - 67. Let s be n(-3). What is the highest common factor of 111 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 1 + 1. Suppose -a*b - 3*z + 35 = 2*b, 2*z = 3*b - 22. Calculate the remainder when 32 is divided by 134\/b - 1\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-21)\/(-6) + -3). Let g = b + 1. Solve -m**g - 1\/2 + m + 1\/2*m**4 + 0*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from {v: 2, h: 3, o: 7, e: 5, q: 1}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 265 - (-3 - (1 - 5)). Let q = o - 107. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*1*145013\/33)\/6. Let r = t + 1463. What is the common denominator of r and -115\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 126. Let x = 0.7 - 3.7. What is the nearest to -2 in x, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8598720 divided by 4.\nAnswer: -2149680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3272055170?\nAnswer: 2, 5, 19, 53, 324931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 36*k**2 - 135*k + 615. Give n(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1813, -0.052, 4, 1?\nAnswer: -1813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l**2*s + 2625*l**2 - 17*l*s - 10*l - 58065811*s wrt l?\nAnswer: -12*l*s + 5250*l - 17*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 3. Suppose k + u = 2*q, -11 = 3*q + 5*k - 17. Factor 12\/5*n**3 + 0 + 8\/5*n**4 + 2\/5*n**5 + 2\/5*n + 8\/5*n**q.\nAnswer: 2*n*(n + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - 5668\/(-28) - (8 - 300\/35). Calculate the greatest common divisor of c and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(128)*-2)**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*s + 1320924 = -75*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 148797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = a + 129, -5*y + 114 = 4*a + 5. Let p be 920\/90 - (-2)\/(-9). Suppose 3*g - p = g. Solve 2*c - 4*b - 14 = 0, 2*c + y = -3*c - g*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**3 + 7*q**2 + 17. Let i(f) = 8*f**3 + 4*f**2 + 9. Let p(d) = -7*i(d) + 4*r(d). What is the first derivative of p(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5862 divided by -977.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*d**3 + 4*d**3 - 18*d**3)*(-44*d - 986 + 986) to m*d**2 + b*d**3 + q*d**4 + t*d + r and give q.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -658286 smaller than -658284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**0\/y)**(-48)*(y**(-3\/7)*y*y)\/(y*y*y**(-1\/3)))**(4\/15))**(1\/4) assuming y is positive.\nAnswer: y**(1006\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b3483a (base 12) in base 6?\nAnswer: 140101314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -14 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2 + 5. Let q be (11\/(44\/216))\/n. Suppose 3*i = i + 54. Calculate the greatest common divisor of q and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 6:25 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 0*f)*(-5*f - f + 3*f + 34).\nAnswer: -9*f**2 + 102*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 77, 4, 7, 0 in increasing order.\nAnswer: -3, 0, 4, 7, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -74, -119, -108, 1, 250?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 492274\/795 - 3096\/5. What is the fifth biggest value in 1\/4, -3, f, 5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -542*v + 124*v**2 + 542*v in the form w + l*v**2 + s*v and give l.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.83 * 7499.\nAnswer: 13723.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 4*c + 11 + 117, 14*d + 5*c = 10*d - 167 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*v + 129 + 1289 = 0, 0 = 2*z - v + 945. What is the tens digit of (z\/(-10))\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/50 - 27*l**5\/100 - 5*l**4\/4 - 27*l**3\/10 - 3*l**2 + 2475*l. Suppose n(k) = 0. What is k?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 - 6 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3 + 63*m**2 - 91*m - 22841 wrt m?\nAnswer: 6*m**2 + 126*m - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11234 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.2568623 months?\nAnswer: 0.000104738525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 4*p - 5*j, 18*p - 16*p - 4*j + 4 = -j - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21163 is divided by 2144.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 46 = -0*t. Calculate the remainder when 11\/(-2)*(-37 + t) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 843 = 3*h - h, -2*v - 5*h = -314. Let r = -103 + v. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49970?\nAnswer: 2, 5, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126\/10 + 11\/(275\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2 + 13720*a + 462360.\nAnswer: 2*a + 13720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -42*g + 1. Let f(s) = 235*s**2. What is f(m(t))?\nAnswer: 414540*t**2 - 19740*t + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/4*((-32)\/10 + 4). Suppose -5*o - g - j = -5*g, -5*g = -5. Which is the nearest to 0? (a) 3 (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Let i(n) = -2*n - n + 7*n - 1. Give i(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7573430 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 5. Let k = 12 - a. Solve s = 2*s + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + 4 + 7 + 2\/2. Solve 0 = o*j + 30*j - 32 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19374*s**2. Let c(p) = 2*p**2. Calculate c(k(l)).\nAnswer: 750703752*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 7. Suppose -9*x + 12*x - 30 = 0. Let k be ((-4)\/x)\/(4\/(-1440)). Calculate the highest common divisor of k and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 31, 2, 0.4, -1, 18 in decreasing order.\nAnswer: 31, 18, 2, 0.4, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-2799)\/(-33) - (-14)\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:43 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*11\/22*(-4)\/(-24)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 162212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:44 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/15 + 733*w**4\/3 - 1074578*w**3\/3 + 524*w**2. Determine k, given that h(k) = 0.\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/8 of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let g(r) = 1010315*r**2 + 92*r + 3. Give s(g(y)).\nAnswer: -1010315*y**2 - 92*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 105 = 2*b. Let j be ((-56)\/12)\/b + (-849)\/(-9). Is 1\/4 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 49323803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -901*d + 29 - 611*d - 939*d - 29 in the form w + z*d and give z.\nAnswer: -2451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 l when three letters picked without replacement from yxryyrlsy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8216520 divided by -1643304.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 - l**5\/20 - l**4\/6 - 2*l**3\/3 + l**2. Let w be z(4). What are the prime factors of 162\/21 + w\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1320*y**2 + 39984*y - 39984*y + 1320*y**2 - 7*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 8*w + 3*w**2 + 0 + 1\/60*w**5 + 1\/12*w**4 - 1\/2*w**3. Let q(d) be the first derivative of r(d). Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69478426 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: Does 117 divide 85515534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35914.4054 + 31601.762. Let i = 4313 + t. Let o = 0.35 - i. Round o to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - 55*x = -68*x - 98*x. Solve x = 28*o + 26 + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903 divided by -11?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31848559 and 254905.\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.94 + 0.94. What is the second smallest value in 2\/3, v, -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109.477 - 0.523. Let f = m - -79. Which is the second smallest value? (a) 0.5 (b) -4 (c) f (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/24 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2816600 divided by -8?\nAnswer: 352075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -938976 take away 0.07?\nAnswer: -938976.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*w - 9*w - 191, 4*k - 3*w = -749. Put k, 4, 1 in decreasing order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 7*k - 5. Let p be b(5). Suppose -4*x + p*x - 6 = 0. Let u = 4643 - 4635. What is the greatest common divisor of u and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 331?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528.6064 grams to nanograms.\nAnswer: 528606400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4500) - sqrt(4500))*4 - (sqrt(4500) + -4*(sqrt(4500)*1 + sqrt(4500))))\/(sqrt(45)\/(sqrt(5)*-3) - sqrt(324)*3).\nAnswer: -42*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 561390979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146641*c*i**2*m*w - c*i**2*m + 7*i**2*m + 6*i*m + 26*m*w wrt c.\nAnswer: -146641*i**2*m*w - i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 338.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15b + 2?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4674 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1451 - 1463\/8706. Let y be 3\/(-22)*32\/(-24). Which is the third smallest value? (a) y (b) 0.8 (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 1. Let m(d) = -8*d**2 - 15. Calculate m(i) + 4*s(i).\nAnswer: 4*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 6*z**3 + 3*z**2 - 6*z**3 + 12*z**3 - 2*z**3 - 3 + 0*z**3. Let a(r) = -5*r**3 + 8*r**2 - 8*r - 8. Calculate -3*a(t) + 8*d(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -5 (c) -11 (d) 4\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*s + 561 = 2*x, 3*s = 2*x + 387. Let d be (4\/(-6))\/(18\/x). Suppose -r + 11 = -d. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*d + 137*d - 66*d - 179*d.\nAnswer: -376*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692753100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i + 3987. What is v(-62)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9501\/16439?\nAnswer: -9501\/16439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -27. Suppose -2*w + f = 2*s, 4*w = -s + 9 + 13. What is the third derivative of 7*j**3 - 3*j**3 - 18*j**s + 22*j**2 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7 - -6) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-15)\/120)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwww when four letters picked without replacement from {c: 5, w: 3, t: 3, i: 2}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137717667 at most as big as 137717666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 15, -o + 5*a - 4815 = -3*o. Suppose 0*d + o = 3*f + 3*d, -3*f = d - 2423. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 466781 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6 - 58*d**2 - 69*d**2 - 64*d**2 + 181*d**2. Let u(n) = 2*n**2. Give p(u(f)).\nAnswer: -40*f**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 19*p - 241 = 0. List the prime factors of p.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.83 - -0.47. Let g = 3 - j. Let t be 3 + -3 - 4\/(-14). What is the biggest value in 0.2, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348415.\nAnswer: 5, 869683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787 - 1829 = -6*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7308)\/45)\/(-1)*5\/7?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246\/(-1353) - 117154\/(-22)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.2203 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9660.541 hours?\nAnswer: 34777947600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29800.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*t = 2, 3*u + 6 = 27*t - 31*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 7*m - 1472. Calculate the greatest common factor of 69 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let r = -676 + 676. Let y(n) be the second derivative of -2*n - 3\/2*n**2 + 0*n**3 + 5\/12*n**4 + r. Calculate y(o(v)).\nAnswer: 5*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3514 - 3503. Suppose -5*g + 0 + 20 = 5*p, 2*p + 7 = 3*g. Solve -i = -g*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkboubobmjo. What is prob of sequence kbob?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2722979 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 4) in base 14?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -87*f**2 + 308. Let n(h) = -34*h**2. What is b(n(i))?\nAnswer: -100572*i**4 + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92150402 is divided by 465406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(405) - sqrt(5)) + 1)*-6)**2*2 - (((sqrt(320) + sqrt(5))*-5)**2 - (-5 + sqrt(15)\/sqrt(3))*-3).\nAnswer: -1443*sqrt(5) + 25962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 9*w**5 - 1239*w**4 + 33999*w**3 - 230541*w**2 - 568080*w - 302292 = 0?\nAnswer: -1, 18, 311\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 4*v + 3*v + 2*v + 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4669 and 1197091.\nAnswer: 27533093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let q(y) = y**3 + 6*y**2 + 7*y + 11. Let h be q(-5). Put h, 1\/2, i, 0.7 in decreasing order.\nAnswer: h, 0.7, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let j be h(-5). Suppose 2*x - 1486 = 3*v - 4*v, j*x + 3*v - 2968 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 0 + -50 + 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 0.2, 3, -5, 0.2966?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -52*v**2 + 4682*v - 213. Calculate x(90).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:31 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666) - sqrt(1666)*2 - (sqrt(34) - (sqrt(204)*-2)\/sqrt(6)))\/(3*sqrt(8)\/sqrt(4) - (-3*sqrt(8) - sqrt(2))) + 0.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658746525.\nAnswer: 3, 5, 73, 120319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 13. Let y(k) = 38 - 10 - 12 - 10 - 7. Give -b(c) + 6*y(c).\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 117*m**2 + 16*m - 23. Let c be b(7). Suppose 0 = -8*r + 2130 + c. What are the prime factors of r?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(3))\/sqrt(2).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 271088 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 29 = -2*x, -4*x - 2*i + 3*i + 67 = 0. Suppose -75 = -4*h + x. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/z*z*z**9)\/((z**(-9)*z)\/(z*z**(1\/10)*z*z)) assuming z is positive.\nAnswer: z**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v - 28*v + 32*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 3, -3, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1244 divide 4996199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52208 or -365460\/7?\nAnswer: -52208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5252.09 + 68474.2.\nAnswer: 63222.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 44 - 47 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 3*j + 5*j + 4*j - j. Let u(q) = -40*q. What is u(t(r))?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**6\/720 - h**5\/20 + 77*h**4\/6 + 305*h. Let i(x) be the third derivative of a(x). Let u = -15 + 22. Determine i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (489 + 17 - -15)\/((-3)\/(-3*19)). What is the greatest common divisor of p and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 116 = 2*g. Let a = -77 + g. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2920, -5704, -8280, -10552, -12424, -13800?\n\"Answer: 16*o**3 + 8*o**2 - 2920*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -6\/5*s + 5 - 8\/5*s**2 - 2\/3*s**3. Let f(c) = 0. Calculate c.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.358.\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749412.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31755, -254168, -858007, -2034030, -3972995, -6865660?\nAnswer: -10902783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 859.5 + -859. Let m = -29\/15 - -18\/5. What is the fourth biggest value in 5, l, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 12697551.\nAnswer: -1\/4232517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v + v**5 - 2*v**5 + 0*v**5 + 0*v**5 + (-1 + 1 - 3*v**3)*(v - v - 2*v**2) - 34 - 11*v**5 + 34.\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 9}. What is prob of sequence jj?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*x + 166. Calculate the lowest common multiple of x and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 9, s: 4}. Give prob of picking 1 s and 1 f.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 + 84293303082.\nAnswer: 84293303085.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let l be y(6). Suppose -l = -0*v + 3*v + 4*d, -v = 5*d + 13. Let s be 3*(-2 + (1 - -2)). Sort s, v, -5 in decreasing order.\nAnswer: s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*l**2*x - 437*l**2 - l*x**2 + l*x + 10991*x**2 + 40*x - 15 wrt l?\nAnswer: 18*l*x - 874*l - x**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 27 = y + 6, -y - 3*m - 19 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -623870 * -5\nAnswer: 3119350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 20 = 0. Let x = -21 - -29. Is -178*m\/x*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 10, d - 251*g + 249*g - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176611 is divided by 43777.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -231, -379, -541, -723, -931?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-9))\/((-12)\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Suppose -a - 3*a + 24 = 3*n, 0 = -4*a - 2*n + 28. Sort a, f, 2 in ascending order.\nAnswer: f, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 18, -5, -1.3, -36?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/(-2 + -1 + 2). Let i = y - 26. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21c8 (base 13) to base 8\nAnswer: 11167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t + 2 = 32*t. Suppose -5*z + 255 = -t*y - 2*y, -180 = -3*z - 3*y. What is the remainder when 161 is divided by z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 20, 4, -5, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 121 = f, -5*o + 3*o - 4*f + 38 = 0. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**4 + 3*v**3 - 23*v. Let c(a) = -51*a**4 - 8*a**3 + 68*a. Let u(f) = 3*c(f) + 8*m(f). Find the second derivative of u(r) wrt r.\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 135 + -22?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 7, a: 1, d: 3}. Give prob of sequence aad.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 151*n - 5 + 209*n + 2 to w*n + a and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 972264556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 21\/842?\nAnswer: 21\/842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 + (-117)\/(-189)*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108362 or -107346?\nAnswer: -108362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:09 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 818718 minus -193739?\nAnswer: 1012457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 4998351*z + 9996690.\nAnswer: 3*(z + 2)*(z + 1666115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42950.2831 rounded to the nearest 100?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-14)\/(-609)*-203\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8 and -89\/11436.\nAnswer: 22872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6 - 2*t**2 - 6 + t**2. Let n(b) = -6*b**2 + b**2 - 3*b**2 - 2*b**2. What is n(u(f))?\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90607195 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11 = -5*t, -k = -2*k - 3*t - 7. Suppose -12*b + 9*b + 54 = 0. What is the smallest common multiple of b and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 7\/251?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/7)\/((-744)\/742 - -1).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 3*t - 4*t)*(-94 - 39*t - 86 + 179) + (0 - t**2 + 0)*(4 - 5 - 1) as x + s*t**2 + o*t and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 48. Suppose -j - 61 = 3*a + 96, -4*a - 3*j - 206 = 0. Let n = t + a. What is the lowest common multiple of 3 and n?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + (-24)\/(-10). Let y = 238111\/5 - 47622. Which is the closest to -0.1? (a) r (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -967582741401.\nAnswer: -967582741400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187.03536 + -187. Round x to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3 + 7. Suppose 2*z = 10*z + 440. Let s = -55 - z. Is s < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 161\/7 - (3 - 9 - 5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32562631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12756 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*-3*(1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(3003\/(-63))*-3*(-4)\/(-36)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.351935 to two dps.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 + 6. Let k(f) = -f**3 - 2*f + 2. Let t be k(2). Let g = 13 + t. Which is the second biggest value? (a) g (b) -5\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*l**3*v**3 + 623*c*l**2*v**3 + 4*c*l**2*v**2 - 2*l**3 - 3*l**2*v + 5*v**2 wrt v?\nAnswer: -6*c*l**3 + 3738*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3. Let w(h) = -4*h + 81. Let z be w(20). Let u(f) = 1. What is z*t(b) - 2*u(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*d*m**4 - 34*d*m - 3*m**4 + 2*m**2 wrt m.\nAnswer: 816*d*m - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*u. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 + 238*p**2 + 2487*p + 142. Give u(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (589\/(-114))\/(2\/(-1101)) + (-37)\/148 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 + 47*i + 358. Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.902 and -9.\nAnswer: -16.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112111100111010 + 10?\nAnswer: 2112111100111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -15852, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100372450 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4445 + -8091?\nAnswer: -11526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 381 + -265?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135\/2 + 64. What is the common denominator of w and (86\/(-64))\/((-21)\/(-42))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2816) + (sqrt(176)*2)\/sqrt(4))\/(sqrt(324)\/sqrt(9) - ((sqrt(256) - sqrt(256)*-2) + sqrt(256))).\nAnswer: 6*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 52 = 7*q. Suppose -2*r + 33 = 5*y + 5, 2*y = 3*r - q. Suppose -4*x = -684 + y. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2860, 5195, 9104, 14587, 21644?\n\"Answer: 787*v**2 - 26*v + 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255350 (base 9) in base 6?\nAnswer: 3152500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(900)*-2 + sqrt(900)))\/((sqrt(20) + sqrt(180))\/sqrt(4)*5).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 10. Let t be p(-5). Suppose -v + 28 + 14 = t. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4\/194761, 156?\nAnswer: -4\/194761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 670 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2255*c - 186. Is s(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20328 divided by -28\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 2, 140?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*w**5 - 41*w**4 + 35*w**2 wrt w.\nAnswer: 780*w**2 - 984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24ecd + 15?\nAnswer: -24eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10868)\/(-369512))\/((-2)\/51)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:37 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95319, 95322, 95325?\n\"Answer: 3*n + 95316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/105 + 72\/7. Suppose -j*o = -277 - 23. What is the second derivative of -o*c - c**2 - 2*c**2 - 8*c**2 - 8*c wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2188 * 10\nAnswer: -21880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3007)\/279 + (-4)\/18. Let z be 396\/165*(-10)\/4. Is d < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 - 67. Let s = 2511 - 2377.7. Let p = o - s. What is p rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-4)\/(200\/(-15))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45848.79 years?\nAnswer: 550185.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009808 to six dps.\nAnswer: -0.000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -34.75 * 798\nAnswer: -27730.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 1365, 2105, 2881, 3693, 4541?\nAnswer: 5425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + u + 36. Let p be 10 + -1 + 12\/u. Let c be 0 - (117\/p*-2 - -3). Calculate the greatest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/14)*y)\/(y*y*y*y**(-24)) assuming y is positive.\nAnswer: y**(323\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 30*b**2 - 25*b**2 + 32*b**2.\nAnswer: 62*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -14 in decreasing order.\nAnswer: 5, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u. Let l be (-115)\/(-35) + 1 + -4. Factor 0 + u*o - l*o**2.\nAnswer: -2*o**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {p: 3, a: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8270 - 459. Is 73 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594601046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/11 - 2*t**2\/11 - 28*t\/11 + 48\/11 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzxxzzxxxz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5074*y - 5062*y = 48. Solve -y*l - 2 = 5*s, 21*s - 25*s - 2*l + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -o - x, 2*x - 35 = -5*o - x. Suppose 80 = 5*h + r, h - 2*r - o = 1. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 24*g + 27. Let r be n(-6). Let y be (8\/(-40))\/(r\/(-30)). What is the nearest to -0.1 in y, -4, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l + 181. Let d be o(-5). Sort 27, 15, d in decreasing order.\nAnswer: 27, 15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)*1 + -1. Let w be (4 + t)*(-6)\/(-4). Let q(c) = 3*c. Let x(r) = 4*r. Determine w*q(y) - 2*x(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -171, -405, -749, -1209, -1791?\n\"Answer: -m**3 - 46*m**2 + 15*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11300?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/16334 and 32\/161.\nAnswer: 2629774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 14 + (-928)\/96)*(-12039)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, and 1 z when three letters picked without replacement from {p: 1, c: 1, z: 1, n: 2, v: 1, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2041873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0 in increasing order.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 - 104*v**3 - 1836*v**2 - 11560*v - 9826 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 3*f, 2*s - 2*f - 5 = s. Let j(u) = u**2 + 9*u + 9. Let k be -12*2*2\/6. Let x be j(k). Put x, 2, s in decreasing order.\nAnswer: s, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 72972823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1478 + -1?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozz when four letters picked without replacement from zooooooooooozozooooz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 + -4 - -4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22744806?\nAnswer: 2, 3, 7, 541543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -25*q + 64. Calculate the highest common divisor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 24045257 = -g + 24045237, -3*g - 2*a = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38061 + 38063. Find k, given that -27\/7*k**w + 81\/7*k + 3\/7*k**3 - 81\/7 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3465*m - 76*m - 5412*m + 2591*m - 2710*m as p + o*m and give o.\nAnswer: -9072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 9*i + 7\/2*i**2 - 77\/2*i**4 + 0*i**3 - 217. What is the second derivative of l(d) wrt d?\nAnswer: -924*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041371 - -6.18.\nAnswer: 6.221371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3277 + -3258. Let v(t) = 2*t - 51. What is v(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5355 and 389963?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - (-27129)\/(-6))*(-2)\/5. Suppose -5*z = -3*i - x, 2*i - 879 = -2*z - 145. List the prime factors of z.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 7*l**2 - 24*l - 40. What is the remainder when o(-4) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340 - 341.4. What is the closest to i in -1, 0.5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*w + 8, -6*w + 9 = -4*a - w. Solve 0 = 3*j - 1 + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let p(f) = 4 - l + 3*f - 7*f. Let t(o) = o - 15. Let b be t(8). Let m(v) = -13*v + 4. Give b*p(z) + 2*m(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -8 + (-16)\/(-8). Let a(z) = -z**3 + z**2 + z - 3. Let k be a(-3). Let l be k\/(-25)*q\/1. Solve 3*t - 6 - l = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose i*u - f - 6 = 0, 4*u + u = f + 12. Let n be (-18)\/(-2)*12\/9. Solve h + u*h = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 6, 2, 261 in increasing order.\nAnswer: -2, -0.2, 2, 6, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4\/6 + 1985*h**3\/3 - 175560*h**2 + 15681600*h - 30666240.\nAnswer: -5*(h - 264)**3*(h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**3 + 73*a**2 - 19*a - 2. Give v(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81977003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.97 (b) -7\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 73*a + 0*a + 3 - 2.\nAnswer: -108*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((2\/364)\/(5\/10)). Suppose 283 = 4*o - 3*g, 5*o + z = 9*o - g. What is the tens digit of 2 + o - (0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127 is divided by 351?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 36 (c) -44 (d) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122212102202 (base 3) to base 4.\nAnswer: -3113213000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 14*c + 1. Let u be 4\/14 + (-654)\/(-14). What is the common denominator of (u\/(-4)*1)\/c and -101\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 641 + 831 = -4*k, -2213 = 3*a + k. Are a and -738 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -30*j**2 + 1. Let v(x) = 34*x - 34*x + x**2 + x**2. What is z(v(a))?\nAnswer: -120*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -19. Let r = i - 4.03. What is r rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:28 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45157881 + 26366001 = 377*v - 4253872. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4 - 3 - q**2 - 2*q - 4*q**2. Suppose -3*d = d - 4. Calculate k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 85*o**2 - 36*o + 409. Let d be v(-43). Let r be (-35)\/(-1) + (-1 - -2). Calculate the highest common divisor of r and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from kspsssk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a - 15 = 0. Let c = -3 - a. Suppose 5*w - q - 93 = 0, -3*q + 41 = 4*w - 22. Calculate the lowest common multiple of c and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 5*l - 3*n, 0 = l + 776*n - 779*n + 1 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.0338787.\nAnswer: 0.1693935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 946*k**2. Let w(g) = -g**2. Give w(b(p)).\nAnswer: -894916*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -398, -598, -798, -998, -1198?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -43. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 5. Let n be o(4). Let i(u) = 2*u**2 - 23*u + 6. Let t be i(14). Calculate the greatest common divisor of n and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Three letters picked without replacement from lddbbyhq. Give prob of sequence lyh.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = -5*b, 2*v - 8*b = -4*b + 12. Let s(u) = u**2 - 9*u + 5. What is s(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 1, 3, -2 in descending order.\nAnswer: 5, 3, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -53*o + 181. Determine k(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:44 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(117) - (sqrt(117) + sqrt(117)*-2)))\/sqrt(9).\nAnswer: -10*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 7. Let p(x) = -1. Let j(b) = -b + 4. Let u(h) = j(h) + 6*p(h). What is the remainder when 7 is divided by u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829092 is divided by 55264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/8 - o**2\/8.\nAnswer: o**2*(o - 1)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r = -2949, 0 = 3*m - 11*r + 13*r - 4395. Suppose -m = -25*u + 7983. Is 42 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (51 + -2 + -9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3097, -11189, -24735, -43741, -68213, -98157, -133579?\n\"Answer: -h**3 - 2721*h**2 + 78*h - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -11959, -14.\nAnswer: -11959, -14, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460332 and 2033.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - 1763*k**3 + 1035468*k**2 - 202260240*k - 203297472 = 0. What is k?\nAnswer: -1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11166.14388 - 373314.\nAnswer: -362147.85612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 6*m - 4*m)*(0 + 3 - 1)*(4*m + 12*m - 5*m) + 4*m**2 + 2*m**2 - 4*m**2.\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -221, 5, 1735, -5?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212105710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30079.3 + -32078.384. Let g = -1982 - w. Let k = g + -17. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02515 to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 1. Let w(o) = -o - 1. Let h(i) = -7*i - 4. Let x(b) = h(b) - 3*w(b). Let d be (-2)\/4*(-2 - -10). Give d*x(l) + 5*y(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(115\/2)*10\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.808 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 10*g**2 + 8*g - 7. Suppose 0 = 6*n - 14 + 2. Suppose -n*l - 8 = 4*u + u, -u = 3*l + 25. Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-3 - -2) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 21. Let t = h - -2. What is the remainder when 9 is divided by 42\/t - (-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-169)\/26)\/(3\/(-12)). Let u be (6 - b\/3)*(-6)\/4. Suppose 32 = -3*f + 5*f. Solve -u*m = -5*w - 40, -4*w + f = -8*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:13 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a - 42*a = -1593. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/210*-7)\/((-7)\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -4\/5, -3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = 2*c - 2*g - 207, 5*g = 3*c + 57 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3370*x**3 - 4559*x**2 - 22987593*x wrt x?\nAnswer: -20220*x - 9118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7 = 2*h, d = 2*d - 5*h - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Solve -3 = -2*y + b*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8\/3, -0.2, 0.2, -1.2, -9 in increasing order.\nAnswer: -9, -4, -8\/3, -1.2, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2760 + 1410361\/511. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 24. Let f be (-84)\/15*s\/4. Suppose -f - 2 = -2*z. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392418 is divided by 47848.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162893084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 9*x**2 - 2*x + 3. Give b(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9))**(2\/63) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 167 * 0.1\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 19 - 14) + 4 + 2 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-9 + -1 - -3) - -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, 2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 12. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14157791*h**2*z**3 + 24867*h*z + 81*z**3 wrt h.\nAnswer: 28315582*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:27 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - f = -21, -8*d + 3*d = -2*f + 22. Let g(z) = 7*z - 4. Let i be 6\/10 + 27\/(-45) + 2. Let x(s) = s + 5*s - 36 + 31 + i*s. Determine d*x(j) + 5*g(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5069211 - 3570789. Suppose 0 = -5*d + 4 + 6. Suppose -z + j = d*z. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12787.9799628 and -0.2.\nAnswer: -12788.1799628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*s - 41758 = -715606. List the prime factors of s.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1170\/11, 3\/8, -2, -3 in descending order.\nAnswer: 1170\/11, 3\/8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068547.\nAnswer: 641, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/200*5)\/((-6)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/((-504)\/240)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 4. Let g = f + -5.6. Which is the smallest value? (a) g (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 0*p)*(5*p - p - 2*p) - 3*p**2 + 0*p**2 + p**2 + (-p + 4*p - 2*p)*(0*p - 2*p + p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814.21 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxokxoxoxxoxxwx. Give prob of picking 2 o and 1 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 4*f - 26290. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44030 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2672*q**3\/3 + 43*q**2 + q + 3304. What is the second derivative of f(t) wrt t?\nAnswer: -5344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 4*b - 4. Let n = -5 - -5.5. What is the nearest to 1 in -2, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-3)*(19 + -16). Let i = t - -17. Let n(h) = -h**2 - h - 3. Determine n(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 14) in base 4?\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -172*g**3 - 21*g**4 + 458*g**2 - 669*g**2 + 4*g**5 + 451*g**2 - 51*g**4 = 0. What is g?\nAnswer: -3, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74081222 to the power of 1\/2, to the nearest integer?\nAnswer: 8607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2495, -10000, -22507, -40016, -62527, -90040?\nAnswer: -122555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, s: 2, n: 5}. What is prob of picking 1 s and 2 h?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103212 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 188741.37 rounded to the nearest 10?\nAnswer: 188740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**23*r*r))\/(r*r**(1\/46)*r))**50 assuming r is positive.\nAnswer: r**(-31075\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = x + 572, -8*t + 7*t - 3*x = -143. Suppose j - 3*u = -j + t, -j - 2*u = -54. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 9305?\nAnswer: 3\/9305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1296693852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2523.8, -15, -4, 0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l\/(l*l*l**(5\/4)))*l\/(l*l**(5\/2)*l*l)*l*(l**(-1\/4))**(-6\/13))**(-1\/55) assuming l is positive.\nAnswer: l**(59\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w)**(-3\/16) assuming w is positive.\nAnswer: w**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148.8432 rounded to zero decimal places?\nAnswer: 9149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, i: 3, k: 2, j: 2, s: 2, b: 2}. Give prob of picking 1 k and 1 s.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - (7 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sannnkqkksnsaan. What is prob of sequence ksan?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57108929039.7 and -14.\nAnswer: -57108929053.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3871, 1534 in increasing order.\nAnswer: 0.2, 0.3871, 1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19*b**2 + 47*b + 548. List the prime factors of c(57).\nAnswer: 2, 32479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705560 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 14977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1088 - 1084. What is the smallest value in 8, -10, 0.4, i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 3*f**2 + f - 1. Suppose 4*c = 7*c + 6. Give o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 3. Let k(y) = -y - 5. Let s(u) = 3*k(u) + 5*t(u). Let o(b) = 220*b**2 - 117*b**2 + 0 + 0 - 109*b**2. Calculate s(o(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*q + 31, 5*q + 15*a = 14*a - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = m - 365, 106*m - 1471 = 102*m + v. Suppose d - 6 = 10. What is the highest common factor of m and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 138 + 124 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57875 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1. Let a(r) = -3 - r + 2*r + 0*r. Let q be a(2). Let o(t) = -t + 4. Let c(f) = q*o(f) + 6*g(f). What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -191, -185, -179, -173, -167?\n\"Answer: 6*l - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 7*m**2\/2 - 4*m + 7143. Let q(u) = -9*u**2 - 3*u. What is q(y(r))?\nAnswer: -441*r**2 + 483*r - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/42 + v**6\/6 + 3*v**5\/10 + 96*v. Solve n(c) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 3*l + 92 + 87 + 2*l**3 - 250 as q + c*l**3 + i*l + j*l**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20072 + -7992. Suppose 7*f - 64499 + 21830 = 4*g, 3*f - 18291 = g. Let o = t - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t - t)*(-2*t - t + t) + (3 - 6 + 0)*(3*t**2 - 2*t**2 - 3*t**2 + (-8*t - 6*t - 31*t)*(t - 6*t + 4*t)).\nAnswer: -125*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 5, b: 1}. Give prob of sequence cbvc.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1268.144168 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55504 is divided by 18501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 9*n - 33. Let i be r(-12). Solve -2*d = b - 13, -i*b - 5*d = 2*b - 40 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2280228 by -57.\nAnswer: 40004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*y + y + 43 = y + 2*v, -8*y - 120*v = -293 - 227 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 33*b**2 - 63*b + 31 = 0. What is b?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (364\/65 - (-4)\/10)*-84. Find the common denominator of 20\/70 + 2396\/c + 4 and -44.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**(4\/7))**(4\/15) assuming v is positive.\nAnswer: v**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167\/665980 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2751*c + 2*t = -2752*c - 2, -2*c = -4*t + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 35. Let a be f(11). Solve 0*q - 3*q = -a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9519?\nAnswer: 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-20) - -6)*((-56)\/18 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*i**3\/4 + 1191*i**2 + 5451*i\/4 + 321\/2 = 0. What is i?\nAnswer: -1, -2\/15, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585689099.425 + 0.06.\nAnswer: -585689099.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t - 20. Let u be z(3). What is the first derivative of -4 - 3 + u + 13 - 31*l wrt l?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4497 + -4500. Let k(w) = 8*w**3 - 2*w**2. Let n(g) = 15*g**3 - 3*g**2. What is x*n(h) + 5*k(h)?\nAnswer: -5*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 18*k + k. Suppose -3*s + 3*o + 40 = -o, k = -o. Solve -2*j + 6 = 0, s*d + 18 = 3*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -360520, -360521, -360522, -360523, -360524?\n\"Answer: -t - 360519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 8. Suppose -2*j = -5*t - j + 13, -2*j + 2 = b*t. What is the derivative of 94*h - 94*h + 3 + 3*h**t wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9310, -37039, -83260, -147967, -231154, -332815, -452944, -591535?\nAnswer: -748582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5661 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: What comes next: 32220645, 64441314, 96661983?\nAnswer: 128882652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1140 (base 9) to base 4\nAnswer: 31032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*q + 150, q + 2 = s - 26. Let f be 22\/s + (-23)\/3. Which is bigger: -9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-11\/2)*a*a)*a)\/a)**(-42) assuming a is positive.\nAnswer: a**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*62\/(-210) - 69\/115?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -736630 rounded to the nearest one thousand?\nAnswer: -737000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1556145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000622929184 rounded to seven dps?\nAnswer: 0.0000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -0.1 (c) -12\/631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 + -5)*(-4)\/10. Suppose b*n = 3*n + 20, -w = 4*n - 18. Solve -2 = w*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129653*h**3 + 6*h**2 + 67*h - 5.\nAnswer: -777918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10617*k + 42548. Calculate y(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.95 + 23. Let l = -0.05 + t. Let o = -153 + 159. Are o and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/12)*y**(-4))**(-34) assuming y is positive.\nAnswer: y**(595\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)*1 + -1. What are the prime factors of 412\/28 - n\/7?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963684947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270 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: -10103032 (base 4) to base 7\nAnswer: -102232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 29*p. Let y(j) = 410*j. Let t(z) = -85*h(z) + 6*y(z). Let x(w) = 26*w**2. What is t(x(a))?\nAnswer: -130*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**2 - 5*r**2 - 4*r**2 + r**2 in the form g*r**2 + n*r + h and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:32 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + o**3\/6 - 3*o**2 - 11. Let u(j) = -2*j + 6. Let n(h) = 3*g(h) + u(h). What is n(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x + 24. Determine i(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/4565 and 1\/291247?\nAnswer: 1456235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*w + 12 + 28, 25 = 5*w. Calculate the greatest common divisor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 = -4*h - 29. Suppose 0 = -h*b + 157*b - 541. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -354452\/139 - -2550. Let z = -3.689 - 0.311. Which is the second smallest value? (a) -5 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 - 4*k - 1. Let u = -197 + 194. Let p(v) = 3*v - 3. Let c(z) = -z**2 + 6*z - 7. Let r(h) = 4*c(h) - 9*p(h). What is u*d(y) + 4*r(y)?\nAnswer: -y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314144 by 8.\nAnswer: 39268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 1819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000228 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - y = -2112, n - 5*n = -3*y - 4204. What is the remainder when n is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - -1 - (2 - 0). Let i = 33 + q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 - -403429?\nAnswer: 40348a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 4. Let w be i(5). Let h(p) = 2*p - 3. Let f(j) = -41. Let x(v) = -185. Let b(y) = -9*f(y) + 2*x(y). Calculate w*h(r) + 2*b(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - -3 - 5) - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26816387 to the power of 1\/2, to the nearest integer?\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -29241, -1\/4, 1 in ascending order.\nAnswer: -29241, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:22 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1188760 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.304448624 to 4 decimal places.\nAnswer: -0.3044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -6*z + 361740. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let v(t) be the first derivative of -268*t**3\/3 + 74. Calculate i(v(h)).\nAnswer: 268*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 - -230. Let t(s) = -s**2 - 3*s + 98. Let u be t(k). Let g(p) = 3*p - 5. Give g(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233293.\nAnswer: 233293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1131*t + 10. Let x be z(2). Is 63 a factor of (80\/45)\/(-8) + x\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzqttqzttzztzztzztt. What is prob of picking 2 z?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39760453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(2*m + 0*m - m) + 0*m - m + 2*m)*(-2 - 2 + 3)*(7 - 10 + 45).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 118182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -148*h**6\/15 - 109*h**5\/12 - 13*h**2 + 5. What is the third derivative of g(y) wrt y?\nAnswer: -7104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 33*v - 62. Let l be j(2). What is the smallest value in 0, 0.059, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -13b9?\nAnswer: -13bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 4*b**2 - 4*b**2)*(-b + 3 - 3) + 150*b - b**2 - 150*b - 22*b**3.\nAnswer: -31*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 2 s when four letters picked without replacement from {s: 2, v: 3, c: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1927\/2 = -963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 44418091134?\nAnswer: -44418091133.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Suppose -6 = -d*t + 4*o, 16 - 6 = 5*t + 4*o. Does 8 divide (-1)\/((-260)\/128 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plk when three letters picked without replacement from nnnpnnrnrnklnrrrkrr?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + x + 2992 = -24280, x = -2*w + 18168. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -168*g + 11373. Calculate i(62).\nAnswer: 957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 + 1007\/4. Which is bigger: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/(m**(4\/7)\/m))\/m))\/m**(-40))**(-28) assuming m is positive.\nAnswer: m**(-1164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 182, 0.19, -4, 1\/4, 1, 2 in ascending order.\nAnswer: -4, 0.19, 1\/4, 1, 2, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526580 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85\/1144 + -7\/88. Let o = -4 + 4.01. Let j = o + -3.01. Put t, 11, j in ascending order.\nAnswer: j, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4172 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, z: 6, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13556150 and 1897861?\nAnswer: 94893050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**3 - 7*k**2 - 3*k**2 - 31*k**3 + 18*k**3 + 5*k**2.\nAnswer: 15*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6739 divided by 6.\nAnswer: 6739\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -12. Suppose f = q + 6. Suppose -5*h + 20 = -0*h. Calculate the smallest common multiple of q and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1390 - 2772 + 1382 - 186*s - 224*s as t*s + d and give t.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 - (35 - (127 - 49)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6201938086 less than 23.2?\nAnswer: 6201938109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 8*f - 11. Calculate d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 396 - 395. Let v = 9 + -14. Sort -0.2, v, s in decreasing order.\nAnswer: s, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = -10. Solve -5*s = 5*u - 10, -7*s - 2 = -2*s + c*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 0.025\nAnswer: 37.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1864342 (base 13) to base 4.\nAnswer: -132123232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4521914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130517575*s**2 + 261035159*s**2 - 130517583*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -19. Let g = 19 - i. Solve -3*y + 3*m - 6 = g, -3*y + 2*m - m = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + 11. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113221?\nAnswer: 1113221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16276614?\nAnswer: 2, 3, 2712769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -354*i - 38 + 24 + 19 + 21. Let w be s(8). Let b = 350748\/125 + w. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332919125.\nAnswer: 5, 7, 11, 34589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**3\/6 - j**2\/2 + 7*j. What is the units digit of c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462647?\nAnswer: 293, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3941)\/(-1126)*(-48)\/70 + 492\/130?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 652110.\nAnswer: -652110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101202210122 - 12?\nAnswer: 101202210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*k + 7, 0 = -j + 3*j + k - 23. Let d = -21 + 34. Let u = d - j. Solve 5*t + 6 = -u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3717?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105234 + -154515. Round u to the nearest 100.\nAnswer: -49300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(12\/27).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 26*i**2 + 16*i - 15. Give o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.7578806 to 1 decimal place.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16044 + -2?\nAnswer: 16042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + (-12 - (-23 - 48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 - (-2059 + -10 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Suppose r = v*r. Solve -2\/7*w**2 + 2\/7*w**5 + r*w - 2\/7*w**3 + 0 + 2\/7*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 16*y**2 + 14*y - 12. Give v(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(18) + sqrt(144)\/sqrt(8))*3)**2 - (4 + sqrt(80)\/sqrt(10) + (sqrt(2) - (-5 + sqrt(2)*1 + sqrt(2))))**2.\nAnswer: 90*sqrt(2) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 + -163. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17320\/9*y**2 - 676 - 5980\/3*y - 4\/9*y**5 - 1720\/3*y**3 + 100\/3*y**4 = 0. What is y?\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 3*c - 3*u + 16, 3*u = -5*c + 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -17 - (-1 - -2)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 98\/3?\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 207126.77 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -82, -174, -292, -430?\n\"Answer: w**3 - 22*w**2 - w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(2 - (-10)\/5). Let l be (-8)\/68 - u\/((-102)\/(-261)). Solve 4*a = l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7 - 10*h - 13 + 10 + 8. Give g(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*j + j = -13, -5*t - 2*j - 11 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39372?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 8 - (-6 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 777 + 363 = 3*u, 4*j = 2*u + 52 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 4 - (-113 + 139).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5951 and 644772997?\nAnswer: 5951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9657 divided by 9657.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 11 + (-3 - -11) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40460837*z + 16065143.\nAnswer: 40460837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(3\/203995) - 1. Let j be 0 + -1 - (-2 - 4). Suppose 2*d + j*w - 7*w + 136006 = 0, -2*w - g = 3*d. What is d rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -157*v**3 + 626*v + 108. Find the first derivative of g(k) wrt k.\nAnswer: -942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfc when three letters picked without replacement from xcfqlqx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 375735861265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4\/3, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 2 = -12*q, 0 = 5*w + 3*q - 108. Let d(o) = o**3 - 20*o**2 - 18*o + 49. Calculate d(w).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-609)\/(-6))\/7)\/(29\/754*-13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 + 3 = 0, -5*b = 5*x - 10. Solve 0 = 4*m - n + 10, -n = m - b*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.02 times -115?\nAnswer: 347.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nmmnmnnnnnnnmmmmmm?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*q + 3418 = -2317 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from essileissses. What is prob of sequence ssi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*v + 3 = 8*c, -5*c + 5*v - 35 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 20, -5*n - 5*j + 205 = -0*j. Let c = -146 + n. Find the common denominator of -34\/15 and 77\/c - (1 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3432\/16 + 6\/(-4). Suppose h = d - 65. List the prime factors of d.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 7*l + 7. Let j(s) = -s**2 + 2*s - 2. Let m = 109 - 116. Give m*j(h) - 2*g(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50267250 divided by -22?\nAnswer: -2284875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11019559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, j: 6}. Give prob of picking 3 q.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 2. Let q be ((-8)\/(-12)*3)\/x. Solve g - q*z - 9 + 2 = 0, -z = g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in 0.5, -2, 3\/5, -1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:31 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Let j be 2\/2 + -74 + 9. Let v be (-4)\/2 - j\/28*1. Which is the nearest to -2\/7? (a) v (b) -11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/3) - -3. Suppose -c*m = -5*v - 37, -4*m = -4*v - 9 - 23. Let n(q) = -q**2 - 6*q + 4. Is n(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3563, 3406, 2971, 2120, 715, -1382, -4309, -8204?\n\"Answer: -23*l**3 - l**2 + 7*l + 3580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. What is the third derivative of -3*y**x - 3*y**2 + 2*y**6 + 7*y**2 wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z**2. Let t(y) = 0*y + 4*y - 4*y + y. Calculate t(c(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*c - 56, 5*v + 199 = -2*c + 21. Let a = v + 39. Let q(z) = z + 1. Let f be q(-5). Sort -5, 7, f, a in increasing order.\nAnswer: -5, f, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgf when three letters picked without replacement from {i: 4, c: 1, f: 1, t: 1, g: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 1.9, 43?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) 0 (d) 27 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -5 - 1)*-2. Let h be 4\/5*(-20)\/w. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43382 and 705230?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - j - 14, -3*r + 5*j = -35 - 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 500 + 941 - 311 + 596 + 1424 - 1514*i wrt i?\nAnswer: -1514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -41, -1, -2311, -2 in ascending order.\nAnswer: -2311, -41, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3138444nm in millimeters?\nAnswer: 0.0000003138444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2768 - -2768.2. Suppose -3 = 2*s - 5. What is the nearest to x in 0, -0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -394 (b) -0.03 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 + 3*r + 13. Let s be h(5). Let g = 3 - 2. Which is the third smallest value? (a) 2 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 131876?\nAnswer: 15165740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-230))\/(((-3)\/(-10))\/1)*204\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 129, 121, 115, 111, 109?\n\"Answer: y**2 - 11*y + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 297*b - 103. Is h(92) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 - -102. What are the prime factors of o?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111499786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(12\/15)*16\/(-20). Suppose i + 9 = 3*r, -4*r - 4*i + 35 = 7. Suppose -r*z + 25 = z. Put z, -1, u in decreasing order.\nAnswer: z, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 6*i - 7. Suppose -3*h - p + 59 = 184, -3*p + 158 = -4*h. Let u = h - -36. What is m(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - 19. Let n = -23 - i. Suppose -201 + n = -3*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (7 - 4)) + 14. Suppose -4927 - 4446 = -o*b. Suppose -7*t - b = -14*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-126)*(-30)\/(-5)*35\/112*-4.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 40 = -2*f. Suppose -2*c = 3*i - f, -5*c - i + 10 + 14 = 0. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = q - 9, -2*q + 11*g = -204 + 185 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8.6.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/67 (b) 3 (c) 1\/9 (d) -11 (e) 1.2 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29577 times 4.42\nAnswer: 130730.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.254.\nAnswer: -0.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11926, 11870, 11814, 11758?\nAnswer: 11702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*(-86 + 3437*z - 44 - 3442*z).\nAnswer: 25*z + 650","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 344906 not equal to 345079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1534343927 to the nearest integer?\nAnswer: 39171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1531496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 150*p**2 - 10*p + 1508. What is l(150)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*t**2 + 867*t**2 + 294*t**2.\nAnswer: 1842*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + (-6 - (12 - (5 + -2))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82.85 - -83. Let a = -3.02 - -0.17. Let k = z - a. Put k, 1, -2\/3 in descending order.\nAnswer: k, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1451 and -0.1.\nAnswer: 145.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.03548*6\nAnswer: -0.21288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184 a factor of 214275192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -1. Let u = -6322 + 6418. What is the highest common factor of h and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.066774 decades to years.\nAnswer: 50.66774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 10*t**2 + 2*t + 39. Let a(s) = -6 + 0 + 0 + 7. Let k(f) = 4*a(f) + l(f). Find the second derivative of k(w) wrt w.\nAnswer: -12*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 - 9*i + 12. Let k be h(6). Let w(b) = -b**3 - 7*b**2 - 5*b + 8. Let v be w(k). What are the prime factors of 292\/v - 3 - -2?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121764*v**5 - 6*v**4 + v**2 + 6662*v?\nAnswer: 7305840*v**2 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 2. Let u be w(3). Let m(x) be the second derivative of x**3\/3 - x**2\/2 - 4*x. List the prime factors of m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 276\/(-56))\/(1\/(-12)). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 17*u + 374 = 0. Let b = u - -43. Which is greater: -1\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-36) - -461*1\/4. Suppose 0 = -16*c - 3 + n. Solve 0 = -2*v - x - 5, 0 = -0*v - 2*v + x - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2465 (b) -12\/7 (c) -10 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -34 + 207 + -195 + 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -19, 6.2, 2\/5, -0.2, -0.4, -2, 280?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2312918804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 1280 = 610. Suppose 174 = -3*l + t. Which is the closest to 12? (a) 1\/4 (b) -1\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -898557 divided by -373?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/247350 and -99\/68.\nAnswer: 494700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4314*t**3*x**5 - 9485*t**3*x**2 - 2*t**3 - 2*x**6 wrt x.\nAnswer: 258840*t**3*x**2 - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 1. Let t(h) = -6*h**3 - 5*h**2 + 21*h + 639. Let j(d) = 5*p(d) + t(d). Differentiate j(o) with respect to o.\nAnswer: -18*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:37 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 162 - 19a?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 154 = 6*m. Calculate the remainder when 36 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 88. Let h(n) = -17*n - 163. Give -5*f(j) + 3*h(j).\nAnswer: -11*j - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -k - 1, 0*y - 3*k - 3 = -y. Which is the closest to y? (a) 0.5 (b) -4\/9 (c) 1\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**6\/27 + 4*v**5\/45 - 16*v**4\/9 - 64*v**3\/9 - 604. Factor a(o).\nAnswer: 2*o**2*(o - 6)*(o + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 814468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8042553 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z + 0 - 49 + 44 + z**2. Determine d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 25*u**2 - 27*u + 63. Let g be d(26). Solve -42 = -5*j - g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-10) + 351\/2. Suppose 5*w = -i + 415 + j, 5*w - 1739 = -3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 1. Let t(k) = 151*k + 39. Let q(g) = 4*r(g) - t(g). Let b(j) = -13*j - 3. Let u(f) = -35*b(f) + 3*q(f). Is u(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1\/8)*g))\/(g*g**1*g))**(-38)*(g\/g**(-2\/11))\/(g*g\/g**(3\/2))*(g*g**(-3))\/(g*g**(-6)\/g*g) assuming g is positive.\nAnswer: g**(4969\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 359 + -359. Suppose v = 24*r + 15*r - 5928. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 52 - 6 = -3*s, -4*s + 5*u + 82 = 0. Suppose -2*q - 3*y = -21, -53*q = -50*q + 5*y - 33. What is the highest common factor of q and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (0 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34047 and 323592.\nAnswer: 37860264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19730)\/4100 - 2616\/(-545)?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-1)\/3 + 8\/6. Solve r*p = p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7036220 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 4\/67, 0.07, 38, 0.06?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-76)\/(-6) - (-6)\/(-9). Let c(k) = -k**2 + 12*k + 3. Let f be c(w). Solve -2*l + 4 = -f*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 2*x + 2*x)*(4 - 4 + 4) + (3 + 0 - 4)*(2*x + x - x) to k + w*x and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 1b6?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6315 divided by 3.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8.3. Let i = -0.023 + -0.017. Let n = 21 + -18. Which is the smallest value? (a) s (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*o**2 + 578*o**2 + 545*o**2 to w + v*o**2 + m*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 9*x + 4. Solve h + l = 1, x*h - 2*l + 7 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1413321.65167 - -0.0707\nAnswer: -1413321.58097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwff when four letters picked without replacement from wfrfffffrfrfrf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2000160335028.8?\nAnswer: -2000160335025.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12698 is divided by 577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -5, 5, -32, 10.\nAnswer: -32, -5, 2, 5, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (117\/351)\/(14\/(-6) - -1). Are -3\/74 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 8*d - 1. Let a = -1466 - -1472. Give n(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/305 or -11997168?\nAnswer: -11997168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + (-11 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31254121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 3*k**2 - 2*k + 1. Let t be r(1). Suppose 2*a - 2*u - 9 = t, 25 = -2*a - 5*u. Factor -4\/3*g + a - 2\/3*g**2.\nAnswer: -2*g*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 8*y - 15, 5*p - 32 = 4*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-4 + -2 - -9) + (8 - 2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32780.\nAnswer: 2, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*g**2*m**3 + g**2*m**2 + 12*g**2 + 7*g*m + 5*m**3 - 1 wrt m?\nAnswer: 516*g**2*m + 2*g**2 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-7 - -2))\/(-19). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 2, o: 3}. What is prob of sequence pop?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814586 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 4 - 4 + (a**2 - 2*a**2 - a**2)*(-3 - 2 + 3) - a**2 - a**2 + a**2 + 3*a**2 + 7*a**2 - 2*a**2 + (2 - 2 - 2*a)*(-a + 2*a - 2*a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 2)*1\/2. Suppose 5*s = -x*g + 3*s + 695, g + 5*s - 223 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59471724 and 1060.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 7)*(-1 + y + 1) + (1 + 0 - 2)*(-15 - 18 + 24)*(8*y - y + 0*y) to c*y + m and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 6*f**2 + 71 + f**2 + f**2 - f**3 - 65. What is the units digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Let s = t + 0.999954. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 + 4. Let s be j(4). Let l be (-3)\/(-6) - 10\/s. Is 6 a factor of (-36)\/((-6)\/2) - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 118\/6 + 130\/(-78). Let r(z) = -7*z**2 + 35*z - 45. Let a(x) = -15*x**2 + 71*x - 91. Let l(g) = -6*a(g) + 13*r(g). What is the hundreds digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1492.8727 - 1028.849. Let j = f - 464. What is j rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2 - h + 2*h)*(10*h + 14*h - 36*h).\nAnswer: 24*h**2 - 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -26261*j - 394075. Give g(-15).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 3:54 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9548828 grams in tonnes?\nAnswer: 0.0000009548828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*o = -4173*o + 86469 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 44 - 14. Calculate the remainder when 1\/(-2*o\/(-290)) is divided by 10 + (12\/(-2) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78, 307, 684, 1203, 1858?\n\"Answer: -k**3 + 80*k**2 - 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(((-4)\/38)\/2). Suppose -4*x - m = -197. Suppose 0*k + x = k. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179933 + 4?\nAnswer: 179937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = -4*i + 21, 0 = 3*h + i - 30. What is the greatest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 59 and -2.078 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 463\/854, 1\/3, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8424 - -13387. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 71.8, -0.02, 2\/11.\nAnswer: -0.02, 2\/11, 4, 71.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02366 and 0.1.\nAnswer: -0.002366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 55*d**4 + 54*d**4 + 4*d**2 - d**3.\nAnswer: -d**2*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 + 29 - 6491*j**2 + 6488*j**2 + (-j + 3*j - 4*j)*(4*j - j - 5*j) to z*j**2 + u + s*j and give u.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150092 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 517.6 - 518. Let w = 2.7 - 7.7. Sort -0.04, w, a, -1 in decreasing order.\nAnswer: -0.04, a, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 123 - (-8 + 28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/21)\/2)\/((-9)\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 662 and 1746.\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.46014 kilometers in centimeters?\nAnswer: 1446014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315745 or 315138?\nAnswer: 315138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103382379 and 1719.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -266, -382, -490, -590, -682, -766?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11547069\/110915 - -124\/47535. Let n = 521\/5 + i. Let j = -1.2 - -1.3. Which is the biggest value? (a) -2 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312 + -299. Suppose 2239 = f*g - 244. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -0.1, 2\/2999?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 133808921 and -0.23464?\nAnswer: 133808921.23464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.942055g?\nAnswer: 0.000008942055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((7\/4)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2866416 and 51\/52?\nAnswer: 37263408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -211 - 30749?\nAnswer: -30960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -19.42 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 1. Let z(o) = 4*o**2 - 21*o - 6. Determine -5*n(m) - z(m).\nAnswer: m**2 + 16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3393, -3853, -4313, -4773, -5233, -5693?\nAnswer: -6153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108851\/(-38)*-39 + 5\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2. Let y(f) be the first derivative of 22*f**3 - f**2\/2 - 425. Determine y(q(o)).\nAnswer: 1056*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 50. Find the second derivative of -2*g**3 - 3*g + z*g**2 + 70 + 4*g - 27 - 2*g wrt g.\nAnswer: -12*g + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 48*m - 25. Let f be z(11). Let r be 2\/7 + 1326\/14. Calculate the highest common factor of r and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.57054ml to litres.\nAnswer: 0.09157054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1789 or -1.7209?\nAnswer: -1789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-84))\/(24\/(-108) + (-388)\/(-1584)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1446540 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -472*0.06\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 619 = -3*y, 5 - 2 = 3*v. Let s = 40 - y. Does 21 divide (-4)\/(-16) - s\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9042 and 16038.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 1, e: 2, h: 1, d: 2}. Give prob of sequence he.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192788 divided by 306?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120 + (-154 - -123) + -176\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 754 - 753. Suppose -3*a = -0*a + 6. Let t be -4 + ((-10)\/a - l). What is the nearest to t in 0.4, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411925 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -35*z. Let v(j) = 10*j. Calculate u(v(p)).\nAnswer: -350*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 605736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 86 = -236. Which is bigger: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481*v**3 - 5635*v**2 - 39630781*v.\nAnswer: -2886*v - 11270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 90*l**2 + 19*l - 50. What is the remainder when a(4) is divided by 148?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, v: 3, i: 7, n: 3}. What is prob of picking 1 i and 1 v?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 143064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.19 and 59?\nAnswer: 47.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r - 18 = n - 51*r, 2*n + 4*r + 6 = 0. Let m(q) = q**2 + 9*q + 6. Determine m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2260 + -280. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*k. Suppose 0 = k*v - 20 - 4. What is the highest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 - 760*d - 10500 = 0. What is d?\nAnswer: -175, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*66\/4*-1. Let s = a + -31. Is 3\/6*(s + 1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 128. Calculate j(4).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/27 + -7\/135. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -103123000?\nAnswer: 103123012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1115 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*y + 3, 19 = y + 2*f + 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4179\/4776 + 18\/(-20).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 5. Calculate the remainder when 4 is divided by f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.651284273 and -124.\nAnswer: -132.651284273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.06, 3\/5, -19\/18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.86 + 3.6. Let p = z + 1.26. Let d be 2*-1*2\/20. Which is the biggest value? (a) -3 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 2, h: 2}. What is prob of picking 1 e, 1 w, and 1 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143275, -143280, -143295, -143326, -143379, -143460, -143575, -143730?\nAnswer: -143931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13355 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6597142 is divided by 149935.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -349, -457, -183, 635, 2159, 4551, 7973, 12587?\n\"Answer: 27*i**3 + 29*i**2 - 384*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -3*z**2\/2 + 1. Let a = -3096 - -3098. Calculate w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 2*a. Let u(y) = -5*y**2. Give l(u(b)).\nAnswer: -25*b**4 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 1263*j**2 + 17130*j + 88536 = 0 for j.\nAnswer: -434, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36669 - -36433.27. What is z rounded to the nearest integer?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyssoohhssyss. What is prob of picking 2 o and 2 y?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20034859 is divided by 2862120.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/1*80\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26760, 53517, 80274?\nAnswer: 107031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*sqrt(3520))\/((sqrt(55)*2)\/sqrt(5)))**2.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-371*y + 92*y - 242*y)*(2*y**2 + y**2 - 4*y**2).\nAnswer: 521*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1997*m**2 - 20*m - 7. Let b be n(3). Round b to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 - 75\/(-18). Suppose -x + j*x = 9. Calculate the greatest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-40))\/u)**(13\/2) assuming u is positive.\nAnswer: u**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375210 by -204.\nAnswer: 62535\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1688 + 990. Let d = 895 + p. Does 95 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 45*n + 10. Let s(l) = l**2 - 10*l + 3. Let x be s(10). Let m be i(x). Suppose z + 5*a = 260, -2*z - 2*a + 625 = m. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6704 and 39887124.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*l = -26070, 0 = 6*f + 5*l - 52256 + 13157. Is 6518 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42670 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 1. Let v be a(1). Suppose -4*h - 2*p - 12 = 6, 5*h + 21 = -3*p. Let j be (-24)\/(-35) - h\/(-15). Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 3 (c) -4 (d) 1\/12 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.928 + -20.3. Let m = n - 0.128. Which is the second biggest value? (a) m (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/21)\/w)\/((w*w**(1\/6))\/w))**(3\/41)*(w**6\/(w*w**5\/w*w))**50 assuming w is positive.\nAnswer: w**(-11\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from mjjvvm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1801.75776 and 0.1252464?\nAnswer: 1801.8830064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/11 - 8*d\/11 + 6\/11 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3735592 is divided by 3424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 1. Let x(i) = -5*i**3 - 23*i**2 - 10*i - 21. Let v(b) = -6*c(b) - x(b). What is the hundreds digit of v(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let r(b) = -3 - 7 - 11*b - b**2 - 1. Let n(a) = 2*r(a) + 22*v(a). Let f(j) = -j. What is f(n(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-2)*w)\/w))**(-10))**(-3\/16) assuming w is positive.\nAnswer: w**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16611 = 5*s, -3315 = -s + 8*y - 10*y. Is s a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544126?\nAnswer: 2, 11, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48238 and 1355?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/(-3) + 1\/(-3). Let a = 26 + g. Suppose -20*u = -a*u - 852. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/41 - -122\/943. Does x = 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1916 + 1921. Let o(g) = 5*g - 10. Calculate o(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707919 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 60\/24*(-8)\/(-90)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Give b(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-48 - -106) + -52?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88*(9\/(-6) - -1). Let h = 83 + n. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30941.06 + -30941. Sort s, -2\/7, 2\/15, -244, 2\/5 in descending order.\nAnswer: 2\/5, 2\/15, s, -2\/7, -244","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 17*d - 26*d + 59 + 60.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 15717 + 31424 - 5*p - 15707.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2674, -1\/4, 16.8, 0.3.\nAnswer: -0.2674, -1\/4, 0.3, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010604 to four decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(324)\/sqrt(4)) + 0 - (sqrt(48)\/(2*sqrt(12)))\/(sqrt(288)*2).\nAnswer: 5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvwvs. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12199 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 -20987, -41997, -63019, -84053, -105099, -126157, -147227?\n\"Answer: -6*h**2 - 20992*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23785\/29124 - 9\/809. Let r = -485\/144 + j. Calculate the common denominator of 29\/16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93921\/94837 + -8044760800\/5270376601. Let i = b + -95\/467. Let x = 6\/7 + i. What is the common denominator of -113\/10 and x?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 34820*t - 60621620.\nAnswer: -5*(t + 3482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140*(-6)\/(-35)*21\/3. What is the greatest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.49924625 + -19.5. Round y to five dps.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420755 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - 6*sqrt(80)*5)\/sqrt(2))\/(1*((sqrt(288) - (sqrt(288)*-4 - sqrt(288))) + sqrt(288) - sqrt(288))))**2.\nAnswer: 4205\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 116\/1102 + 1174\/38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186 (base 13) to base 8.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-1026)\/(-8)))\/((2\/21)\/((-210)\/1960)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 146*h - 8568. Let o(y) = y**3 + 6*y**2 - 4*y - 6. Let l be o(-6). Calculate the greatest common factor of l and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332480 is divided by 341.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -35?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 62. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d - 21. Calculate c(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438176.7 litres in millilitres?\nAnswer: 438176700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/5 - -7\/15. Let y be 135\/(-315) - (-53)\/(-7). Let c be (0 - y\/(-12))*(-4)\/(-8). What is the second biggest value in -2, c, a, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -6 + 1\/10*h**4 - 2\/5*h + 26\/15*h**3 - 1\/5*h**2 - 24\/25*h**5. Solve d(k) = 0.\nAnswer: -1, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016418422 rounded to 4 decimal places?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + -6. Let c = -23 - l. What is the highest common factor of 56 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4962619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/25 (b) -0.08 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.016837 + 6.680063. Let k = y - 6.7. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f - 1. Give z(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/24 - 5\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761024713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 84 = -11*x. Let f(c) = -4 + x + c + 1. Give f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -2*f + 13380. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 5. Suppose -289 = j - 290. Let n(v) = v - 6. Let t be n(4). Which is the third biggest value? (a) -18 (b) m (c) j (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s, 0 = -2*z + s - 5*s - 8. Let i = -13 + 24. Solve -5*o = z*q - 12, -2 + i = 2*o + 3*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270852 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3289, 5473, 7657?\n\"Answer: 2184*i + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6934 + -6933.7. What is the closest to 9 in a, -1, -5, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d = -44*d - 60. What are the prime factors of (-456)\/10*20\/d*5?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k + 3. Let d be f(-3). Let b(z) = z**3 - 14*z**2 + 16*z - 8. Let x be b(11). Let s = x + 199. Sort s, -35, d in decreasing order.\nAnswer: s, d, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*o - 6703 - 33281 = -545*o for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171885*k**2*u**3 - 63*k**2 + 3*u**3 - 4074*u**2 - 316*u wrt k?\nAnswer: -343770*k*u**3 - 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -79623.\nAnswer: -557361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:18 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 272105 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/9*1\/4. Let l(a) = a + 5. Let p be l(-3). Suppose -q - 1 = -p*q. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 256*p**2 + 129*p**2 + 131*p**2.\nAnswer: 4*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 721665000 and 5688?\nAnswer: 721665000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 501 = 219. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -294*r**2 - 2*r. Let v(a) = -146*a**2 - a. Calculate 4*j(o) - 7*v(o).\nAnswer: -154*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-960)\/(-195) - (696\/260 + -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498595, 997167, 1495689, 1994137, 2492487, 2990715, 3488797, 3986709?\nAnswer: 4484427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 400 - 384 = v, 8 = -2*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 586 and 310.\nAnswer: 181660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -142?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + -10 - (-1)\/((-3)\/9). Let b be -2 - f*(-5 - 0). Is (-6951)\/14*((-13)\/b + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 14, n: 2}. Give prob of picking 2 k.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 88 + 3. Let j = n + 15. Let u(a) = -11*a - 7. List the prime factors of u(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + l**2 + 1. Let h(v) = -32*v**3 - 4*v**2 - 4. Calculate 3*h(c) + 12*i(c).\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.05888 * -1\nAnswer: 0.05888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 28, -4, -92\/11, -9, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 609538079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-4*a + 2*a + 0*a)*(159*a + 337*a + 1921*a) to w + y*a**2 + s*a and give y.\nAnswer: 4834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1067 and 0.15.\nAnswer: -0.016005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 552\/(-138)*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/7 and -50\/279?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.1 - 18. What is the nearest to y in -1\/9, -0.3, 10\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40655 and 287687?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44977588)\/(-56) + (-474)\/2212 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-68)\/(-22))*-25007. Let f = u + 2276. Find the common denominator of 77\/10 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 23*n - 25. Give y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 41. Suppose 0 = -j*s - 14 + 42. Sort 0.3, 3, s, 0.1 in ascending order.\nAnswer: 0.1, 0.3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 272. Let a = 62505 + -62220.81. Let w = a - l. Round w to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from lbllllbljlji.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 65*o**2 - 2896*o - 11563. Give k(-4).\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3608 (c) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67884358 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1126098 and 1876830.\nAnswer: 5630490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 4739130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose w = 4*b - 8. Suppose -b*h + g = -14, 11 = -2*h + 4*h - g. Solve -7 = 5*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -3 (c) 0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {u: 2, x: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 227012393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4480*v**5 - 2*v**4 - 2*v**2 - 72*v - 5 wrt v?\nAnswer: -268800*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -5 + sqrt(7)*-2)*1 + 1.\nAnswer: -39 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*l - 0*l. Let y = 293 + -273. Suppose -y*u + l = -18*u. Solve 5 = -u*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3 - 2) + 3. Suppose 0*k = 4*a + 2*k + 2, -1 = -2*a + k. Suppose f + a = 10*x. Solve -5*t = 5*s + 10, x = -2*s + 5*t - 3*t - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**3 - 2*d**2 - 2*d + 1. Suppose 0*w = 2*w + 4. What is the hundreds digit of g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 6, -4 in increasing order.\nAnswer: -28, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from mmkmnmnnmmmmmmmmm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 47.0025.\nAnswer: 14.10075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/12 + 25*j**3\/2 - 37*j**2 - 9*j. Solve t(w) = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704767473 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let l be 0\/(-2)*(-7)\/(-14). Let s(m) be the second derivative of -1\/3*m**3 + 7*m + l*m**2 + 0. Determine s(v(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ote when three letters picked without replacement from toerrtie.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1073, -1083, -1095, -1109, -1125, -1143?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4500 by -5.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4423*z - 482828 = 1925*z + 5*z for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 36*u - 41*u + 4*t, 4*t - 16 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + -38. Let x = 133 + b. Calculate the lowest common multiple of x and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 - 3*y. What is the remainder when o(-3) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**3 - 2*b - 11. Let o(p) = -12*p**3 - 5*p - 20. What is -2*o(m) + 5*x(m)?\nAnswer: -6*m**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59481361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.0303\nAnswer: -0.000909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 65*g = -64*g - 6, -5*g + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4032)\/(-216)*(-6)\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 94*h**4 - 112*h**5 + 512*h**5 + 94*h**4 + 30*h wrt h?\nAnswer: 8000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*z + z = -17, -2*z - 17 = -3*m. Let v(a) = a**3 - 2*a**2 - 2*a + 2. Let u be v(m). Let t = 5 + -6. Put u, -0.5, t in increasing order.\nAnswer: t, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*a - 27281 = -5560 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l - 3*l + 2*l + 4*l**2.\nAnswer: 4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/460 + 135\/(-230))*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 596 - 596. Solve s = -0*n - 4*n - v - 12, -n - 3 = 5*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -605.0901 - -602.55. What is r rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25939, 25941, 25945, 25951, 25959?\nAnswer: 25969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*u - 2*f, -u + 3*f = -9 - 2. What is the lowest common multiple of (-27)\/18*-2*2 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 34\/12*6. Let d(m) = 29*m**2 + 2*m + 35. Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/18)\/(4\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-270))\/((-2)\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236779 - 118665 - c - 118114.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.243 and -2932.\nAnswer: -2933.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14668\/7 + 2106. Let l = s - 356\/35. Factor -l*f**4 + 0*f**3 + 0*f - 2\/5 + 4\/5*f**2.\nAnswer: -2*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -214. Let z = d + 143.4. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112669, -450664, -1013989, -1802644, -2816629, -4055944, -5520589?\n\"Answer: -112665*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from fzfzffzfffz.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 56, 0 in ascending order.\nAnswer: -1, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p**2 - 42*p**2 - 49*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.287248626 to three decimal places.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 6*k - 3. Let q be u(-6). Let p be 1 - -106 - (-11 - -11). Let i = q + p. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155, -240, -327, -416, -507, -600?\n\"Answer: -m**2 - 82*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1, -5, 17, -2\/53, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:49 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*g - 75 + 222 = 0, 0 = 5*p - 3*g - 234. Let x = 12 + -9. Suppose x*c + 15 - p = 0. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -4\/3*i**3 + 130*i**2 + 5\/36*i**4 + 0*i + 1\/180*i**5 + 0. Solve j(d) = 0 for d.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -0.2, -2084 in increasing order.\nAnswer: -2084, -2, -0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 10*j**2 + 13*j - 6. Let r be p(11). What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a, -3*x + 2*a + 42 = 0. Suppose 4*u + 5*k - x = 3*k, 0 = -2*u + 2*k + 4. Let v be u\/5 - (-32)\/80. Which is greater: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60728 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 3. Suppose 12 = -4*k - 16. Let c(a) = a + 4. Let n be c(k). Give h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 2*u**3 + u**3 + (-u + 2*u + 0*u)*(-3*u**2 - u**2 + u**2) - u + 2*u**3 + u to the form c + t*u**3 + i*u + h*u**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 60)*-907)\/((-3)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*j**2 - 584405*j - 97400.\nAnswer: -5*(j + 19480)*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 1638 = -33*q. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1029 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 322, 495, 674, 865, 1074?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 - 7*h + 1. Let s be b(6). Let x = 10 + s. Calculate the common denominator of -61\/22 and 3679\/(-910) - 3\/x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747 (base 8) to base 9.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -282*o**3 + 10*o**2 - 13*o + 3. Let h(p) = 188*p**3 - 7*p**2 + 9*p - 2. Let f(y) = 7*h(y) + 5*r(y). Let n be f(1). Is 1*-4*n\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 6, d: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 95*b + 17. Let l(n) = 19*n + 3. Give -2*f(w) + 11*l(w).\nAnswer: 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 21886 + 21912 + 2*q**3 + 6*q.\nAnswer: 2*q**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p = 66 + 330. Let j = -1 + 6. What is the second derivative of -2*i**5 + 3*i + p*i**j + 5*i + 2*i**5 wrt i?\nAnswer: 180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.083868 millennia to years.\nAnswer: 9083.868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + o**3 + 2*o + 1622 - 7*o - 1647 - 6*o. Calculate the least common multiple of g(-5) and 72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, t: 1, m: 2, j: 2}. What is prob of sequence mc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*356\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l - 22. Let b be s(12). Let d(i) = 122 - b + i. Let k(y) = 3*y - 2. What is k(d(t))?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 258120, 1032451, 2323000, 4129773, 6452776, 9292015?\n\"Answer: l**3 + 258103*l**2 + 15*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 1:40 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23723746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let a(f) = -1698703534*f. Calculate k(a(c)).\nAnswer: -2885593696424089156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 322604*i. Let m(l) = -5*l**2. Calculate k(m(o)).\nAnswer: -1613020*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, -4, 2\/123, -43, -1\/2 in ascending order.\nAnswer: -271, -43, -4, -1\/2, 2\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-22)\/((-2508)\/95))\/(-10*(-6)\/(-36)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*q**4 + 4*n*q**3 + 772916*n*q**2 - 13*q**4 - 3*q**3 wrt q?\nAnswer: 24*n*q + 24*n - 312*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1422, 2745, 4006, 5205, 6342?\n\"Answer: -31*h**2 + 1416*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*16740\/4464*4\/(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -37. Suppose z = -4*w - 14 - k, -18 = 4*w - z. Which is greater: w or -11\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89251 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60544 and 6622?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x**(-1\/6)*x)**(-9\/2) assuming x is positive.\nAnswer: x**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 28*r**2 + 1500*r - 1500. Determine d(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/318*((-12)\/3)\/(-8)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 191*d - 190*d = 23, l = 3*d + 1 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.470970897 to 3 decimal places.\nAnswer: 0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 493630961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (4\/12 + (-4)\/(-6)). Let v = 130 + -123. Solve -a*h + v*h = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-8))\/((-2)\/8))\/(954\/636).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 517*x**4 + 382*x**2?\nAnswer: 12408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -369*x + 43579. What is j(118)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 269658 or 269654?\nAnswer: 269654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 + 3)*(-3*h**2 + 5*h**2 - 3*h**2).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 28*t\/3 + 10.\nAnswer: -2*(t - 1)*(t + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 37. Let q = -1 - -4. Solve -m + o = -q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39827493 to the power of 1\/2, to the nearest integer?\nAnswer: 6311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 - -4685\/21. Which is the closest to -1\/5? (a) 2\/15 (b) -2 (c) 2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 7*l - 3*l + (-18*l + 35*l + 8*l)*(0 + 6 + 1))*(-3*l + 5*l - l).\nAnswer: 176*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, 4, -4, 3 in decreasing order.\nAnswer: 4, 3, -4, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1320a - -6?\nAnswer: 13214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 36. Let f be 42 - (1 + -5 + t). Calculate the greatest common factor of f and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357003.4 - 357004.4000015. Let i = p + 1. What is i rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141549 is divided by 3709.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**5 + 2124*c**4 + 21366*c**3 + 30456*c**2 = 0. Calculate c.\nAnswer: -141, -9, -12\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19755 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 + 0 - 2*p - 14.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/778140 and 11\/154580.\nAnswer: 45910260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 221724?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 4, 2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631695?\nAnswer: 5, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w - 5 = -60, x - 22 = -4*w. Let c be (-134)\/(-3) - x\/27. Let o be (((-32)\/c)\/(-4))\/((-10)\/3). Do 0 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18*d**2 + d. Let a be s(-1). Let u = a + 10. Let q = u + 14. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172065*d**2 + 4*d + 10026 wrt d?\nAnswer: -344130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431575 (base 8) to base 13.\nAnswer: 112c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37935)\/386937*4\/30*6.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 19. Solve 0 = -v*i - 0*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 57, 100, 153?\n\"Answer: 5*b**2 + 18*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 43. Let x be w(-13). Let a = 22 + -43. Let p = x - a. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(-7)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let g(b) = 4*b + 1. Let u = 9 + -8. Let y(f) = u*g(f) - 5*h(f). Let o(x) be the first derivative of 2*x + 1. Determine -o(n) + y(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93717 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.402855 grams?\nAnswer: 9402855000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*b - 179*b + 176 = 0. Let p = b + 756. List the prime factors of p.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 103*a - 106*a + 16 - 6 + 5. Determine p(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -2406, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 64531 + 9616. Let k = t - 5883. Round k to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - -35. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhmvhhvv. Give prob of picking 1 m and 2 h.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 20. Suppose 2*k = d*l - 62, -5*l + k + 4*k + 80 = 0. Let a(n) = n + 32. Let j be a(-29). Solve m + 6*g - 5 = g, -4*g = -j*m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -9. Let a = 24 + u. Solve 0 = 2*v - a*r - 2, 4*r = -5*v - 21 - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(110) + 2*sqrt(110)) - sqrt(110)) + sqrt(110))\/(sqrt(10) - -1*sqrt(20)\/sqrt(2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -2\/30167 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -460 + 0?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -203 - 228?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5 + 113*i**4 - 6941*i**3 + 62895*i**2 + 576576*i + 967356 = 0.\nAnswer: -159, -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 7*x**2 - 2*x + 8. Let b be t(-6). Let j(y) = y**2 + 9*y - 20. Let f be j(4). Let l = f + b. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419 + 522 + (-65 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -4, 11, 44, 101, 188?\n\"Answer: g**3 - 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43868\/5098191 + 2\/7071. Calculate the common denominator of o and -51\/412.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 14*p - 88. Let q be a(-23). Let d = -396 + q. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 237?\nAnswer: 13509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, j: 8, d: 2, r: 2, y: 2}. What is prob of sequence jd?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2917*z**3 - 1750*z**2 wrt z?\nAnswer: 17502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3\/(-9)*-1057 - 4\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 27. Let w = 0.16698 - 0.30698. Which is the biggest value? (a) w (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 - 5*i**2 + 5. Let y(h) = 6*h**3 + 8*h**2 - 8. Suppose -2*f - 10 = -0. Determine f*y(n) - 8*o(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5*670\/(-4). What are the prime factors of (-2)\/11 - f\/(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3.6 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 984560737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - (-4*sqrt(135)*2 - sqrt(135) - sqrt(135) - sqrt(135)))\/(sqrt(720)*-1 - sqrt(720)))\/(1*sqrt(36) + sqrt(360)\/sqrt(10)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 17 = -x, -p = 2*x - 25. Solve 3 = 5*t - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)**(5\/7))**(-16\/5) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 2\/9 (c) -3 (d) -469 (e) -1 (f) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1950\/11 and 178 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3828, -3810, -3784, -3750, -3708?\n\"Answer: 4*v**2 + 6*v - 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -227*k + 14391. What is f(64)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-81)\/(-210) - -17*7\/(-1190). Let o(a) be the second derivative of 0 - 9*a + 0*a**4 - 1\/70*a**5 + 1\/7*a**3 - w*a**2. Solve o(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**3 + 3*p - 3*p)*(3 + 3 - 3)*(0 + 0 + 1) + 2*p**3 + 0*p**3 + p**3 to j*p**2 + l*p + w + o*p**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h + 1. Let y(v) = -7*v**2 + 7*v - 9. Let g(t) = -6*b(t) - y(t). Let x be g(0). Suppose -x*o = -0*o - 42. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6129.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/11*3\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*y = 107, y - 24 + 85 = 3*j. Suppose 2*u + 8 = 0, -122 = -n - 5*u + j. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:56 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:03 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t**5\/7 - 27632*t**4\/7 - 2957324*t**3\/7 + 52369400*t**2\/7 - 3342064*t - 971040 = 0.\nAnswer: -238, -1\/5, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12315 + -122?\nAnswer: -12440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:00 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 5, a: 2, w: 1, y: 4}. Give prob of sequence wy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 15) in base 11?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 24.05?\nAnswer: 96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - 3*t**2)*(0*t + 2*t - t)*(-5*t + 2*t - 6*t) + 2*t**4 - t + t.\nAnswer: 29*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 + -250. Solve p - r*p = 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:09 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -646 + 911. Let j = y + -270. What is the closest to -0.3 in j, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.7 - 7. Let y = 7 + -2. What is the closest to 1\/3 in y, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -90. What is the remainder when (3\/(-6))\/(3\/(-12)) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 585758419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:45 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = o - 8, 12 = 5*m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 852 + -838. Let i be ((-26)\/(-8))\/(-1*(-5)\/20). Do i and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11994 + 11989.9964. Let w = -0.0036 - h. Which is the nearest to 1\/3? (a) -5 (b) -3 (c) w (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + s - 2. Let r(z) = -12*z**2 + 2*z - 2. Let w(g) = 2*r(g) - 5*t(g). Calculate w(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmjpvmpmvpe. What is prob of sequence pp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**3*m - 1026729*a**3 - 129792*a**2*m**2 wrt m?\nAnswer: 4*a**3 - 259584*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmn when three letters picked without replacement from tjfmmfna.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)*f)\/((f\/f**(4\/5))\/f*f))\/((f**0*f)\/f*f)**(-2\/37) assuming f is positive.\nAnswer: f**(447\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*j - 91*j - 61*j to the form w + l*j and give l.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m + 22 = r, 0 = -2*m - 4*r + 8. Is (-12)\/16 - (-4702)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 4*q**3 - q**4 - q**4 + (-16*q + 52*q + 49*q)*(-10*q**3 + 16*q**3 - 7*q**3) to the form l*q**4 + a + p*q**2 + d*q + o*q**3 and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:55 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -p + 962 + 1197, -p = 5*q + 2161. Suppose -4*y + 9*y = 0, -1200 = 4*f - y. Let z = f - q. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12064220 divided by -9590\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 13*x**3 + 8*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-78) + 776\/26. Let a = 34 - n. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 = -75*b + 149 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(-3 + sqrt(204)\/((sqrt(12) + sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12))*1) + -4 + (-1 + sqrt(272))**2)*6.\nAnswer: -15960 + 465*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let i(j) = -j**2 - 4*j - 2. Let p(u) = a(u) - i(u). Suppose -3*q - 16 = -7*q. Suppose 3*c = -q*x - 29, c - 7 = -0*c + 2*x. Calculate p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 72 = -0*h + 2*h, 4*k - 29 = -h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v + 4. Let b(k) = -k**3 - 19*k**2 - 33*k + 17. Let p be b(-17). Calculate s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -2*o - a, -263 = 11*o - 12*o + 4*a. List the prime factors of o.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -929044?\nAnswer: -929043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2*(-3)\/(-6). Let z(c) = 3*c**2 - 8 + 4*c**2 - 6*c + g*c**3 - 2*c**3. Is 17 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oogwxpocwwgo. Give prob of picking 1 g, 1 x, 1 p, and 1 o.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-16)*(0 + 8). Suppose 2*l - 227 = -j*p - 0*l, 0 = -4*p - 2*l + 304. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 > 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*82\/(-14) - 0. Let y = s - 1080\/91. Let k = -2907\/4 + 727. Sort 2\/7, y, k, 3\/2.\nAnswer: y, k, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 152160, 304281, 456402, 608523?\n\"Answer: 152121*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.846854\nAnswer: 0.846854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:02 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.593 + -2.523. Let u = m - 13. Let k = u + -0.57. What is the closest to 0 in k, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386575, 386585, 386595, 386605?\nAnswer: 386615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - 41*h**2 - 33*h - 18. Let t(y) = 3*y**3 + 27*y**2 + 22*y + 12. Let n(z) = 5*f(z) + 8*t(z). Give n(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 3 + 0*q + 8*q. Let u = -478 + 480. Calculate r(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -15*l + 11*l. Let r = 3 - 1. Solve -3*s - 1 = c, l*c - 2*c + 4*s + r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 8, l: 1, o: 1, j: 4}. What is prob of picking 1 o, 1 r, 1 j, and 1 k?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2317738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggyy when four letters picked without replacement from {y: 9, g: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6 + 14747*w - 2*w**3 + 20*w**2 + 8 - 14744*w as o + v*w**2 + j*w**3 + k*w and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 1. Let m be n(-4). Let o = m + -9. Suppose -o*b + 70 = 3*k, -4 + 16 = k - 5*b. Calculate the highest common factor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 111*a**2 - 696*a.\nAnswer: -3*a*(a + 8)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let v be (-1 - -1)\/(2*z). Let r be -1 - 10*(-3)\/54. Is v > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - 19*i**3\/3 - 12*i**2 + 12*i - 43. Let l be d(-18). What is the highest common divisor of 160 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - g - 5587 = 0, y = -2*g + 269 + 1130. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-56))\/(9 + (-590)\/70).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 10\/7*m + 8\/7 + 2\/7*m**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 2*u - 1. Let o = 43 + -33. Suppose -7*z + o*z = -3. What is p(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9117006 = -3*d, 7*d = 5*c - 3087316 + 24360301. Round d to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 1012?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70029, 140076, 210143, 280230, 350337, 420464?\nAnswer: 490611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttlttlttt. What is prob of sequence lt?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 740645303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 9\/((-7020)\/(-6235)). What is the third smallest value in -0.5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 s when three letters picked without replacement from dkdskskalsadu.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 79*w**2 + 199*w + 3466. Calculate k(-77).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1))\/b)**(-21)\/(((b*b**0*b)\/b)\/b)**(-1\/2) assuming b is positive.\nAnswer: b**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 51*k**4\/2 + 2*k**3\/3 + 2*k**2 - 843*k + 8489. What is the derivative of n(o) wrt o?\nAnswer: 306*o**2 + 4*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h - h**2 - 1 + 3*h**2 + 1 + 105*h to z*h + p*h**2 + o and give z.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 877 - 187677\/214. Let a = 419\/1926 + c. What is the common denominator of a and -45\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggmgggmgggggmggmggg. Give prob of sequence gmgg.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239509203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6724047, -6724048, -6724049?\nAnswer: -6724050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9082 and 4.\nAnswer: 36328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 8\/9, 3814 in descending order.\nAnswer: 3814, 24, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -4*a - 15. Let b(w) = w**3 - 4*w**2 + 4*w - 5. Let j be b(a). Let p(r) = -2*r**3 - 2*r**2 - 2*r. Determine p(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -u + 16, -2*c - 3*c + 11 = -u. Suppose -c*z + 20 = -z. Let p = 0 + z. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 103 = 3*u, -72 = -2*u - 2*x - 2*x. Suppose -2*k + n + 13 = 0, 3*k - 4*n = 8*k - u. What is the smallest common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f - 12?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 1, b: 1, h: 1, w: 5, e: 1}. What is prob of sequence wbss?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b + 305. Let z(q) = 7*q - 61. Calculate -2*g(o) - 11*z(o).\nAnswer: 5*o + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*x**2\/3 + 26*x\/3 + 224.\nAnswer: -(x - 6)*(23*x + 112)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 93567011 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3842334945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.19 + -2. Let n = -0.85 + g. Is n > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 479 and 2847655?\nAnswer: 2847655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. What is the remainder when 3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/315, 2448, -2\/3 in descending order.\nAnswer: 2448, -2\/315, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1709191121 and 1.7.\nAnswer: 1709191122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -526770, -526891, -527012, -527133, -527254, -527375?\n\"Answer: -121*k - 526649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 2601. List the prime factors of u(-53).\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -8 in descending order.\nAnswer: 19, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c + 2*c**2 + (5 - c - 5)*(3*c - 2*c - 21*c) + (-30*c - 25*c + 40*c)*(3 - 3 - c).\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140157 (base 9) to base 10.\nAnswer: 85426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 3180 = 0. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/24 and -53\/7407666.\nAnswer: 29630664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**8\/840 - l**4\/24 + l**3\/3 - l**2. Let p(r) be the first derivative of y(r). Find the first derivative of p(i) wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*40.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041599199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x**5\/140 - 2*x**4\/7 - 8*x**3\/7 + 63*x. Solve v(f) = 0 for f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {v: 3, b: 1, r: 3, q: 1, a: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -151 + -25 - -64 - -142\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 - 444*i**3 + 15960*i**2 - 167504*i - 658464 = 0. Calculate i.\nAnswer: -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1396, 1415, 1454, 1519, 1616, 1751, 1930?\n\"Answer: b**3 + 4*b**2 + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9502196, 0.3, 5 in descending order.\nAnswer: 5, 0.3, -9502196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*p + 15 - 9*p**2 + 2*p**2 + 2*p**2 - 22 + 6 as j*p + l*p**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02872 and -56.\nAnswer: 1.60832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:18 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -1\/2, -1\/24, 37?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 14?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27582834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and 76.\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5\/6, 302, 0.4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23*j**2. Suppose 0 = -5*b - 244 - 116. Let t = -5 - b. Calculate the remainder when t is divided by d(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a02497 (base 15) to base 6\nAnswer: 430532154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2261*q + 1971. What is the hundreds digit of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3826, -3824, -3822?\n\"Answer: 2*g - 3828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -102, -85, -60?\n\"Answer: 4*v**2 - 3*v - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-3 - -4))\/((-4)\/(-740)). Suppose c = -35*r + 39*r. What are the prime factors of r?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -2, 0.1, 0.2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -72?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 3*d - 2. Let i be g(1). Suppose u - 9 = -3*x, i = -2*u + u + 2*x - 1. Determine p, given that -p**2 + 0 + 1\/2*p + 1\/2*p**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -494 - -269. Let k = l - -144. Let h be (k\/(-30))\/(1\/(-2)). Which is the biggest value? (a) -5 (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 divided by 89?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 15, 2234 in increasing order.\nAnswer: 15, 20, 2234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a (base 14) in base 4?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 20, -0.044, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.309 times -6?\nAnswer: 1.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13755.794 rounded to the nearest 10?\nAnswer: -13760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llww when four letters picked without replacement from ljlblnlblblbbnjjlwlw.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + 3*s**2 - 2*s + 3. Let u be p(2). Let w be (u\/(-60))\/(3\/9). Which is the nearest to -1\/3? (a) 4 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -23*c - 56. Calculate v(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.1 and 868?\nAnswer: -20050.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 - -201. Let g(j) be the third derivative of 1\/480*j**6 + 0*j**p + 0*j**3 + 0*j - 7*j**2 - 1\/1680*j**7 + 0*j**5 + 0. Let g(y) = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trrt when four letters picked without replacement from yyryryrtt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-10) + (4 - 138\/30). Suppose -4*u + y + 4 = 0, 0 + 2 = -u + y. Suppose w = u*v - 3 - 5. Calculate the highest common factor of v and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, -12, -403, -2, 29 in descending order.\nAnswer: 29, 1, 0, -2, -3, -12, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 189\/(-14) - (-12)\/(-8). Let n be 19\/6 + q\/90. Suppose -5*w = n*f + 1255, -810 = 2*f - w - w. Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 19*n - 15. Is 9 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/56*18\/3633. Which is the closest to x? (a) -0.4 (b) -1 (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5 - 3500*u**4 + 197856*u**3 + 618128*u**2 + 416768*u = 0?\nAnswer: -2, -1, 0, 64, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3720, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -5, -3720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2423, 9728, 21903, 38948, 60863, 87648?\nAnswer: 119303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 130?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 9063*h**2 - 36288*h + 36300 = 0. Calculate h.\nAnswer: -3025, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2755\/(-38) + 2*2\/8. Let j(a) = a - 2. Let d be j(2). Is 19 a factor of d + z\/(-4) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -3*f - 3*a, -2*f - 4*a = 0. Suppose f*q = -2*q + 536. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0484 and -0.00085.\nAnswer: 0.04755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3185 - -1?\nAnswer: -3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.32 times -474340\nAnswer: 626128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 16, 0.17, -4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30 = 4. Let t(o) = o**2 - 18*o + 27. Let l be t(19). Calculate the remainder when l\/(-8)*4\/(-1) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 5010\/1637?\nAnswer: 5010\/1637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01719356651 to 6 dps.\nAnswer: 0.017194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.05 - -29. Let f = -0.05 - i. Let t = -955 + 943. Sort t, f, -0.5.\nAnswer: t, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4868, 4820, 4772?\n\"Answer: -48*a + 4916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4\/7, 2\/3, -932 in decreasing order.\nAnswer: 2\/3, 4\/7, -2\/3, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from rruqqcurqrc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 6. Suppose 54 = 3*j + 6. Let w be (-238)\/(-8) + 4\/j. Suppose 13*v - 19*v + w = 0. Calculate i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2856 divide 1089018504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6835, -7573, -8807, -10537, -12763, -15485?\nAnswer: -18703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/(3\/15). Let o = -922 + 927. Which is the closest to 1? (a) 2 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 25*b - 52. What is the third derivative of -7*x + 5*x**2 + 9*x**2 + 3*x - 12*x**4 + 156*x**4 - 4*x**b wrt x?\nAnswer: 3456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2269*z**2 + 2253*z**2 + 2296*z**2 - 9149*z**2 + 2261*z**2.\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.232632 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721687*f = 721550*f + 548 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40094 and -16.5.\nAnswer: -40110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 3404219358.\nAnswer: 3404219358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:57 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4683348, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 732 and 4209.\nAnswer: 16836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.69 + -0.01. Let z = -4.7 + o. Sort -1\/8, z, 4 in ascending order.\nAnswer: z, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7132 - 3374. What are the prime factors of j?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.41 - 1.41182. What is s rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755569348 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11415*o**6 - 8479*o**2.\nAnswer: 1369800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 32 = 2*p, 2*p + 2 = 3*p - 5*v. Solve 0 = 4*g - 4 - p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uth when three letters picked without replacement from yuhhsyistshi.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlsamdlg. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1012500 - 161?\nAnswer: -1012661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -125a + -3946?\nAnswer: -4ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(2016)*5 - (sqrt(2016) - (-1*sqrt(2016)*2 + sqrt(2016))))\/(sqrt(2) + 2*sqrt(4)\/sqrt(2) - -3*sqrt(8)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - 0. Let o be 3*4\/c*-5. Solve -20 = o*d + 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) - 285\/(-6). Suppose 4*o - c = 8. Calculate the greatest common divisor of 154 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 501743251 or 501743249?\nAnswer: 501743249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 6251?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -149944*x - 3448806. What is t(-23)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/8 + h**3\/2 + 9. Solve m(b) = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - h + 119 = 0, 2*w + 117 = -0*w + 3*h. Let b = 99 + w. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732\/(-2013)*121\/(-143)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -20360385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -o - 4*v, -11 = -3*o + 7*o + 3*v. Let q be 0 - -3 - -9 - o. Suppose -4*c + 3*z = -27, -4*c + c - 4*z - 11 = 0. Solve q - 2 = c*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -12 in descending order.\nAnswer: 7, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19642846?\nAnswer: 2, 19, 107, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 22*m**3 + 14032*m**2 + 42240*m = 0. What is m?\nAnswer: -88, -3, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7812 and 7905?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -p + 4*p + 27, -5*p - 4*y = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 + 19*t**5\/60 + 7*t**4\/12 - 40*t**3\/3 + t**2 - 40. Determine n(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1314 + 411 + n**3 - 5.\nAnswer: n**3 - 908","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = 4, r = 2*o + 19. Let m be o\/6 - (-1)\/(-3). Put m, 10, 3 in increasing order.\nAnswer: m, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/2 + 21\/4. What is the nearest to g in -1, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 - 1161*k - 1062. Give w(117).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 4*w)*(-3*w + 3*w - 2*w**3) - 2*w**2 - 2*w**4 + 2*w**2 + (3*w - 2*w - 3*w)*(0*w**3 + 0*w**3 - 2*w**3).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -4 - -3)*-3 + 2. Let a(x) = -x**3 - 24*x**2 + 23*x + 1. Let h be a(s). Calculate the greatest common divisor of 68 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-197913*t + 336*t**2 + 98955*t + 98960*t)*(3*t**2 + 0*t**2 - 2 + 3) in the form i*t + q*t**2 + d*t**4 + l*t**3 + u and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -0.3, 2.2, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 254 - -3?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icac. Give prob of sequence acc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3*156\/(-208))\/(5\/(-18))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 8*n + 7568 = 20*n. Solve 154 = 3*y + n for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 48?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34596 and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.32, -3, -0.18, 9, -14.3.\nAnswer: -14.3, -3, -2, -0.18, 0.32, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1116, 1091, 1020, 879, 644?\n\"Answer: -4*f**3 + f**2 + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.045 - 0.255. Which is greater: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.8 + -99. Let k = u - -1. Which is the nearest to -0.1? (a) k (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29231.9 - -29233. Let g be ((-2)\/(-8))\/(2 + -4). What is the third smallest value in r, -2\/5, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2184*g**3 + 156*g**2 - 156*g - 312. Let f(t) = -2*t**3 - t**2 + t + 2. Give -780*f(u) - 5*y(u).\nAnswer: -9360*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*g**4 + 2*g**2 - 27.\nAnswer: 5208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -11. Suppose 0 = 5*o + 5*n - 25, 0*o - 2*o + 38 = -5*n. Calculate the highest common divisor of r and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 4}. What is prob of sequence aa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -92\/3, -4, -2\/15, 0.05, -5 in descending order.\nAnswer: 0.05, -2\/15, -4, -5, -92\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1662720 divided by -69280\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -9 - (-24)\/8. Let k = g - 11. Which is the closest to 0? (a) 1\/3 (b) 2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21799, -21833, -21897, -21997, -22139, -22329, -22573, -22877?\nAnswer: -23247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 52129364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, u: 1, j: 3, v: 1, e: 3}. Give prob of sequence je.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from mwwwrwwwwr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/280 + 3*k**6\/160 - 61*k**5\/40 - 15*k**4 + 176*k**3 + 3684*k**2. Find r, given that i(r) = 0.\nAnswer: -8, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 15. Let o be m(0). Suppose 9 = -3*d, -3*d = 5*u - o - 96. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7818943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + (675 - (-4 - -6)) is divided by 238.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 2115 + 5119 + 317 - 2*i.\nAnswer: 3*i**2 - 2*i + 7551","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29\/10, -1, 7, 2200?\nAnswer: -29\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + 8\/3. Is (1 - -105)*1\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**4 - 25*g**3 - 3*g**2 - 6*g - 3. Let o(h) = -h**3 + h**2 - h - 1. Let j(t) = n(t) - 3*o(t). Find the third derivative of j(v) wrt v.\nAnswer: 48*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 7640 - 37828 = 3279*t - 3764 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**6\/15 + 19*n**4\/6 - 28*n. What is the third derivative of h(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v**(-5)*((v**2*v)\/v)**23)**30 assuming v is positive.\nAnswer: v**1185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -175, -159944?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 2*d**2 + d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85158916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47762321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 173*r**5\/20 + 838*r**2 - 2017*r. Find the first derivative of a(j) wrt j.\nAnswer: 519*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1)*-3 + sqrt(13) - ((-1 + sqrt(13))*-4)**2.\nAnswer: -227 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 150122 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268253 is divided by 18990?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7276 (base 12) in base 7?\nAnswer: -51240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 47*i**2 + 151*i - 51. Let j be m(50). Put j, -15, -5, 18 in descending order.\nAnswer: 18, j, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 4100 = 0. What is y rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-4))\/(27\/(-144)). Suppose -5*x + 5*d = -50 - 140, -q*x - 5*d = -152. What is the remainder when 188 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1177 - -2294. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(1\/2 + -1). Suppose 5*w - 14 = 10*j - 7*j, -j - w = -6. Solve 0 - 2\/5*c**5 + 0*c**j + t*c**4 + 0*c + 2\/5*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:23 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*w = 20, -d = 5*w - 21 + 17. Let x be ((-6601)\/(-35) - -7)\/(d\/(-5000)). Round x to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.3, 0.131, 0?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43562*h + 697069. Calculate l(-16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-10 - -13) + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/77 and 101\/3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 2. Suppose -61 - 11 = -4*i. Let u(w) = 4*w - 9. Let t(n) = i*c(n) - 4*u(n). Let d(j) = 31*j. Determine t(d(o)).\nAnswer: 62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -1146\/11. Let b = 8 + -7.94. Let h = 0.44 + b. What is the third smallest value in -5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/5 + 12*j**4\/5 - 14*j**3\/5 - 12*j**2\/5 + 16*j\/5 = 0.\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.77985779 - 8786.72142779. Let p = b + 8777. Let g = p - 0.059. Round g to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -0.06, 111, -239 in decreasing order.\nAnswer: 111, -0.06, -0.1, -3, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**(-1)\/b*b*b)\/(((b\/b**(-1\/3))\/b)\/b)**(-32\/7) assuming b is positive.\nAnswer: b**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11684.47896 microseconds to weeks.\nAnswer: 0.000000019319575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 657\/(-438)*(-1 - (-623)\/(-3)). Solve -8*s - 265 = -j for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-8)\/52 - (-91746)\/117. Let t = l - 142. Is t a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003901163 rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 + 0.72. What is n rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 416 = 33*l. Let h be (3\/(-4))\/(75\/640*l). Which is the biggest value? (a) 4 (b) -0.4 (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/54 and 12 + -2 + -5 + 16566\/(-3132)?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from rqsqqqsssss.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:12 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -419748*w**4 - 33*w**2 + 76281197*w?\nAnswer: -5036976*w**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/13 (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493595 is divided by 1246796.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*w - 290*w = -128. Solve -4*o = -4*s + w, o + 0*o + 3*s = -8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -8322?\nAnswer: -8314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 3. Let y(t) = -t**2 + 7*t - 4. Let n be y(3). Let h be r(n). What is the third derivative of z**5 + 3*z**2 + h*z**3 + 4*z**3 - 9*z**3 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776722842 a multiple of 917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.036?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -866909 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 14 = s, -3*s + 8*s - 22 = -r. Suppose s*j + 28 = 8*j. Solve j*q + 3*x = 4*q, -2*x + 15 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/3 + 33 + 294\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3 - m**2\/2 + 10. Calculate x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by -5\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.9 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 12) to base 15.\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 0*q**2 + 11 + 6*q**2 + 3*q**2 + 9*q. What is the units digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -10. Suppose -3*y = -w - 15, -w + z*y + 4 = 23. Let f = 11 + w. Calculate the highest common divisor of f and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25*l - 9 = 27*l, 9 = -3*x + 3*l. Let y = -14.03 + 0.03. Sort y, x, -2\/9 in decreasing order.\nAnswer: -2\/9, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/25 of a kilometer?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5124\/61*(-2 + 6). Calculate the highest common divisor of q and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q**3 - 9*q**2 - 6*q + 2. Let d(o) = 19*o**3 - 11*o**2 - 7*o + 1. Calculate 6*d(n) - 7*j(n).\nAnswer: -5*n**3 - 3*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let q(d) = -1713*d. Determine x(q(k)).\nAnswer: -3426*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 12, x: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**7\/1260 - w**6\/270 - w**5\/180 - 9*w**3 + 23. Let h(o) be the third derivative of s(o). Factor h(q).\nAnswer: -2*q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 25*y**3 - 3*y + 2*y.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-42)*4*231\/22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11014 or -11145?\nAnswer: -11014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 1. Let f be w(1). Suppose 5*c - 8 = f. Differentiate 2*o**c - 1 + 0 + 2*o**2 with respect to o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -42*(88\/(-12) - -4) + 3. Let w = z - -28. Let p = w + 84. What are the prime factors of p?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -758 times 0.95\nAnswer: -720.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1153 = 3*v - 2*v, -4*v + 3*j = -4579. What is the remainder when v is divided by ((-10)\/(-4))\/((-17)\/(-68))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -5511296.4.\nAnswer: -5511296.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2766322?\nAnswer: 2, 13, 106397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -451433, -451432, -451431, -451430?\n\"Answer: k - 451434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173735 != 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Which is the nearest to 0.2? (a) 5\/4 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*a + 6611 = 0, f - 5*f = -4*a - 6612. Suppose 3*x + 0*m - 2*m = f, 4 = -4*m. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + b - 3*b - 1. Let r be m(3). Suppose -3*l - r - l**2 + 0*l**2 + 0 = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -4, 4, 146\/25, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 58*i - 32. Let a be m(-11). Sort a, -2, -5, -1 in decreasing order.\nAnswer: a, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8571604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.083 and 11691966129.9.\nAnswer: 11691966129.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.047 - 3.047. Which is the third biggest value? (a) f (b) -0.6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 75*r**2 - 91*r + 48. Let g be f(-76). What is the greatest common divisor of 1276 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -0.046143.\nAnswer: 0.646002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 15, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 68035040*y - 231438333390080 = 0. Calculate y.\nAnswer: 6803504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7472 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.39. Let g = l - -2.01. Let y = g + -2.2. Does y = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 268004.5 and -10.\nAnswer: 267994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -1, 5.\nAnswer: -1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**4 + 13 - 2*l**4 + 12*l**4 + 19 + l + 60 to r*l**3 + u*l**2 + o*l + g + j*l**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t**2 - 16*t + 18. Let h(d) = -4*d**2 - 5*d + 6. Calculate -2*f(l) + 7*h(l).\nAnswer: -2*l**2 - 3*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1853, 2, -3056?\nAnswer: -3056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + s**4 + 0 + (0*s - 2*s + s)*(-s**2 + s**2 + 2*s**3) - 10*s**4 + 2 - 2 - 2*s**4 + 0*s**4 + 4*s**4 - 2*s**4 + 0*s**4 + 0*s**4.\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 59. Suppose -10*w + 8*w - 14 = 0. What is the remainder when z(w) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:28 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-6)*-1 - 8\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v - 34732 + 5*v**3 + 34732 - 2*v**2.\nAnswer: 5*v**3 - 2*v**2 + 122*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfffrfrrrrfrrffffrff. What is prob of picking 4 f?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3, 1\/21, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*r*v**2 - 34261*r + 3*v**2 - 795261 wrt r.\nAnswer: -20*v**2 - 34261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453788.\nAnswer: 2, 41, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 323, 941, 2149, 4145, 7127?\n\"Answer: 33*l**3 - 2*l**2 + l + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1487*n**4 + 7*n**3 - 482462*n**2 wrt n.\nAnswer: 35688*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -163, -243?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 1. Let s(l) = -l**2 + l - 1. Let o(d) = 3*s(d) + 3*y(d). Let u(v) be the first derivative of 4*v**3\/3 + 2. Calculate u(o(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -381\/16 (b) 3\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281351 is divided by 70257?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olllyyyyoyylyllyy. Give prob of sequence oo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 4. Is y\/9*2499\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27760035 is divided by 603479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) 4.76 (b) -2 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150 - 147. Let m(i) = i**2 - 2*i - 3. Let z be m(b). Factor 0*q - 2\/9*q**2 + z.\nAnswer: -2*q**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9652 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 -1 + -10 + 61\/((-2196)\/(-378)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 + 6*y - 9. What is k(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3304151, -3304158, -3304167, -3304178?\nAnswer: -3304191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149669 is divided by 1577?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10*-1*-1. Let t = -5.09 - -0.09. Let o = 62 + -66. Which is the nearest to r? (a) t (b) o (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 19. Let w be q(14). Solve -5*u - 3 = h, 15 = -0*u - w*u - 5*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Suppose z*g + g - 33 = 0. Solve -5 = k - 3*m, -m + g = -5*k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 17. Factor 3\/2*r**5 + r**y + 0*r + 4*r**4 + 0 + 7\/2*r**3.\nAnswer: r**2*(r + 1)**2*(3*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 1. Let r(a) be the third derivative of a**4\/24 + a**3\/6 + 6*a**2. Determine -3*h(x) + 5*r(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001588 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -465.9875 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -80*s**4 + 5*s**2 - s - 139. Let o(a) = -79*a**4 + 6*a**2 - a - 139. Let j(v) = -6*d(v) + 5*o(v). Differentiate j(m) with respect to m.\nAnswer: 340*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04766575729 to 3 dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 295*m**2 + 1370*m + 1080.\nAnswer: 5*(m + 1)*(m + 4)*(m + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0 - 7\/480*l**6 + 45*l**2 - 1\/8*l**5 + 125\/48*l**3 + 0*l - 25\/96*l**4 - 1\/1680*l**7. Factor n(f).\nAnswer: -(f - 1)*(f + 5)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t + 64 + 20. What is the nearest to 3\/2 in 0.3, t, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 3*q**2 - 4*q**2)*(-q + 1 + 7 - 4)*(4*q + 20*q - 9*q).\nAnswer: -30*q**4 + 120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 221 (b) -4 (c) -127 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/6*((-66)\/(-24))\/(-11). Suppose -2*b + 2 = 6. Is i at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h + 8. Suppose q = -3*t + 12, -4*q + 0*t - 2*t = 2. Let r be j(q). Let n = 37875\/23 + -1647. Is r equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -18*s**3 + 10*s**2 + 15*s - 9. Let z(m) = 21*m**3 - 11*m**2 - 17*m + 10. What is 8*y(n) + 7*z(n)?\nAnswer: 3*n**3 + 3*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 96*n + 80. List the prime factors of j(23).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116*10\/(-120))\/(10\/30).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/16 + 13*j**4\/12 - 13*j**3\/3 - 2*j**2 + 9*j. Let b(w) be the first derivative of a(w). Differentiate b(d) wrt d.\nAnswer: 420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-40)*6*5. Let r(w) = -w**3 - w**2 + w - 10. Let i be r(j). Suppose 3*o - 5*s - 56 = 2, -i*o - s + 78 = 0. Solve -m + o = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1886 and -85\/4128638.\nAnswer: 169274158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f + 5*f**3 + 17*f - 2800 + 6703 + 39*f wrt f?\nAnswer: 15*f**2 + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + (239 - 280) + -40?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*n - 3*u, -2*n + 7 = 2*u + 9. Let y(g) be the second derivative of 28*g + 0*g**3 + 0 - 37\/12*g**n + 0*g**2. Let b(a) = 2*a**2. Calculate y(b(l)).\nAnswer: -148*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*d + 25, -5*z - 5*d - 5 = 0. Solve -5*t + 3*t - 6 = z*m, 3*m + 12 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 + 4211*s**3\/4 - 6057177*s**2\/4 + 3171165233*s\/4 - 140497382465\/2.\nAnswer: -(s - 1367)**3*(s - 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-4))\/144*10?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 11*z - 19*z. Let g be (-2)\/(-1) - (z + (-15)\/3). Let f(m) = -26*m**3 - m**2 + 2*m + 4. Is 12 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 - 276*a + 7. Give m(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t + 5*a, 0 = -3*t + 3*a - 0*a - 15. Which is smaller: t or 6\/37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783857897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 35\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**4 + 66*n**3 + 9981?\nAnswer: 12*n**3 + 198*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-162)\/(-6))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let h(y) = y - 10. Determine -h(z) + 5*n(z).\nAnswer: 4*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:46 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 less than -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 4525161.7?\nAnswer: 4525163.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/2*f**2 - 6*f + 1\/2*f**4 + 2 - 3*f**3.\nAnswer: (f - 2)**2*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, d: 5}. What is prob of sequence dzdd?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11265*-0.4.\nAnswer: -4506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 658 - 657. What is the remainder when 29 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 432*p + 148467\/2.\nAnswer: -3*(p - 121)*(p + 409)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-5\/3)*i*i))\/(i\/i**(11\/4))*(i**(6\/7))**(-5\/9) assuming i is positive.\nAnswer: i**(-67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/9*6\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 + 2*s**2 + 8*s - 1. Let p(q) = 7*q**3 - 3*q**2 - 8*q. Let w(c) = 5*m(c) + 4*p(c). Is w(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 2. Suppose -u + 3*u - l = 16, 6 = u - l. Let n be 52\/u - (-11)\/(-55). Suppose -5 + 15 = n*x. Determine w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 h, and 1 j when four letters picked without replacement from {i: 2, z: 4, j: 5, h: 2, a: 1}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*t**3 - 30*t**3 - 2*t - 4656*t**2 + 4659*t**2)*(4 - 1 - 1).\nAnswer: -942*t**3 + 6*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 257.6\nAnswer: -257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30))\/(48\/60 - (-15)\/(-25))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7164 - -57315\/8. What is the common denominator of q and -1 + 0 + 14\/(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = 22. Let c(k) = -k**3 + 8*k**2 - 5*k + 1. Let l be c(w). Determine n, given that 15*n - 2*n**4 - n**5 - l*n - n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -19. Let g = -37.1 + v. Sort g, -2\/7, -2\/3, 4.\nAnswer: -2\/3, -2\/7, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 2. Suppose 0 = -6*l + 3 - 21. Calculate k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-10)*-1 - (-39572)\/130.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 0.3, 56, -1 in decreasing order.\nAnswer: 56, 55, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 109\/(-2) + 0 + (-1)\/(-2). Let u = z - -56. Determine i, given that 0 - 4\/3*i + 2\/3*i**u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21664440 divided by -360\nAnswer: -60179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00390631 to 5 decimal places.\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7.1. What is the smallest value in x, -3, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 10. Suppose -r - 3*r - 20 = 0. Let o be s(r). Suppose -2\/5*y**2 + 0*y + o = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1939\/35 + -3)\/((-10)\/(-1225))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(2\/13) assuming y is positive.\nAnswer: y**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8324 - 300 - 5685 = 483*a - 1751 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 - (-57 - -36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26698777691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 9*d**2 + 4*d + 1. Let i be r(-6). Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 805291756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 162\/(-243)*3\/4. Put -44, 0.2, o, -3 in increasing order.\nAnswer: -44, -3, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(9\/(-1))*(16\/(-3))\/4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h*h*h**(-3)*h))\/h*h*(h*h*h**(-11)*h*h*h*h)\/h*h*h**(4\/3)*h\/h**(-11)*h assuming h is positive.\nAnswer: h**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*u**2 - 1360*u**2 + 273*u**2 + 360*u**2 + 364*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**3 + 4*p + 79. Let k(h) = 5*h**3 + 2*h + 40. Give -3*a(q) + 5*k(q).\nAnswer: -2*q**3 - 2*q - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a7 - -5?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 22*p - 180 = 0. Suppose -2*d + 4*k = 3*d + 12, 2*d + 15 = 5*k. Solve d = 2*y + y - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 - 2)*(0*x + 3*x - x)*(-2*x**2 + 4*x**2 - x**2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 12) in base 14?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -58. Let z = -9 - h. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*m - 40*m + 178. Let v = -155 + m. What is the greatest common factor of 161 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n - 104 - 44*n - 5*n + 104. Let h(z) = -z + 1. Let x(r) = -12*r + 11. Let t(g) = 22*h(g) - 2*x(g). Determine i(t(c)).\nAnswer: -122*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1*(-12)\/(-8)). Solve -4*j - t - 12 = 0, j + t + 2 = a*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 - 1 = 0. Let v = 4 - 1. Let f = g + v. Solve 0 = -w + 4*d - 25, 39 = -f*w + 3*d - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909603 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 101 - 204 + 103.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1 - (-294)\/91 - 3\/(-1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -14473625.\nAnswer: -4\/14473625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 2*l + 176 + 248 - 131.\nAnswer: -2*l + 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/m**(4\/13))**(-14\/13) assuming m is positive.\nAnswer: m**(-308\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2184, 2104, 2026, 1950, 1876, 1804?\n\"Answer: k**2 - 83*k + 2266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = n + z, 4*z + 129 = 4*n + 121 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 48919\/8281 + 24\/156\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/2976)\/((1\/(-243))\/((80\/(-24))\/(-10))).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.44 in -3\/20, -0.27, 1\/10?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/45)\/(l**(-3\/4)*l))\/(l\/l**(2\/11)*l**13*l) assuming l is positive.\nAnswer: l**(-29791\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*t + 4*k + 78, 2*t = 4*k + 48. What is the remainder when 83 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 1. Let m be x(-4). Let f(v) = 0*v**2 - 3*v + 3*v**2 - 2*v**2. Let k be f(m). Solve k = 5*b + i - 6*i - 20, i + 4 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -35*j**2 + 174*j + 12. Let s be p(5). Solve -3*f = s - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0. Let f = r - -0.03. Let m be 0 - (-19)\/8 - 2. Which is the third smallest value? (a) m (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*m**2 + m + 22*m**3 - 184*m**2 to w + b*m**3 + i*m + p*m**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g + 30. Let z be p(15). List the prime factors of 3\/(-2)*2280\/z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -10*i**4 - i**3\/3 + 65*i - 57. Find the third derivative of o(m) wrt m.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a + 8*a**2 - 12 + 12.\nAnswer: 8*a**2 - 33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) + (-136895)\/(-114). Let q = w - 828. List the prime factors of q.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*o + 6*o + 312 = 0, -866 = -3*g - 5*o. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnkjjnk. What is prob of picking 1 k and 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z**2. Let c(g) = 4 - 1394*g**2 - 4 + 1334*g**2. Calculate -3*c(w) + 8*k(w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3*(-6)\/(-45)). Let t = j + -1. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 8. Let n(m) = 8*m - 9. Calculate -6*j(f) + 5*n(f).\nAnswer: -8*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/350 - o**6\/40 - 3*o**5\/50 + o**4\/10 + 4*o**3\/5 + 6*o**2. Let y(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88296*v**4 + v**3 - 4*v**2 + 18180*v - 26.\nAnswer: -1059552*v**2 + 6*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1924193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 252*r**2 - 125*r + 1137. Is f(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 38 = -38. What is the biggest value in 1.1, a, -4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21*-3)\/(3\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/3*6\/4. Find the second derivative of 8*b - 6*b**p - b + 0*b wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-12) + (-8)\/(-48)*5. Factor 3\/4*t**c - 9\/4 + 3\/2*t.\nAnswer: 3*(t - 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5109930, -20439859, -45989742, -81759579, -127749370, -183959115, -250388814?\n\"Answer: -5109977*o**2 + 2*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106*l**2 - 51*l**2 - 106*l**2.\nAnswer: -1263*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + -6*(sqrt(605) - 3*sqrt(605))**2 + 0.\nAnswer: -14521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2e8 (base 15) to base 13.\nAnswer: 17375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cczcccccccrczcccc. What is prob of sequence rcz?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - ((-23 - (6 - 6)) + 3)) + 3 + 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13808379 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoffzxaoaaaffax. Give prob of picking 1 f and 1 a.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20471841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yywyyywwyy?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129030831 and 903?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**7\/840 - a**6\/120 - a**5\/60 - a**3\/6 - a. Let z(o) be the second derivative of g(o). Determine z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, -4, -2\/5, -0.034, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1623504 and 8046?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/3)\/x*x*x*x\/x**(-1\/7))**(2\/81) assuming x is positive.\nAnswer: x**(188\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5219.08 - -2738.99?\nAnswer: -2480.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*p = 7*p - 7, 4*n + 16 = 2*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 + -76)\/2)\/(2\/24350). What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/30 - 5*v**4\/6 - 3*v**3 - 16*v**2. Let x be z(-9). Sort -4, 20, x.\nAnswer: -4, x, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88317 - 4*o**2 + 88317 - 3*o.\nAnswer: -4*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 7*u - 5. Let h be c(4). Let s(m) = 4 + 2 - 4*m**2 + 5*m**2 + 9*m. What is the units digit of s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306a (base 12) to base 6.\nAnswer: 40214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/9 - 2)*-3. Suppose 4 = -p, u - 2*p = -v + 19. Suppose -b = -u*b + 10. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -394, -829, -1264, -1699, -2134?\n\"Answer: -435*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.2. Let q = 88 + -86. Let u = -6 + 4. What is the third smallest value in q, j, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -7 - (33 + -11 - 27) - (0 + -10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:31 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**4 + a**3 + 2*a**2 - 1. Let s(p) = 161*p**4 + 1126*p**3 + 964*p**2 + 268*p + 23. Let y(v) = 5*s(v) - 5*x(v). What is w in y(w) = 0?\nAnswer: -6, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489310987 to the nearest integer?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 2*k**2 + 5*k**2)*(k + 4*k - 4*k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 - 2*u - 1. Let j(g) = -2*g + 5. Let b = 6 + -2. Let q be j(b). Let m be y(q). Sort 4, -5, m in ascending order.\nAnswer: -5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/77*(-1518)\/(-483)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7349 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6410 and 21\/112816.\nAnswer: 564080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l - 55. Let c be m(-7). Solve -7 = -3*g - 4*a, 2*g - 2*a + c = 2*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149850726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7583654 * 0.5.\nAnswer: -3791827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66.24 and 5.21.\nAnswer: 345.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + p + 12994 = 40*t + 13119, 6 = -t + 3*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331296\/9949 or -32?\nAnswer: -331296\/9949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207395396 divided by 2206334.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 6. Suppose 0 = -m - 4, -28 = -4*n + m - 0. Let x(a) be the first derivative of -a + 6. Calculate n*x(t) + v(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 84*n + 741 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6. Let z(m) be the second derivative of m**3\/2 + m**2 - 3*m. Does 4 divide z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/((-925)\/570))\/((-4)\/10). Do w and 56 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23364 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -1 + (-4616)\/(-1216). Let l = n + 3\/38. Let t = 13\/8 - l. Is 3\/7 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 564 = 3*t + 64*p + 1930, 4*t = 5*p + 92 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a9739 (base 11) to base 3\nAnswer: 22002111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 89*i**9\/252 + i**6\/60 + 47*i**5\/30 - 27*i**2 + 3. Find the third derivative of c(h) wrt h.\nAnswer: 21360*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f**4\/f))*f*(f\/f**(3\/14))\/f assuming f is positive.\nAnswer: f**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 1 + 3*a + 1 + (-4 + 0 - 3)*(32 - 32 + 7*a).\nAnswer: -50*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 3*s + 3*s)*(-3 + 3 + 1) - 3*s - s + 5*s - 6 + 6 - 7*s + 17 - 31 + 15 + 14*s to l*s + r and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 - 3*r**3 - 9*r**3 - 7*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 149, 436, 911, 1574, 2425, 3464?\n\"Answer: 94*s**2 + 5*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*-5*(1 + sqrt(200)))**2)*2.\nAnswer: 4000*sqrt(2) + 40204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 199 - 17.1902\nAnswer: 181.8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 565016005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -29*y + 2615. Determine k(87).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:19 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 1922 = -1413. Let u = -142 + h. Suppose x = -z - 1 - 3, 4*x - z = 9. What is the highest common divisor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 788*q**4 - 592*q - 2 wrt q.\nAnswer: 9456*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i**2 + 2*i. Let m(f) = -39*f**2 - 7*f + 1. What is 2*m(d) + 7*t(d)?\nAnswer: 13*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose 0 = 5*o - 5 - 0, 3*h + a*o = 61. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146409688 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001434957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 3\/(-4)*(-1200)\/50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 - 3 = 0. Let l(k) = 1 + 8 + 1 - v - 2*k. Let n be l(-6). Calculate the greatest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + -3)*6*2)**2 - (-4 + (sqrt(24) + sqrt(24)*-2)\/sqrt(8) + -2).\nAnswer: -2591*sqrt(3) + 5190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -170000 = 3*r + s*r. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let r(m) = 3*m**2 - 10*m. What is r(w(g))?\nAnswer: 3*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 274*l - 12. Let a(n) = 137*n - 5. Calculate 5*a(j) - 2*f(j).\nAnswer: 137*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 101100111?\nAnswer: 100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmnevvmqnvvvmvevvqe. What is prob of sequence qvnv?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2022198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*u - 23, -5*d + u - 3 + 8 = 0. What is the derivative of -t**2 + 1 + t**2 + 3*t**d wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 1106*r**2 + 2298*r + 90712. Determine f(-1108).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 31*y + 3. Let d(g) = g - 3. Let p be d(6). Calculate the smallest common multiple of w(-8) and ((-26)\/p)\/((-4)\/6).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**7\/1365 + 3*s**6\/130 + 113*s**5\/390 + 23*s**4\/13 + 60*s**3\/13 - 333*s**2. Suppose g(k) = 0. What is k?\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 62*r**2 - 19*r - 13. Let k(l) = -31*l**2 + 9*l + 6. Let b(u) = -6*i(u) - 13*k(u). What is the second derivative of b(p) wrt p?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948361279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12503011 (base 6) to base 3.\nAnswer: 202222020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 2*p**2 - 6*p + 2 - p**3 + 6*p**2 - 2*p**2.\nAnswer: -2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y + 2. Let u(w) = -2*w**2 - 7*w - 2. Let b(x) = -7*q(x) - 3*u(x). What is b(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 13*o**2 + 11*o. Let z be r(4). Let a be (-4)\/z*1 + -1 + -2498. What is a rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1815*l**2*o - 72*l**2 - 11*l*o + 8620*o wrt l?\nAnswer: 3630*o - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/36 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 2020.\nAnswer: -51\/2020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t - 22*t + 24*t + 5*t**3 + 17*t.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**3\/3 - n. Let k(p) = -p. Determine 3*a(c) - 3*k(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/311678 and 32\/632523?\nAnswer: 21505782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1004038, -1004039, -1004040, -1004041, -1004042, -1004043?\n\"Answer: -t - 1004037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*s + 861 - 2301 = 0, -4*n - 2*s = -1148. What is the greatest common divisor of n and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfcgcmcfcgmcc. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 2*s + 4. Let g be y(-6). Suppose -5775 = 99*z - g*z. What is z rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20973867499504559.0000049 + -20973864553914878. Let m = p + -2945589557. Let b = m + -124. Round b to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Let f be (-3 + -1)\/2 + 3. Solve -5*y = -f - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141 + 417 + 150)*(-2*x + x + 0*x + (2 + 3*x - 2)*(0 - 3 + 1)) to the form g + u*x and give u.\nAnswer: -4956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 20*d**2 + 25*d + 4. Let k be c(5). Solve 0 = f + k, 0 = 2*i - 3*f + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 4*c**3 + 4*c**2 + 8. What is the second derivative of r(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Let y = -4 - w. Let t be (-4)\/(-16) + (-15)\/y. Solve -1 = t*m + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1130362 + 140?\nAnswer: -1130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*n**2 - 1772*c*n - 104*n**2 wrt c?\nAnswer: -2*n**2 - 1772*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -751, 1\/4, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/(-1*(-40)\/(-125)). Let o = v + 145. Calculate the common denominator of o and 1*((-36)\/(-7))\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from jrjqhvjrqjhkqqjqk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168012 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from bbbgegb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209477 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15981 = -3*u, -y + 16471 = 3*u + 490. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 3*m, -i - m + 3 = -1. Let b(n) = 4*n + i*n - n - 1. Suppose -3*q - h = -5 - 3, 4*h = 20. Calculate b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.038, -0.6, -1, -0.1 in increasing order.\nAnswer: -1, -0.6, -0.1, -0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 r when three letters picked without replacement from zzbzbzzbbbzbbrb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -60 + 54. Solve d*a + 6 = -2*k, a = -3*k + k + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let h(n) = 14*n - 4 - 14*n - n**3. Let l(f) = h(f) - w(f). Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 71*u**6\/10 + u**4\/6 - 713*u**2\/2 - 5*u - 8. What is the derivative of n(l) wrt l?\nAnswer: 852*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a)**(-2)*(a**1)**12 assuming a is positive.\nAnswer: a**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418445?\nAnswer: 3, 5, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33586 is divided by 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*b - u - 22, 4*b - 2*u = 20. Let o be 3*-1 + (b - -5). Suppose -o*l - 5*m - 5 = 0, -2*l + 14 = -3*m + 1. Solve 0*y - 6 = l*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2 - 2)*(-4 + 5 + 1) - 5*b + 4*b + 4*b - 2*b + 6*b - b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 853 = 1143. Let i be ((-8)\/(-3))\/(2\/3). Is i\/6 + n\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-113)\/1017 - (-57)\/27)\/(-9 - 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-41)*n\/(n**(-31)*n))**(-46) assuming n is positive.\nAnswer: n**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184.1 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/509347411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.163 + -4.537. Let k = q - -4.4. Let l = -7\/10 - -11\/5. Which is the third smallest value? (a) l (b) 7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i**2. Let f be b(-1). Let d be (4\/(32\/f))\/(13\/(-572)). Let h = d + -99. Solve -2*q = -3*m + 10, h*q + 3*m = -3*q + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + -0.36. Let l = -531 + 531. Let f = 1.2 + -1. What is the nearest to l in f, 3, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402375665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -72329 greater than 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -2*q**3\/3 + 3*q. Let n(k) = 7*k. Give -5*l(s) - 3*n(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 362025?\nAnswer: -362034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + (-17 - (-58 - -38))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21666 - -16537. Let x(g) = -4*g**2 - 38203*g + p*g. Let o(c) = -c**2 - c. Calculate o(x(u)).\nAnswer: -16*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5043779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30533*v**6 + v**5 - 16543*v**2 + 5*v - 3.\nAnswer: -3663960*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -19*c + 1810. List the prime factors of c.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 326862*b + 180801?\nAnswer: 326862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 32. Which is smaller: p or -17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 12 - 3 - 1230\/40*-4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 1, q: 3, l: 3, y: 3, v: 1}. What is prob of sequence vpq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298 divided by -1.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30235, -2 in decreasing order.\nAnswer: 0, -2, -30235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/(-8) - (-3)\/6 and 43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogggggogggg. Give prob of sequence go.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*j = -6*r + 45, -31 = -4*r - 3*j. Suppose o + r = t, 4*t - 4 = 3*t - 3*o. Solve 0 = a - p + 8, 3*a = 5*a + t*p - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 at most 281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2036*i**3 + 7*i**2 - 26*i + 22269883.\nAnswer: -6108*i**2 + 14*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -n + 5*l, -4*n + 3*l = -9*n + 32. Suppose 0 = -3*m - 2*c + 20, -n*c + 35 = 5*m + 3. Solve -20 = 3*k - m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352169 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*i - 146 = -13*h, -h - 5*i + 4 = 0. Calculate the highest common factor of h and 9146.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/116*(-7)\/5*1\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.05, -3\/2, -2, -2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - 1) + (-737 - -776).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 29*s - 26. Let n(b) = -10*b + 9. Let w(k) = -6*j(k) - 17*n(k). Let q(d) = 3 - 3*d - 2 + 2*d. Suppose 8*m - 1 = 15. Determine m*w(u) - 7*q(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1930, 3861, 5788, 7711, 9630, 11545, 13456?\n\"Answer: -2*r**2 + 1937*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89522\/(-8)*(-44 + 36).\nAnswer: 2, 17, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385.2 + -3175078650\nAnswer: -3175078264.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*o = -9425 + 4300 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 143?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 25678*d - 308043. Determine g(12).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191685 is divided by 95838.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 1, b: 1}. Give prob of picking 1 b, 1 x, and 1 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 + -53?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6463347 smaller than 2\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/4 - 27*x**3 - 159*x**2\/2 - x - 19. Find k, given that g(k) = 0.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*t + 24*t + 160*t)*(1 - 2 + 0)*(-t - 2 + 2).\nAnswer: 319*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1, 8, -5, 320 in descending order.\nAnswer: 320, 8, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 11698803*i + 11698800.\nAnswer: 3*(i + 1)*(i + 3899600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-1)\/(-1) - 0. Let p = 1276\/5 + -255. Are w and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - 27*y**2 + 1651*y. Let o(r) = r**3 + 6*r**2 + r. Determine -5*o(k) - w(k).\nAnswer: -2*k**3 - 3*k**2 - 1656*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16366166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 760378 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-588)\/(-48) + -13 - (-11)\/4. Let p be (g\/(-2) + 10)*(-16)\/(-48). Factor -20\/9*s**p - 32\/9*s**2 + 0 - 4\/9*s**4 - 16\/9*s.\nAnswer: -4*s*(s + 1)*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2) + (-4)\/(-280)*-202. Let o = t + -138\/595. What is the second biggest value in 1\/22, 2, o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7 = -2*i - 0, -w - i + 7 = 0. Let q(x) = x - 2. Let b be q(6). Solve 3*k = 5*f + 15, -b*k = -w*f - 14 - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.13 (c) 0 (d) 2\/19 (e) -319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 396 - 169 = 438 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 - 97*g + 97. Let i be y(10). Is -0.5 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 414*b*g**2 + 7*b*t**3 + 6*g**2*t**3 + g**2*t**2 + 5*t**3 + 23*t**2 wrt b.\nAnswer: 414*g**2 + 7*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 21*o + 57. Let f be d(-18). Suppose f*w + 1 - 37 = 0. Suppose 82 = 3*i + 2*j - 26, 3*j = 0. Calculate the greatest common factor of w and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Let v(a) = 54*a**3 - 1558*a**3 + 6 - 8*a**2 + 20947*a**3 + d*a. Let y be v(-6). Round y to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let c be a(0). Let m = -2223 + 4225. Suppose 3*g - 1199 - m = c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.279 - -5.721. Which is smaller: 239 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(12\/(-20)) - -18. Suppose s*i + 9000 = 3*i. What is the tens digit of ((i\/2)\/(-5))\/(2\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1651261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 9 + 39 - 190 = 0. Solve a = -5*o + 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293603227.\nAnswer: 293603227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.1 and 12.65939.\nAnswer: -127.859839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 884\/(-84))*-7.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-52 + 3 - -37 - (1 + 27)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 14*p + 13. Let j be n(14). Let s = -5 + j. Let k(m) = -38*m + 36*m - 1 + 8 - 2. What is k(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 12 = 0. Suppose -d + 32000 = 5*i, 0 = -u*d - 5*i + 61437 + 66563. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exee when four letters picked without replacement from {e: 4, x: 5, l: 3, o: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*h + 144 = -227 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (3 - (-8 - -4 - -15) - -5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -4525\/53466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -128 (c) -56.3 (d) 82 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*727.8\nAnswer: 43.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3642 + -1.6358. What is the biggest value in 83, -1\/5, q?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2342, -2340, -2338?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20843026 a multiple of 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4586997*b**4 - 38*b**3 - 2*b**2 + 174412739 wrt b.\nAnswer: 110087928*b - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkekkkkkkkeek. What is prob of sequence kkkk?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46856 + -32652. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let u be (y - 3) + 6 + 1. Find the third derivative of -u*f - 3*f**5 - f**2 + 5*f wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)\/(14\/(-21)). Let l be 3 + 8 + -4 + -1. Suppose -u + 3*u = l. Sort u, j, 1 in decreasing order.\nAnswer: u, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - k + 11, 0 = g - 2*k + 1 + 7. Let j be ((-110)\/(-3))\/(g\/6). Calculate the highest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from drtdwtteqdqw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1112142341 (base 6) to base 11\nAnswer: -6945038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/(-30)*(-8567920)\/280 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 9*j**2 + 3*j - 11. Let f be k(-8). Let h(c) = -7*c**2 - c. Let r be h(-1). Let b = r + f. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let y(n) = -2*n. Let u(a) = -4*o(a) + 5*y(a). Let v(g) = 3*g**2. Give u(v(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490668086 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-3*c + 4*c - 2*c) + c - 3*c + c - 2 + 2 + 2*c - 2 + 2 - c + c + 0 + 0 - 2*c + 5*c + c + 2*c - 5*c - 3*c as d*c + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 + 3*u + 1. Let t(r) = r**2 + 26*r + 50. Let x be t(-24). Let o be 5\/2 + x + (-8)\/(-16). Calculate y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 + 227. Let v be 152\/57*2\/q. Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/19 - -317\/247. Let f(n) be the first derivative of 8\/39*n**3 + 8\/65*n**5 + 1\/39*n**6 + 0*n + 5 + 1\/13*n**2 + v*n**4. Factor f(g).\nAnswer: 2*g*(g + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/17)\/h)\/h)\/h**(-3\/2)*(h\/(h**(1\/15)*h))\/h**25)**(-8\/9) assuming h is positive.\nAnswer: h**(51916\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 29 (b) -2\/3 (c) -1 (d) 3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r + 115701 = 108*r + 4*t, t = -2*r + 231367. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 2}. Give prob of picking 1 d and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v, -2*w - 275 = 3*w + 4*v. Suppose -474 = -10*h + 7*h. Let a = h + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269526313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 12*h**2 - 3*h - 17*h**2 + 26*h**2)*(14 - 14 + 13*h) to q + w*h**2 + r*h**3 + i*h and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + ((sqrt(50)*2)**2 - sqrt(2)) - (sqrt(2) + sqrt(2)*2*2 + -1)**2).\nAnswer: -152 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 14*w + 5. Let r be p(7). Solve 22 = 5*a - i - 0*i, 0 = -r*a - 3*i + 34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -664.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*k - 7932 - 4548. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2627*w + 74664 - 24682 + 41963 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -39273, 4, -2.\nAnswer: -39273, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107640676 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5171.175 litres?\nAnswer: 5171175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/310 and -15\/4.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + 2*n**2 - 2*n - 6. Let u(f) = -f**3 - f - 1. What is -c(o) + 2*u(o)?\nAnswer: -7*o**3 - 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 286*n**2 - 4011*n - 14628. Give j(271).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-66)\/44*(-9476)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uugkfukfvf. What is prob of sequence kffk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 188*w + 15. Is s(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, -0.08, -1\/4, -5\/4 in decreasing order.\nAnswer: -1\/18, -0.08, -1\/4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*v + 8 = 0, -2*d + 5*v = -0*d - 14. Find the common denominator of (-3*d\/70)\/((-44)\/(-4070)) and -33\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 359, 359, 371, 401, 455, 539, 659?\n\"Answer: v**3 - 7*v + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**2 - 122*m + 32. Let g(c) = 2*c**3 - 8*c**2 - c + 19. Let v be g(4). Let r be b(v). Determine d so that -2\/9*d**r + 2\/9*d + 4\/3 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52722, 105449, 158176, 210903?\nAnswer: 263630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1272514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/2 (c) 1 (d) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191953292 and 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 7. Let d(q) = -12*q**2 - 36. Let c(y) = -3*y**2 - 8. Let u(s) = 9*c(s) - 2*d(s). Calculate n(u(v)).\nAnswer: -27*v**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*u + 277 = -u, 2*u = -8. Let h = 55 + i. Solve 4*g - 8 = -h*l, -l + 2*g + 2*g = 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -456*c**3 + 27*c**2 + 36*c + 131. Is m(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2675688071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4265*h**3 - 652*h**2 wrt h?\nAnswer: 25590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 2. Let a(k) = -14*k + 40. Let t(y) = -a(y) - 3*w(y). Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 + 329. Let s be 52\/104 + k\/(-4). Factor 0 + 0*r + s*r**2.\nAnswer: r**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(405) - sqrt(405) - sqrt(405))**2*-5 + sqrt(30)\/(sqrt(6) + sqrt(864)*3 - sqrt(6)).\nAnswer: -50625 + sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*f - 24304 = -1120*f - 962*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734 - 175*s**2 + 366 + 368.\nAnswer: -175*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + 3094\/(-140))\/(1\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*s - 12, 0*s + 4 = -2*j + s. Let m = j - -2. Suppose m*n = 4*n - 38. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63052 is divided by 61923.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 101\/42*o**7 + 0*o**6 - 58\/3*o**3 - 151*o + 0*o**5 + 0 + 0*o**4 + 0*o**2. What is the second derivative of s(v) wrt v?\nAnswer: 2020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268410 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 2}. Give prob of sequence hee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7632 = -8*q - 4*n, -2*q + 3060 = 4*n. What are the prime factors of q?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4 - (4 - 1)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(128) - (-3 + sqrt(847) - sqrt(7)) - (2 + 1*sqrt(1008) + (-2*sqrt(1008) + sqrt(1008))*-6)**2.\nAnswer: -49393 - 1383*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 176483 = -2*r, -3*f + 3*r + 100250 = -76225. What is the ten thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 9) to base 11\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**5 - 114*x**3 + 3366*x**2.\nAnswer: -120*x**2 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539161 <= 539169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {n: 1, o: 4, j: 3, p: 10}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 643497 or 643493?\nAnswer: 643497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**2 + 9*w**2 - 6*w**2 - w + (0 - 2 + 1)*(4*w**2 - 2*w**2 - w**2) + w**2 - w**2 - w**2.\nAnswer: -5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -403*w + 120. Is q(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18497 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t + 336. What is f(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 189?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*u + 12 = 0, 0 = 6*u - 5*u. What is the closest to -1 in 0.2, n, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -5052?\nAnswer: -5052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55827 (base 10) to base 5.\nAnswer: 3241302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 65*j**2\/3 - 1000*j\/3 - 1500.\nAnswer: -(j + 10)**2*(j + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzkzzkzzzzzzz.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 7, l: 1, j: 7, m: 1}. Give prob of sequence acc.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -4019?\nAnswer: -40190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185370 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5513, -11027, -16549, -22085, -27641, -33223, -38837, -44489?\nAnswer: -50185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2033568 or -14234974\/7?\nAnswer: -2033568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 5*i + 8*i - 127.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 48. Let c = -0.98 - u. Let s = c - 0.0199991. Round s to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 4*d**2 - 4*d**2 - 9*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((-8)\/(-392)*7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.5, 0, 2\/26611, -0.011, -3\/4, 2\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-22))\/6)\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.35 + 12.16. What is m rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 874.\nAnswer: -174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 10) to base 4\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -141 times 906\nAnswer: -127746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)*o**(2\/21))\/(o\/((o\/((o*(o\/(o*(o\/(o\/((o\/((o*o**(-1\/26))\/o))\/o)))\/o)*o*o)\/o*o*o)\/o*o))\/o))**13 assuming o is positive.\nAnswer: o**(-3233\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 0, -x + y + 5 = -0*y. Solve 0 = -c - 3 + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.27\nAnswer: -8.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 11368\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21*-2)\/((-10)\/(-18))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 12 - (-508 - -509).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 + -15.73. Let n = w + 14. Let z = 202\/7 - 29. What is the closest to n in -4, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6413*-2.47\nAnswer: -1.584011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 - 5076*x - 12259456\/7 = 0.\nAnswer: -17414, -352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25448 - -11446.74552. Let n = p - 11446.90947. Let u = 0.089 - n. What is u rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + sqrt(50))*6.\nAnswer: -216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 t when three letters picked without replacement from {u: 5, z: 6, s: 5, t: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + 2.7. Which is the biggest value? (a) -3 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 401095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 710756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 - b - 1. Let r(g) = 0 - 3 - g**3 - 4*g + 4*g**2 + 9*g. Let x be r(5). Calculate m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 17*x - 101. Let a(r) = 10*r - 51. Let o(t) = 5*a(t) - 3*n(t). Calculate the remainder when 63 is divided by o(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/207)\/(-1*(-2)\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, -0.17, 1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4242 + 0.5242. What is the closest to k in -11, 3, -0.05, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -939561492, -939561491, -939561490, -939561489, -939561488, -939561487?\n\"Answer: l - 939561493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47310 and 3990?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*i**3 - 290*i**2 + 241*i**3 - 467*i**3 + 290*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 91*b + 102. Let c be y(-16). Let x = -814 - c. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w - 16. Suppose 3*u = 5*x - 19, -5*x = 5*u + 42 - 37. Put x, w, 3, -4 in increasing order.\nAnswer: w, -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - z**3 + 94334 - 47164 - 47170.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 4*f**2 - 9076*f + 9076*f)*(1 - 3 + 1).\nAnswer: f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4069 - -4257.9. Let n = 189 - u. What is the biggest value in -4, -2\/3, n, 0.02?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18958 less than or equal to 19576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**3 - 15\/2*p + 11\/4*p**2 + 0.\nAnswer: -p*(p - 6)*(p - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4547, 9182, 13819, 18458, 23099, 27742?\n\"Answer: y**2 + 4632*y - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neddndrdbnedddndnbdr. Give prob of picking 1 n, 2 r, and 1 b.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + 4413?\nAnswer: 4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3579, 3580, 3581, 3582?\nAnswer: 3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/60 + 3*m**5\/8 - 13*m**4\/24 - 5*m**3\/4 + 7*m**2\/2 - 3*m + 5. Factor j(g).\nAnswer: -(g - 14)*(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10101?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176349 + 0.125.\nAnswer: -176348.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let a(u) = 5. Let r(z) = 1. Let h(s) = a(s) - 4*r(s). Let x(w) = w + 4. Let f(g) = -4*h(g) + x(g). Calculate f(q(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(3 - 1 - 4) - 3 + 4 + 0 - 2 + 4 - 1)*(0*k + 4*k - 6*k)*(4 + 0 - 1).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a**2 - 2*a**2 - 2*a**2. Let q(s) be the third derivative of -2*s + 72*s**2 + 0 + 1\/12*s**4 + 0*s**3. Give q(c(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 514 - 253. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16*l - 3. Let i(r) = -72*r - 8. Determine 2*i(w) - 10*t(w).\nAnswer: 16*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1624230*d**4 - 609590.\nAnswer: -6496920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*s - g*t**4 + 47*g - 25*s*t**4 + s wrt t.\nAnswer: -4*g*t**3 - 100*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/7190 and 71\/35?\nAnswer: 50330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 239*y**2 + 3543*y + 2756. Give s(102).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -5*m**2 - 2. Let a(y) be the second derivative of y**4\/6 + 937*y. Calculate a(h(f)).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1169 times 27?\nAnswer: -3.1563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 8*j - 33 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2956434356 to the nearest integer?\nAnswer: 54373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:42 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:20 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 16 - 70 = 0. Solve s = 3*n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 13*u. Let j(q) = q**2 + 10*q - 8. Let t be j(-12). Let h be (-2 + 3 - t) + 2. Let y be d(h). Solve y = -3*a - 0 + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-180)*8)\/(((-16)\/3)\/(-8)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s + 11. Let p(t) = -11*t - 12. What is 6*n(m) + 5*p(m)?\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 14*d**2 + 4. Let l be a(-7). Let f = -1 - -6. Suppose -5*x + x = f*i - 2, 7 = 4*i + 5*x. Sort l, i, 3 in decreasing order.\nAnswer: l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = 2*w - 0*w, -10 = -2*j - 2*w. Suppose q = -j*q - 2. Is (1 + q)*(-38 + 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(6\/13))**(-16) assuming h is positive.\nAnswer: h**(-720\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvb when three letters picked without replacement from vwddbidid.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67 and 32096.\nAnswer: -2150432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 6*f**2 - 23*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - v = -5*v + 90, -4*q - v = -72. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321817542 to the power of 1\/2, to the nearest integer?\nAnswer: 17939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56094.2303 rounded to the nearest integer?\nAnswer: -56094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - ((sqrt(2736) + 0)*4 - sqrt(2736)) - sqrt(2736)) + -2*2*sqrt(2736) + sqrt(2736))*-5.\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170) + (sqrt(170) - (sqrt(170) + -2*sqrt(170)))*4 - sqrt(170)) + -6*(sqrt(170)*1 - sqrt(170)))*-4)\/((-3*sqrt(120)*-1)\/(-5*1*sqrt(12)))*-5)**2.\nAnswer: 10880000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n - 6. Give h(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.6 + -44.5. Which is the smallest value? (a) 1\/6 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2 + 8*c + 21. Let t(i) = 15*i**2 - 12*i - 31. Let h(w) = -8*g(w) - 5*t(w). Let s be h(-5). Let d(p) = s + 2*p + 134 - 274. Determine d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*u - 8, -2*u = -2*w - 2*w - 8. Let c(l) = 0*l**3 - l**3 + 1 - l + 0*l**3 - 4*l**2. Determine c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 1\/20*f**5 - 5\/6*f**3 + 0*f**2 + 6*f + 0 + 0*f**4. Find the second derivative of m(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -16 - (-14 - -7)) + -18\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0.0406, -44, 8, 0.4 in descending order.\nAnswer: 8, 0.4, 0.0406, -2\/19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6*m**3 - 23\/2*m**2 - 1\/2*m**4 - 18*m.\nAnswer: -m*(m - 9)*(m - 4)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120102 + -2252?\nAnswer: 113410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2 + (2 + 4 - 2)*(-1 - 2 + 4))*(-1702*h + 1596*h + 0*h**4 + 3*h**4) to u + d*h + f*h**2 + t*h**4 + v*h**3 and give d.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/600 and -38\/1440225.\nAnswer: 11521800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5470 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (0 - -14 - 0). Let f = 20 + v. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 36. Let h be c(8). What is the nearest to h in 2, -0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*n**2 + 20*n - 16\/5.\nAnswer: -4*(n - 4)*(6*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45, 68, 91, 114?\n\"Answer: 23*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -1472 + 1460 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216280 * 1.\nAnswer: -216280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -66*t - 328. Let j be z(-5). Solve 3*d = -j*s - 15, 2*d + 3*d + 9 = 2*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129457877?\nAnswer: 129457877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwllwllbbwbl. What is prob of picking 1 b and 1 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/5 - 100534*t**4\/5 - 1261523712*t**3\/5 + 46814109696*t**2\/5 = 0. What is t?\nAnswer: -25152, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + (-594)\/(-21). Let w = u - 12. Suppose j = -3*j + w. Solve 0 = -2*p + 2*s + 14, j*s + 2 = -4*p + 2*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085193791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32191 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4315291, 0.3, 1\/7, -0.05?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-20))\/((-18)\/(-15))*(-137)\/((-359625)\/(-1350)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33069767 divided by -5\nAnswer: -33069767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*((-11)\/(330\/(-36)))\/(8\/100)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -5 - (39 - (-23 + -3)) - -6\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 36 = 4*w. Let b = -36 - w. Let l be b\/(2 + 1 + -2). Solve 0 = -3*x + 3*c - 2*c + 2, l = -5*x + 3*c - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = h. Let g be 78\/h - (-3)\/(-12)*1. Suppose 3*v - 406 = -3*w - 13, -g*v + 2*w = -373. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o - 26. Let u be n(5). Suppose -2*a + u = 4*j, -3*j - a = -0*a - 9. Solve -2*r + 8 = j*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 8*j + 5. Let c be h(9). Let a be 0\/((-3 + 19)\/c). Differentiate a - 7 - 10*z**2 - 1 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 112\/(-20))\/(12\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1138, -1150, -1172, -1210, -1270, -1358, -1480, -1642?\n\"Answer: -s**3 + s**2 - 8*s - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let i be 1\/(-2)*(-2)\/(-2). Let g be (8 - 209\/26)\/(2\/(-8)). What is the second biggest value in g, p, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/(2\/26). Let z(m) = -m**3 - 3*m**2 + 6*m - 7. Let g be z(-6). Let k = g - -52. What is the highest common factor of q and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:44 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58 + 137 + 133)*(-3*a**2 + 6*a**2 + 2 - 5*a**2 + 2*a) to the form s*a**2 + n + d*a and give d.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-352)\/(-135 - -47).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621 - (7 - 1)*2\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1970826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -28, -7, 48, 149, 308?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 + 1.13727.\nAnswer: 0.95727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2*3\/(-2). Let m be (4 + l)*51\/3 + 4. Suppose -4*y = 5 - m. Solve 3*n + 20 + 10 = 5*h, y*n = -5*h - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 4)*(-1 - 0). Suppose -3*x - 4*o = -21, -5*x + 2*o = -3*o. Sort 4, j, x in descending order.\nAnswer: 4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*f**2 - 4*f + 4*f + 204 - 204 to the form r + v*f**2 + m*f and give v.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 3*w - 5*w**2 + w**2. Suppose -6*u - 150 = -12*u. Suppose 0 = -18*l + u*l + 21. Let s(y) = -13*y**2 + 7*y. What is l*s(o) + 7*a(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 - 319. Which is the closest to l? (a) 1\/2 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/14 + 7*o**5\/30 + 25*o**2. Find the third derivative of g(f) wrt f.\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let i(a) = -289*a**2 + 6*a + 9. Let q(t) = 14162*t**2 - 292*t - 438. Let f(v) = -146*i(v) - 3*q(v). Give f(w(j)).\nAnswer: -1168*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -158*v**2. Let g(f) = -6*f**2. What is g(x(y))?\nAnswer: -149784*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (-8 + -2 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288))*6.\nAnswer: 18 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1140 by -38.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 10:24 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d*n**2 - 10*d - 161*n**2 - 17*n wrt n?\nAnswer: -10*d - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 976034 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - q**4 - q**4)*(-4*q + 11*q - 8*q + 49 + (3*q - 54*q + 2*q)*(-3 + 1 + 3)).\nAnswer: 50*q**5 - 49*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*2 - sqrt(396))*3 - (sqrt(396)*-2*-2 + sqrt(396)) - (sqrt(396) + sqrt(396) + 0 + -3 + 3 + sqrt(396) + (sqrt(396) - (sqrt(396) + -1))))**2*1.\nAnswer: 60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:17 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4, -4*b + 5*k = 4*k - 2031. List the prime factors of b + 0 + (-3 + -9 - -9).\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56855297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x*x)\/((x\/x**0)\/x)*(x*(x*x**(-2\/5))\/x)**33 assuming x is positive.\nAnswer: x**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 17*f + 45. Let j(l) = -10*l**2 - 26*l - 68. Let w(q) = 7*h(q) + 5*j(q). Calculate the least common multiple of 1 and w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17222516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*o - 10. Sort o, 0, -3 in descending order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5770 by 32.\nAnswer: -2885\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -33, 51, 167, 309?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86147785 and -2.\nAnswer: 86147783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189*t**4 - 2 + 1616*t - 63*t**4 - 124*t**4 + t**2 + 0 + 0*t**2 to the form c*t**4 + y + d*t**2 + x*t + s*t**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.34 (b) 0.5 (c) -12\/23 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**2\/3 - 46*i\/3 + 124\/3 = 0. What is i?\nAnswer: -31\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:39 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n**4 + 0*n**7 - 1\/21*n**8 + 1\/60*n**5 + n**2 + 0 + 0*n + 0*n**3 + 0*n**6. Find the third derivative of m(x) wrt x.\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 129*t - 253 - 50, -10*m + t + 207 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**3 + 0*l + 2\/3*l**2 + 0.\nAnswer: 2*l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1642748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 447566 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/70 and 75\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 30*q**3 + 9*q**3 - 2*q**3 + q + 3*q.\nAnswer: 37*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*m - 899 - 1015 = 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = o, -4*y - 4*o = -9*o - 36. Suppose 16 = -2*q + y. What is the units digit of 1 + 12\/(q\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from ammvdvaiiaivva.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22213*i + 22212*i = x, 0 = -4*i - 5*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 220?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -8)*4*-11 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) 3\/4 (b) 0.33 (c) -0.5 (d) 8\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 19*k - 509. Calculate the remainder when k is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -60. Suppose -9 = -3*p, 4*o - 2*p = s*o + 4. Solve 0 = -0*a - 5*a + 2*v + 13, -10 = -o*a + 5*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 6 = 24*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 3. Let c be ((-11)\/(-5))\/(3*1\/15). Let j = i - c. Solve t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710 = 46446*l - 46356*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*p - 12 = -5, 0 = -2*a - 5*p - 12. Suppose -5*d - 59 = -69. Let f = d + a. Calculate the greatest common divisor of f and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, v: 5, w: 2, g: 4, z: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2387554408 + 17229\nAnswer: 17229.2387554408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 21*j - 780 = -h, 0 = j + h + 390. Let z = j - -417. What is the highest common divisor of z and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 4, 0, 48.\nAnswer: -16, -2, 0, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**2*x**3 - w**2*x - w*x**3 + 48*w*x + 4*x**4 + x**2 wrt x.\nAnswer: 6*w**2 - 6*w + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 + 260*b - 24. Let p be k(12). What is the greatest common divisor of p and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102016712 divided by 386.\nAnswer: -264292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 7999*m**2\/2 + m + 2. Let h be q(5). Suppose 0 = b + 4*u - h, -4*u - 19830 - 20174 = -b. Round b to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -167. Suppose -6*r - o = -5*r - 113, y = r + 2*o - 118. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267016957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + f - 3 + 1 + 2 - 2*f**2 to t*f + m + u*f**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10778 is divided by 240?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1985 and -61\/48906?\nAnswer: 97078410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - x - 9, 2*k + 4 = -3*x + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12719*n**4 - 15644*n.\nAnswer: -152628*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1 + 3 - 2*q - q. Suppose 4*m = -2*k + 3*k + 33, 0 = -3*k + 9. Let x = -11 + m. Let y(d) = 4*d - 2. Determine x*y(a) - 3*l(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/2 + 130*q - 3450 = 0 for q.\nAnswer: 30, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/14 - 8\/28. Let h be g*-1 - (-23 + 12). Suppose 5*u = 4*q - q + 18, 0 = -2*u - 4*q + 2. Solve 1 = -3*t + 4, -u*y - h = -4*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 + 4 - (0 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*m - 100*m - 78. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -0.18, 2\/5, -2\/73, 0.06?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwiouixxik. What is prob of picking 1 w, 1 k, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024125274 to four dps.\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:11 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*f + 169 + 130 - 83 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*x - 5*j, 3352*x - 12 = 3357*x + 2*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/60 - p**4\/12 + p**3\/6 + 4*p**2. Let s be n(1). Solve 2 = r - s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -10831\/7, 5\/3, 0.3 in descending order.\nAnswer: 5\/3, 1, 0.3, -0.3, -10831\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.068, -1\/2, -13, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x**2 - x + 4. Let i = 45 - 38. Let y be w(i). What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -620, -1239, -1856, -2471, -3084, -3695, -4304?\nAnswer: -4911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28) - (-15730)\/(-700))\/((-360)\/450).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 5*j + 3. Let q be a(6). Let x = 15 + -10. Suppose y + 6 = -4*u, -2*y + 21 = -x*u - 6. Calculate the highest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1263468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8470 + 9027. What is the remainder when o is divided by 205?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b (base 13) in base 15?\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1151707, 1151746, 1151811, 1151902, 1152019, 1152162, 1152331?\nAnswer: 1152526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 26*z - 26*z - 27*z + 73*z in the form a*z + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/24 + c**5\/6 - 25*c**4\/24 - 5*c**3 - 10*c**2. Suppose o(a) = 0. What is a?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from essezzsszsz. What is prob of sequence ezze?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*12\/12*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = c - 31, -3*c + 11 = 4*f. Suppose f*a - v = 68, 11*v + 10 = 6*v. Solve 3*s + 12 = 0, 5*z + s + s + a = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 9. Let i be l(5). Suppose -i*s - 5*k + 7 = -0*k, -4*k - 13 = -3*s. Suppose 4 + 11 = s*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -975.791 and -5.\nAnswer: -980.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (3 - (-1 + 7)) + (3481 - 3497).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76872 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a)**(9\/2)\/((a*a**(-5)*a)\/(a*a**(-1\/5))))\/(((a**1\/a)\/a*a**7\/a)\/(a\/(a*a**(2\/17))*a**(5\/4))) assuming a is positive.\nAnswer: a**(-23\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j - 3 - 4*j + 6*j**3 - 7*j**2 + j - 4. Solve f(n) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 + -2?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*((-5 + -5 + sqrt(300)*-1)**2 - (sqrt(300) + (sqrt(300) - -1*sqrt(300)*3) + sqrt(300) + 0)) + -4).\nAnswer: -14424 - 5040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3012 + 2*n + 1503 + 1507 + 165*n**2 - 2*n to the form y*n**2 + h + r*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1795, 3842, 6141, 8692, 11495?\nAnswer: 14550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m. Let y(k) = 51*k**2 + 85*k**2 - 3*k**2 + 27*k**2. Give v(y(q)).\nAnswer: -1120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -26 - 12 - (0 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 - 8*j + 5. Give d(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1.0577?\nAnswer: -3.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431400101 (base 5) to base 4.\nAnswer: 12331210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43378.6361 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97198 or 97336?\nAnswer: 97336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 = 1. Let w = -1 + l. Let c(f) = 369*f + 6. Let o(n) = 590*n + 9. Let s(p) = 8*c(p) - 5*o(p). Give s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5489, 19226, 41225, 71486, 110009, 156794?\n\"Answer: 4131*v**2 + 1344*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and -240.7.\nAnswer: 0.9628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*w - 44 = 360*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -70 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14\/17 - 36\/85. Let z(j) = -19*j**2 - 326*j - 55. Let x be z(-17). What is the nearest to -0.1 in x, 19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-8*7\/14. Let k be a\/(-2) + 3 - -3. Let w(z) = 10 + 2*z - k. Let d(j) = j. Calculate d(w(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let r(v) = -l*v**2 + 5*v + v**2 - 5*v**2. Let m(n) = 6*n**2 - 4*n. Let k(a) = a**2 - 11*a + 5. Let o be k(10). What is o*m(t) - 4*r(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*j + 117*j - 245*j to y*j + x and give y.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 131*h - 107 - 153. Solve 30*a - 27 = 35*a - h*u, -4*a + u = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 24\/17 (c) 3 (d) 13 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 695520000 rounded to the nearest 1000000?\nAnswer: 696000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5192 + 5544 + 994 + 480 = 185*m for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 27. Suppose -10*p - r = -13*p. Suppose 0 = -p*l + 7*l - 20. Solve 0 = -2*i + 3*c + l, 4*i - 6*c = -3*c + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = -39*u - i - 108, 5*u + 160 = 5*i. Let n be (1\/(7\/u))\/(-4). Sort 2, -1, 3, n.\nAnswer: -1, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:12 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*s - 40*s + 75*s - 57*s - 42*s - 34*s - 41*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -977522*q**3 - 324948*q.\nAnswer: -5865132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {t: 1, e: 6, v: 3, a: 2, m: 2, i: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-190)\/(-15) + 2*4\/24. Solve i - 12 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -74.000015. Round k to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 1 - 17. Suppose -3*q = -4*s + 137, s + 30*q - 27*q - 23 = 0. What is the smallest common multiple of s and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5198 + 10*a**3 - 8*a**3 - 5198.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) - -3*sqrt(187)*2) - 1*1*sqrt(187))\/((5*1*sqrt(44))\/sqrt(4)).\nAnswer: -7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as -23168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 5*g**9\/168 + 13*g**5\/60 - 15*g**2. Find the third derivative of d(a) wrt a.\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2269990862 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(7 + -4)*(-1)\/2. Let f be ((-7 - 1) + -51)\/(1\/x). Suppose 2*c = f + 183. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -161*i + 790. What is p(6)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**7\/840 - v**6\/90 - 7*v**5\/120 + 5*v**4\/24 + v**3\/6 - 3*v. Let y(f) be the second derivative of g(f). Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439115672.\nAnswer: 2, 3, 59963153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/22 + (-22)\/121. List the prime factors of (-17)\/((-1 - r) + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 19 (b) 5426 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 15 = x + 36, 3*x - 4*s = -41 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12597\/44114 - -1\/6302. What is the smallest value in -1, n, 0.0059?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 57*f + 59453. Determine o(217).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/423, -1\/7, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m. Let a(j) = -28*j**2 + 20*j. Let h(n) = -a(n) + 20*z(n). Let v(w) = 2*w. Calculate h(v(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-2\/11)\/((((l*l**0)\/l*l)\/l)\/l)**14*(l**6*l**(-3))\/((((l\/(l\/l**5))\/l)\/l)\/(l*(l\/(l*l\/(l*l**(-5))))\/l)) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4879695*x**2 + 181060?\nAnswer: -9759390*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssswssssswwssssswws?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 4 - (5 - (13 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19*u - 66. Let f be a(-4). Suppose -8*i + 2 = f. Put i, 2, 0, 4 in ascending order.\nAnswer: i, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/10710*-30)\/(6\/(-3)*(-30)\/12).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.039 and -3.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -1352, -2781, -4736, -7217, -10224?\nAnswer: -13757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1751633 - 6.34401?\nAnswer: -1751639.34401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19020\/70 + (-2)\/(-7). Suppose -4*h + l = -236. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*s + 5*k + 139 = 550*s, -28*k + 12 = -s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313.1 - -313. Let z = 2 + 2. Which is the nearest to l? (a) z (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q - 9. Calculate s(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12276590, 12276592, 12276596, 12276602, 12276610, 12276620?\nAnswer: 12276632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/23 in 4, -2, 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 + 3*d**3 + 1 - 2 + 45*d**4 - 2*d**2 - 2*d - 50*d**4 in the form l*d + t*d**3 + n + o*d**2 + q*d**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000472311005 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 6*q + 11*q - 12. Let n be h(6). Suppose -k + n*k + 587 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*w + 20 = 2*w, 3*c - w = -4. Let l = 0 - c. Let i(y) = -y**2 + y + 2. What are the prime factors of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36077, 34752, 32543, 29450, 25473, 20612?\nAnswer: 14867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573.66 + -566.66. Suppose 4*y - 10 = 5*d, -2*d + 8*y - 11 = 5*y. Let t = -2\/225 + -178\/225. Put d, h, t in decreasing order.\nAnswer: h, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 208823, 208848, 208873, 208898, 208923?\n\"Answer: 25*z + 208798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 10781563 to the power of 1\/2, to the nearest integer?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 224 = l. Calculate the remainder when l is divided by 40\/5 + 31 + (-11 - -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31281 and -31075 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -8\/19, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 2554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 3. Let n be v(-7). Suppose -n = -6*f + 3*f. Let t = f - 5. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 1512*z + 748581\/2.\nAnswer: 3*(z - 571)*(z - 437)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7 - 12*k + 2*k**2 + 9 + 14*k. Let u be d(6). Let i = u - 80. Calculate the remainder when 37 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 624 = -597. Is (2031\/27*3)\/((-3)\/j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 895 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*v. Suppose q = t - 31, 50 = -t + v*t - 5*q. Let b = -25 + t. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(64)*4) - ((-1*sqrt(76))\/sqrt(4) + sqrt(931) + -1).\nAnswer: -95*sqrt(19)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u**2 + 140*u**2 - 51*u**2 - 47*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = t, 22 = -4*t + 4*u + 58. Suppose 20 = -l - l - t*p, 0 = 3*l - p + 13. Sort 1, 3, l.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51826.\nAnswer: 2, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3159199655 + 5592192158. Let w = i - 2432992506.200000251. Let p = -3.2 - w. Round p to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.551 - -0.051. Let s = -1.7 + 2.7. Let w = h + s. Which is the biggest value? (a) w (b) -1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8126 by 6.\nAnswer: 4063\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkfammffppkkkpm. Give prob of sequence fk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176986?\nAnswer: 2, 88493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 800 (base 10) to base 3\nAnswer: 1002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, -1, -110 in decreasing order.\nAnswer: 5, -1, -3, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*l**2 - 21 + 21)*(0 + 5 - 3 + (-1 - 1 + 0)*(-3 + 0 + 2) + 2 - 5 + 1 + 1515 - 3013 + 1523) as j*l + c + z*l**2 and give z.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -4) + 3 - 3. Let y = 2 + -3. Which is the closest to y? (a) z (b) 0.2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1789 by -7955.\nAnswer: -1789\/7955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-100)\/6*(-13 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = -0. Suppose -3*u = c, c = -u - 4 + l. Let i = -138 - -1107\/8. What is the closest to 0 in -0.4, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:29 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w)\/w**(-1)*w**(6\/5)\/w*w**(-3\/5)\/w*((w**0*w)**19)**(-14) assuming w is positive.\nAnswer: w**(-3956\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 3*h - 2. Let c(f) = -3*f**2 + 2*f - 2. Determine 3*c(b) - 2*g(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.73 - -3.9. Let n = z + -0.17. Are 3 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2357, 4861, 7365?\nAnswer: 9869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s**3 + 42*s**3 + 67*s**3 - 175*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 13)*(52*p**4 - 10*p**5 - 52*p**4).\nAnswer: 210*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 1 + (1 - -9) - 40 - (-13 - -20).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 25*f**4\/12 - 2*f**3\/3 - 21*f**2. Suppose 7*a - 9*a = -6. List the prime factors of m(a).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8634 and 8633 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = q - 1277*c + 1278*c, 5*c + 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 87*f + 7052. Calculate g(-79).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + 2*z**3 + 81 - 66 - 3*z**3 + 10*z. Let k be f(-4). Let w be ((-6040)\/(-12)*k)\/(2\/20). Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o**2 + 9*o**2 - 15*o**2)*(-54*o + 54*o + 7*o**3) - o**5 - 4*o**3 + 0*o**5 + 5*o**3.\nAnswer: 48*o**5 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-45)*(-435175)\/(-1690).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1*(-3)\/(-15)). Let y(n) = -2*n + 5. Let h = 12 - 8. Let b(s) = -2*s + 4. Calculate h*y(r) + j*b(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 7. Let a = -18 - -15. Let x be -2 - (2 - (10 + a)). Let i(q) = -x*q + 6*q + 4 + 0*q. Determine -7*i(j) + 4*s(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 1. Let g(a) = 25*a - 4. Let y(p) = g(p) + 8*x(p). Suppose -2*l - 3 = 3. Determine y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(3\/2)\/o*o))**38 assuming o is positive.\nAnswer: o**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 169, -357, -1783, -4559, -9135, -15961?\n\"Answer: -75*i**3 - i + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -419 + -3?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from aaarjaaaaaarraaarr?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 115 = 0. Let d = g + -38. Let k = 4 - d. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 74*q + k + 17, 4*k = q + 2*q - 78 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/3 - 4*q**3\/3 - 8*q**2\/3 + 4*q\/3 + 2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 584 = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l + 10. Let r = l - 4. Is -1\/23 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.96 - 2. Let j = -0.0399 - s. What is j rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7722 and 3576534?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Suppose h = 2*t - 2*m - 82, t + 192 = 5*t + 3*m. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 times -447.8\nAnswer: -50601.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 79*j**2 + 2757*j - 270. Give o(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 6. Suppose 10 = 2*y - 4*i - 0*i, -t*y + 3 = 3*i. Suppose 0 = u + y, 4*z - 2*u - 13 = 41. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-65805.\nAnswer: -15793.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191377*j**2*x**2 + 98216*j**2*x + 102*j*x**2 - 3*j*x + 22 wrt x.\nAnswer: -382754*j**2 + 204*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -446196 - -8922147\/20. Let q be (-1)\/5 - (-433)\/(-5). Let n = s - q. Find the common denominator of n and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/(12\/400). Suppose 4*g = -5*h + 74, g + 10*h - v = 12*h. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 4, -1 in descending order.\nAnswer: 39, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 - 20*s - 4. Let b be x(7). Suppose 5*t = -3*g + 5*g, b*g - 50 = -5*t. What is the smallest common multiple of g and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/4)\/(2436\/(-35728)) - -6.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178725396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -1 - 1, -g = -3*v - 148. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 67*j - 31*j. Calculate the remainder when 40 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 584432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5\/3))\/((c\/(c*c**(4\/13)*c))\/c))\/((c**(-3\/32)\/c)\/c)**2 assuming c is positive.\nAnswer: c**(3637\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/1586261 and 43\/10095.\nAnswer: 23793915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from ehxeqyxeeveqeevee.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = -12*t + 30*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28417892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97.47 - -96. Let b = -1.5 - l. What is the second biggest value in 0.5, b, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865070853 divided by 3.\nAnswer: 288356951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5029*a**5*b + a**4*b**2 - 12*a + 2783*b**2 wrt a?\nAnswer: 100580*a**3*b + 12*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 4. Let g(o) be the second derivative of -o**2\/2 - o. Let r(w) = -22*w + 177. Let v be r(8). What is v*q(n) - 4*g(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:27 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717808*h**2 + 717808*h**2 + 7*h**3 - h**3 - 5*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(5*sqrt(5)) + sqrt(425) + -5 + (4*sqrt(833) - 5*sqrt(2448)))**2 + 3.\nAnswer: 268*sqrt(17) + 305952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)*k**(-1\/11))\/(k\/((k*k*k\/(k**8*k)*k)\/k*k)*k**(-3)))**26 assuming k is positive.\nAnswer: k**(-7384\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238760250?\nAnswer: 2, 3, 5, 318347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 3*k**3 - 28*k**3 - k**2 - 43*k**2 + 34*k**3 + 37*k**3 = 0 for k.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -161*r**4\/8 + 3*r**3 - 2988*r**2. Let k(x) = -138*x + 5. Give -5*d(v) + 18*k(v).\nAnswer: -69*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - (4 + (-26)\/4). Which is the nearest to -0.1? (a) 0.04 (b) k (c) 1\/5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 780.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5))\/o*o**5)\/((o*o*o**2*o*o)\/(o*o**(1\/9)*o)) assuming o is positive.\nAnswer: o**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = 3*v - 4*v, -v = -3621*f + 3616*f - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0634 * -4.\nAnswer: -0.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5550.6 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 378079410.9 to the nearest 10000.\nAnswer: 378080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 3 + 3)*(8*a - 9*a + 9*a + (3 - 3 + 1)*(0*a - a + 3*a) - a - 2 + 2) + (a + 5*a - 3*a)*(0*a + a + 0*a) to q*a + v + l*a**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.42904 - 78.7305. Let m = 7.361 - 0.061. Let i = m + u. Round i to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l**5\/160 - 61*l**4\/32 - 29*l**3\/8 + 45*l**2\/2 - 1891*l - 1. Let m(t) = 0. What is t?\nAnswer: -60, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357\/126*39\/9503\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 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: Three letters picked without replacement from {e: 1, n: 2, w: 12, b: 4}. Give prob of sequence nbw.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8\/17 (b) 0.3 (c) 1\/6 (d) 16 (e) -15\/8 (f) 247\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-202)\/(-4))\/(3\/6) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -255.3 < -108.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190 - 32*c**5 - 190 + (-c + 2*c + 0*c)*(-2 - c + 2)*(-2*c**3 + c**2 - c**2).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-635528)\/(-11560) + -140 + 85.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 3:48 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 - 54*s**3 + 256*s**3 + 13 - 13.\nAnswer: 209*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7c0656 (base 16) to base 8\nAnswer: -37003126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 539\/222 - 7\/74. Sort c, -2\/9, 0.1 in increasing order.\nAnswer: -2\/9, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/(-2)*(-342)\/27. Let s = -476 + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10052*y**3 - 8*y**2 + 16*y - 16. Let l(m) = 6702*m**3 + 5*m**2 - 10*m + 10. Determine 5*h(v) + 8*l(v).\nAnswer: 3356*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**3 + g**2 - 9. Let o(v) = -18*v**3 - 2*v**2 + 14. Calculate -5*o(n) - 8*p(n).\nAnswer: -6*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -192698244 divided by 6?\nAnswer: -32116374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12949, -9203, -5495, -1843, 1735, 5221?\nAnswer: 8597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 86*c**2\/5 + 19016*c\/5 + 77376\/5.\nAnswer: -(c - 104)*(c + 4)*(c + 186)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbfbbbbfbbbbfbbbbbb?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 25*c**2 - 26*c + 12. Let h be z(-24). Calculate the highest common divisor of h and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -18 (b) 3\/16 (c) -1.8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:44 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 143 - 49 = 0. Let j = 5 - 9. Let i be j\/12 - m\/(-6). Solve 0 = u - 2*b, 4*u - 2*b + 4 = i*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/99 and 74\/28773?\nAnswer: 316503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose 6*c - 11*c - 150 = h. Is 596\/10 - (-18)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 4 (c) 617 (d) 2 (e) -3\/56 (f) -2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*a**2 + 3)*(21 - 6*a - 21) - 2*a**3 + 5*a**3 + a**2 - a**3 in the form y*a**3 + c*a**2 + i + t*a and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 1953.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.02 (c) 0.3 (d) 10 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -331222403 (base 5) in base 12?\nAnswer: -58b480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z = 82*z + 217806. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/11)\/((i**(17\/4)\/i)\/i) assuming i is positive.\nAnswer: i**(-115\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001428 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-6 - 19)) + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.2. Let g = -0.034 - -4.934. Let f = g - 5. What is the closest to a in f, -0.4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Suppose 0 = -6841*y + 6828*y - 13. Let u(b) = -b**2 - 5*b. Determine y*u(q) - 4*h(q).\nAnswer: q**2 + q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/4)\/(14\/(-268)) and (-366)\/54*(-6)\/(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, p: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564705197*y**2 - 779205770*y?\nAnswer: -1129410394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/2 + 13411*m**2 + 3734755*m\/2 - 9672225 = 0.\nAnswer: -26682, -145, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3))**(-41))**25)**(-32) assuming q is positive.\nAnswer: q**(65600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -433565 (base 7) in base 15?\nAnswer: -176a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 953*v - 15 - 546*v - 519*v.\nAnswer: -112*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-2)\/(-35)*-14 + -22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.25792 to two decimal places.\nAnswer: 32.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let v(w) be the second derivative of -3*w**3\/2 + 59*w**2\/2 - w + 53. Let a be v(6). Solve a*c + 4*j - 45 = 0, -2*c - 2*c + 3*j = -i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 40*p - 43*p = -20, -4*f - 3*p + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcxkzzzozcc. What is prob of picking 1 c, 1 z, and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -65*i**2\/2 + 2*i + 2. Suppose 2*y + 2 = 4*n, -2*y - 10 = 3*n - 1. Is m(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30942.7856 + 32292.7855441. Let g = -1350 + c. Round g to 6 dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 9883.85?\nAnswer: 49419.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13994 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120240 (base 5) in base 3?\nAnswer: -1000112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19991 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let k(c) = -4*c + 47. Determine 2*d(g) + k(g).\nAnswer: -2*g + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4675214 - 4359*a - 4675214 to the form c + z*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14722 (base 8) in base 14?\nAnswer: 25a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 8*w - 4. What is the remainder when ((-700)\/(-200))\/(7\/74) is divided by y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 145, 331, 581, 889, 1249?\n\"Answer: -t**3 + 41*t**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3056906.\nAnswer: 2, 17, 89909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 140*p - 9143*p - 1074*p)*(0*p**2 - 4*p**2 + 2*p**2) as n*p**3 + y*p + d + w*p**2 and give n.\nAnswer: 20154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 16 + 14. Solve d*n + 6 = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/7 - 8*s**4\/7 - 10*s**3\/7 + 40*s**2\/7 + 8*s\/7 - 32\/7 = 0. What is s?\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1046 and 4358159?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8992.525 days?\nAnswer: 776954160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 46, -47 in descending order.\nAnswer: 46, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/36 + 1\/36. Let q(l) = -l - 11. Let r be q(-13). Calculate the common denominator of c and (6\/(-36))\/(r\/(-218)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 91*c + 12 = 93*c, 10 = -5*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 9 - 73*r**2 + 58*r**2 + 2*r - 52*r**2. Let m(j) = 34*j**2 - 4. Let i(p) = -5*m(p) - 3*n(p). What is the first derivative of i(w) wrt w?\nAnswer: 62*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301032213 - -1211?\nAnswer: 1301100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3547842\/(-339687))\/((-4)\/(-54))\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37222 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 2*w - 46, 5*w + 5 = -3*i + 7*i. Solve 3*c - 3*f - 18 = 0, c + 5*f + 1 + i = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4730 and 10137.686?\nAnswer: 5407.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g - 22*g + 45*g + 44*g.\nAnswer: 98*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 0*l**2 - 2\/65*l**5 + 0*l**3 - 1\/26*l**4 + 0*l + 19. Factor o(j).\nAnswer: -2*j**3*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8591156*a**5 - 4852493*a?\nAnswer: -171823120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -52. Let l be ((-80)\/s + 8)*(-1)\/4. Solve -l + 17 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 30 + 23 + -23 + -67?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333567 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 822812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14)\/o)\/o**(3\/2))\/(o\/o**(2\/13))**(-1\/64) assuming o is positive.\nAnswer: o**(-13717\/832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*j - 14, 0 = 3*j + j - 2*k - 2*k + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1*(-182)\/21. Let x = -25 - a. Let l(m) = 12 + 7*m - 22 + x - m**2 + 5. Calculate l(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*q*z**5 + 3*q*z**3 - 5*q*z + 11*q - 3*z + 2 wrt z.\nAnswer: 8620*q*z**3 + 18*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + ((sqrt(75) + 1 + sqrt(75))**2 - sqrt(3)) + -3*(1 + sqrt(3))**2).\nAnswer: -289 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 8*b = i + 23036, 0 = 2*b - 2*i + 23048. Round b to the nearest 100.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331 + 0.105\nAnswer: 331.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/37? (a) 0.3 (b) 11 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3672859km to millimeters.\nAnswer: 367285.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 10:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 528 - 88. Suppose -2*u + y = 2*u. Let l = u + -97. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - p - 4. Calculate t(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-12)*f**(2\/9))**50\/((f**(-5)\/(f\/f**(-1\/8)))\/(f\/(f**(-2\/19)\/f)*f\/((f\/(f**(1\/3)*f))\/f))) assuming f is positive.\nAnswer: f**(-654349\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 5*r - 4*d + 44, 5 = -5*r - 15*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1501515 or -1501519?\nAnswer: -1501519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 y when four letters picked without replacement from {d: 1, q: 2, n: 6, y: 2, m: 1, v: 3}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 - 113475*s + 1587670 = 0. What is s?\nAnswer: 14, 22681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 + 9*i - 3. Let n be s(8). Suppose -d + 2 = -v - 1, -4*v - n*d = -33. Solve v = 2*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140780, 282531, 424282, 566033?\nAnswer: 707784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 5) in base 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 85 = -5*f, 0 = 66*r - 67*r - 5*f - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225\/181 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 330561064 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11810 - -11852. Solve -l*i = -60*i + 126 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 53*d**3 - 1323*d**2 + 1683*d - 416 = 0. What is d?\nAnswer: -32, 1\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 12*p - 52. Let d be o(-4). Suppose 0 = 30*g - 33*g + d. Solve 5*m - 2*u = -0*m + 2, -g*m - 4*u - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6 - 5 + 0 + i**3 + 10*i**2 + 7*i. Suppose -114*m + 19*m - 599 - 256 = 0. Determine d(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 577*o - 8 - o**3 - 4 - o**4 + 577*o to d*o**3 + y*o**2 + j + c*o**4 + k*o and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*c - r + 538, 0 = -5*c - 3*r + 659. Let q = c + -16. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -2, 4, 1, 935, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**3 - 69*r**3 + 30*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011001010 + -101101?\nAnswer: -100110011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46552 less than -4?\nAnswer: -46556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 6*l**2 + 332*l + 80*l.\nAnswer: -6*l**2 + 412*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 572177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) 6\/1285 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + (-9 - (-7 - -8)) - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 47441457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/5 (b) 3\/19 (c) -21272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47264 divided by 1.\nAnswer: -47264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(21\/14 - 0). Which is the closest to y? (a) 0.2 (b) -5\/2 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010249981078 rounded to seven dps?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/8 + 2*j**2. Let m be 10\/(6\/(-3)) + -2. Let s(r) = 5*r. Let q(k) = m*h(k) + 4*s(k). Let i(u) = 3*u. Calculate q(i(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:25 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 11. Let b be p(5). Let w be (-57)\/b - 2\/(-7). Find the second derivative of 41*s - 38*s + w*s**4 + 2*s**5 - 3*s**4 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1348517 to 3 dps.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - -17 - (84 + -66).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.502*-0.1366\nAnswer: 0.0685732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/3*(-1890)\/648*4\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*f + 5 = 8, -5*f - 4 = -4*w. Differentiate 36*v**4 + 6 - 2 - w - 17 with respect to v.\nAnswer: 144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1. Let c(u) = -u + 2. Let k(o) = -c(o) - 4*j(o). Let y(l) = -l + 15. Let q be y(17). What is k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*j**2\/17 + 3886*j\/17 + 144\/17 = 0. Calculate j.\nAnswer: -1\/27, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100 (base 2) in base 16?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124657722 divided by 7?\nAnswer: -17808246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1311 and -80\/1311?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, -290, -769, -1268, -1793?\nAnswer: -2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 2035967*l**2.\nAnswer: l**2*(l - 2035967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((3648\/(-72))\/38) + 93\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 9 = -d. Let v = d - 13. Calculate the common denominator of -137\/12 and ((-22)\/(-60))\/(v\/(-12)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*p**2*s**3 - 239*l*s**3 - 2*l*s**2 - 3*l + 2*p**2*s**3 - p**2 + 3*s**2 wrt s?\nAnswer: 12*l*p**2 - 1434*l + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*-1*sqrt(12))\/sqrt(6) - (1 + sqrt(6050)))*3)**2.\nAnswer: 1008*sqrt(2) + 56457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 19.87.\nAnswer: 21.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399\/176 + -3\/176. Let m = -47357\/12 + 3940. What is the common denominator of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 24. Suppose -3*x - 3 = b - n, b = 3*x - 3. Let a = x + 24. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-2\/39))*i*i**(1\/10))\/(i**(-1\/7))**(-43) assuming i is positive.\nAnswer: i**(-16637\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560476 at most as big as 6560477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 6*m - 5. Let t be g(-5). Let y(x) = -x**2 + 18*x - 15. What is the units digit of y(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 10. Suppose 2 = -t + n, -4*t - c*n = -5*n + 10. Let d(i) = 4*i + 6. Give d(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(208)) - ((-1*sqrt(208) + sqrt(208))*1 - sqrt(208)))*2*-3)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3160*c**5 + 2*c**2 - 4 wrt c.\nAnswer: -189600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1215\/4*h**4 - 1\/84*h**7 + 0 + 3\/4*h**6 + 0*h - 81\/4*h**5 - 10935\/4*h**3 + 21*h**2. Factor d(w).\nAnswer: -5*(w - 9)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.4, -1\/3, 7132955, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 793 - 5608111*v - 3*v**2 + 5608110*v - 1 + 1 - v**2 + (-2*v + 2*v + 2*v)*(-3*v + v + v).\nAnswer: -4*v**2 - v + 793","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 1181100?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -21 (b) 0.1 (c) 2\/9 (d) 1\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 3*w - 4. Let o(n) = -n**2 - 7*n + 3. Let r = 37 + -43. Let k be o(r). Calculate the remainder when x(k) is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 13931. Let r(g) = g**2 + 39. What is i(r(q))?\nAnswer: 3*q**2 - 13814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223 (base 15) in base 16?\nAnswer: -f12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 70*t + 507. Let p be n(11). Solve 108 = 8*y + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 92*v + 84. Let o(d) = d + 4. Let g(f) = -2*o(f) - y(f). Find t such that g(t) = 0.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. Let f be -3 + h + -1 + 0. Let t be 0\/3 - -3*1. Solve 3*o + 12 - t = f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.931*0.2.\nAnswer: -0.3862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132 and -1.543.\nAnswer: 203.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.418 - -0.018. Let l(f) = -f**2 - 5*f - 3. Let s be l(-3). Suppose 9 = -0*y + s*y. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 4*n + 10. Let c be m(-7). Let o(r) = r**3 + 12*r**2 + 10*r + 5. Does 8 divide o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109894 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90824.75mg in kilograms?\nAnswer: 0.09082475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5*n - 8 + (-2 + 3 - 2)*(4*n - 4*n + 2*n) + n - 6*n + 3*n to a*n + o and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16951 - 16950.1147. Round r to 2 decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18779*-82.\nAnswer: -1539878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5662, -18972, -41152, -72202, -112122, -160912, -218572?\n\"Answer: -4435*m**2 - 5*m - 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 725231276 to the power of 1\/2, to the nearest integer?\nAnswer: 26930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 5674 + 5679 - 11349 - 8*b**3. Let r(k) = -k**3 - k + 1. Suppose 4 = -2*h + 2*x + 12, 0 = -3*h - 5*x - 12. Calculate h*u(p) - 4*r(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -1\/60*w**6 + 5\/12*w**4 - 1\/105*w**7 + 0*w + 0 + 1\/10*w**5 + 9*w**2 + 2\/3*w**3. Factor y(c).\nAnswer: -2*(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*d**2 + 3)*(1038 - 977 - 1199 - 1503).\nAnswer: 7923*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.11, -73, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2293*w + 77520. What is v(-34)?\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 64644 = 212*m - 210*m, v - 4*m = 32316. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 4.1?\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 286*j**3 - 844*j - 899. Find the first derivative of g(f) wrt f.\nAnswer: 1716*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 + 359 + v**4 - 7*v**2 - 12*v**3 + 2*v - 358 + 2*v to the form n*v**2 + b*v**4 + u*v**3 + h + a*v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 6}. Give prob of sequence pz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 2. Let h(f) = 4*f**2 + 48*f - 51. Let s(j) = h(j) + 3*o(j). Let r be s(-14). Solve 2*l - r + 1 = -4*y, -l - 3*y = -7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 198 = p. Let z = -58 - -163. Let t = p + z. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8725.838 days?\nAnswer: 753912403200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 565658040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let p = 27.5 + -3.5. Suppose -828*d - c + 18 = -826*d, -12 = 2*d - 2*c. What is the third smallest value in p, o, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/1486 + 16123\/154544. What is the common denominator of x and 43\/32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2120\/(-75) + -44*(-44)\/7260?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z + 0*z**6 + 0*z**5 - 1\/2*z**3 + 0*z**4 + 0 + 2\/21*z**7 - 12*z**2. Differentiate t(y) with respect to y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3809 - 3808.6. Sort -0.2, n, 1, -0.4, 12.\nAnswer: -0.4, -0.2, n, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 3. Sort -5, z, 5 in ascending order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97634?\nAnswer: 2, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/1171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) -9 (c) -0.3 (d) 2.6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 23*u**2 + 2*u + 16. Let r be v(-23). Let j = 370 - 120. What is the tens digit of (j\/r)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -262\/5, -0.1113, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 0. Suppose z*u = -u + 74. Suppose 0 = 5*y + 2*q - 23 - 127, -2*q - u = -3*y. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -17)*(-2 + (-4)\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -12 (c) -281 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128958, -516466, -1162312, -2066496, -3229018, -4649878, -6329076?\n\"Answer: -129169*o**2 - o + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*44010\/(-140) - 2\/14.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4616133595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 5 - 5 + 0.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30, 57, 84, 111, 138?\n\"Answer: 27*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(1 + sqrt(396)))**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 592.59+0.8384\nAnswer: 593.4284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124 is divided by 191?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 1}. What is prob of picking 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 15*n - 31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c, m + 3*c = 39 - 17. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*m + 14, -4*m - 8 = -2*k + 4. What is the first derivative of 7 + 7*j**k + 40*j + 35*j - 78*j wrt j?\nAnswer: 14*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (140\/8)\/5*2 + 0 and 2*-1 + (-5)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 6. Let j be h(8). Suppose 2*u - 8 = -j*u. Differentiate -m**2 + m**3 - 3 + 3*m**2 - 2*m**u wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1512, -5, -3, 3, 9 in increasing order.\nAnswer: -5, -3, 3, 9, 1512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2202 + -1?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21839 and -3.\nAnswer: -65517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-35) - (-16)\/(-7). Let l = 8 + o. Is (16\/l + 0)*3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*i - 16 - 14, 5 = 3*i - 2*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 - 112*u**2 + 5943082*u - 5943082*u + 3 - 4*u**3 as o*u**3 + n*u**4 + v*u + z*u**2 + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 843331286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.9 + 0.9. Let p = -5 - j. Suppose 13 = -o - 2*h + 5, -5*o = 2*h + 16. Put p, o, 4 in descending order.\nAnswer: 4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -690895\/42 + 16452. Calculate the common denominator of 7 - (71\/18 - 1) and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25579 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 304765 - 4?\nAnswer: 304761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9245 + -3.9. Round p to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p + 20. Let n be a(1). What is the second derivative of 22*t**5 - 62*t**2 + n*t + 62*t**2 + 0*t**5 - 2 wrt t?\nAnswer: 440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -21. Suppose s*y = 3*y. Suppose 7 = a + 3*g, -3*a + 0*g = 2*g + 7. Sort -1, a, y in decreasing order.\nAnswer: y, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:50 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -106*t**2 + 112*t**2 - 52 - 37 + 23*t - 19 - t**3. Let f be y(7). Solve -f*i - 2*j = 24, -3*i + 6*i = -2*j - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12*3)\/((-2)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3009 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 0.04, 2597?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33770 and 21490?\nAnswer: 236390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14555 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 2*f + (1 - 7 - 7)*(0*f - 5*f + 4*f) - 2 + 2 - f)*(-3*f - f + 8*f)*(-4 + 2 + 5).\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27 - (-4)\/1) + -1 + 1. Let s = -6 + 11. Solve -p = -s*z - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (2*-3)\/2. Suppose -4 = m*y, f + y - 67 = -2*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217237 is divided by 532.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + 603. What is the lowest common multiple of f and 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 105*t - 759. Determine d(5).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*f**2 + 86*f**2 - 154*f**2 + 47*f + 125 with respect to f.\nAnswer: 6*f + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34506 or 34504?\nAnswer: 34504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 4*g**2 + 5*g + 2. Let c be h(-5). What is the third derivative of o**6 + 4*o**c - 2*o**2 + o**6 + o**6 wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -5 (c) 41\/2 (d) 7300 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18768\/1493 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4901*-3325\nAnswer: -16295825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/30*(-25)\/4 + 4. Let f be 10\/7 - 64\/(-112). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 554103?\nAnswer: 1108206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/111 - -14935\/222. Is r greater than 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53265 - 53222.9945. Let a = h - 42. What is a rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.036655 + -109.194\nAnswer: -109.230655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*f + 151*f = -169*f - 267 - 693 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.011 + -3.011. Which is the third biggest value? (a) 0.3 (b) 15 (c) z (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2. Let q be -4*3\/(-12)*0. Suppose 4*y - 3 - 5 = q. Let t(o) = -16 - 3*o**2 + 16 + 2*o**y. Give t(d(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -667*g**3*t**3 + 2*g**3*t + 3*g**3 + 40 wrt t.\nAnswer: -4002*g**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2896902320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132))\/sqrt(6))\/(2*sqrt(11)*2).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*i - 2*i**2 + 142*i + 149*i - 21 - 526*i + 87*i.\nAnswer: -2*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7408340 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: Let c = 479259 - 2251293. Let p = -987966 + c. What is p rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-612)\/(-6) - (3 - -2) is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 509319, 1018728, 1528127, 2037510, 2546871, 3056204, 3565503, 4074762?\n\"Answer: -j**3 + j**2 + 509413*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1317622 or 1317933?\nAnswer: 1317622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232288750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45332 (base 10) in base 12?\nAnswer: -22298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16704 = -9*r - 5643. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362663 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*(m**(-1\/2)\/m)\/m*m**(-4\/3)\/m**(-8)*m**3*m*m\/m**(-6\/5)*m*(m\/(m*m\/(m*m**(-1\/3)*m)))\/m*m*m*m**8 assuming m is positive.\nAnswer: m**(781\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 438 - 437 - 5*f**2 - 2*f. Calculate w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**7\/126 + 91*a**6\/90 + 110*a**5\/3 + 484*a**4\/3 - 4367*a - 2. What is s in z(s) = 0?\nAnswer: -44, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3437, -3454, -3515, -3644, -3865, -4202, -4679, -5320?\n\"Answer: -4*v**3 + 2*v**2 + 5*v - 3440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134978693 to the nearest integer?\nAnswer: 11618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -11?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-76650)*-73 + (-148)\/42 + -2\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 2, w: 1, s: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 + 11*i**2 - 8*i - 331. Let v(m) = -4*m**2 + 3*m - 2*m**2 + m**2 + 4*m**3 + 110 + m**2. Let y(r) = -3*f(r) - 8*v(r). Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 5, -0.07, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**1\/n))\/(n**4\/n))\/(n**3\/((((n\/((n*n**(-2\/7))\/n))\/n)\/n)\/n))*(((n\/(n\/n**(1\/2)))\/n)\/(((n*n*(n\/(n*n**0*n))\/n)\/n)\/n))**(3\/34) assuming n is positive.\nAnswer: n**(-3133\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565876 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142873.\nAnswer: 3, 457, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 100*o - 69. Let d(b) = 98*b - 85. Determine -5*d(m) + 6*n(m).\nAnswer: 110*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - z + 0*z)*(-4 - 6 + 8)*(0 + 3*z**2 + 0) to f*z**3 + q*z + i + r*z**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -275\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(931) + 1 + sqrt(931) + 1 + 5)*-6*-1)**2.\nAnswer: 254016*sqrt(19) + 4889808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16*d = -19*d - 63, 2*x - 69 = -3*d. What is the remainder when 83 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c - 64. Let p(y) = 7*y - 20. Let f(g) = 5*n(g) - 16*p(g). Let o(t) = -40*t - 64. Let r(b) = 3*b + 5. Let a(v) = 5*o(v) + 64*r(v). What is f(a(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5974303, -5974304, -5974305, -5974306, -5974307, -5974308?\n\"Answer: -h - 5974302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 9*q + 12. Let r be i(10). Which is the closest to -2\/5? (a) 1\/6 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**3 + 4*d**2 + 8*d - 4. Let q(v) = 33*v**3 + 7*v**2 + 15*v - 7. Let w(h) = -7*b(h) + 4*q(h). Find the second derivative of w(c) wrt c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, -3, -0.07, -110, -9?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86073618?\nAnswer: 2, 3, 17, 37, 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5 + 55*i)*(3*i**2 - 2*i**3 - 3*i**2).\nAnswer: -110*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (1 + -1)\/2. Suppose -2*z + 4*s - 1 = 5, 4*z = 5*s. Suppose -250*r + 125*r + 6 = -128*r. Sort -3, z, r, k in descending order.\nAnswer: z, k, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1801*h**4 - 300*h**3*n + 49299*h + 9*n + 4 wrt h?\nAnswer: -21612*h**2 - 1800*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12*o. Let i = -45 + 48. Let q(w) = 6*w**2 - 3*w. Let j(u) = 5*u**2 - 2*u. Let m(f) = i*j(f) - 2*q(f). Calculate v(m(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.072, -0.2, -3\/5, 0.1, 0.17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the ten thousands digit of 170614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/7)*u)**(-3\/13)*(u\/(u\/(u\/(u**(2\/3)*u))))**(-2\/7))**(-18\/13) assuming u is positive.\nAnswer: u**(102\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -30*o**2. Let w(m) = -2*m - 1109 + 1109. Give w(c(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6876*n**2 - 7 - 1751*n**2 + 935*n**2 + 7 to the form k*n + h*n**2 + f and give h.\nAnswer: 6060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -138238\nAnswer: 1\/138238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 6*v + 52, 0 = -v + p - 103 + 96 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + a - 10, k - a = -0 + 5. Solve k + 2 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1267195410 and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-3 - -3) + -8 - -2)) + -11 - -32.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 4*w**2 + w - 7. Let c be q(4). Let o be 8\/60*2751 - -2. Let r = 367 - o. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.9 + -34.9. What is the second smallest value in k, 13\/5, 0.6, 0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 4. Let i be d(4). Suppose 3*x + 15 = -i*x, -x - 57 = -2*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-7))\/2 + 304\/56. Suppose 0 = x - j*f + 17, x + 3*f - 11 = f. Suppose -2 = a - 1, -x*q + 784 = 5*a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) - 0 - (-19866)\/126 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2211*r + 12*r**2 + 743*r + 739*r + 744*r - 12 in the form t*r + g*r**2 + s and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/7 (c) -3\/127 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = -13, 0 = -5*v - 3*a + 4376. Let s = v - 877. Solve -3*i + 2 + 4 = s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geo when three letters picked without replacement from oeyoegnrn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*o + 1207*o - 592*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/16)\/((-2)\/(-20)). Suppose 0 = -14*q + 7 - b. Let v be 3 - (2 + (q - 1)). Solve -o - 2*l = 9, v*o - 3*l - 7 = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/8*6\/(-5). Suppose o = 1 - a. Let w = -0.1 + -0.9. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*y + 52*j**2 - 76*j*y**4 + 1 wrt y?\nAnswer: 3*j**2 - 304*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 233 + 505. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 17 - (2 + -10) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -28. Suppose 3*o - 4*v = 10, -7 = o + 5*v + r. Let q = 10232 - 10229. Which is the closest to o? (a) q (b) 5\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 13*b**2 - 16*b + 16. Give g(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11*2)\/(4*2\/(-12)). Suppose x*o - 38*o = -1640. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/162 - (-670)\/18. Suppose 472 = 5*v + p, 0 = -3*p - p + 8. Let y = v - o. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - 12*h**4 + 2*h**4 + (-4*h + 2*h + 4*h)*(0*h**3 + 2*h**3 - 4*h**3).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672 - -690. Calculate the greatest common divisor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from {c: 5, z: 2, r: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -13\/44020?\nAnswer: -13\/44020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 2*c - 6*c)*(284730*c - 284775*c + 61 + 34) to the form x*c**2 + i + k*c and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 468761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6618 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -98. Suppose 4*z - 851 = -s*u, -333 = -3*z + 3*u + 300. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48336 and 14302896?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 1 + 31*s - 3*s - 13*s - 6*s. Let p(f) = -25 + 39 - 2*f - 15. Give -4*p(u) - 3*w(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 27. Let r(g) = g**2 + 5*g + 2. Let o be r(d). Suppose 2*y - 5*x - 13 = 0, -3*y - 5*x + 10 - 3 = 0. Put 0, o, y in decreasing order.\nAnswer: y, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -68. Calculate the greatest common factor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-668)\/(-14529))\/((-4)\/6)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/3)\/(-1) + (-53)\/159. Suppose -z*i = -i + 5*k - 1, -4*i = 4*k - 4. Let n(s) = -s**2 + 8*s + 1. What is the least common multiple of i and n(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = p - 113 - 7, -9 = 3*s. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (21 - 36) + -90.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033332323 + 330?\nAnswer: 20033333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3105712, 6211693, 9317674, 12423655, 15529636, 18635617?\nAnswer: 21741598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/92)\/(4\/16)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 4)\/(-1 - 1). Let a be (18\/(-2))\/((18\/(-3360000))\/g). What is a rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.8, -17 in descending order.\nAnswer: 0.8, -4\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqszsrsrs. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/(m*m**(-24))*m**(-18)\/m**26)**(4\/13) assuming m is positive.\nAnswer: m**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102210121000 (base 3) to base 15\nAnswer: -48c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrydrrrrrrryrrrrrrry. Give prob of sequence yr.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 14) to base 11\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2159, 0, -3, 20768, 3 in descending order.\nAnswer: 20768, 3, 0, -3, -2159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:45 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1426 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15 + 0 - 22\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 7. Let k = -1271\/185 + 84\/37. Calculate the common denominator of (-1)\/6*(-267)\/v and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 77*g - 66*g - 4*g**3.\nAnswer: -10*g**3 - 143*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvl when three letters picked without replacement from vvvvyllvvvyvllvll?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 3. Suppose 0 = -l*s - 0*s. Suppose -4*b + 5*h = -5, b + s*h = 4*h + 4. Solve b*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -84. Let z be -1 - (-282 + 5) - a. Suppose -3*x + 82 - 7 = 0. What is the highest common divisor of z and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60578*t - 60578*t - 77*t**3)*(1 - 5 + 1).\nAnswer: 231*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7107.707 meters?\nAnswer: 710770.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026956848 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2811 + 2799 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621598392?\nAnswer: 2, 202699799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Let l be 4\/(-14) - 23\/(-7). Suppose -c - 1 = -2*p, -l*p - 3*c = 2*c + 5. Give y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/27)\/((-238)\/(-1071))*6\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398, 1368, 1280, 1104, 810?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*k + 12 = 0, -2*k - 2*k + 16 = 0. Solve 3*d = -4*j - 20 - 5, -5*d - 4*j - 31 = t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 + 0 - 36*k + 32*k + 8. Let p = -1 - 4. Let t be l(p). Solve -f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/24*37107\/38. Calculate the highest common factor of 15 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5596 - 3689. List the prime factors of q.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*k - 230 = 0, -5*c = k - 2*k - 405. Let d = c - 79. What is the biggest value in d, -3, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 2*h**4\/3 - 5*h**3\/6 + h**2\/2 + 2*h + 1. Let s = -1 + -3. Is i(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 11 + 238*u**2 - 236*u**2 to d + t*u**2 + k*u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6988028 and -0.1.\nAnswer: -698802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from xgxawvw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -492*f - 6898. Give y(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25366044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2064, 2113, 2170, 2229, 2284, 2329?\nAnswer: 2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:56 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 5213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 8*m - 3*m - 19, 0 = -3*t + 3*m + 3. Let c be t*((-10)\/28 + (-8)\/(-16)). Suppose -c*p - 1\/7*p**3 + 3\/7*p**2 + 1\/7 = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**2 + 83*t - 14. Let w be f(5). Sort w, 3, -1 in ascending order.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 718 + 5*(-2)\/(-5). What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 858 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22056*r = -22189*r - 2261 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531219361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + 38731?\nAnswer: 38758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -26\/9 (c) 1\/6 (d) 136 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80964 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -14524?\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19818399, -79273645, -178365729, -317094657, -495460435?\n\"Answer: -l**3 - 19818413*l**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6072*k - 6*k**2 - 4572*k + 10646*k.\nAnswer: -6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -219 + 64?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255a0 (base 11) to base 12.\nAnswer: 19264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (4155\/9)\/5. Let o = -69 - w. Let j = o + 1. Solve j = 4*t - 3*l - l, 2*t + l = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/65112 and -53\/21704?\nAnswer: 65112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/184 (b) 1.3 (c) 78 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221122 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:46 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:46 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -640 + 644. Solve 5*l - 14 = -x*g, l - g + 4*g = 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4 - 0) + (18 - 17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 234, 237, 240?\n\"Answer: 3*n + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 27 - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 580024239, 580024238, 580024237, 580024236?\n\"Answer: -l + 580024240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1299?\nAnswer: -1\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11506422 is divided by 987.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 2380.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*c + 75, 2*d + 126*c + 30 = 128*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7922\/9786)\/((-4)\/84)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25, 5\/2, 243?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose k*b = -1 - 14. Is (4 + b)*(35 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:06 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 53*v**2 - 2817*v + 14026. Give x(5).\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**7\/7980 + m**6\/1140 - m**4\/57 - 56*m**3\/3 - 29. Let n(t) be the third derivative of k(t). Factor n(x).\nAnswer: 2*(x - 1)*(x + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12536 + -12536.22. Are h and -3\/149 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/4 - (-13)\/(-52). Solve -21 = -o - 4*a, 0 = 4*o - 2*a + 3 + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*x + 139*x + 15410*x**2.\nAnswer: 15410*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -7, -3*g - q + 10 = 0. What is the second derivative of -7*l**2 + 4*l - 5*l**2 - 5*l**2 + 25*l**g wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*d + 812 = -142*d. Suppose -198*h = -d*h + 20. Solve h*k - 2*s = 18 - 0, -2*k - 6 = 2*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4354221 (base 6) to base 3\nAnswer: -102001012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, 99, 818, 1829, 3132, 4727?\nAnswer: 6614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115.3*-30.658.\nAnswer: -3534.8674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34612344 to the nearest integer?\nAnswer: 5883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - k = -5*n + 37, 5*k = 5*n - 25. Suppose 3*c = -3*g, 5*g = 3*g - n. Find the second derivative of -59*r**c - 8*r - 3*r + 60*r**4 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 128. Let x(n) = 10 + 4*n + 0*n - 22*n. Calculate the least common multiple of 22 and x(q).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(4\/9))**(-1\/10)*((n**(2\/13)\/n)\/(n**(-2\/9)*n*n))**(-30) assuming n is positive.\nAnswer: n**(92087\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*w = -22599, -2*x - 5*w = -7*w - 45216. Is x a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -187*b**2 - 440*b + 51. Calculate c(-3).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 6.676.\nAnswer: 33.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59436816 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-17))\/(46707\/(-13233650))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6167754?\nAnswer: 2, 3, 342653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 15*n**3 - 4*n**3 + 15401 - n**2 - 15401.\nAnswer: -25*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 79*d - 248. Let w be t(30). Suppose w*m + 20 = 327*m. Suppose 4*n + a - 25 + 9 = 0, 12 = 3*n + 4*a. Solve 0 = -n*p - 0*p - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 437714 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h, 0 = 3*g - 6*h + h + 10345. What are the prime factors of g\/50*50\/(-4)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p + 36*p - 69*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 24 = -8*d. Suppose 0 = d*f - 15 + 3. Solve -y + f*k = 4*k + 4, -2*y = 3*k + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 20\/3*w**3 - 2\/3*w**4 - 8\/3*w + 56\/3 - 14*w**2 = 0?\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7388 = v + 7386. Let n = 14 - 8. Calculate the least common multiple of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 - 392*d**2\/5 - 472*d\/3.\nAnswer: 2*d*(d - 590)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-15)\/(-6)) + -3. Let t be -2 + 2 + n\/1. Is (-7)\/t + 3\/5 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*u - 9 = 0, 0*a - a + 5*u = 1. Let z be 12*((-3)\/(-6) + a). What is the greatest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y + 4. Let u(l) = -2*l**2 - 19*l - 10. Let m be u(-9). Let n be c(m). Put -7, n, 4, -3 in decreasing order.\nAnswer: 4, -3, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -914 divided by -1\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-three eighths of a gram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 559 and 91?\nAnswer: 3913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 6 - 14 + (-4 + 4 - 1)*(0 + 1 - 3) + 7 - 4 + 0 + 0 + 0 + 2)*(2*t - 4*t + 0*t) in the form m + s*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 916 + -914. Solve m*r = 4*x - 3*r - 18, 3*r = -x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2015\/25 + 0 + 2\/5. Let f = 174 - j. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 9\/8 (b) -2796 (c) 1\/48 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -63*c - 5044. Let q be m(-82). Put q, -33, -3 in descending order.\nAnswer: q, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.017 - 8.417. Let t = -8 - k. Let f be 4\/6*(-3)\/7. Which is the smallest value? (a) f (b) t (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186589614*n*x*z + 1901*n*z - 521*n - 2*z wrt x.\nAnswer: -186589614*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -4 + 14 + 5 + -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 417\/695*(-1 + (-46)\/(-6)). Solve b*j + 9 = 2*c + 29, -6 = -2*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -3*k**5\/140 + 15*k**4\/28 - 75*k**3\/14 + 375*k**2\/14 + 17*k. Factor a(j).\nAnswer: -3*(j - 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -506, -472, -440, -410, -382, -356, -332?\n\"Answer: -u**2 + 37*u - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42320285 + 8?\nAnswer: 42320304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 126, 257, 388, 519, 650, 781?\n\"Answer: 131*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 - 2315*o**3 + 18845*o**2 + 2315*o - 18840 = 0. Calculate o.\nAnswer: -471, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 d when three letters picked without replacement from {f: 1, y: 2, t: 3, d: 3, p: 4, a: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 11*u - 3*u + 0*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98547 = 623*t - 611*t - 260373. What are the prime factors of t?\nAnswer: 2, 3, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 3*u**2 + 6*u + 5. Let q be f(-4). Let x be (-2 - -4) + (-2 - (q - -3)). Let j be (-378)\/78 + 5 + 37\/13. Solve x = -k - j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/2 - 1878432*c**3 + 1878429*c**2 + 1878432*c - 3756861\/2 = 0. What is c?\nAnswer: -1, 1, 1252287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1311\/138*90\/285\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Let k be n\/15*10\/4. Let m = 2.2 - 2.7. Put k, -4, m in increasing order.\nAnswer: -4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439.6742 seconds in minutes?\nAnswer: 23.99457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/24 + 833*y**3\/6 + 693889*y**2\/4 + 3*y + 723. Factor o(r).\nAnswer: (r + 833)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 291016 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-31 + (47 + -46 - -41))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o + 8. Let r be ((-12)\/36)\/(1\/(-6)). Let a be k(r). What are the prime factors of 151\/7 + a\/14?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388000000 rounded to the nearest one million?\nAnswer: 388000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*n + 103*n - 694 + 89*n - 173 + 110 with respect to n.\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-22)*6\/1. Solve 0 = 2*q + 2*z, 0 = -q + 4*z + r + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9620 = 1995*o - 1847*o for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60997 = -29*v - 14597. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 6. Let j be k(-9). Suppose 2*d - j*s = -2*d - 1, -2*s = -3*d. Solve -5*g = -m - 0*g - 23, -g - d = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221002122212 + 2?\nAnswer: -1221002122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) -5 (d) 57132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + 2 + -10 + (3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688 divided by -172.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*q - 8*q. Let w = -181350.9 + 181351. Which is the nearest to w? (a) q (b) -2 (c) 25 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1198 and 16174.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**5*u)**(-11) assuming u is positive.\nAnswer: u**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477426 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}