diff --git "a/data/dm_maths/full_data_1/1134_11255.jsonl" "b/data/dm_maths/full_data_1/1134_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1134_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 2635109501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 100. Calculate the greatest common factor of 176 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.162 and -49987.\nAnswer: -49962.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, a: 15}. Give prob of sequence zz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 6:07 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s + 9. Let y be w(-11). Let z(p) = p**3 + 6*p**2 - 7*p - 4. Let k be z(-7). Put y, 0, k in descending order.\nAnswer: 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(2\/11)\/w))\/w)\/((w\/w**(-2\/3))\/w)*w**(-3\/4)*w*w**(-2)*w)\/(w**(-1\/5)*w**(-2\/7))**(-1\/9) assuming w is positive.\nAnswer: w**(-9043\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 - 12*t**2 + 6. Let c(n) = -n**4 - 11*n**3 + 23*n**2 + n - 12. Let d(o) = o**2 + 5. Let l be d(0). Let m(b) = l*v(b) + 3*c(b). Factor m(w).\nAnswer: -3*(w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -337, -513, -693, -877, -1065?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6\/11))**(-9)*j*(j\/(j\/(((j*j**(-2\/7)*j)\/j)\/j)))\/j*j**(-2\/23))**(-43) assuming j is positive.\nAnswer: j**(-345462\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936700, 936617, 936534?\nAnswer: 936451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(sqrt(500) + sqrt(500)*2 + 2) - (1 + (0 + sqrt(500)*1 - sqrt(500)))))**2.\nAnswer: 1200*sqrt(5) + 112516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1458703 and -1458785 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2346480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**15\/g)*g*g*g**(-1) assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.81, 0.536, -0.2, 0.4, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1187*k**2. Let c(x) = -73228*x. What is l(c(y))?\nAnswer: 6365097561008*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 4*j + 12, 2*q + 5406*j - 5403*j - 23 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120\/64*(-400)\/75\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - sqrt(220)*1)\/sqrt(4))\/(sqrt(176) + 1*sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.08 + 617.92. Let x = f - 622.000008. Round x to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 370445827 - 203415827. Round s to the nearest 1000000.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + ((sqrt(68) + (sqrt(68) - -6*(sqrt(68) - sqrt(68)*1)) - sqrt(68))*-4)\/(sqrt(8)\/(sqrt(2) + -5*sqrt(6)\/sqrt(3))))**2.\nAnswer: 128*sqrt(17) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -864872877942 and 206.\nAnswer: -864872877736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 12. Let f(q) = -5*q**2 + 4 + 0*q**2 - q**3 + 2*q**2 + 2*q + 0*q. What are the prime factors of f(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1812194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16228959 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 5354?\nAnswer: 803.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*n**3 + 30*n**3 + 80*n**3 + 30*n**3.\nAnswer: 102*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1259, 2514, 3771, 5036, 6315, 7614, 8939?\n\"Answer: t**3 - 5*t**2 + 1263*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1939, -2431, -2923, -3415, -3907, -4399?\n\"Answer: -492*l - 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*x = 0, 3*s + 10*x - 9*x = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28859*m**3 + 2*m**2 + 30688 wrt m?\nAnswer: 173154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 4. Suppose 0 = -5*z + 2 + 18, -c*a + 28 = -z. Let i = -8 + a. Put i, 2, 5 in increasing order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuuuiiiiiiiiuuii. Give prob of sequence uiiu.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 89*r - 4936. Calculate j(56).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 9*c**5\/5 + 48*c**4\/5 - 91764*c**3\/5 - 122502*c**2\/5 + 79551*c - 183546\/5 = 0.\nAnswer: -103, -3, 2\/3, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 10\/13 (b) 5 (c) 16\/143 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, h: 4, m: 1, z: 4, t: 3}. What is prob of sequence mbz?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 2*r**3 - 4*r**3)*(4*r + r - 6*r) - 11*r**2 + 2*r**4 + r**3 - 162*r + 162*r.\nAnswer: r**4 + r**3 - 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (1 + (-1)\/3)*(-50 - -107)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.408 - -24.308. Let n = -24 + y. Let d = 0.1 + 0.9. Sort d, -2\/5, n in decreasing order.\nAnswer: d, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62529410*j**2 + 6950541*j wrt j?\nAnswer: -125058820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -70*l - 86. Is 32 a factor of z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 s when four letters picked without replacement from {w: 3, t: 1, x: 1, s: 11, c: 2}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/757 and -41\/135?\nAnswer: 102195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 5*w**2 + 4*w - 1. Let f be c(-5). Let i = f - 23. Suppose -29 = -53*j + 1084. What is the remainder when i is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 14. Let c be i(8). Suppose 2*q - 148 = -3*k + 153, -3*q = -k + 104. Let l = k + c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -208, -181, -120, -13?\n\"Answer: 2*g**3 - g**2 - 6*g - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/5 - 118*k**4\/5 - 22*k**3 + 70*k**2 + 112*k\/5 - 232\/5 = 0.\nAnswer: -58, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174907326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13679, 27343, 41019, 54713, 68431?\n\"Answer: o**3 + 13657*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/((-2)\/(-5)). Let v = -4 + 3.47. Let n = v + 0.13. Put n, -5, l in ascending order.\nAnswer: -5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 38 = -11*u. Calculate the highest common factor of 504 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964604 divided by -241151?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-42) + 1\/(-2))*-9. Suppose 0*o = o. Solve -n*i = -o*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * -6553.\nAnswer: -11795.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 323.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.846 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 864 + -319. Let z = 542 - r. Let u(i) = -2*i + 1. Calculate u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 342\/14) + (486 + -458 - 600\/21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 - 126. What is the greatest common factor of v and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let v be (0 - 0)\/(5\/o). Which is bigger: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 29, -63, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.4 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2509243.\nAnswer: 11, 228113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224440?\nAnswer: 2, 5, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, l: 1, b: 1, x: 2, u: 1}. What is prob of sequence loub?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2)\/(-1 + -1)). Suppose -3 = -r*i - i. What is the second derivative of -h - i*h - 2*h**4 - 2*h**4 wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:49 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:03 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f + 5*g - 35, 3*f = -2*g + 40. Suppose -u = u - f. Suppose -2*j + 568 = -u*c - 370, j - 3*c = 469. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17324841 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/27)\/(k*k\/(k**(-1\/7)*k)*k*k))\/((k\/k**(-1\/8)*k*k)\/k**5))\/(k**(-7)*k*k**(2\/9)\/k*k*k**(3\/5)*(k*k*k**(-7)*k)\/k) assuming k is positive.\nAnswer: k**(66799\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 5*q - 5*q - 2 + 14*q**2 - 6*q + 2*q. Is m(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(20\/1*18\/(-48))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -520 - 35583?\nAnswer: -36213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 43*o**2 + 336*o**2 + (2*o + 0*o + 0*o)*(-5 - 2*o + 5).\nAnswer: 375*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:04 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -v - 4*v. Let l = v + 28. Let m = l - -44. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 - 6*r + 10. Let x be l(-7). Suppose 23 + 30 = 5*o + 4*y, 68 = 5*o - y. Solve -5*s = x*i - o, -s = -5*i + 2 + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/300*(-30)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 359.358g?\nAnswer: 359358000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12099, 12079, 12059, 12039?\n\"Answer: -20*p + 12119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than -438\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 400*o*q**3 + 665*q**3 wrt o.\nAnswer: 400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 34*t + 17. Give w(-16).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281420 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-24))\/((-2)\/(-6)). Suppose 0 = f - 0*f - 3*z, -y*z = -3*f + 15. Calculate the remainder when 24 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iti when three letters picked without replacement from {t: 3, e: 2, i: 3, c: 2, v: 6}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, v: 5, k: 4, c: 3}. What is prob of picking 2 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(12) - sqrt(192))\/sqrt(6)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/4 - 2*d - 88. Let c(l) = 59*l + 0*l - 68 + 68. Calculate s(c(j)).\nAnswer: -10443*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4899, 9802, 14677, 19506, 24271, 28954?\nAnswer: 33537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4570*s - 4500*s = 522 + 1508 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546510 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 27 - 22 + 10887*d - 10884*d - 5. Let j(f) be the third derivative of -21*f**5\/20 - f**2. Give q(j(w)).\nAnswer: -189*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-84240)\/(-104))\/27)\/((-108)\/16)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -3 - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -5*sqrt(76)*-4)\/(sqrt(256)*3 + sqrt(256)).\nAnswer: 21*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 0, -0.4205, 2\/13, -2, 5?\nAnswer: -0.4205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16787 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, 3, 2\/13, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111949?\nAnswer: 111949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8884 is divided by 4429?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 682353*i**3*v + 2*i**3 + 297818*i wrt v?\nAnswer: 682353*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 + 13*n + 10. Let r be z(-7). Round r to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = 256 - 11. Let c(x) = -9*x**3 - 7*x**2 + 7*x - 45. Let j(y) = -4*y**3 - 3*y**2 + 3*y - 23. Give w*j(a) + 3*c(a).\nAnswer: a**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -319832?\nAnswer: -319831.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/4 + 20\/(-9). Let r = 1.1 - 0.1. Which is the nearest to i? (a) r (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -855156 divided by 5\nAnswer: -855156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -113?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 + -2 - 1) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043133 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10)*9\/4*10. Suppose o - 43 = -5*l. Suppose -345 = -l*i + 25. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 4 (b) 5812 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, -2.52, -1\/15, 6\/31?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -20. Let o be (1\/1)\/((-1)\/(-5)). Let x = 7 - o. Solve 2*t + 5*b - 18 = 0, n = x*t - 3*b + 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -122\/11 (b) -8601 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + r = -b + 7, 4*b = -5*r + 11. Suppose 7 = -4*p + b*x + 71, x = -5*p + 98. Suppose p = k - 60. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1243*r**2 + 1829*r**2 + 563 - 3071*r**2.\nAnswer: r**2 + 563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.00469984 - 0.56?\nAnswer: -90.56469984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 2*t**2 + 4*t - 15739. Let f = 4 - 6. What is n(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.497775 nanograms in grams?\nAnswer: 0.000000003497775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 7701584.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15714)\/21825*4\/(60\/25)*435\/9?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -268, -378, -468, -532?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 36, 69, 124, 207, 324, 481?\n\"Answer: f**3 + 2*f**2 + 4*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)\/((m\/(m\/m**7))\/m)*(m*m**(-2\/7)*m*m)**(-37)*(m**(-2\/23)*(m\/(m**(1\/4)*m*m)*m)\/m)\/(m\/m**(-2\/5))**(1\/48) assuming m is positive.\nAnswer: m**(-45739777\/425040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 150. Let w = c + -89. Let o be 16 + (-3)\/(-3)*-3. What is the highest common factor of w and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 10\/(-4))*-10. What is the third derivative of -2*m**2 + m**5 + m**2 - 2*m**2 - 3*m**d wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-42)*c**(3\/4)\/(c*c*c\/c**7)*((c*c**(-3\/7))\/c**(2\/11))**(19\/4) assuming c is positive.\nAnswer: c**(-10903\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(4 + (3 + sqrt(7) - sqrt(7)))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 107*o + 38 - 18 - 856*o as r*o + u and give r.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*u = -54, 5*h + u + 279 = -0*h. Let z = h + 68. Calculate the smallest common multiple of z and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*l + 214 = 868*l - 248 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*p**2 - 1445*p - 242320.\nAnswer: 40*p - 1445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*g**3 - 71*g**2 + 14*g.\nAnswer: -g*(g + 2)*(39*g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*z - 27 = 681*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 1 - 77*x + 77*x - 143511*x**3 + 2.\nAnswer: -143511*x**3 - 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - -132. Suppose -4*h + 4*o + c = 0, -4*o = 4*h - 6*o - 150. Calculate the lowest common multiple of 6 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*g + 828 = -275*g. What is the remainder when 2205 is divided by g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -658*-0.02\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 5, r: 4, n: 1, m: 5}. Give prob of sequence rn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/((-1100)\/(-2970)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*n**2 - 122*n**2 + 160*n**2 + (-2 + 2 - 2)*(-n**2 - n + n) + 0*n + n**2 + 0*n + 2*n**2 + 3*n - 3*n.\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 69\/9 - 8\/(-2))\/(2430\/4374)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(250)*5)\/sqrt(5) + 1 + sqrt(50) + sqrt(250)\/(sqrt(5)*2))**2.\nAnswer: -35*sqrt(2) + 1227\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c).\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4\/5 + 6*w**2 - 27\/5 = 0?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -677 (base 9) to base 3.\nAnswer: -202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*o**5 - 315*o**4 + 423*o**3 + 1371*o**2 - 2376*o + 972.\nAnswer: -3*(o - 1)**3*(5*o + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u. Let z(m) = 11*m - 4. Let j(g) = 2*g - 1. Let k(b) = -4*j(b) + z(b). Calculate k(v(a)).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 7. Let h(n) = -w*n**2 - n**2 - 4*n - 4*n**2 - 3 - n**3 + 2. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -3*z + 42. Let l(s) be the third derivative of 0*s**5 + s**2 + 0*s**4 + 0*s**6 - 5\/6*s**z + 0 + 0*s - 1\/105*s**7. Differentiate l(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-1128)\/32)\/((-3)\/4). Is f > -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21098 and 111.6?\nAnswer: 2354536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/85 + (-315)\/(-68) and 4\/10 - 49\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 952\/(-2992)*(-16)\/(-14)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -z. Let x(y) = -y - 3. Let a be x(z). What is the units digit of (a\/(-12))\/((-2)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 7*i. Let t be p(-6). Suppose -3*n = q - 6*n - t, 4 = 2*q - 4*n. Let o = 21 + q. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575216 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2 + 173. Let d = 40 - f. Solve 0 = 5*i + r - 20, -d*r + 26 = 2*i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 16*y - 10. Let a be o(20). Let g be (-2 + a\/(-25))\/(4\/(-170)). Does 11 divide g\/(-6) + (-7)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58979 = 114*u - 59321. Suppose n - 8 = 3*n, 2*h = -4*n + 8. Solve 0 = -3*j - h + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 7185*c**2 - 87740*c - 1159200.\nAnswer: 5*(c - 20)*(c + 8)*(c + 1449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 1. Let v = -47\/172 + 1\/43. Which is the nearest to v? (a) m (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1\/13, 3 in increasing order.\nAnswer: -1\/13, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -688*x - 1 + 227*x + 1 as o + v*x and give v.\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2099.\nAnswer: -419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 14. Suppose 49 + 197 = 6*o. Calculate the remainder when o is divided by i(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:49 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7296337000 to the nearest 1000000.\nAnswer: 7296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -61. Let o(w) = -w**3 - 14*w**2 + 12*w - 50. Let t be o(l). Suppose 4*h + 8 = -4*k, 3*k = -h - k - 17. What is the closest to 0 in -6\/7, h, t?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106\/3 + 104\/3*g - 2\/3*g**2.\nAnswer: -2*(g - 53)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34365 and -0.5.\nAnswer: 17182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (0 + 1 + sqrt(72)) - sqrt(72)*1*-2 - (sqrt(72) + (4 + sqrt(72))*-4)*-6) + 0 + -2)**2.\nAnswer: 19008*sqrt(2) + 28233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5021914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**12*i**(-1\/7)*i**3\/i*i*i**(1\/2)*i*i**(3\/4)*i**(-1)\/i**(-1\/7) assuming i is positive.\nAnswer: i**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501120 is divided by 33406.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*d - 2*v, 4*d - 2*v = 3*d - 18. Let h = d + 6. Let o(r) = 3*r**2 - 9*r - 5. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-51)\/24)*1\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-5))\/((-14508)\/209560).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 13*w**2 + 12*w - 1. Let v be r(12). Let b(a) = -7*a**3 + 3*a + 3. Is 7 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5249*s + 63158 - 130655 = 10472*s + 58271 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133347589.\nAnswer: 347, 384287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -486*l**5\/5 + 366228*l**4\/5 - 8186664*l**3 - 990635664*l**2\/5 - 86840448*l - 9603840 = 0?\nAnswer: -20, -2\/9, 164, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(110)*-2 + sqrt(110)))\/(sqrt(10) - 5*2*sqrt(10)).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11344 divided by 414\nAnswer: 5672\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 16*q + 3*q**2 + 6*q + 9*q - 2 - 2*q**4 + q**3.\nAnswer: -(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 70*b**3 + 305*b**2 + 420*b + 180.\nAnswer: 5*(b + 1)**2*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7841 - 1062?\nAnswer: 678a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 2*c + 11*c + 9*c - 1. What are the prime factors of z(2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 + 5*i - 2. Let s(q) = -3*q**2 - 3*q + 1. Let t(u) = 3*c(u) + 5*s(u). What is the units digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 + 12*l - 11. Calculate the remainder when 40 is divided by v(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650651626?\nAnswer: 2, 503, 646771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 687*f - 687*f + 3*f**2. Let b(r) = 3*r**2. Let s(k) = k**2. Let y(o) = -3*b(o) + 6*s(o). Determine y(h(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*y - 0*y + 2, 5*y - 4*t + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 2*h**2 + 4*h - 4. Let p(s) = -3*s**3 + 6*s**2 + 11*s - 11. Let z(y) = -4*p(y) + 11*q(y). Let n be z(2). Let f(x) = -x + 3. Give f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -591*-0.01\nAnswer: 5.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let i be 5\/m*(-6)\/(-5). Suppose -i*t - 8 = -c - t, 0 = -c + t + 8. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 494585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0*s + s + s) + 4*s + 2*s - s + (3 + 2 - 3)*(-10*s - 24 + 24).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11901.41 + 11854. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*n = 1172*n - 575*n - 484 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 3:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 13*j = 108. Solve -1 = -4*x - 2*k - k, 2*x - 2*k - j = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 111. What is the third biggest value in q, -0.5, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(56\/36) - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.056 or 10\/23?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -g - 55, 3*g = -2*g - 25. Let t = -6 - h. Put 1, t, 3 in decreasing order.\nAnswer: t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3\/4, 2, -2\/5, 4\/3 in descending order.\nAnswer: 2, 4\/3, 3\/4, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -67. Suppose -q - 3 = 0, t = -4*h - 6*q + 2*q. Let y be 1\/((-5)\/(-10)) + 1 + -1. Solve h*x - y = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0798 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5859*y - 1974485. Determine n(-337).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141171.\nAnswer: 1141171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.017 (b) 1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.8 + -20. Let x = 49.6 - l. Which is the nearest to -1\/77? (a) 0 (b) 5 (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3 = 7*d, 0 = -3*r - 4*d - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-193)\/((-28564)\/(-1813))*(-2)\/4*(-36)\/(-14).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 989907 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/27010 and -4\/153957.\nAnswer: 1539570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 87\/22, -89, 1\/11?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -71 - 8 - -43 - -18\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 397, 0, -14, -4 in decreasing order.\nAnswer: 397, 1, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 704, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-16)*122408\/4290 - 36\/4\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 5*d**2 + 2. Let c be a(-4). Suppose 5*z + 3*t = -0*t + 110, z - 5*t - c = 0. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136, 280, 430, 586, 748?\n\"Answer: 3*d**2 + 135*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136 = -5*n + 25*z + 396, 0*z + 80 = -5*n + 2*z + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70976*f + 30 - 48086*f - 30 to the form q + t*f and give t.\nAnswer: 22890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -433*h + 5677. What is n(13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 19\/9 (c) 0 (d) -0.5 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.031 - 5.931. Let x = d - -6. Put x, -0.4, -2 in descending order.\nAnswer: x, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 314 = 8*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 211, 214, 217, 220, 223?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) + 19\/6. Let k = -7 + r. Let n(h) = h**2 + 5*h + 4. Let f be n(k). Solve f = 2*a + 2, a + 21 = s + 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07472 >= 6.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.3633 take away 1?\nAnswer: -127.3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 924 - -1213?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -3*o + 18. Let s = 1.3 + -6.3. Which is the nearest to 1? (a) s (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfhhmwp. What is prob of picking 1 p and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 7280460195?\nAnswer: 7280460194.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*u - 1, -u - 35 = -3*n + 23. Let r = 0 + n. Let d = 27 - r. Solve -5*o = 3*b + 6, 2*b - 6*b + d = 2*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 18*c**2 - 4*c - 8. Calculate the remainder when m(-9) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1093*t**4 + 6848*t**2.\nAnswer: -26232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/30*-3*(14725\/4)\/95\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 236\/(-6)*(-2)\/(-4)*6. Let r(y) = -93*y - 3. Let m be r(-2). Let q = j + m. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfmf when four letters picked without replacement from {j: 2, m: 6, f: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqpr when four letters picked without replacement from jqqtqqcpcqrcqqqqtqp.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.089 + -0.058. Let n = 0.505 - y. Let d = -0.91 + n. Round d to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619 - 85 = -64*s. Solve -5*m - s = -2*c, -5*m + 4*c = 9*c - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/4 - c**2\/2 + 54*c + 489. What is q(0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4518786, 4518790, 4518806, 4518840, 4518898?\nAnswer: 4518986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69191 - 526897.2?\nAnswer: -596088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7 + -0.141455?\nAnswer: 86.558545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 20528.48m?\nAnswer: 20528480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*z + 117*z - 248*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311310321 - -2020?\nAnswer: 311313001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30343342*j**4 + 43017728 wrt j.\nAnswer: 121373368*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - z + (4 - 4 + 2)*(-3*z + z + 4*z) + 5*z - 3*z + 0*z)*(-1 + 0 + 3).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:12 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/90 - 658*o**4\/9 + 1731856*o**3\/9 + 11*o**2 + 34. Factor r(u).\nAnswer: 2*(u - 1316)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 = 4*s, -u - 6 = -s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -7, -0.2, 59, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000449538611 to 7 decimal places.\nAnswer: -0.0004495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10877)\/146 + (2 - -3) - (27\/18 - -1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/146416 and -61\/26920.\nAnswer: 492689840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24988859*w = 24988863*w + 4*u - 4, -21 = 2*w - 3*w - 5*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:18 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Let r be (-18)\/(-24)*(-6)\/(-9)*1. Put r, -0.2, n in decreasing order.\nAnswer: n, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -1190 (b) -7 (c) -5 (d) -1\/2 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + s - 0*s - 9 + 29, -10*s = -4*t - 59 - 17 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -594 + 604. Solve -22 = 4*t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + (18 + -22 - (-4 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*j + j - 5, 2*j = 2*h. Let z(u) = -u**3 - 1. Let q(n) = -6*n**3 - n - 4. Calculate h*q(b) - 4*z(b).\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1085, 964, 775, 524, 217, -140, -541, -980?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -b - 4, -2*f + 4*b = 2*f + 8. Suppose f*u - 3*u + 87 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/150 + 3*g**4\/20 + 3*g**2 + 3*g. Factor z(u).\nAnswer: 2*u*(u + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 100, 166, 232, 298?\n\"Answer: 66*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 6*z**2 + z + 2. Suppose -3*y = p - 2*y + 3, 5*p + 3*y + 19 = 0. Is t(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223985 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9837679 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25109 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.3? (a) -41 (b) -0.2 (c) -0.3 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124478432 to the power of 1\/3, to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4\/3 - 8*q**3 - 4*q**2 + 40*q\/3 = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/425*15\/12*-4*(-3)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209721 and 318.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1240, -4949, -11132, -19789?\nAnswer: -30920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w - 53. Let c be b(-11). Let m = -154 - c. Suppose -3*k = -3 - 3. Solve -m = k*f - 3*f + u, 2*u + 13 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 - 6 = -3*m, 0 = -m - 5*l + 14. Suppose -2*b + g = -m*g, g = -b. Solve b = -5*k + 4 - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5 - 5)*(2*b**2 + 4 - 4) + b**3 - 5*b**3 + 5*b**3 + 42*b**3 + 45*b**3 + 103*b**3 in the form l + j*b**3 + g*b + d*b**2 and give j.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62426, -124856, -187286?\n\"Answer: -62430*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 274 = -3*z - d, -4*d = -4*z + 304. Let a = -43682\/5 - -8805. Is a at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 - 4*y**2 + 0*y**3 + 0*y + 0*y**4 + 1\/60*y**5. Factor f(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5855 - -5862. Solve h - 2 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-135)*6\/(-33)*(-60)\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a gram in milligrams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -10*o - 11*o. Suppose 3*h - 2*h + 582 = 0. What is the common denominator of 43\/14 and h\/4*o\/(-81)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14610, 117840, 398032, 943668, 1843230, 3185200, 5058060, 7550292?\nAnswer: 10750378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 5*u + 565, 221 = 2*v - 3*u. What is the units digit of v\/4 - 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:14 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 29535760*m - 88607325.\nAnswer: 5*(m - 3)*(m + 5907155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79630*o**3*v - 5*o**3 - 13341*o - 3*v + 3 wrt o.\nAnswer: 477780*o*v - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-12))\/(u\/(u\/u**(-24))) assuming u is positive.\nAnswer: u**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3623, -3623, -3613, -3587, -3539, -3463?\n\"Answer: i**3 - i**2 - 4*i - 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtt when three letters picked without replacement from {m: 3, j: 4, t: 4, l: 5}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12928 divided by 128?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 + 145*m**3 + 120870*m**2 + 4972220*m + 9462200 = 0. What is m?\nAnswer: -110, -46, -2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/25*((-108)\/(-810))\/(1\/50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1067 - 548*a - 1067 - a**2 + 548*a. Let v(w) = -2*w**2 - 23. Determine v(l(n)).\nAnswer: -2*n**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0765 times -4\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14052 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 30 = 2*r. What is the highest common divisor of r and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmt when three letters picked without replacement from {e: 5, u: 6, m: 2, c: 5, t: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56586*k + 56584*k = 5*p + 27, -3*p + 9*p + 4*k + 18 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-624)\/(-32))\/((-6)\/(-992))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 2*l + 0*l)*(-2755163 + 1372881 + 1372489)*(1 - 1 - 2) as u + q*l and give q.\nAnswer: -19586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 26. Let v(s) = -s - 4. Let w be v(-6). Suppose -g = m - 15, -9 - 59 = -5*m + w*g. Calculate the greatest common factor of m and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-445)\/(-194)*(-2)\/20. Let q = -2\/97 + r. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 163*r**2 - 10915*r - 209. What is o(-214)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(42\/11)\/(v*v\/(v*v*v*v\/v**(-2))*v*v)**(1\/27) assuming v is positive.\nAnswer: v**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4882, 4794, 4632, 4402, 4110, 3762, 3364, 2922?\nAnswer: 2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 12. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 24a57?\nAnswer: -24a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 593153843 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b - 5. Let v(j) = 17*j + 8. Let g(q) = 8*a(q) + 5*v(q). Let k be g(2). Let y = -0.2 - 0.3. Put y, 5, k in ascending order.\nAnswer: k, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*t**4 + 41*b**3*t + 7*b**2*t**2 - 5165*b*t**3 - 7*t - 1 wrt t?\nAnswer: -144*b**3*t - 30990*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147593 + 2*o**2 - 147593.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12944)\/(-177980))\/(2\/105).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 - j. Let z(w) = 23*w**4 - 6*w**3 + 6*w**2 + 6*w + 13. Let l(b) = 6*q(b) + z(b). What is the first derivative of l(t) wrt t?\nAnswer: 92*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265.9605 - -0.0395. Let r = d + -265. Which is the closest to -2\/29? (a) 4 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + u. Let n be w(1). Let j(m) = m**2 + 6*m + 4. Let s be j(-5). Let g = s - n. Let c(k) = k + 4. Give c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.5 (b) -0.0131 (c) -3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (19\/4 - 4) + 43\/(-36) and 30\/(-9)*(1 + (-13)\/8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 830, 1375, 2130, 3101, 4294?\nAnswer: 5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:12 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -279365 + b5?\nAnswer: -279270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -156260*t. Let n(a) = 9*a**2. Calculate n(o(u)).\nAnswer: 219754688400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (-1 + sqrt(396))*-4)**2 + 1*-2*sqrt(396) + ((-1 + sqrt(396))*-1 + -1*sqrt(396)*-2)**2.\nAnswer: -240*sqrt(11) + 10313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:12 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545307 equal to 2.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bb - -45df5?\nAnswer: 45fb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 445\/7 + -69. Let z(y) = 4*y. Let p be z(-1). Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -x - 5*y + 92, -x = 2*y - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.163 + -2.163. Let d = -70.2 + 69.7. What is the nearest to 1 in -0.01, d, b, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39398 at most 39399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1974889535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-96 - 99 - 2*a + 198) in the form m + c*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 411917112 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 2*i - 1. Let k be a(-2). Let v(w) = w**2 - 2*w + 16. Let g be v(6). Suppose -2*j - g = 5*m, 6*j - 2*j = 3*m - 2. Is k at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30 + -4 + 11\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2 = -2*a. Suppose 0 = 5*o + 2*s - 3, 5*s - 18 = -2*o. Sort -3, o, a in increasing order.\nAnswer: -3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.98 - 5. Let t = u + -0.88. Let w = t + 2.9. Put -5\/4, 0.3, w in decreasing order.\nAnswer: w, 0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12638790?\nAnswer: 2, 3, 5, 317, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-513*m + 993*m + 587*m)*(-1 + 2 - 3) - 5*m + 3*m + 0*m - 1.\nAnswer: -2136*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5612 or 5508?\nAnswer: 5508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -253 - -800. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1794 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7117521 or 7117522?\nAnswer: 7117521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/7 + 390\/(-70). Let r(v) = -v. Let t(m) = -m**2 - 6*m. Calculate k*r(d) + t(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**0))**(-6\/35)\/(j**(-1\/8)*j**(2\/11)))\/(j**(-5)\/j*j*(j\/(j*j*j**(-6))*j)\/j)**(-16\/11) assuming j is positive.\nAnswer: j**(-5\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - (0 - (2 + -1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 983.9 and 0.3?\nAnswer: 295.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:50 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8166931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.019, 21, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-2)\/(-1)))\/((-1)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29399, 29402, 29405, 29408, 29411, 29414?\n\"Answer: 3*v + 29396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -85.17. Let i = d - -2.17. Which is greater: i or -0.009?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56611 + 46750. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) - (0 + sqrt(475))*-5) + 5*sqrt(475)*1)**2 - (((sqrt(19) + 1)*-5 - sqrt(57)\/(sqrt(6)\/sqrt(2))) + 4))*4.\nAnswer: 24*sqrt(19) + 229904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (710 - 13 + 51 + 593 + 82)*(8*c**4 + 35*c**4 + 112*c**4) to the form n*c**3 + x*c**2 + q*c**4 + i + f*c and give q.\nAnswer: 220565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {j: 3, s: 8, x: 2, l: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -6, 2\/27, -4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((58\/(-464))\/(2\/(-24)))\/(3\/(-4)). Sort g, 1, 24, -1, 12 in increasing order.\nAnswer: g, -1, 1, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142503 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1450, 2460, 3454, 4426, 5370?\n\"Answer: -l**3 - 2*l**2 + 1023*l + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.52 - 1.48. Let c = -0.98 - 0.32. Let s = c + 1.1. Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**4 - 11*g**2 + 2*g + 1 + g**3 + 0*g**3 + 10*g**2 as c*g + a*g**2 + b*g**3 + z + o*g**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 20*i**2 + 28*i**2 - 36*i**2 - 2*i**2.\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0, 0.2, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-31)*n*n**(-25) assuming n is positive.\nAnswer: n**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*q**2 - 19665359*q + 39330711*q - 19665352*q.\nAnswer: -181*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 21. Suppose 26 = 4*i - f. Let o(n) = -1 - n + 3*n - 3. Let j(w) = -4*w + 9. Calculate i*o(h) + 3*j(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 165\/99 - (-16)\/3. Let r be (-58)\/(-10) + (-24)\/(-90)*-3. What is the greatest common divisor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-642)\/(-9))\/((-2)\/6). Let k = x + 356. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/(2\/4). Let z = -3 - -2.91. Let h = z + -0.01. Put j, 5, h in descending order.\nAnswer: 5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -50848?\nAnswer: 50850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 504\/151424*52*(-2)\/((-12)\/2).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 57*n + 3350. Let x be i(-93). What is the closest to -0.2 in -16.9, 2\/9, -4, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q + 0*q = -7, -5*o + 4*q + 15 = 0. Let x = -3565\/29 - -123. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28*-50 + 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 11. Is (-145)\/(-15) - c\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-162)\/243 - 346*242\/(-12)?\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmtcmccmmtm. What is prob of picking 4 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2217 + -0.4783. Suppose -6*r = -27 + 3. Put -4, 1, r, c in ascending order.\nAnswer: -4, c, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37e - 140de?\nAnswer: -1446d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170306 divided by -1027?\nAnswer: -170306\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:41 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -51*s - 5640. What is the greatest common factor of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)\/(((w*w**(2\/5))\/w)\/w))\/((w*w*(w\/w**2)\/w)\/((w\/w**(-1))\/w))*((w*w**(-4)\/w)\/(w**(-1\/4)\/w))\/(w**1\/w)**(-25\/6) assuming w is positive.\nAnswer: w**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -15\/94?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 4*x + 33. Solve x - 7 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)**(2\/7))**20 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 3*g. Let i(m) = 2*m**2 + 7*m + 7. What is the remainder when v(4) is divided by i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yryr when four letters picked without replacement from {y: 5, r: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-5)\/(-1))\/1. Let i be ((-8)\/(-10))\/(1\/5). Let t = i - y. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1 - 5*j**2 - 179*j + 4*j**2 + 174*j. Calculate y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -40, -43, -46, -49?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-75)*((-3)\/24)\/(4\/(-84))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 347*d**2 - 2923*d + 71493. Give g(339).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/5154 - 84947\/484476. Find the common denominator of j and -109\/18.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*s - 866 + 335 = 0. Suppose -24\/5*t + 8\/5 + 2\/5*t**4 - 12\/5*t**s + 26\/5*t**2 = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2 - 0)\/(3\/(-516)). Suppose 0 = 4*c + 5*q - 135, 5*c + 9*q - 6*q - r = 0. What is the remainder when 137 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11603 and 3026 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 1. Let k(s) = -129999*s**2 + 2*s - 1. Let m(y) = -k(y) - r(y). Let c be m(-2). Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 2. Give i(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - 0 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -75*j + 4. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -12 (c) -4 (d) 116 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:49 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 2377600 = -75*u. What is u rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose 5*j = -0*y - 2*y + 29, 0 = j + 2*y - 9. Let x = j - i. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9419748 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(16) + -3*(sqrt(2)*1 + sqrt(2)) - ((-1 + sqrt(12)\/sqrt(6))**2 + (sqrt(242)*3 - sqrt(2))).\nAnswer: -71*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118259.26 days in weeks?\nAnswer: 16894.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 smaller than -1307\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*a - 13, 5*s - 1006*a = -1003*a + 44 - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/386495 and 3\/10.\nAnswer: 772990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1706 = 158*x - 1889 - 671 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9004 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1561, 1563, 1565, 1567?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18661759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -141855.0155 rounded to the nearest ten?\nAnswer: -141860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4)*4\/(-3). Let f be (-1)\/3 + 20\/v. Suppose 16 = -u + f*u. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894684 minus -17?\nAnswer: 894701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1432 - -78?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p. Let r(m) = 76*m. What is r(u(b))?\nAnswer: -836*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 5. Let o be f(8). Let u = 5687\/9 - 632. Which is the second smallest value? (a) o (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(65) + sqrt(65) - sqrt(65)))\/sqrt(5).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.5 - 6. Let y = -0.5 + h. Let k be (-14)\/10*(1736\/98 + -18). Which is the nearest to k? (a) -2\/9 (b) 7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13 - (-268)\/52.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 l, and 2 w when four letters picked without replacement from wwgwpwlwpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v + 8. Let y(x) be the first derivative of -4*x**2 + 9*x - 6. Give -6*d(o) + 5*y(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Suppose 0 = -2*p + 5*f + 559, -4*f + x*f = -12. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 + -474. Let i = -1 + 5. Sort g, 3, i in descending order.\nAnswer: i, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1226 + m**3 - 96*m**2 + 1234 + 102*m**2 + (1 - 1 + 2*m)*(3*m**2 + 0*m + 0*m).\nAnswer: 7*m**3 + 6*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21740, -86914, -195538, -347612, -543136?\nAnswer: -782110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-25) - (200583\/(-15) + -8).\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*872\/(-20)*535\/(-428).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 33. Calculate the remainder when 54 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9 - (-116)\/(-6))*1. Let w = -14 - i. Factor -2*n**2 + 10*n**4 - w*n**3 + 57*n**5 + 2*n**2 - 62*n**5.\nAnswer: -5*n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2)\/sqrt(6) + 2 + -4.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 + 3*u - 3. Let v(f) = -4*f**2 - f**2 - 3*f + 3 + 0*f**2. Let p be (7 + (-676)\/78)*(-24)\/(-10). What is p*v(t) - 3*d(t)?\nAnswer: 2*t**2 + 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*n + 4*n**2 + 57*n + 4*n**5 wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + t**3 + 12*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 8*f**3 + 4*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*w - 1582 - 296 - 6526 = 0 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 3)*(-19 - 11 + 0)*(-4*j + 4*j - j) to the form q + l*j and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8529534.2 to the nearest 10000.\nAnswer: 8530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 195. Let d be (-104)\/s*85\/(-1). Suppose 3*h = -h + d. What is the lowest common multiple of 6 and h?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/1 - 4\/(-6). Solve 26 = -p*x + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247292832.\nAnswer: 2, 38977901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31392 and 78480?\nAnswer: 156960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -1\/30*s**6 + 0*s**3 + 2\/7*s**7 + 0*s**2 + 0*s**5 + 4 + 11\/6*s**4 + 8*s. What is the third derivative of j(f) wrt f?\nAnswer: 720*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/10795880 and -49\/293647936?\nAnswer: 1468239680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279269, -558546, -837827, -1117112, -1396401?\nAnswer: -1675694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*-3*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 14. Let t = -8 - 2. Let a be p(t). Suppose 0 = -z + s + 142, 5*z = -a*s + 2*s + 724. Calculate the highest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x - 36 = 4*z, -z + 2*x = 12. Let p be ((-690)\/35 - z) + (-2)\/7. Let o(a) = -15*a**2 - 1. Let q be o(1). Is q < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7452043440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1608990 divided by -536330.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/(-35))\/((-1)\/5). Suppose 0 = -2*j - 4*w + 40, y - 28 = -3*j + 2*w. Calculate the smallest common multiple of 3 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -919 - -919. Which is the fourth smallest value? (a) i (b) -5 (c) -2\/91 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023966 rounded to 5 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, q: 4, u: 1, c: 2}. Give prob of sequence eq.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -345 and -9.2702665948?\nAnswer: 335.7297334052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b - 29. Let r(m) = -7*m - 27. Give -7*r(f) + 6*t(f).\nAnswer: f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -1\/6 (c) 4 (d) 2340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 8 = -5*n + 4*u, -16*n + 15*n - 8 = 4*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1043 - 32292\/31. Find the common denominator of r and -19\/9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556.191 - -0.3.\nAnswer: -555.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 2*w + 20, 4*a - 5*w + 22 = 0. Let q = -2 - a. Suppose -3*u + q*u = 42. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -641069 less than -640743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 4*f + 14. Let n(w) = -3*w**2 + 7*w - 26. Let t(h) = 5*j(h) + 3*n(h). Let d(x) = -23*x + 92. Let i be d(4). Calculate t(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*q + 385 = 0, -3*i = -4*q - 52 - 179. Let g(o) = -2*o + 1. Let v be g(-3). What is the greatest common divisor of i and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 864480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgefsct. Give prob of sequence st.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*v - 98 = -119, v = 3*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 17889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -3) + 6 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62674.6ml in litres?\nAnswer: 62.6746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 + -1924 + -102 + -1 + (5 - 0)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30502250 and 7750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 + 53834*g - 53834*g - 2758 to z*g**2 + o + t*g and give o.\nAnswer: -2758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 763296 and 381648?\nAnswer: 763296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - -2) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6022, 5917, 5812, 5707, 5602, 5497?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x + 12. Suppose 0 = -3*m + m + 5*o + 9, 3*o + x = m. Let c(b) = -b + 1. Calculate c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 48 = 9*q. Solve -2*r + q*h + 18 = 0, r + 3*r + 3*h = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = -10*z + 65 + 56 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41927230537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 586, 662, 740, 820, 902, 986, 1072?\n\"Answer: z**2 + 73*z + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340.3557 centuries to millennia.\nAnswer: 34.03557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -459 + 476. Suppose 4*c = -2*x + 52, -2*c + y*x = 14*x - 42. Solve -54 = -c*k + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4421*b = -4428*b + 5*u - 53, 3*b = -0*u - 2*u - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 8300*z**2\/3 - 2842550*z + 57963000.\nAnswer: -2*(z - 20)*(z + 2085)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-24)*((-14964)\/8)\/(-43)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227897?\nAnswer: 7, 318271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, w: 3, h: 6, s: 5, l: 1}. Give prob of sequence pwi.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506 and 3344?\nAnswer: 76912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*w - 3, -4*o - 35 = -8*o - 5*w. Sort -2, o, -1.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 - -5. Suppose q = -2*q + 9. Sort q, h, 0.2.\nAnswer: 0.2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 + -398. Let z = 232 - n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = r + 5*h, 0 = -r + h + 11 - 4. Find the third derivative of 5*g**2 + 0*g**r + 3*g**3 - g**2 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a19 - -143?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -4 (b) 2\/5 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*k - 35 = 0, 1 = -2*z - 3*k - 6. Suppose 5*j + 0*i = -2*i + 33, z = i. Solve 0*q = 4*q, 5*q + 5 = j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2544*c - 2554*c + 20 = 0. Solve 0 = 3*w + c*w + q + 25, 3*w + 15 = -3*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 13*m)*(-7*m - 8*m - 13*m) + (m**2 + m**2 - m**2)*(-4 + 2 + 13).\nAnswer: -409*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h - 105. Let r be t(0). Suppose -3*o + 189 = -291. Let p = r + o. Calculate the highest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 2 + 3*o**2 - 2 + 3 + 13*o**2 + o**3 to the form u*o**2 + h + j*o + a*o**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (7 - 5) - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {y: 1, j: 2, q: 5, s: 1, z: 6, a: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 64*a - 449. Calculate b(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 73*l. Let p(h) be the third derivative of h**4\/12 + 2*h**2 - 23*h. Give p(k(s)).\nAnswer: 146*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = b - 32, 3*b - 2*b = -4. Is (-3124)\/(-6) - 3\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 57. Suppose x = -g + 11. Suppose 5*s = -g*i + 5975, 3*s - 2*s - 1195 = i. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -19*i**2 - 14*i. Let d(z) = 7*z**2 + 5*z. Let n(m) = -4*a(m) - 11*d(m). Let h = 8 + -5. What is n(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 2776510*g**2 - 11106100*g - 11106120.\nAnswer: 5*(g - 555306)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 39 = -56. Let f = v + 23. What is the least common multiple of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4502 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8720005 is divided by 2500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9285169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(154) - sqrt(154)*-3))\/(-1*sqrt(567) + sqrt(7)))\/((sqrt(44) + -1*sqrt(396))\/(5*(sqrt(4) + -3*sqrt(4)))).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 5:58 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344 + -349. Let a(y) = y - 11. Let j be a(11). Sort o, j, 1\/9.\nAnswer: o, j, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/16 (c) 15\/41218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.18 + -0.18. Let f = x + -25.5. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-3)*(-14700365)\/20. Let a = 1790073 + f. Round a to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70598620*m**2*y**3 + 358*m**2*y - 728*m*y**2 + m*y + 9*m - y**2 wrt y?\nAnswer: -423591720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(1573) - (sqrt(1573) + 3)*5)**2 - (5*sqrt(1573) + 1 + sqrt(1573))*-1).\nAnswer: 2706*sqrt(13) + 50785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*i**5\/8 - 7581*i**4\/8 - 103521*i**3\/8 - 149187*i**2\/8 - 7575*i - 1875\/2 = 0 for i.\nAnswer: -25, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252154 (base 6) to base 5.\nAnswer: 4203230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 255. Let g = u + -230. Solve 3*f + 15 = 3*y + 2*y, g = -4*y + 5*f + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 19*f**3 + 34*f**2 + 16*f + 24. Give j(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 28 - 8)*(13*n - 33*n - 22*n)*(4 + 1 - 3).\nAnswer: -2604*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/(-612))\/(4\/(-392))*18\/21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 2*r**3 + 21*r**2 + 14395 - 14400 + 9*r**3 as q*r + h + l*r**4 + y*r**3 + v*r**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**6*i*i*((((i*i**3\/i)\/i)\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37840 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*u - 180*u + 10 - 10.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16 (b) 8.294 (c) -2 (d) -4 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30122121000 (base 4) to base 7.\nAnswer: -36441240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1140 (b) 1\/16 (c) 0.89 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998935625?\nAnswer: 5, 499, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 351*v**8\/7 - 155*v**4\/2 - 2*v + 2155. What is the third derivative of l(z) wrt z?\nAnswer: 336960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -16. What are the prime factors of (d\/(-14))\/(3\/(-21))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-9))\/((-1)\/3). Suppose -5*l + 0*l + 45 = i*f, 0 = -2*l - 4. What is the remainder when 40 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -31. Suppose p - i*p = -24. Suppose -p = -v + 3*r - 3, -5*v + 5*r = -25. Calculate the highest common divisor of v and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 59 - (62 - 7)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c - 246. Does 75 divide u(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/366 and 21\/22.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/11))**(-16\/5) assuming j is positive.\nAnswer: j**(-128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t - 0*t. Let x(m) = -m**2 - 4*m - 6. Let d be x(t). Let y be 1 + d\/10 - 0. Which is smaller: y or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 234 = -36. Suppose -m + y*m - 5670 = 0. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 148*r**3\/7 + 382*r**2\/7 + 200*r\/7 - 24 = 0.\nAnswer: -7, -2, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/3 + 11*l**2\/2 + 6*l + 118. Calculate j(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 3, m: 2, j: 12}. Give prob of picking 2 i and 1 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97857 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - x**2 - 4)*(35*x - 53*x + 191*x).\nAnswer: -173*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/805 and 53\/2534.\nAnswer: 291410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwdqqzcqfwzddw. Give prob of sequence cqdf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 2. Let k be b(-1). Let u = 2 + k. Let y(w) = w**3 + 5*w**2 - 2*w + 4. What is the remainder when 54 is divided by y(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*-1*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.3 - -8. Suppose 3*w - 5 = -7*d + 11*d, -13*w = 13. What is the nearest to -0.13 in 4, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 4465?\nAnswer: 26790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (82 - 246) + 130.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*i - 1782 = -389*i. Let t(n) = 610 - 301 - i - 2*n. Give t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 22. Let d be c(8). Suppose g - 6 = -3. Suppose -43*f**d + 31*f**g + 4*f - 7*f**3 + 4*f**5 + 16*f**4 + 59*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from lulllzluuuuuuulpulu.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 1. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15257829077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 12)\/(0 + 1). What is the third derivative of 0*n**2 - 7*n**6 + 38*n**6 - i*n**2 wrt n?\nAnswer: 3720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/2128*-38)\/((48\/148)\/(-3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*w + 55. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(539)*1)**2 + ((sqrt(11) + 1)*6 - sqrt(11))**2.\nAnswer: 60*sqrt(11) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 33. Suppose -5*s = 4*b - 6, 6*s = q*s - b + 7. Sort s, -1, 5 in increasing order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - 0.32. Let z = f + -0.87. Let i = -4.5 - -4. Which is the smallest value? (a) i (b) z (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4701, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32114634 + 3?\nAnswer: -32114631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*t + 3*t. Let q(k) = 11*k**3 - 11*k**2 + 17*k - 11. Let c(b) = -5*b**3 + 6*b**2 - 8*b + 5. Let u(j) = -9*c(j) - 4*q(j). Is u(t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 + 75*d**3 - 39*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6609.5 - -6608. Which is the fourth smallest value? (a) 0.047 (b) 4 (c) r (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, -191, -6, -429 in ascending order.\nAnswer: -429, -191, -6, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 1. Let y = -18 + 20. Determine v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29\/(-3))\/(4\/36948). Let f = s - 60709. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-121)\/(-88) + 9\/(-6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11065, -8486, -4187, 1832, 9571, 19030, 30209?\n\"Answer: 860*g**2 - g - 11924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1. Let q(a) = 2*a - 15. Suppose 3*t = 2*z - 2*t + 17, -5*z + 4*t - 34 = 0. Let f(l) = z*y(l) + 2*q(l). Is 5 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*m*r**3*t**3 + 31298*m*r**2*t**2 + 273736*r**3*t**3 + r**3*t**2 - 465*t**2 wrt t?\nAnswer: -2532*m*r**3 + 1642416*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1069892\/285 - 3754. Let g be (-2)\/(-6) + 1\/(-3). Is g equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {f: 5, k: 7}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47241, -47255, -47271, -47289, -47309?\nAnswer: -47331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + -3 - (2 - (-2 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/12 - 3\/(-4). Which is the second smallest value? (a) v (b) -1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-394)\/((1 - 2) + (-2)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263 + 755. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l - 8. Let c(k) = -k**3 - 5*k**2 - 3*k + 3. Determine c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323.5 + -0.5?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 2002?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327901 and 296765.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -275, 57, 1063, 3079, 6441, 11485?\n\"Answer: 56*b**3 + b**2 - 63*b - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7604947823?\nAnswer: 11, 691358893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -359625?\nAnswer: -359625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6216)\/24868*8 + 2. Let d = 304643\/31085 - q. Calculate the common denominator of d and 10\/11*5\/2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868224 divided by 896?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 15 - 5. Let i be -12*((-70)\/52)\/7. Let r = 159\/52 - i. Is r less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 5*y - 7. Suppose 0 = -12*b + 10*b - 10. Calculate the remainder when h(b) is divided by ((-84)\/9)\/(6\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994964 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: Factor -10\/9*j**2 + 0 + 4\/9*j - 2\/9*j**4 + 8\/9*j**3.\nAnswer: -2*j*(j - 2)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197633592.0000071 + 197633323. Let g = -269 - p. Round g to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + h = 54, 15*h - 8 = 13*h. Suppose x*a - 7 = 3. Let d be (0 - a)\/(-2*(-5)\/70). What is the fourth biggest value in d, -3, 0.4, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/10 + 7*m**2\/2 - 3*m. Let v(y) = -10*y**4 + 21. Let r(d) = -2*v(d) + 7*w(d). Differentiate r(i) with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*(-5)\/(-1). Let v(q) = -q**2 + 10*q - 4. Is 7 a factor of v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -89*q + 41. Let u be g(1). Find the common denominator of -29\/28 and 309*(-2)\/u + -2 + -5.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 71501.4.\nAnswer: 143002.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 11*s + 12. List the prime factors of u(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32961 - 3?\nAnswer: -32964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 314 + ((-102)\/663 - 100\/26). Solve -t*a + 7 = -317*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1659112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**3\/5 - 582*j**2\/5 - 3948*j\/5 + 1176\/5.\nAnswer: -3*(j + 14)**2*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3105 (base 14) to base 7.\nAnswer: -33405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 56. Suppose 3*j + 6 = i. Suppose 2*s + 146 = 4*p, j*p + s = 3*p + 79. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/2, 2\/7, -5, -3, 0.155?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 - (7 - 11)) - (1 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)*3) + 4)**2.\nAnswer: 8*sqrt(5)\/3 + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 27*r + 478. Give s(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16435265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)*(-180)\/(-24). Let d = 19 + g. Suppose 0 = x + d - 25. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71948.86ml in litres?\nAnswer: 71.94886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 0.1, -0.6, -7, 3, 9.\nAnswer: -7, -0.6, 0.1, 1.4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129.53 + 2.53. Let x = c - -132.8. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q**(-2)*q)*q*q*q)\/q)**(2\/99)*(q\/(q**(-2\/5)\/q))\/q*q**(-3)*q assuming q is positive.\nAnswer: q**(-247\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 16*w - 11. Let x = 55 + -40. Let d be o(x). Is -0.03 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + 2)) + (-1 + sqrt(304))**2)*-5.\nAnswer: -1515 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 3780970*p - 22685824\/3.\nAnswer: (p - 11342912)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 122?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 814836 + -13487455.\nAnswer: -12672619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-35)*15\/10*280\/(-126)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1269 - 2485\/2. Let a = l + -25. Let v = 4 - 6. What is the second biggest value in 1\/9, a, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600*k**6 + 2*k**5*s + 50*k**3 - 3*k**2*s + 9*s + 252 wrt k?\nAnswer: 72000*k**3 + 120*k**2*s + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from rrnwrrorrroonwnnrrnr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9835997 - -9835997.25000017. Let t = -0.25 + i. Round t to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.481924 milliseconds?\nAnswer: 0.002481924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-1)\/6)\/(7\/(-14)*-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8846.1 * -4.6\nAnswer: -40692.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 1158112?\nAnswer: 1158112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365 - -329. List the prime factors of 8834\/10 + -1 + m\/(-60).\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427304, -427325, -427352, -427385?\nAnswer: -427424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 + 8 = 0. Suppose 0 = -l - z*c - 4, -3*l - 3*c = 0. Solve j**2 + 1 + 3 + l*j + 2*j = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0 - 2\/(-2). Suppose -g*b - 4 = -b. What is the nearest to 1\/4 in b, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 42 = -3*k - 2*o, -9 = -k + 4*o. Let u be (-3 + 0)\/(2 - 147\/78). Let p = u - -76. Calculate the remainder when p is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 113304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 + -2. Let s = 55592\/5 + -11118. Which is the nearest to f? (a) 3 (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1048412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p**3 - 12*p**2 - 71*p - 8. Determine h(-5).\nAnswer: -6078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 37*b**2 + b - 2. Give o(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 179. Let k be ((147\/35)\/(-7))\/(2\/(-10)). Suppose -12 = -k*z + 39. What is the remainder when x is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + k**2 + 11310*k**3 - 11301*k**3 - 4*k**2 in the form h + l*k**2 + i*k**3 + m*k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -13. Let p be (2 - 5) + 1 + z. Suppose 5*a - 455 = -5*u - 0*a, -p*a - 6 = 0. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3071 - -3632. Solve -569*t = -q*t - 56 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*r - 5*x + 26, -2*r = 5*x - 70. Let s be (-1)\/(-7) + 2261\/(-49). Let l = r + s. Which is smaller: l or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 7 + 17 = 0. Let n(b) = -b**2 - 7*b - 4. Let i be n(-5). Let v = i - o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 6133*w + 19 = -6129*w, -4*c + 12 = 4*w for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 14 - 4. Let n(y) = y**3 - 5*y**2 + 4*y. Is n(q) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60 + -39 + -15)*(-6)\/(-36)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - d - 27 = 0, 5*g = -d + 3*d + 68. Solve -2*y = -g + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 5, 0.106, 2\/17, 1.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 163*k - 53. Let q = -37019 - -37060. Determine g(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208515?\nAnswer: 3, 5, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.917 - 11.717. Let u = 22 + -21.78. Let j = -0.08 - u. Which is the nearest to -2? (a) o (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3876)\/(-2 - 90\/(-40)). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -88*p - 506. Is q(-12) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 26. Let g(m) = 2*m**2. Calculate g(q(a)).\nAnswer: 128*a**2 - 832*a + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 204 = -4*o, 5*k - 1377 = 2*o + 8*k - 1364 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20550 - -9779. Round v to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11981.83 rounded to the nearest 100?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/100108592 or -1?\nAnswer: 1\/100108592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 + -217.4. Let c = -0.39831 - b. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126.954119 + -17.\nAnswer: 109.954119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*8\/3. Let y = 615 + -848. Let f = y - -237. Solve -f*m + 31 = -3*h, 2*h = s*m - 0*h - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*i - 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2448) - ((sqrt(2448) + sqrt(2448)*2)*3)**2) + -4.\nAnswer: -72*sqrt(17) + 1189724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 + 20*n**3\/3 - 25*n**2\/2 + 133*n + 183. Calculate the remainder when 414 is divided by m(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101110010100111001100011?\nAnswer: -101110010100111001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294330 is divided by 666?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + h**3 - 6*h**2 + 0*h**2 - 4*h - 4*h**3. Let v = -19 + 14. What is o(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 4*p - 10. Let r be l(7). Let g = -22 - r. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2718*c**2 - 63*c - 86. Is b(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*l - 30, 0 = 4*u - u - 2*l + 4. Solve a + 10 = 2*g, g = u*g - 3*a - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/71 - -104\/213. Let g(k) be the first derivative of 2*k**2 + r*k**3 - k + 6. Determine g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300*a**3*c + 6*a**2*c*d + 16*c*d - 2*c - d + 2 with respect to a.\nAnswer: 900*a**2*c + 12*a*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 9*a - 8*a - 53.\nAnswer: 2*a - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*o - 303*o + 4840 = 39065 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736694 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118359403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18*8\/(-84))\/((-6)\/21). Suppose 0 = u*y - 12 - 6. Suppose -3*v = -y*o - 285, -3*v + 165 = -v + 3*o. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25766000 to the nearest 100000.\nAnswer: -25800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:35 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 1 - 1)*(-4 + 11 + 5) in the form j*f + k and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10987*d**2 + 5496*d**2 - 356*d + 5493*d**2 + 66*d in the form v*d + s + w*d**2 and give v.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 1. Let m(s) = -16*s**3 + 4*s**2 - s - 4. Let c(f) = m(f) + 4*n(f). Let x be c(-1). Solve 0 = -5*a + 4*y - x, -7 + 0 = -2*a - 3*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 20*v - 131. Determine s(-26).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - 63\/(-28). Let j(q) = -q**3 - 5*q**2 + 10*q - 1. Let p be j(-6). Let y = -21 - p. Which is the closest to d? (a) y (b) -4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1517 + -10639\/7. Which is smaller: l or -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 967, 125, -719, -1565?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) + (sqrt(1331) + sqrt(11) - sqrt(11)))**2 + -4)*-4.\nAnswer: -6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.115 * 105.44\nAnswer: -12.1256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-1)\/(2\/(-80)) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7300801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 672172, 1344427, 2016682, 2688937?\n\"Answer: 672255*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 60. Let h = v + 16. What is the smallest common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*r + 1. Suppose 5*u = 2*d - 5 - r, 4*u = 0. Let a(k) = k**3 - 8*k**2 + 3*k + 6. Let m be a(8). Solve -5 = -2*z - 3*w, 0 = z + d*w + 10 - m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)\/m)**(20\/9))**(-20) assuming m is positive.\nAnswer: m**(2000\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5574244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 788329?\nAnswer: 36263134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 129699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**7)*x**(1\/3) assuming x is positive.\nAnswer: x**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 27*z - 103. Let n be c(-44). What is the second derivative of -n*u**5 + 10 + u + 1168*u**5 - u**3 - 579*u**5 wrt u?\nAnswer: -1120*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let d = x - 0. Suppose 0 = -d*j + j + 52. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let t(x) be the third derivative of -x**5\/20 + x**4\/8 - x**3\/2 - 76834*x**2. What is t(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**2*y**3 + 609*h**2 + 3*h*y**2 - 5*y**3 wrt y.\nAnswer: 21*h**2*y**2 + 6*h*y - 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 2897827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llsdsvhldlfhsv. What is prob of picking 1 l and 1 v?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 710068.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 3*d**2 - d. Let g be y(-2). Let n be -1*(-2 + 1)*g. Suppose -5*q + n - 1 = 0. Solve -q + 3 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*b**3*w**2 + 544*b**3*w - 3*b**2*w**2 - 5*b*w - 5*w**2 - 1 wrt w?\nAnswer: 142*b**3 - 6*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = f + 19, 12*f = 8*f - 3*z - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d - 14*d + 12, -5*j + 2*d = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*r**3 - 30*r**3 - 509*r + 367*r + (5 - 1 - 2)*(-r**3 - 4*r**3 + 4*r**3) + 2*r**2 - 3*r**3 - 2*r**2.\nAnswer: -3*r**3 - 142*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/972670 and -113\/6.\nAnswer: 2918010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.18. Let i = 2.94 + r. Sort 4, i, -2\/13.\nAnswer: -2\/13, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001011111100110 (base 2) to base 15\nAnswer: b7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167843 is divided by 2664.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*l - 3878 + 19228, 0 = 2*l - h - 6141. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = t - 33. Let z = t - 13. Let h be -2 + -7 + z - -1. Which is the third biggest value? (a) h (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 15\/85177934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 463043351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 8. Give s(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12031 (base 4) to base 15.\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 459*l**2 - 8*l + 9. Let a(u) = -u**2 - u + 43. Let r be a(6). List the prime factors of p(r).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - ((-52)\/20 + 5))\/(27\/(-45)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -12 + 292. Suppose -y*j = -16*j + 95. What is the closest to 7 in j, 3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175086 (base 13) to base 2.\nAnswer: 10001110001010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*(-128)\/((-200704)\/4459)?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -7*k - 1828. Calculate the common denominator of 43\/2 and 6\/((-4080)\/k) - 2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8615\/203 or 41?\nAnswer: 8615\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*o + 5642, 21*o - 17*o - n - 4516 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2 - 3*u + 7. Let n(z) = 15*z**2 + 5*z - 15. Give 3*n(y) + 5*t(y).\nAnswer: 15*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:54 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 4*u + 6, 5*u + 8 = f. Let j(l) = -2*l + 56. Let v be j(39). What is the third biggest value in f, v, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/10 - r**2. Give n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/7)*a*a\/((a\/(a**(2\/15)\/a*a))\/a*a)*a*a)\/((((a*a**7*a)\/a*a)\/a)\/a**8))\/(a**11\/(a**0*a))**(-6\/25) assuming a is positive.\nAnswer: a**(566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7828871 - -26.07\nAnswer: -7828844.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 24 + (0 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -11. Let v(n) = -n**3 - 5*n**2 + n + 2. Let t be v(-5). Let q = -25 + 27. Put q, t, a in descending order.\nAnswer: q, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - -14 - 15 - 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -551 - -1048. What are the prime factors of q?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 + 2)*2\/(-4). Suppose 3*l - p = -3*y + 3, 3*y - 2 = -l. Suppose l*o = -2*o + 56. Solve -5 = 3*v - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 3. Let o be s(-3). Let n be (3 - o)*(-1 + 2). Is 110\/3 + 1\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223049631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80404*11\nAnswer: 884444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -30501986 <= -30501984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5\/2*y**2 + 265\/4*y**4 - 233 + 7*y + 0*y**3. Find the second derivative of x(h) wrt h.\nAnswer: 1590*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17795 + 0?\nAnswer: 17795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**3*y**2 - 860*b**2*k*y**2 + 2*b*y**2 + 25*k*y**2 + 275*k*y wrt b?\nAnswer: -42*b*y**2 - 1720*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 780086, 780070, 780056, 780044?\n\"Answer: n**2 - 19*n + 780104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 117*x**2 + 7*x + 7. Is l(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose -3*x - 2 = -7*x + 5*n, -g*n = -2*x. Suppose -x*l + 0*l = 4*y - 20, -16 = -2*l - 4*y. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 + 2 = -n, w - 5*n = -26. Let b be (0 - -3) + (70 - 76). Let h be (b\/(-18))\/w - 7\/(-42). Solve 0 = -h*q - 2*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13614 (base 9) to base 5\nAnswer: -243442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 - 1136*r**4 + 105984*r**3 - 3096576*r**2 - 14155776*r.\nAnswer: 4*r*(r - 96)**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 169*a**2 + 19*a + 37. List the prime factors of f(-3).\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, -21 in increasing order.\nAnswer: -21, -5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3462898, 6925766, 10388642, 13851526, 17314418, 20777318?\nAnswer: 24240226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - -0.41. Let u = 0.8 - 1.3. Let l = u - 0. What is the third biggest value in l, b, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, e: 11}. Give prob of sequence ttt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229.67 rounded to zero decimal places?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223008 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:20 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 898378*j + 16170480.\nAnswer: (j + 18)*(j + 898360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 11\/8*x**3 - 21\/4*x**2 - 1\/8*x**4 + 97*x. Factor d(f).\nAnswer: -3*(f + 2)*(2*f + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*t**2 - 2 + 160*t**2 + 2 + 155*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -173, -363, -457, -449, -333, -103, 247?\n\"Answer: x**3 + 42*x**2 - 323*x + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/(-6) - -5. Let k(q) = w*q - 3*q - 4*q + 0*q. Let a(m) = -3*m**2. What is a(k(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6694a (base 13) to base 4\nAnswer: -231130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 145923053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3 - 0)\/((-2)\/(-8)). Suppose 14 + 30 = u*x. What is the highest common divisor of x and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Calculate the least common multiple of x(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + (15 - (-17 + (7 - -6)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1817212 and 232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 457*l**2\/2 - 87*l - 22. Differentiate a(d) with respect to d.\nAnswer: 457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*b**2 + 6\/7*b - 4\/7 = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*c**2 - 9*c + 9*c)*(-16*c + 32*c - 16 - 13*c) as d*c**2 + l + v*c + y*c**3 and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23400, -22275, -21168, -20079?\n\"Answer: -9*k**2 + 1152*k - 24543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5009 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/114 - -3\/76. Let x(r) be the second derivative of 0 + 2*r + 1\/120*r**6 - 1\/8*r**2 + g*r**3 - 1\/40*r**5 + 0*r**4. Solve x(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7\/5)*a)\/a**(-9))**(9\/5) assuming a is positive.\nAnswer: a**(387\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173092 and 10028.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 10*f - 2. Let v(x) = x**2 - 11*x + 3. Suppose 0 = -2*z - 3*z - 30. Let h = -12 - -7. Let t(w) = h*v(w) + z*l(w). Give t(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 12:53 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521330867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10068\/325, 1\/7, -3.8 in decreasing order.\nAnswer: 1\/7, -3.8, -5, -10068\/325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2 - (5 - 10)) + 8)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -9\/4, -4, -30\/13, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1124*y**2.\nAnswer: 2*y**2*(y + 562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = 5*d, 191 = 2*b - d. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -58129?\nAnswer: 2\/58129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*i**4\/7 + 2530*i**3\/7 + 10180*i**2\/7 - 6600*i\/7 + 432\/7 = 0. Calculate i.\nAnswer: -18, -6, 2\/27, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9998407.\nAnswer: 1033, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102003 + -153?\nAnswer: -102156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1939159*m**3*o**2 - 12*m**3*o + 18*m**2*o**2 - m**2 + 62*m*o**2 - 249*m*o + o**2 wrt m.\nAnswer: 11634954*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1320230 (base 5) to base 11\nAnswer: -18853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 - 2*u. Let z(q) be the first derivative of 11\/2*q**2 + 2 + q**4 + 0*q + 2*q**3. Let y(r) = -11*m(r) - 2*z(r). Factor y(g).\nAnswer: g**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0932957 rounded to four decimal places?\nAnswer: 0.0933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127479 and 5.\nAnswer: 637395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + 0*m**2 + 6*m**2)*((-3 + 4 - 4)*(3*m + 0*m + m) + (3 + 3 - 4)*(-10*m - 2*m - 2*m)) in the form c*m**2 + y + f*m**3 + w*m and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9)*d**6*d)\/(d**(-1\/2))**(-35)*(d*d**1\/d*d)**44\/(d*(d\/d**(-1)*d)\/d*d)**(14\/3) assuming d is positive.\nAnswer: d**(1073\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*n + 0*n = -24, 3*z + 8 = -4*n. Suppose 0 = 2*w - z*w - 258. Let q = w - -189. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.5. Let d = -242.84 - -244.84. What is the fourth biggest value in u, 5, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 + 9*v**2 - 5*v. Let x be s(2). Solve -3*i - 9 = -x*t - 1, 2*i - 5*t + 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009299206 rounded to six dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 + 178. Put n, 3, -5, 7 in increasing order.\nAnswer: -5, n, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.19708us in minutes?\nAnswer: 0.000001036618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78941 - 0.58.\nAnswer: -78941.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5016456, -5016537, -5016618, -5016699, -5016780?\n\"Answer: -81*g - 5016375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265877222 - 242.\nAnswer: 265876980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 46*g**2 + 2722*g - 75. Give q(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 - -232.0274. Let t = z - 0.0874. Let w = 2 + -2. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8976 and 11\/1224.\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2400, 4798, 7196, 9594?\nAnswer: 11992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**7\/105 - 41*o**6\/30 - 7*o**4\/24 - 12911*o**3\/6 - 1482*o**2. Find the first derivative of v(n) wrt n.\nAnswer: 8*n**3 - 492*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/225684 and 73\/714666?\nAnswer: 4287996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17078 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3128*p - 6329*p + 3047*p.\nAnswer: -154*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 225 = -7*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3373, 13496, 30367, 53986, 84353?\n\"Answer: 3374*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnpznwyy. Give prob of sequence ynzw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 5*u - 67. Let i be d(-17). Suppose w + 4*x = -82, 2*w + 3*x - 142 = 4*w. Let s = i + w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5838 and 435080842?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003202 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -3. Let a = x - -38. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -2*j - 8, 4*j + k + 9 = 0. Let v = 2 + j. Solve v = 2*z + r + 7, -3*z + 6*r - r = 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = 4. Let r(y) = 2*y**3 - 3*y**2 + 4*y - 2. What are the prime factors of r(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:35 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188745608.\nAnswer: 2, 31, 47, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588 and 35821044?\nAnswer: 250747308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 2, f: 5, w: 2}. What is prob of sequence jkjw?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*c + 5*c + 4 = 0, 1 = -3*b - 5*c. Solve u = -2*u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (170 - 172) + (2\/2 - -709). Solve -690*k + a*k = -162 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189067681 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: Express (29555 + 2*i - 29795 + i)*(2 - 5 + 4) + (i + 2*i + 0*i)*(2 + 0 - 4) as c*i + k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**5 - 4*s**5 + 3*s**5 - s**5 + 5*s**5 - 2*s**5 + (4*s**3 - 4*s**3 + 4*s**4)*(2*s + s - 4*s).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 17992955*q**2 + 16187258506075*q + 113311691199035.\nAnswer: 5*(q - 1799299)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v + 11 = -84*v - 3*x, 2*v - 28 = 4*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 0. Let v be -24*(0 - 4\/r). Let y be 16\/v*6\/(-4). Calculate the greatest common divisor of y and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f. Let q(n) = -8*n + 8*n + 23*n**2 - 27*n**2. Determine q(r(z)).\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3494, -6963, -10404, -13811, -17178, -20499, -23768, -26979?\n\"Answer: b**3 + 8*b**2 - 3500*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 51675 = 5*j - 21570, 3*x + 5*j - 43943 = 0. Suppose -8*v + 5*f - 3137 = -x, 2*f = 5*v - 7194. List the prime factors of v.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 33. Which is bigger: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 13*i**2 - 12*i - 3. Give s(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -193*t + 1934. Let f be g(10). Let d(q) = -41*q**2 + 6*q - 4. Let h(m) = 42*m**2 - 7*m + 5. Give f*h(v) + 5*d(v).\nAnswer: -37*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -957.\nAnswer: -287.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/152)\/((-30)\/(-80))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826058819, -826058818, -826058817, -826058816, -826058815, -826058814?\nAnswer: -826058813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 477 + -448. Solve 0 = 22*k - q*k - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23086 - 1246511\/54. What is the common denominator of y and -26\/21?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2286931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 9*p + 5. What is f(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.1604 (b) 1\/6 (c) -0.063 (d) 2\/5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**7\/42 - k**6\/3 + k**5\/20 + 5*k**4\/6 + 12*k. Solve q(o) = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 7*w + 2*w + w - 10. Let a be l(-11). Let m(k) = -12*k + 1. Calculate m(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/21 and 55\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628262605?\nAnswer: 5, 125652521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 41. Let u = -24 - p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140 + 29*s + 73 + 66 as x*s + j and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 211147648 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 768 and 449280.\nAnswer: 449280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53289 is divided by 13321.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -7170.776?\nAnswer: -243806.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1557*j*r**4 + j*r**3 + 21*j*r - j - 2*r**2 wrt r.\nAnswer: -37368*j*r + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 3. Let m(o) = -o - 2. Let g(v) = 3*m(v) - 2*z(v). Let s(k) = 7*k**2. Give s(g(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 + 1772*b**2\/3.\nAnswer: 4*b**2*(b + 443)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29259228 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a06 (base 16) in base 14?\nAnswer: 3cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 + 1. Let o be z(1). Let q be ((-20)\/(-12))\/((-6 - o)\/(-24)). Solve 5*g + 3*k = -q, 4*g + 5*k = -g - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(0*r**3 + 2*r**3 - 4*r**3) + (-5*r**2 + 4*r**2 + 0*r**2)*(9*r + 17*r - 8*r) as z + y*r + j*r**3 + t*r**2 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 3941189\nAnswer: 40\/3941189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1))\/h)**(-1\/3))**(-2\/59)*((h*h*h\/(h*h**(2\/5)))\/h)\/(h\/h**2)*h**(-1\/3)\/(h*h**(2\/5)) assuming h is positive.\nAnswer: h**(-36\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 94*r**2 - 950*r - 55. Determine w(10).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*v + 89, 3*v + 72 = -0*o + 3*o. Suppose 0*q + q - 81 = 0. Suppose -6 = 5*k - q. Solve 5*a = -0*w - 5*w + k, 4*a = 3*w - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-11 - 0) + 27.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-25))**40 assuming q is positive.\nAnswer: q**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {f: 4, a: 7, q: 2, r: 4, g: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 51.8, 4, -1, 1, -0.4, -1\/10 in descending order.\nAnswer: 51.8, 4, 1, -1\/10, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 45 = 142 + 23 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10464 and 2616.\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -29\/474?\nAnswer: -29\/474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztnjtznjqjztjz. What is prob of picking 2 n and 1 t?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13)*4 + -5).\nAnswer: -16*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000069078 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1616*a**4 + 559*a**3 + 2*a**2 - 6943589*a.\nAnswer: -19392*a**2 + 3354*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 1608*s\/5 + 646416\/5.\nAnswer: (s - 804)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/9 + (-4)\/18. Let j(b) = -b**2 + 0*b - 3*b - 4 + p*b**3 - b**3 + 5. Suppose 0 = 4*z + 11 - 19. What is j(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:27 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.15 - 171. Which is the second smallest value? (a) n (b) 1 (c) 7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -85. Calculate the remainder when 71 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) -87 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) -53 (c) 4 (d) 0.5 (e) -3 (f) 166\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k + 4 = 244. Let u(j) = j**3 + 4*j**2 - j - 7. Calculate u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -3\/100*j**5 + 0*j**3 + 0 + 0*j**2 - 1\/60*j**4 + j. Find c, given that r(c) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508 + 172 + 167 + 143*c + 169.\nAnswer: 143*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 - 444*l**3 - 1884*l**2 + 5084*l - 2760 = 0. Calculate l.\nAnswer: -6, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61058 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n - 55 + 26*n + 9*n + 12*n + 12*n + 13.\nAnswer: 4*n - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 283501, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v**2 + 54*v. What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-12704)\/(-2) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 + 0*v**3 + 10*v - 1\/12*v**4 + 0*v**2. Let n(a) = -15*a**2. What is t(n(y))?\nAnswer: -225*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 100073567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/2))**(-2\/21) assuming u is positive.\nAnswer: u**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22001352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174249759.\nAnswer: 3, 73, 795661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 14*l**2 + 749*l - 15976. What is t(19)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*p - 1261, -4*n = -17*p + 19*p - 2546. What are the prime factors of n?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/10)*c**10*c)**1 assuming c is positive.\nAnswer: c**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - o = -23, -5*o + 3*o = 10. Let z(k) = k**2 - 5*k + 1. Let t be z(n). Solve q = -2*q - t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*w + 6*w = 2, 2*l - 49 = 5*w. Suppose -2*i + 20 - l = 0. Solve -i*f = -4*o, -5*f - o - 3 - 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**2 + 43130*m - 93009845 = 0.\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.2 + 8. Let l = 30.2 - s. Is l less than -3\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((5 - -9) + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63813 is divided by 31304.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14 = j, 2*j + 8*n - 11*n = -2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 16 = 0. Suppose y = -3*y - i*p + 48, 5*y = 4*p + 15. What is the greatest common factor of y and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*j**3 - 325*j**2 - 258*j**3 + 325*j**2.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6552 and 19656?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 4*v + 2. Let u be q(2). Suppose t + 4*j + 1 = 2*j, 3*j - u = 5*t. Which is the closest to 0? (a) -11 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108950 - 13690 = 1732*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1676, -0.5, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + (sqrt(2) + 2)*1 + -4 + sqrt(4)\/sqrt(2) + 5 + (sqrt(2) - (sqrt(2) - (-2 + sqrt(2)))) + sqrt(72)*-4))**2.\nAnswer: -1000*sqrt(2) + 20025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5665271.\nAnswer: 487, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -13, 4 in decreasing order.\nAnswer: 9, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:05 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 117 times 0.07\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5047 - 3194. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5 - 1) + 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.139, -27\/29, 0.4, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 6*a + 3. Let i be w(-8). Suppose r - 3*s = i, -4*r - 3*s - 49 = -8*r. Solve 0*p - 3*p = -5*d, p = 5*d + r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48793605 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 20. Suppose -4*w = -v - 3*w + i, 3 = 3*w. Suppose v*s + 3*h - 115 = 0, 2*s - 41 - 31 = 4*h. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 32 = -6 + 2 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - 2*d - 4. Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = 0, -4*w + h + 8 = -257. Let b(y) = -y**3 - 4*y**2 - y - 8. Let g be b(-6). Let a = g - w. Solve 2*j - a = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5411 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64824073 to the power of 1\/2, to the nearest integer?\nAnswer: 8051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 64*t**4 + 302*t**3 - 484*t**2 - 720*t = 0.\nAnswer: -5, -1, 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420118.\nAnswer: 2, 23, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(75\/(-18))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -1, 52, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let c(a) = -16*a**2 + 3*a + 11. Let z(d) = -c(d) + s(d). Calculate the remainder when z(-3) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117110 and 5626180?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/9 (c) 0.2 (d) -0.1 (e) 2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and -0.00392?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 826 and 588?\nAnswer: 34692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 13*h - 5*r - 377990, 226794 = 3*h + 2*r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -1\/4 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 6*c**2 + 2. Let v be u(-6). Suppose 2*q = -5*f + 150, 0 = -v*f - 2*f + q + 133. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 99\/54. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 2 l when four letters picked without replacement from {h: 2, b: 4, l: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 476*j**2\/5 = 0. Calculate j.\nAnswer: -476\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**5 + u**4 + u**3 - u**2. Let n(x) = -x**5 + 4*x**4 - x**2 + x**3 - 3*x**4 + 0*x**3. Let k = -24 + 19. Let q(d) = k*n(d) + 4*s(d). Factor q(c).\nAnswer: c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 w, and 1 z when four letters picked without replacement from {n: 6, w: 4, z: 3}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2\/7 (c) 3 (d) 4 (e) 23805 (f) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1196.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40235 - 20100 - 20135 + 54*u**2.\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/845 and 47\/3392844.\nAnswer: 16964220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -45. Suppose -q*g - 2975 = -0*l - 4*l, 2*l + g = 1477. Suppose 230 = -5*k + l. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 - (8 + 1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1*-10*-1. Let h be l\/(-3 - 0) + -2. Solve 3*f = -5*n + 15, -3*f + h + 7 = 2*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 636 + 636)*(-4 + 1 + 1)*(93*i**3 + 2093 - 2093).\nAnswer: 558*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -5. Let p be ((-10)\/r)\/((-2)\/(-3)). Solve 4*j + p*h + 19 = 0, -2*j + 21 = -5*h - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 30 = 5*k - 10*k, -5*k + 50 = -5*t. Let b(x) = -x**3 + 2 - 7*x**2 - 3*x + 4*x**2 - x**2 + 7*x. Is b(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3169 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**5\/30 + m**4\/3 - 4*m**3\/3 - m**2\/2 + 3. Let h(g) be the second derivative of r(g). Factor h(w).\nAnswer: -2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*f + 795*f - 1580*f + 2629*f**3.\nAnswer: 2629*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/14)\/((5200\/(-1092))\/(-50)))\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-13 - 1275\/(-180)). What is the nearest to -4 in d, -1\/5, 4, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78643010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292\/13 - 3181\/104. What is the common denominator of j and 14\/(-4)*10\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.26 - -24. Let l be 316\/(-44) + 7 - -8*954\/(-1584). What is the closest to u in -1, l, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 30\/(-4))*(2 - -2). Find x, given that -y*x**2 + 8*x**3 - 24*x - 2*x**4 - 8 - 10*x**3 - 10*x**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 - 2*n + 1. Suppose -m = -h - 3, 0*h + 2*m = -5*h + 13. Let s be (h\/(-4))\/((-2)\/8). Determine d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5*m + 474461*g**4*m**2 - 31*g**2*m**2 - 8153*g**2 - m - 1 wrt g?\nAnswer: -120*g**2*m + 11387064*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/415 + -33871\/85905. Is -2 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 1347. What is the remainder when c(0) is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433 + 441. Suppose 12*w - 10*w = -b*w. Let y(h) = -h. Let n be y(-5). Solve 5*x - n = -w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 200*a + 161 - 199*a - 324 - 192*a + 590*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111111 (base 2) to base 13.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-28))\/(234\/(-84) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 18 = -t, -1184*l = -1188*l + 2*t + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 73*d - 72*d - 4*y, -5*y = -2*d + 41 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96\/80*(-18995)\/(-3).\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111223 (base 4) to base 15.\nAnswer: -b501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1038460 and 2740.\nAnswer: 1038460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2077338 divided by -1038669.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d + k - 126507, 4*k - 126513 = -5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84182, -168105, -252028, -335951, -419874?\n\"Answer: -83923*r - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 28 = -4*t, -243*k + 3*t = -248*k - 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2942 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: Suppose -4*i = 2*j - 6, -i - 2*j + 8 = -1. Let u(f) = -8*f - 3. Let g(c) = 95*c + 35. Let n(q) = 3*g(q) + 35*u(q). Give n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 45*g**2 + 23*g - 4. Let q be r(22). Solve 0 = 5*s - s - a - q, 0 = s + 3*a + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 561 = 5*l, -4*l - 12 = 0. Suppose 6*d - i = 9*d. Is 1\/3 + d\/(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.52 - 3.22. Let p = -3 - i. Which is the closest to -1? (a) -3 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83254735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2744, -22474, -76154, -180758, -353260, -610634?\nAnswer: -969854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(117)*1 - sqrt(117)) + 5)**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2)**(2\/27)*(q\/(q\/q**1))\/(q*(q\/(q**(-3\/5)\/q))\/q) assuming q is positive.\nAnswer: q**(-62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -26. Suppose -k - m*k + 72 = 0. What is the remainder when 24 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 789 - 92. Suppose 0*a = a + q. Let l be (a + -3)\/((-1)\/(-5)). What is l rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 11 + (0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -232700947.8 rounded to the nearest ten thousand?\nAnswer: -232700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 3, g: 2, e: 10, j: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -10, -2\/3745, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 20*b**2 - 46*b + 45. Let m be x(22). Let y be ((-2)\/(-2))\/(-21 + -2). Which is greater: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -397100 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 154 = -7*n. Solve 3*m + 5*r - 1 = -n, m - r + 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 2*o - 22 = -2*j, 0 = 5*j + 2*o - 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072097663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/2 - 5561*k**3\/3 - 2220*k**2 - 3623. What is the second derivative of o(b) wrt b?\nAnswer: 12*b - 11122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9420)\/45 + 0 + 4\/(-6). Let m = 2107 - w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/50 - 34\/4. Is b\/(-45) + (-2108)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196406882.\nAnswer: 2, 3, 11, 157, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3683, -7366, -11049?\n\"Answer: -3683*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640617 is divided by 1231?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crxuu. Give prob of sequence xr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2230187 - -5?\nAnswer: 2230192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -19) + 2 + -6 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let c = -0.99 - -0.59. Is c greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874768500 rounded to the nearest one hundred thousand?\nAnswer: 2874800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024 * -108081.\nAnswer: -2593.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 81 = -3*l. Let j(u) = -u**2 + 12*u - 20. Give j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**2 + 31. What are the prime factors of g(-17)?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 17716327 - (-3)\/15*-5. Let c = a - 1883671. Round c to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48785 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795731*b**3 + 709393*b?\nAnswer: 4774386*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -2*sqrt(102))*2)\/(-5*2*sqrt(6)).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7236 and 30873600?\nAnswer: 92620800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/((-45)\/(-150)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 4*h - 2*h, 2 = -2*d + 2*h. Suppose 2 = -d*r + 18. Calculate the lowest common multiple of r and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 28\/11, 0, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 3. What is the common denominator of (-26)\/6*(-21)\/p and 61\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -855 + 853. Let f = 11.98 + -12. Let m = 15.02 + f. Is m less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2679 plus 25840744?\nAnswer: 25840744.2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 19*w**2 + 50*w + 26. Give d(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 - (9 - 10) - (-2 - 10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 70*l**3 + 6*l**2 - 18*l. Let k(n) = -24*n**3 - 2*n**2 + 6*n. Give -5*a(s) - 14*k(s).\nAnswer: -14*s**3 - 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33213, -36898, -40583, -44268, -47953?\nAnswer: -51638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 509966 divided by -29998?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Differentiate -12*s**2 + 12*s**2 - 14*s**g - 1 - 13 with respect to s.\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 5*y**2\/2 + 17*y + 5811. Let g(q) = -q - q + 4 + 3*q. Give 9*g(b) - 2*m(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:41 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -39. Put 5, 0, -3, z in decreasing order.\nAnswer: 5, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v + v**2 + 2089118*v**4 - v**3 + 14 - 2089116*v**4 + 13 + v to z*v + o + w*v**4 + h*v**3 + r*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178674*a**3 + 340*a + 135778783?\nAnswer: -536022*a**2 + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*m - 229*m + 4*x = -60, -m - x - 16 + 1 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*m + 17 - 25 + 8.\nAnswer: 165*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w - w + 5*w)*(-14 + 2*w + 22 - 3*w) to the form k*w**2 + f*w + m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 144 = -5*w - 24, w - 24 = 3*q. Let o be ((-128)\/w)\/((-28)\/(-138)). Let b = o + 26. Is 0 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1373*m**6 + 2*m**4 - 10*m**2 - 41?\nAnswer: -164760*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 670 - 350. Let z = g + -4802\/15. What is the third smallest value in -4, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -710 - -471. Let v = -5972488 + 5972726.9899. Let m = s + v. Round m to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/16520 and -41\/112.\nAnswer: 33040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:57 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250 - -274) + (13 + 0 + -1 - 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76352 and 20?\nAnswer: 381760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 8. Let b be u(-6). Let z be (-517)\/(-165) + b\/30. Suppose m = -z + 23. Solve 4*r + m = 0, v - r - 11 = 2*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -873 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42689808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z. Let t(d) = 15*d**2 - 357250*d. Give t(m(w)).\nAnswer: 135*w**2 + 1071750*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1)*6.\nAnswer: 6 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let a be f(-1). Let w(z) = -12*z - 1. Let i be w(-1). Solve -a*t - i = -3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 100. Let w be 1\/(-7 + 8)*4\/2. Solve x + 1 = 5*y + w, -4*y = 5*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.52 - 7.5. Let z = 6.02 - u. Put 2\/7, z, -4, -1\/43 in ascending order.\nAnswer: -4, -1\/43, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 4*l - 5. Let z(d) = -3*d**2 + 3*d + 4. Let w(p) = -4*h(p) - 5*z(p). Let x(u) = 6*u**2 - 3*u. Determine 5*w(t) + x(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415808147?\nAnswer: 61, 6816527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -584, -1957, -4618, -8993, -15508, -24589?\nAnswer: -36662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/2)\/(5\/(-10)). Let g = 15 - o. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2815799, 5631624, 8447449?\n\"Answer: 2815825*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 7*t**2\/2 - 1. Let w(v) = -v**2 - 4*v - 1. Let n be w(-3). Suppose n = -0*k + 2*k. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33539\/552 + -544\/69. Let r = 53 - g. Let f = -31.5 - -32. What is the smallest value in f, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 4 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16036*i - 240542. Determine x(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 2 + 0 + 5 + -1.\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6876 and 10314.\nAnswer: 20628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*(295 + 1)\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:26 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1183.6*2.1.\nAnswer: -2485.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 3. Let w(f) = -16*f - 14. Let g(s) = -28*m(s) - 6*w(s). Let o(u) = 15*u + 6*u - 38*u + 15*u. Calculate g(o(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 43, 989 in ascending order.\nAnswer: -5, 1, 43, 989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 times 954\nAnswer: -419.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -3704\nAnswer: -65\/3704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000123627564 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enzueeeeueumeuz. What is prob of picking 2 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134000 = 7*y - 6*y. Round y to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(10\/10*-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + 2*sqrt(13) + (sqrt(13) - (0 + sqrt(208) - sqrt(208))))**2 - (4*(sqrt(13) + 0) + 2 + sqrt(468)).\nAnswer: -10*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 17. Let i be g(-9). Let u be (220\/14)\/(i\/(-56)). Suppose -3*p - 3*n + u = -1, p - 2*n - 40 = 0. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1711, -9476, -30491, -71380, -138767, -239276, -379531?\nAnswer: -566156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 602, 0.0249, -0.1, 5, -0.15?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let r be g\/(-8) + 62\/(-8). Let s be ((-4)\/r)\/(2\/64). Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 229, -2 in increasing order.\nAnswer: -2, -0.2, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:18 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-1703)\/91 - -19). Let x = 78 + -47. Which is the closest to 1\/2? (a) x (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2517313 minutes to nanoseconds.\nAnswer: 15103878000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-160)\/(-550)*20\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3484829?\nAnswer: 3484829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 50*h**2 - 47*h - 18. What is a(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(156)\/sqrt(3)*-6)\/(sqrt(96)\/sqrt(6)) + -2)*6.\nAnswer: -90*sqrt(13) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33222, -66461, -99708, -132963?\nAnswer: -166226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -5, -139, 3 in increasing order.\nAnswer: -139, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5139*l**3 + 13*l - 1764. Let n(q) = 2569*q**3 - 6*q + 877. Let b(r) = 13*n(r) + 6*v(r). Differentiate b(k) wrt k.\nAnswer: 7689*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1447138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71321 and 30287?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6717*n + 69193 + 22732 + 2113 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5294*s - 4232*s + 5702*s. Let y(u) = -3*u**2. What is y(h(g))?\nAnswer: -43868928*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/28 + v**5\/10 - 12*v**2. Find the third derivative of f(o) wrt o.\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6862\/(-438)*3\/(-18) and -97\/1502?\nAnswer: 13518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97353785 and 26865.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*m - 423*m = 36. Suppose -m*n = 1218 + 444. Is -277 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/(x*x\/(x\/x**(2\/19))))\/(x**(-17)*x*x*x*x**(1\/7)*x) assuming x is positive.\nAnswer: x**(2361\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:21 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 6 = 2*r - h, r - 5*h - 22 = 0. Let l(i) = i**3 - 2*i**2 + 2*i - 1. Let v be l(r). Sort v, -3, -2 in decreasing order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1344?\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*y**2 + 7*y**3 + 15*y**2)*(0*y + 2*y + 4 - 4*y) as n*y**2 + u*y**3 + z*y + m*y**4 + v and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269333\/83 - 3245. Which is the fifth biggest value? (a) -3 (b) 1 (c) t (d) -3\/2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -0.2. Let y = 3.1 - 3. Which is the closest to m? (a) -5 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 15*v**2 + 3*v + 9. Give o(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/78 and -101\/16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6651683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36207461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 504273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8044, -7867, -7572, -7159, -6628, -5979?\n\"Answer: 59*l**2 - 8103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 11 + 14\/((-13020)\/7870). Does i = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 9*y + 3. Let v be i(9). Suppose -3*d + 2*m + 64 = 0, -v*d + m = 2*m - 67. What is the smallest common multiple of d and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 2. Let h be z(-6). What is the third derivative of -8*a**h - a**6 + a**2 + 0*a**2 + 8*a**4 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2 + 2*s + 9 - 5*s. Determine v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**16)**(29\/2)*n**27*n*n**7)**(6\/13) assuming n is positive.\nAnswer: n**(1602\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-45) - (-256)\/(-230).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19350 and 28800.\nAnswer: 1238400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348763 divided by -8.\nAnswer: 1348763\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -902*m**3 - 3*m**2 - 713*m - 3. Let b(l) = -l**3 + l**2 + l + 1. Let f(r) = -3*b(r) - w(r). What is the second derivative of f(v) wrt v?\nAnswer: 5430*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166\/67 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1\/4*d**4 - 16*d - 4 + 13*d**2 - 11\/3*d**3. Find z, given that t(z) = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53432344*a**3 + a**2 + 4*a + 11985378 wrt a.\nAnswer: 320594064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355056 divided by 53.\nAnswer: -1355056\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, -80, -91, -106?\n\"Answer: -2*x**2 - x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 330, 345, 360, 375, 390, 405?\n\"Answer: 15*r + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqwwqwwww. Give prob of sequence wwq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448)*-3 - (1 + sqrt(448) + sqrt(448)) - (sqrt(7) + sqrt(686)\/sqrt(2) - sqrt(756)\/sqrt(3)))**2.\nAnswer: 68*sqrt(7) + 8093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 12*w**2 - 17*w**2 - 104*w + 28*w - 3 + 26*w**2 to h*w**2 + u + i*w and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2917.83 + -2792. Round s to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6790\/388)\/(15\/(-20)*(-2)\/3)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106 - 7?\nAnswer: ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 + -5.84. Let r = -6.02 - d. Let f = 31 + -36. What is the nearest to 1\/3 in r, f, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/746 and 91\/2092.\nAnswer: 780316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082280933?\nAnswer: 3, 311, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381757, 763703, 1145667, 1527655, 1909673, 2291727, 2673823, 3055967?\nAnswer: 3438165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48951863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23936 - -23902. Let b(q) = -8*q - 273. Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c0 (base 16) in base 7?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 175.\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895619?\nAnswer: 229, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -167061*t**2. Let j(z) = -2289*z. What is n(j(m))?\nAnswer: -875319617781*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*p - 14 = 0, -10*a - 5*p = -6*a - 29 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1681 - 74.9319. Let c = 75.10001687 + r. What is c rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3600 and 126800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m + 0 + 1 + 0.\nAnswer: 27*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2064 (base 12) to base 15\nAnswer: 10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512891219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 20*d - 23. Let i be h(8). Suppose -5*x + i + 28 = 0. What is the remainder when 62 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42151 + -4203?\nAnswer: -50354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 50. Which is the closest to -2.5? (a) -5 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 11.\nAnswer: 69\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) -30 (b) -1.1 (c) 0.4 (d) -2 (e) -0.3 (f) -1.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - -2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8 - 5*z**2 + 11 + 0 + z - z**3 - 2*z**2. Suppose -28 = 8*t + 36. What are the prime factors of y(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*u**3 + 2*p**3*u - 9*p - 214*u**3 - 5*u**2 wrt u?\nAnswer: -12*p**3 - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 17.845.\nAnswer: 18.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 + 9865572*h**4 + 10*h + 1525654?\nAnswer: 20*h**3 + 118386864*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(500)) + -3.\nAnswer: -40*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*h + 63 - 69, 4*i = 0. Solve b - h*d = 0, -b + 0*b + 4*d + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 12.01. Let v = 13 - l. What is the nearest to 2\/9 in 3, v, 1.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049245673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -1\/3, -80123, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4316*n - 1003. What is the units digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - -71 - (-28 + 22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose u = -4*p + 16, -14 = -t*u - 3*p + p. Which is the second smallest value? (a) 2 (b) -3 (c) 6\/7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -15698, -222\/7?\nAnswer: -15698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*p + 222 = 0, 2*u + p - 48 - 42 = 0. Let h(d) = -71*d**3 - 6*d + 7 + 116*d**3 - u*d**3 + 1 + 0*d + 8*d**2. Calculate h(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 254740670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 5*m - 12. Let x(p) = -10*p**2 - 16*p - 35. Let v(h) = 2*x(h) - 7*z(h). Is 21 a factor of v(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1289 (base 15) to base 16\nAnswer: -f72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 5*t - 5. Calculate g(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.5. Let u = 7.54 - 38.84. Let j = u + 31. Which is the smallest value? (a) j (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (83 - 60) - (1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-14 - -10) - (-1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - r = 21 - 19, 4*r = 3*l - 22. Let f be -1 + 0 - -2 - 1. Factor f - 2\/3*t**l + 2\/3*t.\nAnswer: -2*t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -914 - -909. What is the nearest to 0 in -4, 29, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 + i - 7. Let c be j(7). Let b(d) = d**2 + 4*d - 5. Let v be b(-4). Put -1, v, c in descending order.\nAnswer: c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006805 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -66733.\nAnswer: 5\/66733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*h - 194 = -6*n, h - 40 = -n. What is the remainder when n is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3 + 0 - h + 4*h. Let n be -1 + (-2)\/((-8)\/(-4)). Let b be (n\/(-10) - 1)\/((-2)\/(-10)). Give s(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 5*z - 3. Suppose -313 = -109*t + 123. Let v(b) = 4*b**2 - 9*b + 6. Determine t*v(p) + 9*n(p).\nAnswer: -2*p**2 + 9*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3726213*p**5 + 3870985*p wrt p?\nAnswer: 74524260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**42)**19\/((v**1\/v*v)**(-3\/29)\/(v**4*v*v**(1\/8)*v)) assuming v is positive.\nAnswer: v**(-60267\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 - -157.99719. Round d to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219578?\nAnswer: 2, 109789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2685, 2684, 2683, 2682, 2681?\nAnswer: 2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + (-26 - (-18 - 10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 112, -3\/100, -3\/215?\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1062, -1181, -1276, -1335, -1346, -1297, -1176?\n\"Answer: 2*g**3 - 133*g - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 12*z**2 - 19*z + 12. Let p be v(16). Suppose -2*x - 162 + p = -y, 0 = -2*x - 5*y + 594. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 672 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (0 + sqrt(567) - sqrt(567)) + -2 + sqrt(567)*1 + sqrt(567) + 1)*2)**2.\nAnswer: -576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8552.688 rounded to the nearest 100?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 - -126. Let z = c - -260\/3. Factor 2\/3*b**5 + 0 + z*b**4 + 0*b**2 + 0*b + 0*b**3.\nAnswer: 2*b**4*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - 2\/(14\/119). Is -2\/21 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 + 4*r + 2. Let k(a) = -4*a**2 - 13. Let w(z) = z**2 + 5*z - 2. Let g be w(-5). Give g*k(i) - 7*n(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t**2 - t. Let l = 0 - -1. Let j be d(l). Let n(i) = -18 - 2*i + j - 2*i. Calculate n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 14 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y - 79 = -56*y - 11*n, -y - n - 3 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*t = -2342 + 263 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Suppose h - x = 0, h = -j*x + 11 - 1. What is the first derivative of 0 + 3*l - 1 + l + h*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 - 2. Suppose 4*p + 5 + 39 = 0. Let r = 15 + p. Solve r*f + 7*d = 2*d + 22, 2*f - m*d = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 33*n - 22. Determine t(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455008408 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*t**2 - 38 - 4*t**4 - 48*t**3 - 81 - t**2 + 5*t**2 wrt t?\nAnswer: -16*t**3 - 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 7, k: 2, t: 1}. What is prob of sequence ckk?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 470244296 = 470244299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*l - 2*l**5 - 451*l + 196*l + 2)*(5 + 0 + 0)*(1 + 4 - 4).\nAnswer: -10*l**5 - 150*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 16. Suppose 2*v + 14 = 2*q, -6*v + m*v = 2*q + 1. Which is the nearest to -1? (a) q (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*48\/(-112). Let f = -3.1 + 3. Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/7, -5, 816631, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110302 (base 4) to base 12.\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 2*d + 17. Suppose -28 = -u - 0*u. What is the remainder when u is divided by c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*i - 62*i + 450930. What is i rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551845 is divided by 2475?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63 + 13*m**3 - 63 + 2 - 2 - m**3 + (m**3 + 5*m**3 - 4*m**3)*(6 - 4 - 4).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654092.1 decades to centuries.\nAnswer: 65409.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l**2 - 5 + 3*l**2 + 12*l**2 - 9 + 2*l to u*l + r + h*l**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-35)\/(-14). Let f(j) = -3*j**2 - 3*j**2 + 3*j**m + j**2. Let h(g) be the third derivative of g**4\/8 + g**2. What is h(f(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/10*(-4)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 248*l - 16 - 14 + 47.\nAnswer: 248*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 234.1?\nAnswer: -234.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -w + 18*b - 6*b + 490, 28*b = -42*w + 42*w - 1148 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 8*c**2 - 5*c - 9. Let y be x(7). Let d be -225 - (-5 - (-7 + y)). Is 14 a factor of (1 - -1)\/((-12)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21820154, 21820148, 21820142, 21820136?\nAnswer: 21820130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*q**3 + 59 + 28*q - 58 + 75*q**3 + 6*q**2 - 151*q**3 to i*q**3 + f*q**2 + w + x*q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 29 = 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19152801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 87. What is the second derivative of 35*w**2 - v*w - 47*w + 35*w wrt w?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -643 smaller than -697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w + 413 - 413)*((0 + 2*w + 0)*(-w + w - 2*w) - w**2 + 0*w + 0*w).\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -47. Solve -3*y = 4*o + 16, 0*o = 5*o - 5*y - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**21*g*g*g**(-2\/47) assuming g is positive.\nAnswer: g**(1079\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 1788, 4010, 7114, 11100?\nAnswer: 15968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6928.208 nanometers to kilometers.\nAnswer: 0.000000006928208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((-60)\/(-33) - 0). Let d = 4540 + -4542. Let l = 19 - 15. What is the closest to d in 0.3, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 5. Let d(p) be the third derivative of -p**4\/24 + p**3\/6 - 4*p**2. Calculate 3*d(n) + s(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102665297?\nAnswer: 7, 14666471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6088 and 12568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -21, -32, -43, -54?\n\"Answer: -11*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ixxixii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4400586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.130995um in meters?\nAnswer: 0.000004130995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*10*(-5)\/(-150).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2024 divided by -4909\nAnswer: -2024\/4909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 12 + 6 - 1\/(-1). Let u(t) = -10*t**2 + 12*t - 12. Let s(a) = -a**2 + a - 1. Let b(j) = d*s(j) - u(j). Let g(w) = -w. Give g(b(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a**3 - 4*a**2 + 5*a + 30. Let r(k) = 6*k**3 - k**2 + 2*k + 10. Let p(q) = -11*r(q) + 4*x(q). Let c be p(-3). Which is greater: 27 or c?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1520.945 decades?\nAnswer: 15209.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 11 - 13. Suppose -3*b = 4*c - 119 - 552, -u*c - 641 = -3*b. Does 31 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*q - 123 = q, q - 78 = -3*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*u - 26 = 0, -35*k + 21*u - 23*u + 178 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2936, -5888, -8854, -11840, -14852, -17896, -20978, -24104?\nAnswer: -27280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 16*j - 5*u = -4*j - 22, -4*j + 2*u = 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.206 and 123.56?\nAnswer: 123.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n**3 + 8*n**2 - 31*n - 42. List the prime factors of z(5).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 15) in base 10?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.209954 and -0.396217.\nAnswer: -0.606171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37b8b (base 13) in base 7?\nAnswer: 606253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 90*u + 100515 = -211161. What are the prime factors of u?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 12, -1.\nAnswer: -3, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65 - -2) + 0 - (31 + 63 + -105)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5631874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2273 + 60.2873. Let r = i + -60. Let x = r + -0.0616. What is x rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/2 + 2)\/(-7 - -9). Suppose 2*x + 219 = -3*y + 12, o = 2*x + 5*y + 209. Let s = 161 + x. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(19) - (sqrt(19) - sqrt(171)))*4)**2 + sqrt(19) + (sqrt(1216) + 0)**2 + 2 - (-2 + ((1*sqrt(171))**2 + sqrt(171))*4)) + 4)*-4.\nAnswer: -13104 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53623 to three dps.\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16566759, -33133500, -49700241, -66266982, -82833723, -99400464?\n\"Answer: -16566741*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 21*m**2 + 89*m - 61. Calculate o(7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 511021 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*q**3*t**3 + 4*q**3 + 2*q**2*t**3 - 6*q*t**2 - 13*t**3 wrt q?\nAnswer: -60*q*t**3 + 24*q + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 12. Let q(m) = -3*m - 16. Let z be q(-7). Suppose z*c - 45 = -21*u + 16*u, 0 = 3*u - 2*c - 7. Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1315, -13, 4 in increasing order.\nAnswer: -23, -13, 4, 1315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30341 (base 5) in base 14?\nAnswer: -a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -17 - (5 + -1 - 2). Let x(r) = r**2 + 17*r - 36. Let v be x(b). Is -29*55\/10*-1*v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqqqqqqqqqqxxqqqqqq. What is prob of picking 3 x?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -13, 27, 93, 191, 327?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035035 divided by -45223?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 6. Let o = r - -1. Suppose c - 14 = o. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**7\/560 - i**6\/240 + 10*i**3\/3 + 7*i. Let b(x) be the second derivative of v(x). Factor b(t).\nAnswer: 3*t**2*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 825. Is (h - 3)\/(-2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.53, 1, 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 60. What is the common denominator of 4\/(-6) - (-454)\/o and (-4)\/6 + (-43)\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-142)\/4*10\/1. Let c = 570 + h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 812680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 - 8324253*m\/2 - 69293188008009\/2.\nAnswer: -(m + 16648506)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11722 divided by 256\nAnswer: 5861\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -14. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670330650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 1 + 1 + (b - 2*b + 0*b)*(-3*b + 3*b - 2*b) - b**2 + b**2 - b**2 - b**2 + 244597*b + 3623 + 1665 - 244596*b to x*b**2 + s + i*b and give s.\nAnswer: 5288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/30 + 11*c**5\/5 - 263*c**4\/6 + 154*c**3 - 3567*c**2. Let m(w) = 0. What is w?\nAnswer: 1, 11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1125068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i*i**(-4)\/i*i)*i)**35 assuming i is positive.\nAnswer: i**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 530976927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115 is divided by 212.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -17*c**5\/20 - c**4\/4 + 2*c**3\/3 - c**2\/2 + 11*c. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.62 and -112.83.\nAnswer: 69.9546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**5\/20 - 8*j**3 + 316*j. Find h such that w(h) = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8345 + 9218. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p**4*u - 7*p**2*u**3 + 3247*p*u**3 wrt p?\nAnswer: 120*p**2*u - 14*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/9 + 1277*h**2\/6 - 426*h + 8405. Let o(i) = 0. What is i?\nAnswer: -1278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 31*j - 177. What is d(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39098, -39099, -39100, -39101?\nAnswer: -39102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 3*d - 7. Let o be f(-5). Solve 0*z + 7 = z + 5*p, -o*z - 7 = p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d + 2*z - 3140 = 0, 0 = -5*z. Suppose 5*h - d - 1270 = -3*c, -5*c - 2055 = -5*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*4\/(-60)*3. Let r = -3 + 2. Let f be -2*(r\/(-2) - (2 + 1)). Sort q, f, -3, -3\/8.\nAnswer: -3, -3\/8, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795, 6257, 21087, 49971, 97595, 168645, 267807, 399767?\nAnswer: 569211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000950198316 to five decimal places.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -10. Which is the nearest to 0.1? (a) 3\/7 (b) l (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 5*w - 41, -25 = -5*w. Let r = 1129 - u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*v - 2*v = -8, 4*v = -16. Suppose 3*q = w, -i - 4*q = -5 - 8. Solve i + 5 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*h - 1. Let v be (-31)\/(-3) - h\/6. Suppose -5 = -3*n + 3*i + 4, i = 3*n - v. Let r(l) = -l**3 + 4*l**2 + 4*l - 4. Give r(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045306 at most as big as 30045305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssmsssssssssms. Give prob of sequence sss.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1\/2*y**4 + 1 + 0*y**2 - 4\/3*y**3 + 0*y. Factor h(o).\nAnswer: -2*o**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1. Let p(i) = 7*i + 3. Let l(r) = -4*n(r) + p(r). Give l(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332218681 to the nearest integer?\nAnswer: 36500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.052 in 270, 0.5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46876*g + 12 = -46874*g - 5*f, -4*g = 4*f + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2020?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179\/33 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -7*m - 4*u + 32, 5*m - 3*u = -59. Suppose 0 = -32*n + 27*n - 10. What are the prime factors of m + 128 + (-3)\/2*n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 11. What is the highest common factor of 12 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -0.3 (b) 5 (c) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 - 7*z + 5. Let x be a(6). Let v(t) = -t**2 - 9*t - 11. Let w be v(-8). What is the units digit of 47\/(w + (3 - x))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 220*h**2 - 863*h + 214. Give t(-216).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/57 and 58\/41315.\nAnswer: 2354955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 4\/(-4))\/(-6 + 0)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - (4 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -19?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d**2 + 25951 - 6*d**4 - 25943 - 79*d**2 to k*d**3 + t*d + x*d**2 + j*d**4 + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 + 2*c + 2. Suppose -2 = 14*f + 12. Let g(k) = 3*k + 1. Calculate the remainder when g(6) is divided by o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/396)\/((-135)\/198)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/33 and -32\/389991.\nAnswer: 4289901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -43*i**6\/120 + 47*i**5\/12 - 2*i**2 - 3. What is the third derivative of t(x) wrt x?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.6, -45\/8, 0.01, -5, 6\/41?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 48. Does 8 divide 195\/4 - q\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*y - 0*c + 3, 3*y + c - 6 = 0. Solve y*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4 + 2*f + f - 2*f. Let q be i(4). Is 1\/36 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/((-1350)\/1183) - 3\/(675\/18) and 53\/459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -6*n + 2044. Let m be -7*(-18)\/n*(-15)\/(-4). Factor 1\/2*r**2 + 0 - m*r.\nAnswer: r*(r - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172328 divided by -13.\nAnswer: -13256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86999 + 435123\/5. Let -d*v**4 + 32\/5*v**3 + 2\/5 + 72\/5*v**2 + 22\/5*v = 0. Calculate v.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m + 2*m - 13*m + 5. Let x(q) = q. Let n(s) = -4*s + 6. Let f(y) = -n(y) + x(y). Give -3*f(b) - 4*l(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.41 - 4.73. Let v = s + 0.72. What is the fourth biggest value in -0.3, -0.13, 0.07, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*-1*sqrt(8))**2 + (sqrt(6) + sqrt(150) + sqrt(150)*1)\/((sqrt(81) + sqrt(9))\/sqrt(3)) + 1.\nAnswer: 11*sqrt(2)\/4 + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -53\/3. Which is the closest to x? (a) 5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 7*r**3 + 904. Let p(f) be the second derivative of f**3\/2 - 2*f. Calculate b(p(h)).\nAnswer: 189*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 53. Solve 2 = -u*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a1 (base 15) in base 16?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299577.\nAnswer: 3, 99859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 9, 1\/2, -458, -14.9 in increasing order.\nAnswer: -458, -14.9, 1\/4, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 3 - (-2 - -5). Suppose -4*x = 2*a + 14 + 6, -z*x = -5*a + 20. Sort -4, x, 3 in increasing order.\nAnswer: x, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 5*k)*(2 - 2 + 1) + 0*k + k - 3*k + 2*k - 3*k - 2*k + 16 + 22 + 2*k - 35.\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*k - 5*c, -5*k - 3*c - 1 = -22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037736 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(4 + -1)*-11. Suppose r = 4*z - 17. What is the remainder when 19 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 10. Suppose 25*i = -162 + 1637. Calculate the remainder when i is divided by z(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*r + 5*m - 15, -7 = r - 4*m. Suppose -8*b + 390 + 74 = 0. Suppose b - 4 = 6*a. Calculate the highest common factor of r and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -201291.\nAnswer: 2\/201291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -582 * 3.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22918 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/11)*y*y\/(y**(1\/3)\/y))\/(y*y\/(y*y\/y**9)*(y\/y**(-2\/23))\/y))**(-2) assuming y is positive.\nAnswer: y**(7952\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2268 and 18718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - 2*sqrt(84)\/sqrt(4)) + (sqrt(84) - (sqrt(84) - sqrt(84)*-2) - sqrt(84)))\/(6*((sqrt(7) + sqrt(7)*3)*-6 - sqrt(7))).\nAnswer: 7*sqrt(3)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608.19 times 0.2?\nAnswer: 521.638","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -278 + 783. Suppose -4*q = -5*v + 337 + 526, -3*v - 4*q = -y. Suppose -27*m = -25*m - 70. Calculate the remainder when v is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(112) + 1) + sqrt(112) + 0 + -2 + -1*(2*sqrt(112) + -2))**2 + 4.\nAnswer: 48*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*1*sqrt(475)*2 - (-4 + 3 + sqrt(475)*2))*-6 + -2)**2.\nAnswer: 16800*sqrt(19) + 1710784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3521017 - 3521017 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 15*x**2 + 25*x - 17. Calculate o(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268695885 to the nearest integer?\nAnswer: 35619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -455*o + 31. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/2 + (5 - (-56)\/7 - (-44 - -68))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 32. Let k be 1 + 0 - 12*d. Suppose -115 = -5*j + 5*x, -j - 4*x + 79 = 4*j. Calculate the greatest common factor of j and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1744 - 0.1744. What is the second biggest value in -5, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + d**2 + d**2. Let j(a) = a + 6. Let b be j(-6). Let k(t) = -t**2 + b*t + 0*t. What is k(f(q))?\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39872, 159841, 359780, 639683, 999544, 1439357?\nAnswer: 1959116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 1 - o - 2*o + 0*o. Let i(a) = -5*a - 5. Let c(p) = -i(p) - 5*s(p). Let g(x) = -2*x**2. What is g(c(j))?\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -12. Let r be 12\/15*15\/6. Suppose r*c - t - 32 = 0, 0*c - 5*c = 4*t - 106. What is the least common multiple of c and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + -4*(-2 + sqrt(1088) + sqrt(1088) + sqrt(1088))*3)**2.\nAnswer: -11520*sqrt(17) + 1410443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -17 + (33 - ((-16 - -3) + 30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrqq when four letters picked without replacement from {q: 2, w: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900571367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 7*p - 93*p + 712 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23110103 - 1?\nAnswer: -23110104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15450 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 465.\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59685285 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: Calculate 24526663 divided by -3857.\nAnswer: -6359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 115930579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 532, 2244, 5158, 9274?\n\"Answer: 601*v**2 - 91*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -4*r**3\/3 + 2*r**2 - 4. Factor m(u).\nAnswer: -4*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 345\/3 + (18 - 25). Suppose 0 = -49*c + 46*c + m + 89, -4*c + 4*m = -s. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -237438?\nAnswer: -237438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*p**3 - 120*p**3 - 58*p**3)*((0*p - 4*p + 5*p)*(4*p - 4*p + 2*p) + 3*p**2 + p**2 - 3*p**2 - 3*p**2 - 2*p**2 + 6*p**2).\nAnswer: -1600*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 14 - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/((-6)\/(5519856\/8)))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9523110 and 47\/4444118.\nAnswer: 66661770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p - 9. Let c(h) = 3*h - 4. Let x(t) = t**2 - 6*t - 1. Let j be x(4). Let k(o) = j*c(o) + 4*l(o). Let f(n) = n. Give 2*f(a) + k(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 4:37 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 35. Suppose -4*x + 10 = x. Let d be 15\/((-124)\/(-56) - x). What is the greatest common divisor of d and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 5. Calculate h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3027.115 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/23 (b) 1 (c) 1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/280 and 139\/42.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 243 = 3*s, x + 2*s = -2*x + 696. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t + 38*t + 3*t - 3*t + 5*t + 0*t + (0 - 2*t + 0)*(-2 + 1 + 3).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15709, 3\/4, 3, -0.5 in ascending order.\nAnswer: -0.5, 3\/4, 3, 15709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19371.19 to the nearest one hundred.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 5. Give i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.9 and 1446500.\nAnswer: -21552850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/15)*h)\/h*h\/h**(7\/4))**(21\/4) assuming h is positive.\nAnswer: h**(-427\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 4*t - 3. Let y be p(-5). Suppose -2*w + 2*b = -16, -3*b + y = 5*w - 2*b. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 22\/77 + 19\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**3 + j**2 - j. Let i(v) = -14*v**3 + 3*v**2 - 2*v + 1. Let d be 33*(8\/(-6) + 2\/2). Let u(s) = d*x(s) + 4*i(s). Calculate u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31616? (a) -2\/9 (b) -3 (c) 5 (d) -1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6548*i = -6529*i - 380. Which is the fourth biggest value? (a) 3 (b) 3\/17 (c) 0.3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/12)\/((-10)\/(-4)). Which is the smallest value? (a) 3 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - 14*a + 29. Let g be z(3). Factor -4*t**3 - 11*t**5 + 9*t**5 + 6*t**4 + 0*t**g.\nAnswer: -2*t**3*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and 81\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h + 1. Let w(a) = 3*a. Let o(t) = -8*w(t) - 3*x(t). What is the smallest common multiple of o(3) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:39 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 6*j**2 + 4*j - 1. Let a(o) = -3*o**3 - 9*o**2 - 6*o + 2. Let n(r) = -5*a(r) - 8*p(r). Let h be n(-2). Put h, -5, 1 in ascending order.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(506\/8)\/23.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 2, -1 in descending order.\nAnswer: 103, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 20 = -3*o, -4*f = o - 11. Determine u so that f*u**4 - 2*u - 4*u**2 + 4*u - 2*u**5 + 0*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 63*o**2 + 76*o + 2796. Determine g(61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 7 - 1. Let p be m\/(-2 + (-5)\/(-4)). Suppose -4 = -o + p. Calculate the smallest common multiple of o and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6051584)\/(-128)*(-1 - 3014\/(-14)). What is x rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 3\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**2 - 18*s - 2. Let u = 10 - -2. Let b be j(u). Solve 3*f = b*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*z + 18, -5*z + 3*l - 38 + 2 = 0. Let s be (z\/63)\/(8\/(-6) - -2). Which is the closest to 2? (a) 3 (b) 2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (0 + 1))\/1. Let z(r) be the third derivative of -r**6\/120 - r**5\/10 + r**4\/4 + r**3\/2 + 9*r**2. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(180))**2 - (sqrt(120)*-1)\/sqrt(6))*-1.\nAnswer: -184 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-50)\/(-6). Suppose 0 = -4*q + 8*q + d. Let r be (-11)\/q - 18\/12. Solve -13 = -5*h + 2*v, h + r*v = 13 - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 42*r**2 + 8*r + 26. Let h(g) = 23*g**2 + 4*g + 13. Let c(s) = 11*h(s) - 6*z(s). Give c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/7 - 8*m**4\/7 + 12*m**3\/7 + 16*m**2\/7 - 16*m\/7.\nAnswer: -4*m*(m - 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/100? (a) -5 (b) 2 (c) 1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 167?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 22*w - 18. Let z be d(-23). Let m(g) = 5*g**2 - 11*g - 1. Let x(j) = 3*j**2 - 7*j - 1. Give z*m(o) - 8*x(o).\nAnswer: o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -2\/7 (c) 6 (d) -3\/7 (e) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*s - 3)*(-4*s**2 + 4*s**2 + 3*s**2) + 2*s**3 - s + s + (18*s**3 - 36*s**3 - 11*s**3)*(1 + 1 - 3) + 3*s**3 + 2*s**3 + s**3.\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 15. Let w be i(10). Let k = w - 3. Let t(v) = -v**2 - v + 3. Calculate the smallest common multiple of t(0) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let h be k(1). Let q(j) = -j**3 + 3*j**2 - 2*j + 1. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8501, 8543, 8619, 8729?\nAnswer: 8873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -75. Let r = h + -19. Let u = 11 - r. Solve -3*t = 3*x - 7*t + u, -6 = -3*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1043*g + 32343. What is v(31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1487427*u - 14. Let i be o(12). Let w = i + -5349110. Suppose -4*p + 3*p - w = 0. Round p to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 - 2*t + 3. Let h be b(2). Suppose -2*o = 5 + h. Let v(d) = d + 1. Determine v(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18439027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 979, -3, -46, -5, -1 in increasing order.\nAnswer: -46, -8, -6, -5, -3, -1, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-28)*h**(-28)*h*h*h\/(h\/h**(15\/7))*h*h**(-2\/29) assuming h is positive.\nAnswer: h**(-10338\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47005 is divided by 15648?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 18*p = -7 + 23, 13*p - 2 = 12*p - 4 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4543 + 13625 + 8*l**2 - 4540 - 4542. Let p(v) = 2*v - 3. What is p(j(r))?\nAnswer: 16*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -29 - 71. Let g = v - 48. Solve g*z - 6 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 6*a + 5. Let v be (a - 7) + (-9)\/(-4). Determine f, given that f**2 - 5\/4*f + v = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*m + 313*m = 4. Suppose -4*f = 8, 0 = a - m*f + 94049 + 171943. What is a rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/6 + 17*q. Let g be 5\/3 + 6\/(-9). Let o(v) = 11*v + 1. Let h(i) = g*o(i) + 2*m(i). Determine h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09154601+-0.178\nAnswer: -0.26954601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 6 = 10*x. Let t = 36 - 21. Calculate the greatest common divisor of x and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39666 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: How many minutes are there between 8:06 AM and 6:52 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6 (b) -2\/11 (c) -2 (d) 2\/31 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45977980 or 45977984?\nAnswer: 45977980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 13*a**2 - 2*a - 20. Let u be v(12). Suppose u = 24*p - 14*p. What is the greatest common factor of 970 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 5*m**3 - 3*m**3 + (-25*m**3 + 105*m**3 + 2*m**2 + 0*m**2)*(0 - 3 + 5).\nAnswer: 152*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 71*k. Let a(w) = w**2 + 3783*w. Calculate t(a(g)).\nAnswer: 71*g**2 + 268593*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1167408*n + 60984. Let g(f) = 19*f + 1. What is -60984*g(r) + o(r)?\nAnswer: 8712*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125 = -302*m + 4842 + 375 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(-2 - (1 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 2437, 5471, 9729, 15217, 21941, 29907, 39121?\nAnswer: 49589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 3*d + 5*p, 8*p - 3*p = -2*d - 69. Let z = 47435\/18 + -2636. Find the common denominator of z and 1\/4*(2 + d).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(170)*2 + -4*(sqrt(170)*-1 + sqrt(170)))\/(4*(sqrt(1000)*-1 + sqrt(10) + sqrt(10))).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/100)\/3 + (-1154)\/10 + -14\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:27 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 44. Let u be 28\/q + (-3)\/(-15). What is the second derivative of -72*f**3 - u*f**5 - 13*f - 6*f**5 + 72*f**3 wrt f?\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -43*h**6\/24 - 73*h**5\/15 + 4*h**2 + 5*h. Find the third derivative of z(l) wrt l.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7))**(-34)*(g*g**7)\/(g*g**6) assuming g is positive.\nAnswer: g**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*b, 4*n = 5*b - 10 - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2092 + -1421. What is the highest common factor of w and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 - 59*p**2 + 25*p**2 - 1 - 2*p)*(-4*p + 0*p - 31*p).\nAnswer: 1645*p**3 + 70*p**2 + 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183, 608, 1035, 1464, 1895, 2328, 2763?\n\"Answer: a**2 + 422*a - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5 = -4*f, -4*f - w + 13 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/18)\/(3 + 37\/(-12)). Solve -4*r - w = -30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-673)\/(-9) + (-4)\/(-18). Let w be 3 + 0 + -2 + t. Suppose 4*a = 2*x + 2*x - w, -5*a = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41995675.024 - -10.9?\nAnswer: -41995664.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 866 - 54a?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4223 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 13*r + 19*r - 214 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwsw when four letters picked without replacement from wwswswswwwwwwwwsws.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let r(f) = -3*f + 1. Let z(c) = 8*c + 2. Let u(v) = v**3 - 4*v**2 + 12*v - 46. Let k be u(4). Let g(o) = k*z(o) - 4*r(o). Determine w(g(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9 - 88084*c + 88091*c - c**2 + 2*c**2. Calculate p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240)*-3)\/(sqrt(12) - ((sqrt(132)\/sqrt(44) - sqrt(12)) + sqrt(12))))\/(-6*1*sqrt(1024)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 11876*h\/7 + 11878\/7.\nAnswer: -2*(h - 5939)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72795.3 and -761.\nAnswer: 72034.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {t: 1, q: 5, w: 11}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 472010, 1888980, 4250590, 7556834, 11807706, 17003200?\n\"Answer: -o**3 + 472326*o**2 - o - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = 6*z. What is the common denominator of (-1)\/((-140)\/(-67) - z) and 5\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-5)\/(-3)) - 2. Sort -2\/3, g, -0.1 in decreasing order.\nAnswer: -0.1, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) - (5 + (sqrt(2) - (sqrt(2) + sqrt(2) + -3)))))**2 + ((sqrt(2) - (sqrt(2) + sqrt(2) + (sqrt(1296)\/sqrt(8) - sqrt(2))))*-6)**2.\nAnswer: -24*sqrt(2) + 5876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n + 5*n. What is the second derivative of -q - 16 - q**n - 3*q**2 + 0*q**2 - 3*q**2 wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -57, -180, -415, -798, -1365?\nAnswer: -2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/14)\/m)**(-26)\/((m**(-1\/26)*m)\/(m\/((m*m**(-13\/3)*m)\/m)*m)) assuming m is positive.\nAnswer: m**(15569\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(70)\/sqrt(640))**2 + 2.\nAnswer: 5*sqrt(7)\/4 + 1735\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let o(b) = 2 - d + 2*b. Let t(f) = -2 + 2 + 3*f. What is t(o(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 290*c**3 + 305*c**2 + 590*c = 0 for c.\nAnswer: -59, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, k: 2, x: 1}. Give prob of sequence kk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 - o**2 + o - 1. Let f be n(1). Suppose -5*w = -2*m - 2, 5*m = -3*w + 29 - 3. Solve 4*b = 4*u + 28, w*u = -2*u - 4*b + f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25766*g - 25739*g - 3177 = 1791. What is the remainder when g is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 5 + (-6 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -12, 3, 24, 51?\n\"Answer: 3*l**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.575 decades in years?\nAnswer: 7265.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4 - (9 - (-1 + 1))) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5686058?\nAnswer: 2, 7, 17, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171\/44 - -70\/11. What is the common denominator of 99\/140 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -3*n**2 - n**3 - 6*n + 3*n**2 + n**2. Calculate the remainder when v(-10) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -94. Let d(f) = f**3 + 10*f - 11*f**2 - 11*f**2 + 5*f**2 + f**3 - 6. Calculate the least common multiple of d(8) and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211 (base 4) in base 7?\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/7*(-133)\/114.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261484, -262080, -263698, -266848, -272040, -279784, -290590?\nAnswer: -304968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u - 130. Let i(x) = 4*x - 78. Let h(z) = -6*b(z) + 10*i(z). Let f(p) = -18*p - 3. Let r(g) = 9*g + 2. Let a(y) = -2*f(y) - 5*r(y). What is h(a(c))?\nAnswer: 18*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 687313\/43 - 15985. Let r = w - -726\/215. Is r less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 + -0.6. Let g = 218 + -10. Let y = g + -1661\/8. What is the biggest value in y, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22347451 at least as big as -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2162, -4736, -7722, -11120, -14930, -19152, -23786?\nAnswer: -28832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 9802*o**2 - 18*o - 88218 = 0.\nAnswer: -4901, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(9\/(-8) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -366, -349, -316, -261, -178, -61?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 20115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016202 is divided by 14944?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15)*971\/4855*(-5)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -61. Let z(n) = 4*n**2 - n. Calculate z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(48) - (sqrt(12)\/sqrt(4) + 0))*-1 - (sqrt(3888)*1)\/(-1*sqrt(324)))**2.\nAnswer: 363\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 102. Let w be (1 - 0)\/((-1)\/(-3)). Suppose 4*u - w*u + 2 = 0. What is the third biggest value in -4, i, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248216451 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m + 4*w - 2, 0 = -m - w. Let z be ((-49)\/14 + 3)*m. Suppose -2*f = f - 6. Which is the closest to z? (a) f (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**6 - 1335*k**5 + 2*k**4 - 14757*k**2?\nAnswer: 360*k**3 - 80100*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1818, 1819, 1820, 1821, 1822?\n\"Answer: z + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.1168, 1\/36, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.840033 centuries to decades.\nAnswer: 48.40033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:56 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147261621 is divided by 21037371.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 30 = -2*h. Let i = h + 13. Sort i, -1, 2 in descending order.\nAnswer: 2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 - -16?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -522, -101, 4 in decreasing order.\nAnswer: 4, -101, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -18. Let p = g - -11. Sort -1, p, -2 in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgipq. What is prob of picking 1 q and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let d(q) = -q**3 + 4*q**2 + q - 4. Let c be d(4). Let o(w) = 0 - 5*w + c. What is g(o(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319*s**4 + 5 - 2 + s - 324*s**4 - 2*s - 6*s**2 to the form n*s**2 + h + b*s + v*s**3 + f*s**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 25, -28 = -5*i + i - 4*r. Suppose 5*t - 2 = h, -i*h - 4*t = h - 13. Suppose 3*k + 4 - 22 = 0. Calculate the greatest common factor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5542*j + 1752*j + 2934*j + 2611*j - 821696 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-16) + 2)\/(2 + -3). Which is the smallest value? (a) 0.3 (b) -0.2 (c) -6 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from {f: 7, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.7 and 0.517.\nAnswer: -21.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13291c (base 13) to base 2\nAnswer: -1110001000001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12015903 + 12015903 - 4247*j to a + t*j and give t.\nAnswer: -4247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123122 (base 5) to base 6.\nAnswer: 34055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 2. Let i(o) be the third derivative of o**4\/8 - 7*o**3\/6 + 2*o**2 - 146. Suppose -47 = -2*z - 5*j, z + j + j = 23. What is z*u(t) + 6*i(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10210.7869 and -0.02.\nAnswer: 204.215738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*f**2*r**2 - 2*f**2*u**3 + 745*f*r**2*u**3 - 6*f*r*u**2 + 5*r**2*u + 12*u**4 wrt u?\nAnswer: -12*f**2 + 4470*f*r**2 + 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -447 and -1707.5.\nAnswer: 763252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*(-12)\/(24\/(-5))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 68 = -p - 51, p - 1 = -r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 16. Suppose -p*u = -69 - 35. Let h = 26 + -16. Calculate the remainder when u is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 - 36*s**3 + 63 + 28 + 21*s**3 - 51)*(2 - 3 + 3).\nAnswer: -30*s**3 + 402","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120247 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: What is the third smallest value in -83, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 224 and 242 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-1855)\/(-21) - (-1 + 1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 8:59 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16355 - 16359. Put b, -3\/7, 59, -6 in increasing order.\nAnswer: -6, b, -3\/7, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 d when four letters picked without replacement from {d: 7, v: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483857 divided by 237.\nAnswer: -6261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 169 - 56 - 562*x - 55 - 58 + (-2 - 4 + 3)*(0*x - x - x) - 5*x + 4*x + 0*x.\nAnswer: -557*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 6*a**5\/5 - 112*a**4 + 8510*a**3\/3 - 2738*a**2 + 815. Determine i, given that z(i) = 0.\nAnswer: 0, 2\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51700 = -2097*o + 3131*o for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*z - b + 3*b, 5*z = -2*b - 66. Let a(s) = -s**2 - 12*s + 13. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/8 + 203*b**2 - 4. Let w(r) = 279*r**2. Give w(u(k)).\nAnswer: 2511*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and 129\/2067380.\nAnswer: 6202140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*o = 106*o - 458*o + 10393 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 30*u = -50 - 155. Solve -4*b = 22*q - 18*q - 12, -2*q + 12 = u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.512, -0.4, -1\/10, 29, 12 in increasing order.\nAnswer: -10.512, -0.4, -1\/10, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273299 - 60399199\/221. Let z = 10539\/3536 + v. Find the common denominator of z and (-490)\/(-75) + (-1)\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - v + 3. Let z(j) = -3*j**3 + 4 + j - 3*j - j**2 + 0*j. Let q be (28\/(-35))\/((-1)\/5). Let m(o) = q*k(o) - 3*z(o). Factor m(x).\nAnswer: x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 471*a + 41909. Give j(-89).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4527 at most -4467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*w**3 + 364*c**3*w**2 + 3044*c*w**6 - 27*c - 13*w**2 wrt w?\nAnswer: -12*c**3 + 365280*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0.4, -7, -2479?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0881 + 1.9119. Let h(q) = 3*q + 10. Let w be h(-5). Put -2, z, w, -3 in decreasing order.\nAnswer: z, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.58 + -0.68. What is the third smallest value in 0.1, i, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - 5*r**2. Let n(p) = -8*p. Determine i(n(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12651750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9019.\nAnswer: 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000067358989 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, -0.15, -0.3, -1\/7, -0.22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 541.18944 microseconds?\nAnswer: 0.0000001503304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -430205124.2 to the nearest ten thousand.\nAnswer: -430210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 66, 11, -116, -333, -658, -1109, -1704?\n\"Answer: -3*f**3 - 9*f**2 + 47*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/4 + 5*s. Let k(q) = -q + 7*q - 3*q + 5. Let u(j) = 4*j + 6. Let r(t) = -6*k(t) + 5*u(t). What is c(r(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 41*u**6\/60 - 7*u**4\/6 + 37*u**2 + 48*u. Let s(d) be the first derivative of h(d). Find the second derivative of s(b) wrt b.\nAnswer: 492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - 60\/(-7)) + 30\/21. Solve r*n - 6 = 4*d, -18*n - 4*d = -23*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 6*k - 7. Let h be j(-7). Let x be (-6)\/(-18)*(-4938)\/(-2). Suppose -8*n + x + 153 = h. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/391 (b) 0.4 (c) -1\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 - 5*y + 9. Let h(v) = -6*v**3 - 8*v + 14. Let f(p) = -5*h(p) + 8*r(p). What is the first derivative of f(q) wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = 27 + 4. Let k be (-5 - -13)*i\/8. Let a(m) = 6*m**3 - 2*m**2 - 2*m - 1. Give a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, -1\/3, 0.1, 5, -80, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.999 (b) -0.5 (c) -996\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*t + 5*j - 55 = -595*t, 0 = 83*t - 2*j - 488 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/135 + y**5\/30 - y**4\/54 - y**3\/9 + 2*y**2\/9 - y. Let f(p) = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(12\/7)\/(y**(-9)*y*y*y**(2\/23)) assuming y is positive.\nAnswer: y**(1389\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -5\/8, -1\/7 in increasing order.\nAnswer: -5\/8, -1\/7, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2 - 57*j + 403. Let a(x) = 5*x**2 - 29*x + 201. Let m(l) = 5*a(l) - 2*i(l). Let g be m(8). Solve 0 = 14*h - g*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3723 and 383112?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1194344.8 and -2036.3.\nAnswer: 1192308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -1 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.64 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**6 + 3*v**5 + 111*v**2 - 3*v. Let z(j) = -j**6 - j**5 - j. Let s(p) = h(p) - 3*z(p). Find the third derivative of s(b) wrt b.\nAnswer: 1200*b**3 + 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**6 + 13899*q**3 + 742640*q**2?\nAnswer: 2520*q**3 + 83394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33521 - -1.9.\nAnswer: -33519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvyvvvvvv. What is prob of sequence vvy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -i, -i + 3*i + 2*a - 14 = 0. Solve -i*o - 3*s - 11 = 0, -5 + 0 = 2*o + s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944335 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, -0.1, 0, -5\/4.\nAnswer: -5\/4, -2\/9, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + o - 3 = -114, 5*o + 111 = -3*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000138531 rounded to 7 dps?\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**2 - 110*f + 77. Determine o(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52)\/3)\/(224\/(-2520)). What is the highest common divisor of 150 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2205900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g + 6. Let v be s(-5). Let n(m) = -3*m**2 - 1 + 4*m**2 - 2*m**2 - 4*m + m. Give n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562815?\nAnswer: 5, 312563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2*s - 2)*(-4*s**2 + 3*s**2 + 6*s**2 + 2*s**3) - 888251*s**2 + 888251*s**2 - 614*s**4 + (4*s**3 - s**3 - s**3)*(s + 0*s - 2*s).\nAnswer: -620*s**4 - 6*s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 325862\nAnswer: 3258620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7661.\nAnswer: 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 29\/(145\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 12 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let h(a) = a**2 + a + 2. Let v be h(-2). Let d(n) = -4 + 2*n**2 + v. Determine d(t(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**4\/12 + d**2\/2 - 33*d. Let j(p) = -p**3 - 1. Calculate -2*i(n) - 2*j(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1644964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 - (0 - -2). Let n be 66\/188*(-8)\/(-72). Let w = n + 6\/47. Put w, m, 2\/13 in increasing order.\nAnswer: m, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - (-195)\/52. Put -5, q, -7 in increasing order.\nAnswer: -7, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u + 18. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3 + 18*l**2 + 101*l + 115. Let c be z(-8). Solve p + 0*p - 5 = 5*v, -4*p - 5*v = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -307*k**3 + 27*k**2 + 24*k - 1. Determine i(-1).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27*v**2 - 8*v - 6. Let t(u) = 53*u**2 - 15*u - 10. What is 3*t(d) - 5*y(d)?\nAnswer: 24*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*z**4 + 254*z**3 + z**2 + 340*z + 360758253?\nAnswer: 52*z**3 + 762*z**2 + 2*z + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630820309 to the power of 1\/2, to the nearest integer?\nAnswer: 25116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 15626?\nAnswer: -15621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6246 - 2229. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) 2 (b) -5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 120 - 2*b**2 - 4149*b + 4149*b + 113.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(2*y + 3 - 3)*(1 + 0 + 1)*(-2 + 2 - 3*y**2) to q*y**3 + m + c*y**2 + n*y and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45109463801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15440)\/(-6) - 12\/9. Suppose y = 3*k - 3221. Let t = -1348 + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -4102b4d?\nAnswer: 4102b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -84*z**2 - 27. Let f(b) = 12*b**2 + 4. Let w(h) = 27*f(h) + 4*m(h). Let v(u) = 5*u. What is v(w(g))?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14615682 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 - -18?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*(0 + -1). Let u be -3*6*2\/9. Let j be (-3)\/6*u\/10. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3104 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -47, -69, -91, -113, -135?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 1:43 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = h, -2*j = h - 6*j - 19. Suppose -5*y + 536 = -69. What is the highest common factor of y and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:57 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*q = -31, i + 6*q - 2*q = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:11 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78660443 - 14?\nAnswer: -78660457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010 (base 2) in base 11?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1351 - 1350. Let l be (f\/3*-3)\/(7\/35). Suppose 7*y = 2*y. Sort y, -3, l in decreasing order.\nAnswer: y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -63595, -2 in descending order.\nAnswer: 5\/4, -2, -63595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4, 0, 2, -13563.\nAnswer: -13563, -4, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*f**2 + 4*f**3 - 620*f**2 - 61*f**3 + 1857*f**2 - 616*f**2.\nAnswer: -57*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-228))\/((-2)\/42) - -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + x**2 + 4*x**2 - x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507 + 511. What is the closest to -0.1 in 5, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 + 698*y**3\/7 + 63414*y**2\/7 + 319410*y + 27524016\/7 = 0. What is y?\nAnswer: -232, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312 = 3*l + 5*w, -4*w = -4*l + w - 1726. Let t = 1318\/3 + l. Which is bigger: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u. Let l = -2 + 4. Let n be p(l). Suppose -5*b + 5*k + 90 = n, 0*k = k + 5. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18740 + 174?\nAnswer: -18555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s)\/s**(3\/7)*(s**(1\/4)*s)\/((((s*s*s\/(s\/(s*s**4)))\/s)\/s)\/s))\/((s**(2\/7)*s**(-4\/7)\/s)\/((s**(-1)*s)\/s**(-6))) assuming s is positive.\nAnswer: s**(143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 37. Solve 27 = -5*v - 2*u, 0 = -z*v - v + 4*u - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -86, -64, -22, 46?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g = 24*g - 27*g + 1311 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 304 + 0*v - 138 - 152 - 5*v. Let x = 14 - 10. Let n(i) = 2*i - 5. Calculate x*u(b) + 11*n(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:35 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2*b**3\/3 + 4*b**2 - 6*b + 3. What is c in o(c) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83473 + 1818?\nAnswer: 85190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*((h\/h**(1\/4))\/h*h)\/h*h)\/(h**(2\/7)\/h*h))\/(h**(-1\/6)\/(h*h*h\/(h\/(h\/(h*h**(-1)))))) assuming h is positive.\nAnswer: h**(557\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/(-6) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/2 - 14*w - 26. Let q(h) = 3*h**2 - 285. Calculate q(g(t)).\nAnswer: 27*t**2 - 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -77?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 15*h + 11*h + 2476, 4 = h. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let r(z) = 1068518973*z**2. Determine x(r(p)).\nAnswer: -1141732795660974729*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3762960814 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-3)\/1) - 0. Suppose -z + h = 4. Let k = 19 + z. What is the greatest common divisor of 165 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p + 23*p**2 + 26*p**2 - 95*p**2 + 27*p**2 + 21*p**2. Let u(s) = 4*s. Give n(u(t)).\nAnswer: 32*t**2 + 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-10 + 4) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.082 and 5.26.\nAnswer: -0.43132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*b = -53, 5*o + 3*b - 5*b - 247 = 0. Let u(k) = -2*k - 5. Let l be u(6). Let q = l + o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59444, 59443, 59442, 59441?\nAnswer: 59440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 - 166. Let w = 131 + r. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37450.3 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -340659498 divided by -15546\nAnswer: 21913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5070 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjjjcejcjjjrjjjjqq. What is prob of sequence qr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2209*101\/(208868\/44).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -14, -26, -42?\n\"Answer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 149531400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1231 greater than -13233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 7, 12?\n\"Answer: 5*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 22*n + 24. Let v(t) = t**2 - 8*t - 24. Let o be v(10). Let k be a(o). Let g = k - -69. Put 2, -3, g, -1 in increasing order.\nAnswer: -3, -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03003914 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/3, 11\/4, 6, -1\/8, 0.57?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229 + 218 - 115*o**2 - o**3 - 113*o**4 - 447 wrt o.\nAnswer: -2712*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + -20d8410?\nAnswer: -20d8424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 6. Determine a(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/61, -8, -1?\nAnswer: 11\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13198*j - 26385*j + 13186*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y - y**4 - 2*y**2 + 4 - 7*y + 0*y**2 as v*y**2 + c*y + f*y**4 + p + z*y**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190718798 to the nearest integer?\nAnswer: 13810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613976 divided by 62076.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**4 + 1909*n**2 - 953 with respect to n.\nAnswer: 4*n**3 + 3818*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -50, -71, -92, -113?\n\"Answer: -21*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:39 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 3:08 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 37*n**2 + 340*n - 335. Calculate q(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4077, -16287, -36605, -65001, -101445, -145907, -198357, -258765?\n\"Answer: 5*c**3 - 4084*c**2 + 7*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87324.2l?\nAnswer: 87324200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 4*q. Let t be f(-5). Let s = 111.9 + -112. Which is the nearest to s? (a) 3 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -47.\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1075*a - 2*v - 54 = -1065*a, 0 = 4*a + 3*v + 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, -1110, -1112, -1134, -1182, -1262, -1380?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, 3.\nAnswer: -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 94.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30646 divided by -5\nAnswer: 30646\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(125) + 1)**2.\nAnswer: -20*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1413599239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 151158 = 31*q + d, 4*q + 11*d = 120855. List the prime factors of q.\nAnswer: 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 150*l - 6151. Determine u(62).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 6*v - 8*v + 323, 0 = -4*h + 5*v + 265. Which is the second smallest value? (a) h (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187732273?\nAnswer: 3, 1427, 511033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11 = -23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2 - 4\/2. Suppose u = z + 3*y + 5 - 13, 5*z = -4*y + 18. Calculate the remainder when z is divided by (2\/10)\/((-1)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5*t)\/t*t**(-1\/7)*t*((t*t*t**(-1)\/t)\/t)**(1\/46)*(t**2\/t**(-1))\/(t**(-2\/3))**(-2\/7) assuming t is positive.\nAnswer: t**(1331\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v = -485*v - 5058 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 22*n + 27*n + 23*n + 17*n - 99*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8 - 4. Suppose 0 = -f + p + 4. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 1. Suppose -6*u + 17 = -3*u + 4*f, -f + 6 = u. Suppose 4*i = -u + 19. Let d be t(i). Put -4, d, 1 in descending order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - -10 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2))*n*n**(-33))\/(n\/n**(1\/12))**(3\/20) assuming n is positive.\nAnswer: n**(-2411\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*q**4 - 16*g*q**3 - 2*g*y**2 + 72*g*y + 15*q**6*y**2 - 2*q**2*y**2 - y**2 wrt q.\nAnswer: 72*g*q - 96*g + 1800*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 73839989.\nAnswer: 2\/73839989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*u + 5*m, -u + 0*m = 3*m - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -5*x**4\/4 - 29*x**3\/6 - 37*x**2. What is the derivative of t(r) wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352834 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37735 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n**2 - 2*n + 11. Let p be q(9). Let x = p + 23. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 800?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*u - 11 + 72 = 0, 4*z = 5*u + 123. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(0 + (1 + sqrt(2448))*6 - -3*(sqrt(2448) - (sqrt(2448) - (2*sqrt(2448) + -4))))*-1)**2.\nAnswer: -559872*sqrt(17) + 114225552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 440*d + 161335. Determine j(-238).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 11*v - 24. Let w be y(7). Let a(z) = -61*z. Let h(s) = 60*s + 1. Let t(i) = w*h(i) + 3*a(i). Is t(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*p + 10*p - 688 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30005 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5598 or 162323\/29?\nAnswer: 5598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + -42. Which is smaller: t or -116?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(8775\/90)\/(-13)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17652 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 + (9 - 5 - -3) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*0.05\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23.55 (b) -4\/3 (c) -0.131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**2 - 133824*i + 38236.\nAnswer: -(i + 19118)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5. Let u be m(0). Let s(t) = 0*t + 10 - t + u*t - t**2 + 3*t. Let b be s(8). Solve b*v - 4 = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977539409?\nAnswer: 3, 219726601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**5\/((z\/((((z**(-6)\/z)\/z)\/z*z)\/z*z))\/z*z*z\/((z\/((z**(-1)*z*z)\/z))\/z)))**(-25) assuming z is positive.\nAnswer: z**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s - p - 5, 0 = -5*s + p + 14. Suppose 3*r + 2*u - 78 = s*u, 87 = 3*r - 4*u. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11010437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -265152582 divided by -88384194\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013827472 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2)*c**(-4))**(10\/3) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3542 = 2*o - 1128, 0 = 5*o - 4*b - 11669. Calculate the highest common factor of o and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:12 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 55, 3\/2, 0.4, 1\/8 in descending order.\nAnswer: 55, 3\/2, 0.4, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61704*m**3 - 65*m**2 - 846107.\nAnswer: -185112*m**2 - 130*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101102032201 - 3?\nAnswer: 2101102032132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 6) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398375 and 103500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9030942 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from wwwwawwwwwa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -432 - -427. Let n be 6 + -1 + (c - 15\/(-25)). Sort 2\/15, 0.2, n, 5\/3 in decreasing order.\nAnswer: 5\/3, n, 0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 62. Let y = r - -26. Let j = y + -103. Put -1\/2, -1, j in decreasing order.\nAnswer: -1\/2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*v + 14, 0*m = 3*v - m + 15. Let y = v - -26. What is the second derivative of 25*q - 16*q**4 - y*q**4 + 18*q**4 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Suppose 0 = -3*t - 4*a + 61, 5*a - c*a = -6. Find the first derivative of 7*d - 9 - t*d - 2*d wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -458, -4 in increasing order.\nAnswer: -458, -4, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.261, -37, 349.\nAnswer: -37, -0.261, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = -4*g + 144, -5*u = 5*g - 645. Suppose -12*m - 621 = -3*m. Let n = u + m. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 5*h + 4*h - 2*h + 5*h**3.\nAnswer: 5*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = -3*b, 1262*b = 1267*b - 2*k + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1237701420 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17737, 18301, 19777, 22621, 27289, 34237, 43921?\nAnswer: 56797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = p. Find the first derivative of 2*z - 3 + p - 4 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 28 + 8 = 0. Let q be 70\/22 - w\/22. Let r = q - 6. Sort -5, r, -1 in ascending order.\nAnswer: -5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2363523 - -1966.\nAnswer: -2361557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:45 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0, -2, 2, 1493, 1 in descending order.\nAnswer: 1493, 5, 2, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11.6. Let p = 3.9 - v. Let h = p - 4.50000076. Round h to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, 461, 1766, 3787, 6524, 9977, 14146?\nAnswer: 19031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, 3\/7, -3, 0.07, -24570?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + u**2 - 2*u**2)*(-6 + 3 + 2 + (5 + 0 - 6)*(-1 + 1 - 2) - 6 + 1 + 3).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 27*s - 1. Let y(l) be the third derivative of l**5\/30 - 1451*l**2. What is n(y(b))?\nAnswer: 8*b**4 - 54*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (504\/(-27)*3)\/(4\/(-42)). Suppose 7*p - 2*p + 3*i = 737, -4*i = 4*p - r. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21120317 to the nearest integer?\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, -1, -4, -36, -2, 1 in ascending order.\nAnswer: -36, -4, -2, -1, 1, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1703 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25726170 to the nearest integer?\nAnswer: 5072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(37 + 2525*h - 1274*h - 1264*h).\nAnswer: -26*h + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35636 = -191*f - 45*f. What is the remainder when 8908 is divided by f?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 17*x**2 + 17*x - 5. What is f(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 2*q**5 + q**5)*(0 + 2 - 1)*(-1 + 0 + 2).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/7 - (-2)\/14. Let r be 135\/(-36)*(w - -1). Suppose 2*d + r = b + 2*b, 3*d + 25 = 5*b. Solve -g + 6*g - 25 = d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1175, -3176, -5177?\n\"Answer: -2001*g + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -554256731.29 - 351?\nAnswer: -554257082.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -84618.5223 to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-168)*2*861\/(-246)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**5 - n**4 - n. Let m(v) = 8*v**5 + 7*v**4 + v**2 + 7*v. Let w(c) = -5*m(c) - 35*p(c). What is the third derivative of w(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17*g**(-1\/5)*g assuming g is positive.\nAnswer: g**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824 and 913919.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17425106.\nAnswer: 2, 509, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16894.\nAnswer: 2, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300695\/18 + 16711. Find the common denominator of -93\/104 and w.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 60. Suppose -3*w = 15, 3*k - 2*w = 5*k - 2. Let r be (-10)\/3*(-9)\/k. Solve -1 = x + 2*n, r*x - 3*n + c = 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*0\/((-9)\/((-45)\/(-20))). Suppose 3*w - w - 8 = 2*m, 0 = 4*m + 4*w + 16. Sort m, 5, -5, y in decreasing order.\nAnswer: 5, y, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 - x - 4. Let g be z(0). Let o be 1\/g + 15\/20. Suppose -m - 5 = -n, n - m = 6*n - 1. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(54\/(-90))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193131 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f + 30. Let h(r) = -5*r**2 - 7. Let l(j) = -3*j**2 - j - 3. Let o(q) = 4*h(q) - 7*l(q). Does 4 divide o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7909.\nAnswer: 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-90))\/(((-3)\/9)\/(-1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/66)\/((-8)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2030333 + 242?\nAnswer: -2030071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**5*d*d**(-1))\/(d*d**(-2\/23)*d\/(d\/((d\/(d\/(d\/(d\/(d\/(d*d*d**(-6)*d))))))\/d)*d)) assuming d is positive.\nAnswer: d**(94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s + 5. Let r(t) = -1. Let u(m) = -n(m) - 5*r(m). Let y(b) be the second derivative of -b**4\/12 - 107*b. Calculate u(y(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 + 2*r**2 - 4*r**2 - r**2 + 0*r**2 + (5*r - 2*r - r)*(4*r - 4*r - 2*r) + 0*r**2 - 2*r**2 + 3*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -42240000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - 0.64. Let z = -0.02 - o. Let i = z + -2.6. Which is the second smallest value? (a) -1 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (73 - 73)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18574*g. Let n(c) = 4*c. Calculate n(m(b)).\nAnswer: 74296*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 3900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39931 is divided by 7207.\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 - 11*s + 2. Let w = 14 - 8. Let l be n(w). Suppose -x - x = -l. Solve 4*k + x + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16930981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.7. Let p = 0 + y. Let a = -20 + 20. What is the third smallest value in 4, p, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 27.139 (b) 2 (c) 1.1 (d) 0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*j + 2*g**2 - 493*g*j - 12*g - 8605339*j with respect to g.\nAnswer: 8*g*j + 4*g - 493*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 - 2*y. Let l = -34 + 35. Let r be u(l). Suppose -537 = -r*b + 239. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79899 and -1499.\nAnswer: 119768601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.5776 millilitres to litres.\nAnswer: 0.2735776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**7\/2520 - v**6\/360 + v**4\/18 + v**3 - 6. Let g(r) be the third derivative of m(r). Factor g(w).\nAnswer: (w - 2)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 4*z**4 - 6*z**3 + 36*z**2 - 27*z.\nAnswer: z*(z - 3)**2*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j - 117*j = -51*j - 49 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.296814 rounded to 1 decimal place?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 - 26 = 0. Calculate the remainder when 33 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 7. Suppose -6 = 3*d - 9. Let w be (-5)\/(-10)*(d + 21). Is u(w) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.3. Let t = z - -4.1. Which is the nearest to 0? (a) -1 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2. Let m(s) = s**2 - s + 3. Let g(c) = -12*c**2 + 16*c - 15. Let p(r) = g(r) + 5*m(r). Determine d(p(w)).\nAnswer: 245*w**4 - 770*w**3 + 605*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 8\/13 (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -1072, -1442, -1812?\nAnswer: -2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h, -4*s + 725009 = -5*h - 296458. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -7*x**4\/24 - 35*x**3\/6 - 13*x**2. Let n be a(-5). Is n - (-506 + 1) - 51\/17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2 - 12. Is 20 + (t - 1) + 0 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 1. Let j be m(6). Let g = -74 - -116. Suppose 5*a - j = g. What is the greatest common factor of 143 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1088*n**5 + 207*n**4 - 498130*n wrt n?\nAnswer: 21760*n**3 + 2484*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47021.31 meters?\nAnswer: 47021310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620182 is divided by 270027?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51729\/20 - -10345\/4. Sort x, -0.4, 1.85 in ascending order.\nAnswer: -0.4, x, 1.85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9344 by -292.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 392002 to the power of 1\/2, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 262*l**2 + 2 + 3 - 14.\nAnswer: -262*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 4897?\nAnswer: 4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-284)\/(-2)*1 - 2. Suppose -2*j + 9 = -3*k - 5, 0 = -j - k + 12. Find the common denominator of (-6)\/j + 634\/w and -145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 2*h**3 + 0*h**2 + (h**3 - 2*h**3 + 2*h**3)*(-3 - 3 + 7) - h**3 - 3*h**3 - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (10 + (2 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6693722*-0.6\nAnswer: -4016233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.5549 + -34.32. What is s rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229790150 divided by 45958030.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*u = -4*b - 2, 5*u = 5*b - 60 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20 + 19)*(-7 + 0). Suppose 4*h = 8, g*j - 2*j - 1601 = -3*h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 976+3\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6377*h**3*k*x - 44*h**3*x + 3*h**2*k*x + 6*h**2 + 76*h*x + 46*k*x + k - 3*x wrt h?\nAnswer: 38262*k*x - 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 39*t + 42*t - 131, t - 52 = -2*z. Calculate the remainder when 3223 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/35215 and 27\/1915696?\nAnswer: 9578480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2436859 millilitres to litres.\nAnswer: 0.0002436859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmecmeceemmeem. Give prob of sequence ceec.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.6 - 75.4. Let m = -249 - -152.9. Let q = x - m. Round q to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90562760*-9\nAnswer: -815064840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/7)))\/v*v*v**10*v*v*((v\/(v**(-18\/7)*v))\/v)\/v*v*v**(-19) assuming v is positive.\nAnswer: v**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 35*k - 234. Solve k = -2*s + 4*j, -3*s + 5*j = -8*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4) + 2)\/(37 + -34)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from yoooqqoqyqqyqooooq.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyny when four letters picked without replacement from {n: 3, y: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 10) + 8 - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:43 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i**2. Let a(v) = 373*v**2 + 370*v**2 - 750*v**2. Let m(k) = k**3 + 3*k**2 - 7*k + 1. Let u be m(-5). Calculate u*a(c) - 3*x(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 11. Let p(l) = -l + 6. Let v(h) = 2*m(h) - 5*p(h). Let f = -4859 + 4849. Determine v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*v + 19796*n - 111*v**2 - 3*v wrt v.\nAnswer: 2*n - 222*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*m - 12, 0*m = m - a. Solve m*v + 6 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6222, 12461, 18700?\n\"Answer: 6239*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*102.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = -29*w - 16*v - 52, 3*v - 24 + 16 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34428 divided by 630.\nAnswer: 5738\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -60*c - 8160. Give s(-136).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002193 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -11, 452, 44, 3, -3, -4 in descending order.\nAnswer: 452, 44, 3, -3, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -10 - 2. Suppose 2*p + 8 = 6*p. What is the highest common factor of p and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - -96594.\nAnswer: 96594.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {y: 1, f: 1, o: 1, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 6*y - 4. Let t be (-2)\/(1 - 9\/7). Suppose -t = -2*c + y. Solve -i + c = -f, 5*f - 7 = -5*i - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6)\/(-18) + -1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let x(k) = k**3 - 2*k**2 - 2*k + 4. Let b be x(s). Let i(d) = -8*d + 6. Let c(q) = -9*q + 7 + 2 - 2. Determine b*i(o) - 6*c(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**4 - 5877*j**3 - j**2 - 22320.\nAnswer: -120*j - 35262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-110))\/(34\/(-51)*2\/20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 784. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 + 868*o - 11 + 5 in the form k + l*o and give l.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34009969 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101821 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffhf when four letters picked without replacement from {h: 2, l: 2, g: 4, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50000 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 93568230 - 10256*q - 93568230 in the form i*q + p and give i.\nAnswer: -10256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 935820.8l in millilitres?\nAnswer: 935820800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 6*q + (0 + 1 - 2)*(1 - q - 1) - 89 + 89 + 4*q)*(-64 + 70 + 45).\nAnswer: 204*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 4892555548*v**3 - 4892555798*v**3 + 4*v**2.\nAnswer: -250*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436490 + 126217 = 7813*y - 85000 - 282040 for y.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*l + 6, 9693*l = 11*i + 9680*l + 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*13\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -6. Let r = z + -1.3. Sort r, -1\/5, 5.\nAnswer: -1\/5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5 + 3*d**3 - 3*d + d + 1 to a*d**3 + j*d**2 + i*d + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2. Let o(j) = j**3 + 7*j**2 + 8*j - 4. Let n be o(-5). Suppose 4*t - 4 = 0, -4*m - 3*t = -n*t - 121. Suppose -7*w - 10 = -m. What is q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6179 + 4383. Let l = -1795.8421 - u. Round l to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*k**2 + 783*k**2 - 969*k**2 - 4*k + 4*k - 640*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1227*k + 4868. Give t(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllqekqkszze. What is prob of picking 1 e and 1 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 3. Let b be l(-3). Suppose -5*t + 4 = 24. Put 2, t, b in decreasing order.\nAnswer: 2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 44101998.\nAnswer: 88203996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l - 1. Let b be t(-6). Suppose -29*v + 34*v + b = 0. Let f be 3\/1*v + 9 + 10. Solve -h = -5*h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.061085 micrograms to grams.\nAnswer: 0.000000061085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43266859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(((d**(-1)\/d)\/d*d)\/d)))\/d)**43)**(-1\/12) assuming d is positive.\nAnswer: d**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 5. Give u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e1ba + -4e?\nAnswer: -1e208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*l - 1087*l - 28 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174*h + 253*h - 119*h)*(-2*h + 5*h + 0*h) + (2 + 3 - 4)*(-2*h**2 - 3*h**2 + 3*h**2).\nAnswer: 922*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)\/sqrt(45))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**2. Let c(p) be the second derivative of 2*p - 5\/4*p**4 + 0*p**3 + 0*p**2 + 35. Give l(c(f)).\nAnswer: -1800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4425696 by 1089.\nAnswer: -4064","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 610033086*u**2*x - 29767*u*x - 5*u + 239*x wrt u.\nAnswer: 1220066172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210164220 - 3?\nAnswer: 210164215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5022 and 95\/44082.\nAnswer: 396738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0 (c) -0.4 (d) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from qxxxxqa.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615 divided by 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) + (sqrt(130) - 2*sqrt(130))))*-1)\/sqrt(10))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92189.943526 take away -413?\nAnswer: 92602.943526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4539 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 + -285. What is the highest common factor of 371 and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-2) - (-1488)\/756) + -4. Which is the third biggest value? (a) y (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16216 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: In base 8, what is 152640721 - -42?\nAnswer: 152640763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -349, -2, 5, 3.\nAnswer: -349, -22, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 44*z**2 + 10*z**2 + 13*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - t. Let n be b(-5). Let x be (-2)\/(-6) - 2116\/(-69). Suppose x*j - 20*j = 0. Solve j = -k + 2*k + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (-6)\/15. Let c(p) = -2*p**3 - p - 1. Let m be c(-1). Suppose 0 = 2*a - f + 4, f - 2 = m*a - a. Sort t, -3, a, -1 in decreasing order.\nAnswer: t, -1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 17*l - 12*l - 36 + 15 + 12 to the form v + s*l and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -49, -114, -205, -322, -465?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 60*b - 492. Give t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5586 is divided by 1775.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-9))\/(6\/18). Calculate the remainder when 51 is divided by (-9)\/(36\/v)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -64, 0.5, -5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 285, 626, 1113, 1752?\nAnswer: 2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1341.56\nAnswer: 402.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, -2, 4, -273 in decreasing order.\nAnswer: 5, 4, -1, -2, -5, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(10) + -1*sqrt(10)) - (sqrt(70)*-2)\/sqrt(7))\/(sqrt(135)\/sqrt(75)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 2*m + 16*m - 5*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerree. What is prob of sequence rrer?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c - 9. Let w be a(4). Suppose 3*n - 48 = -5*m + 161, 106 = 2*m + 4*n. Solve w*s = m*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104 + 23*d**3 + 18*d**3 + 31*d**3 + 33*d**3 wrt d?\nAnswer: 315*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5\/9 + 4*q**4\/9 - 32*q**3\/9 - 16*q**2\/3 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 20*m - 1\/12*m**4 + 0*m**2 + 0*m**3. Let n(y) = -y**2. Let o(v) = -4*v**2. Let r(d) = -3*n(d) + o(d). What is r(b(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(2\/9))**1 assuming j is positive.\nAnswer: j**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. What is the derivative of -5 + 0 - 3*d + g wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -12 + -4 + 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 0*u)*(5*u**4 + 9 - 9) + (-6*u**5 + 4*u**5 + u**5)*(843 + 423 - 7).\nAnswer: -1254*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 18085620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 14*y - 48. Suppose 12*i - 395 = -323. Calculate o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 81365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and 11\/157.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 993391777 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**5 + 891*v**4 + v**3 + 12513*v**2.\nAnswer: 120*v**2 + 21384*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5) + -5 + sqrt(11) - (1 + sqrt(539)).\nAnswer: -5*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 598091\nAnswer: 20335094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Let b(o) = -4*o + 18. Let y(q) = 2*b(q) - 9*k(q). Let c(h) = 124 + 11*h - 123 - 3*h. Determine y(c(r)).\nAnswer: 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 5*a + 2740, g - 920 = 5*a. What are the prime factors of g?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6318 divided by -4\nAnswer: -3159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 12*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -815*s + 956*s + 2243*s + 3918*s + 460046 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/15*(-6)\/4. Let f be u*7\/((-28)\/(-16)). Let g(d) = -d**3 - d**2 + 7*d + 6. What is the tens digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*g + 60, 3*g - 31628877 + 31628930 = 5*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 73*f**2 - 4999*f - 2614. Give w(69).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17347520 and 31648?\nAnswer: 745943360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 3 + -3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*d + 46 = 0, 2*q + d = -26 + 107 - 43 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 + 4*v - 9. Let t be a(6). Suppose 2*f - t = -5. Solve f*c = -26 + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/38 (b) 0 (c) -2 (d) 116 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, o: 4, p: 1, z: 10}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 122 - 121 - i + 3*i - i. Let f be x(-1). Let j be (-60)\/(-4) + (f + 1 - 0). Solve 5*y + j = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 22336425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 4*z**3 + 0*z**3 - 64*z**2 + (7*z - 3*z + z)*(z + 0 + 0)*(z - z - 2*z).\nAnswer: -6*z**3 - 69*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2 - (-117)\/6) + 0. Let f = g - 13. What is the third biggest value in -3.5, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679605.\nAnswer: 5, 283, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 5*a + 5. Let g be r(2). Is (5 - (-444)\/g)*(0 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 - 2*p**2 - 2*p - 1. Let i(v) = -54*v**3 - 10*v**2 - 11*v - 5. Suppose 4*j = -2*m + 69 - 31, -j - 3*m = -2. Calculate j*b(k) - 2*i(k).\nAnswer: -13*k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17453 is divided by 2778.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u - 2*u - 3 - 2*u - 3 + 10. Let n(o) = -o - 3. Give 3*j(t) + 4*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11447 or 4975?\nAnswer: 4975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9109970 is divided by 616.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -728, 5, 0.1, 0.3, 273, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 11\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j - 19*j - 3992 + 3317 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5115 and 685355?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 6, e: 2, t: 2, k: 3}. Give prob of sequence tss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30*a**4 - 10*a**3 - 22*a**2 + 10*a. Let n(y) = y**4 + y**3 - y**2 - y. Let k(m) = -10*n(m) - u(m). Find the third derivative of k(s) wrt s.\nAnswer: 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 163, -2, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -1070461.\nAnswer: 50\/1070461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154188977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (294\/(-12) + 1)*8\/12 and -53\/172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 672976 or 672979?\nAnswer: 672979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n - 3. Let u(g) = 6*g + 2. Let q(t) = 0*t - 2*t + 3 - 2 - t - t**2. Let m be q(-2). Calculate m*w(f) + 5*u(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 7.8, 5, 1082, -1?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011178 is divided by 3271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuzsslslllul. Give prob of picking 2 s and 1 z.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 6) in base 16?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -31435\/2, 2\/13, 0.5, -13, 2\/5 in ascending order.\nAnswer: -31435\/2, -13, 2\/13, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 2 s when four letters picked without replacement from rssharhrsf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9794, 38883, 87268, 154949, 241926, 348199?\nAnswer: 473768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 20*y**3 - 60*y**3.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*190\/(-228)*-56?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h - 83*h = -8*h - 744 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (380\/190)\/(6\/141)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:30 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 * 248\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (10 - (12 + 12 - 15) - -38)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129213 and 890134?\nAnswer: 8011206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 10 + 54. Suppose -b + z = b. Let f = b + -97\/3. What is the smallest value in -1, f, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 8*m + 16*m)*(-3 + 0 + 5)*(m**3 - m**3 - 2*m**3).\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) 0.2 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6*p - 11. Let k be n(-2). Suppose -3*s + 2*u + 10 = 0, -4*s - u + 8 = -k*u. Suppose 12 = 9*l - s*l. Sort 0, -4, l, 2 in descending order.\nAnswer: l, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2742*j**2 + 182*j - 2705113.\nAnswer: -5484*j + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) -22 (b) -4\/5 (c) -0.5 (d) -1\/5 (e) 1239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 5}. Give prob of picking 3 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 7*u - 7. Let h be t(10). Let g be (h\/4)\/((-3)\/12). Suppose 343 - g = 6*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 3. Let q(m) = 2*m**3 - 3*m**2 + 1. Let b be q(2). Suppose -11 = b*x - 31. Suppose -x*t = -9*t - 15. Determine u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 3*i**3\/2 + 7*i**2\/2 - 31*i + 1. Calculate v(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 16222688.980524.\nAnswer: 16222699.980524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/1181869 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 3*j + h, 16 = j - 2*h. Let p(d) = -d**3 + 9*d**2 - 8*d - 11. Calculate p(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.67 - -19.67. Which is smaller: c or -1.68?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64145325817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1*4 - (sqrt(325) + 1)*6)**2 + -2.\nAnswer: 120*sqrt(13) + 1334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 9}. Give prob of picking 1 b and 1 o.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 21. Let v = -12.5 - -7.5. Which is the nearest to -0.1? (a) v (b) l (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/45 and 2\/(-10) + 119\/(-280).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*-1*((sqrt(588) + -1*sqrt(588))\/sqrt(12) - sqrt(49))\/(sqrt(784)\/sqrt(7) - sqrt(7)))**2 + -5 + -5.\nAnswer: 470\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*(0 + 0). Suppose 0 = 4*a - h*a - 28. Suppose 0 = -2*f - 3 + a. Solve -10 = -4*w - 5*z, -z = f*z - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12589758 divided by 50.\nAnswer: -6294879\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and 6.2.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/55)\/((-2)\/20). Solve -b = -4*d + 20, -3*d = u*d - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vidddoeevidiei. What is prob of picking 1 o and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 249 and -0.1?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**5 - 28*b**2*z - 32*b + 3*z + 1 wrt b?\nAnswer: -60*b**3 - 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 5*z, -6 = -4*r - 5*z - 32. Let h = -7.1 + -1.9. Which is the third biggest value? (a) 6\/5 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = 3*v + 4, 0 = 5*v + q + 11. Let t be ((-3)\/(-3) - -1)\/v. Let p(r) = 9*r**2 + r + 1. What is p(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 7*f**2 - f + 11. Let h be l(7). Suppose -22 = -w - 3*u, 2*w + 2*u - 4 = 4*u. Suppose -h*o - 23 = -w. Sort o, 3, 4.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1)*1\/(-3). Suppose -1351 + 259 = 28*f. Let p = a - f. What is the highest common factor of 222 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2787 + -2766. What is the remainder when 229 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/42*w**4 - 2*w + 1 + 26\/21*w**3 + 0*w**2. Find g such that o(g) = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 11111233200?\nAnswer: 11111233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, f: 15}. Give prob of picking 3 f and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**2 - 1. Let m be i(-1). Let b be 37\/7 + (-4)\/m. Suppose 4*v - l + b*l = 84, 111 = 5*v + 2*l. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-5) + 1 + 1. Suppose -2*w + 2 = 4*h, -h - 3*h + 4*w + 20 = 0. Suppose 4*o + 14 + h = 0. Which is the second biggest value? (a) f (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:18 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13 + 2099 + (-16 - -4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*h + 837 = 3393 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 299, 344, 367, 368, 347, 304?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*c - 3 - 17, 2*h = -4*c. Let k(l) = -l**3 - 6*l**2 - 8*l - 3. What is the remainder when k(-5) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 60*v + 33 - 134 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-2646)*-27*94.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c9 (base 14) in base 16?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w - 12 - 20 - 151*w - 2800*w**2 + 32.\nAnswer: -2800*w**2 - 189*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3670.9 take away -147732159?\nAnswer: 147728488.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*r*r**(-5\/2))*r))\/r)\/r**1)\/(r**1\/r*r)**(-2\/29))**(-27) assuming r is positive.\nAnswer: r**(5373\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -0.5. Let l = x - 7.2. Let r = 33136 - 33135. Which is the closest to -1? (a) l (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (-10 + 14)) + 2 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/74904453?\nAnswer: -2\/74904453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/700)\/((-8)\/28))\/(366\/(-90)*-3)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0924703 to two dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 746459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-228)\/24 + (-7)\/(-2). Put -101, h, 2, 0 in increasing order.\nAnswer: -101, h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -3*k, 2*u + 5*k - 4 - 21 = 0. Suppose -2*v + 5*n - 6*n = -16, -2*v - 3*n + 24 = u. Solve 4*x - 12 = 2*w, -2*w + 28 = v*x - 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 2*i)*(-5999 + 5999 + 861*i).\nAnswer: -861*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/9, -1072 in increasing order.\nAnswer: -1072, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432823*s**3 + s + 35091 wrt s.\nAnswer: 2596938*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 r, and 1 x when three letters picked without replacement from xkkkkjkmjkkkkrkkrkm.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5557670 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d. Let l be d + 2 - (-6)\/2. Let s(y) = 464*y + 1. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149884311 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: Which is the third smallest value? (a) 20\/3 (b) 24.26 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q + 2. Let u be s(1). Let b be 3\/(u + 3 + -4). Find the second derivative of -21*k**5 + b*k + 29*k + 13*k wrt k.\nAnswer: -420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**3 - 5*p**2 + 50*p - 40 = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*x**4 + 131*x**4 - 4*x**2 + 5*x**2 - 16*x**3 - 256*x**4 + x - 4 in the form w*x + u*x**4 + l*x**3 + m + y*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 112, 91, 50, -17?\n\"Answer: -r**3 - r**2 + 3*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:59 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from fmemeemefeime.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from oqoooeooeoeeeooeo?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82, -24, -252, -638, -1218?\n\"Answer: -6*t**3 - 25*t**2 + 11*t + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let z be ((-24)\/(-9))\/2 + -2. Which is the smallest value? (a) z (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 18, w: 1, z: 1}. Give prob of picking 1 w and 3 k.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9244266 to the power of 1\/2, to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(2\/(-10)) - (-8216 - -1 - 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b\/(b*(b**(1\/6)*b)\/b*b))*b**(-1\/4)*(b**(1\/5))**(-4\/25))**5)**36 assuming b is positive.\nAnswer: b**(8481\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**5 - 18*m**2 - m + 21 wrt m?\nAnswer: 120*m**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -317*o**8\/112 + o**4\/8 + 56*o**3\/3 - 100*o**2 - 2. Find the second derivative of b(a) wrt a.\nAnswer: -19020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n + 13. Let g be y(-4). Let u = 25 + -23. Sort 1, 3, u, g in decreasing order.\nAnswer: 3, u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 156414335?\nAnswer: 156414331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 45 = -265*z + 239*z - 5*g, 2*z - g = 2*g + 31 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35227800 rounded to the nearest 100000?\nAnswer: -35200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(300) + (sqrt(300) - (-3 + sqrt(300))**2) - sqrt(300)) + sqrt(300) + sqrt(300) + 6*(sqrt(300) + 1)).\nAnswer: -1510 + 750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231 + 120*u**3 + 231 + (4*u - 4*u - 10*u)*(5*u**2 - 2*u**2 - u**2) - u**3 + 0*u + 0*u + 1 + 2*u**3 - u**3 - 2*u**3.\nAnswer: 98*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-680)*(8480\/(-96))\/(-53)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 10602720.\nAnswer: 10602721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/20 + w**3\/6 - 7*w**2\/2 - 13*w. Determine j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -29*k**3 - 17*k**2 - 34*k + 5961. Let o(t) = 10*t**3 + 6*t**2 + 12*t - 1987. Determine 6*a(j) + 17*o(j).\nAnswer: -4*j**3 + 1987","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-4)\/96*-8)\/((-9)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 86. Suppose 818*h + 46 = -2*p + 816*h, 4*p - 4*h + 116 = 0. Calculate s(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/5))\/(c**(-14)\/c) assuming c is positive.\nAnswer: c**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 2b?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 197, 5, -26 in increasing order.\nAnswer: -26, -2, -1, 5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -x + f, 15 = -2*x - 5*f. Let j be (57\/6 - 10) + 34\/20. What is the nearest to x in 5, 0.8, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38b86 - 2?\nAnswer: -38b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 20*j**2 - 9*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -95. Let s(z) = 17*z**3 + 11*z**2 + 14*z + 5. Let d(m) = 6*m**3 + 4*m**2 + 5*m + 2. Let i = -41 - -45. Determine i*s(p) + x*d(p).\nAnswer: 2*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3903 + 3921 - 3*p**2 + 7*p - 3*p + 3 - 3*p**2 - 3 + (-2*p + p + 2*p)*(2*p + 2 - 2) - p**2 + 0*p + 0*p.\nAnswer: -5*p**2 + 4*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-30)*-6)\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 4*i)*(-2*i**4 + 4*i**4 - i**4)*(-2 + 5 - 2).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347879.\nAnswer: 7, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/5)*l**(-13\/5))**(-6\/13) assuming l is positive.\nAnswer: l**(24\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0077913 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from mmmwgggmgmmgmgggmgw?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - x**3 + 0*x**3 - 5*x**3 - 5*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let g(d) = -d + 1. Let m be g(-7). Suppose 5*v - m = v. Sort c, -5, v in decreasing order.\nAnswer: c, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n + 43*n - 108*n - 14*n + 43*n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -464, -440, -416, -392?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9975*m + 9971*m - 2 = -5*g, -g + 10 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from llvvvvlvbvl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12503131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (37 - 25) - (3 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.4 + -39.4. Which is greater: n or -13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 381638*o**2 - 1 + 381644*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8 - 4. Let d = 11 + -12. Let z(h) = -h + 1. Let p(v) = 6*v - 3. Let c(j) = d*p(j) - 5*z(j). Determine c(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621966957 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {v: 6, f: 2, o: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 2*j)*(-3 + 0 + 2) + (-1 - 2 + 2)*(-9 + 4*j + 9).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -s + 7117, -2 + 3 = -v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2228010*s. Let r(u) = -2*u**2. Give n(r(h)).\nAnswer: -4456020*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -59. Let m = c + 13. Let v = m + -46.4. What is v rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 598762337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 7\/2 (c) -11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.46. Let i(o) = o - 2. Let q be i(0). Let j = 5 - 5. What is the second biggest value in q, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 12*z**2 - 11*z - 5. Let b(c) = -c**2 + c - 1. Let k(f) = -4*b(f) - h(f). Let a(y) = y**2 + 11*y + 7. Let n be a(-11). Calculate k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346904529697 take away 0.0059?\nAnswer: 1346904529696.9941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 2*h**2 + 9*h - 2. Give j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -271, -267, -261?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3901 - 567*i**4 + 3901)*(-3*i - 5*i + i).\nAnswer: 3969*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 184*v**5\/3 - 1639*v**4\/12 + 2078*v**2 + v. Find the second derivative of j(a) wrt a.\nAnswer: 7360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) - (-6)\/4. Let l be 42\/12 - m\/4. Suppose 5*r - 59 = -3*s + 67, l*s = -2*r + 54. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2 + 261*r + 30. Let c be m(-26). Let u be ((-5)\/3)\/(2\/(-6)). Suppose -2 + u = 3*t. Solve -t - c = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-481 - 1516 - 772 + 11 - 780)*(1 + c**4 - 1).\nAnswer: -3538*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 46 = -q. Let j = 29 - 16. Suppose -a + j = -4*i + i, -3*i = 3*a + 9. Solve a = q*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2736 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20480685 and 55980539.\nAnswer: 839708085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8556 and 168144?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 8085. Suppose -4*m = 5*x - 3286 - 75, i = 4*x - 3*m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 733*u**2 + 186*u + 81. Is j(50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - -55. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 9923 - 9887 = 4*k, 9*k - 37 = 2*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(5 - 11)\/(-6). Suppose o = -5 - r, -p + 184 = 5*o. What is the highest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3 (c) 4 (d) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12354000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/3, 996\/23, 1\/11, 4, 8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(8\/6)*(-4)\/(-15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 3 + 7 + 0*d + d + 14 as m*d + w and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 + 7)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17004981881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/19 - 32*w**3\/19 - 4*w**2 - 66*w\/19 - 20\/19 = 0. Calculate w.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(12)\/(sqrt(24)\/sqrt(6))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(112) + 2 + (sqrt(7)*1)**2 + sqrt(7).\nAnswer: -15*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 166*r**2 - 127*r - 14. Let h(f) = f**3 + 81*f**2 + 63*f + 7. Let v(x) = 13*h(x) + 6*i(x). Factor v(d).\nAnswer: (d + 1)*(d + 7)*(7*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -38\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(8\/7)*x**(2\/9) assuming x is positive.\nAnswer: x**(86\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w + 1\/24*w**6 + 70*w**2 + 0 + 7\/24*w**4 - 3\/20*w**5 - 1\/210*w**7 - 1\/3*w**3. Solve r(u) = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -35133914\nAnswer: 70267828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*g - 159*g - 96 = 0. Suppose g*x = 48*x - 19216. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-479718)\/(-34))\/3 + 15\/(1020\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*i - 11. Let x = 52 + -2. Suppose 2*s = i*s - x. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3099999*z**2 - 3*z + 2. Let o(f) = 16*f + 1 + 12*f - 29*f. Let s(j) = -l(j) + 2*o(j). Let b be s(1). What is b rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 330.7 + -331. Let t = 0.2 + 0. Let h = t + -0.7. Put s, h, -0.1 in decreasing order.\nAnswer: -0.1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) 0.5 (c) -0.1 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31414809.\nAnswer: 3, 19, 383, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-630)\/(-60) - 12)\/(0 - 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-204)\/(-18) + (-1)\/3. Let w = -8 + s. Suppose 3*x - 144 = -4*t, -5*x = w*t - 2*t - 36. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2754538*r + 82. Let z be q(-11). Round z to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266 * -2456\nAnswer: -653296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.48 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33100 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 690.2997ml?\nAnswer: 0.6902997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9) - 4)*(-9)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 2*o**3 + 7*o**3 + 3*o**3 - 10*o**3 - 8*o**4 + 2 to t*o + w*o**4 + g*o**2 + q*o**3 + m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 248, 387, 546, 731, 948, 1203, 1502?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 68383567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/2 - 6*v**3 + 26*v**2 + 92. Find the second derivative of q(n) wrt n.\nAnswer: -12*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 0 - 1 - 1 + (0*n**2 - 2*n**2 + 3*n**2)*(-n + 3*n - 4*n) to the form w*n**3 + v*n + l*n**2 + j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79164*u + 90933 wrt u.\nAnswer: -79164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = -4*m, -4*m = -f + 3*f + 8. Suppose 4*y - f*k + 90 = 0, -3*y + 3*k - 114 = 2*y. Let b = 36 + y. Solve -w - x = 0, -x + b = 2*w - 4*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 1018?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5632 divided by -176?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*b = 3*z - 16, -3*z + 0*z = 2*z - b - 52 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in -0.4, -1, 4, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15 = -2*v + 4*w, 3*v - 5*w = 20. Suppose q - 2*p = 25, v*p = -q - 1 + 12. Calculate the remainder when 83 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.4. Which is smaller: q or 1.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18830000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 32 = a, -2*a + 45*r - 47*r = -28. Let s(j) = 14*j**2 + 8*j - 8. Let f = 12 - 7. Let c(d) = -9*d**2 - 5*d + 5. Determine a*c(u) + f*s(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-17)*l*l)**(-25)\/((l**7*l)\/l*l**(-25)))**(-10\/3) assuming l is positive.\nAnswer: l**(-1310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/675*(-5217)\/(-111)?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a factor of 291542640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 5*u - 23 = 0, u = -2*f + 1. Factor -2 + 1 - 3 + 2*p**2 + f.\nAnswer: 2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21048 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236320 and 879200?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k + 58*k - 169358 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001569953096 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)\/(b\/b**(3\/17))*b**(7\/5)*b**13 assuming b is positive.\nAnswer: b**(1239\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = -4*d. Suppose 0 = -3*k, d*t + 0*k - 40 = -2*k. Solve 0*u + t = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571500 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5304953 rounded to four dps?\nAnswer: -0.5305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/60 and 67\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2 - 3. Let q be (-4)\/(-34) - 0 - (-18)\/(-153). Let y(m) = m**2 + 4*m - 4*m + q*m**2. Determine y(s(v)).\nAnswer: 100*v**4 + 60*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1949 and 120294229?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 52*r**2 + 4415*r - 209130. Determine q(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from glgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (5 - (1 - 3 - -8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 3 + (-3*d + 1 - 1)*(5 + 2 - 5))*(-3*d**2 + 3*d**2 + 2*d**3) + 2*d**2 - 2*d**2 - d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706 divided by 168383?\nAnswer: -2706\/168383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 5*u**2 - 6*u + 5. Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15331.57 to the nearest 100.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 44 - 6 = j, -54 = u - 3*j. Let s = u - -31. Let g = -10 - s. What is the lowest common multiple of g and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.9 + -16. Let q = 1 - r. What is the third biggest value in q, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*q + 0*f - 26 = -1197*q - 2*f - 99, 108*f = -4*q + 3*q - 445 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*j**2 - 165*j**2 + 327*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646 by -1.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:11 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3692 = 274*a - 4110 - 144 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/6*z**4 - 7*z**2 + 0 + 0*z**3 + 139\/336*z**8 - z + 0*z**6 - 1\/60*z**5 + 0*z**7. Find the third derivative of m(q) wrt q.\nAnswer: 8340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5488, -6347, -7768, -9751, -12296, -15403, -19072?\n\"Answer: -281*i**2 - 16*i - 5191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 38*c - 62*c + 1224 = 12*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(38)\/sqrt(2) + (6*(sqrt(19) + sqrt(171)))**2.\nAnswer: sqrt(19) + 10941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40447572817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 123846*n**3 + 4*n**2 + 27*n - 12. Let s be u(-4). Round s to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300561.\nAnswer: 3, 19, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-14)\/(-8)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1458 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -269039.44 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10854 - -173597\/16. What is the common denominator of h and (-1)\/(-8)*(-80)\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065907 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 6*b + 9. Let z be q(5). Suppose -3*y = -z*y. Solve 0 = c - 3*c + 5*s + 8, y = c + s + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32329653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20251, 20247, 20241, 20233?\nAnswer: 20223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nllllnllnfllllf. Give prob of picking 1 l and 3 n.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c55 (base 16) in base 15?\nAnswer: -21422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(1\/9)*s*s)\/s*s*s)**41\/(s\/s**(1\/12))**(-29))**46 assuming s is positive.\nAnswer: s**(161575\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23029 is divided by 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1769601 and 2583?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 3*v - 2. Let z(l) = l - 15. Let m be z(0). Let g be ((-6)\/10)\/(3\/m). Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 1, 35, -2\/9?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1789075 (base 11) to base 2.\nAnswer: -1011100011010010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9454801 rounded to 3 dps?\nAnswer: 1.945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from mqmhqqjmmqmjm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 - 193. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let o(v) = 14*v**2 + 5. Let z(b) = -11*b**2 + 4*b**2 - 8*b**2 - 3 - 3. Let h(u) = 6*o(u) + 5*z(u). Calculate d(h(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-27))\/((-36)\/972)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4280387 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 106361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 168189860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*k - 634 = 0, -3*k - 295 = -2*j + 964. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*z + 1 = -5, -5*k - 3*z = -1. Let n = 0.056 + 4.944. Which is the nearest to k? (a) -0.8 (b) n (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (1 - 0 - 1)) + -930 + 931.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277524 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - 19. Let g = 35 - w. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*d + 276*d - 1196 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4410 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/(-56))\/6*(-2)\/(-2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -928007 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 685846.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 250*f - 344. Let g be q(2). What is the highest common divisor of 5538 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -828\/337, 0.2, 4?\nAnswer: -828\/337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1454835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4884 and 81443364?\nAnswer: 895877004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*2*(-1 + -2*sqrt(162))**2.\nAnswer: 360*sqrt(2) + 6494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3*h**5\/35 + 20*h**4\/21 + 18*h**3\/7 + 20*h**2\/7 - 30*h - 5. Let q(k) be the first derivative of o(k). Factor q(r).\nAnswer: 4*(r + 1)*(r + 5)*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40\/11, -4, -2, 0.1, 16.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-287)\/21)\/(1\/3). Which is greater: j or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 4*h - 5*b, -h - 3*b - 3 = -28. Solve -64*v + 21*v + 27*v + 2*v**2 + 40 + h*v = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/21*7056\/840?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41334 divided by -249.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, z: 1, w: 3}. Give prob of picking 2 w and 1 z.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 32.3, -3, 4 in ascending order.\nAnswer: -3, 3\/5, 4, 32.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 389*m**2 - 6*m + 38. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -20\/267, 2\/3, 0.04, -4.\nAnswer: -4, -20\/267, -0.01, 0.04, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 + -131. Let s(h) = h + 25. Let y be s(o). Calculate the highest common divisor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/2 - 69*m**2\/2 + 47565*m\/2 - 3075975\/2 = 0?\nAnswer: -279, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45450345 + 135?\nAnswer: -45450210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*t + 53*t + 9430 = -14*t for t.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 732300 rounded to the nearest ten thousand?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 171 + 189. Suppose -133 = -3*b + g + u, 0 = 3*g + 3. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 34 = 6*l - l, 0 = -4*p + 2*l + 48. Let q = -1 - 2. Let a = p + q. Solve -2*r = -0*r + k - 2, 3*r - k = a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/20 and 23\/19349924.\nAnswer: 96749620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 9*y + 1. Determine g(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l + 3. Let w be t(3). Solve -5*d + w*d = -4*n, n + d = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5576, -5618, -5670, -5738, -5828, -5946, -6098, -6290?\nAnswer: -6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -415239 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92d6 - 2?\nAnswer: -92d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = 2*z, u + 4*z - 21 = z. Suppose 2*f + 12 = u*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 8*l - 5. Let s(d) = -6 - 4*d - 16*d - 354*d**2 + 12*d + 351*d**2. Determine 5*s(h) - 6*v(h).\nAnswer: -3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 12*d**2 + 4*d - 16. Let b be (6\/(-9))\/((-6)\/81). Let n = b + 3. Is s(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/2, -0.345924?\nAnswer: -0.345924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-7 - (1 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 12. Let z(g) = 9*g - 15. Let y(c) = 4*s(c) - 3*z(c). Calculate y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 - 2.5. What is the nearest to 0 in n, 2, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 145. Let r = c - -83. Does 41 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (270\/(-72))\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5283*t + 8227?\nAnswer: 5283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063064893 to 6 decimal places.\nAnswer: 0.000631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12739 and -0.5.\nAnswer: -12739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 2958035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5339 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*l = -65, 3*l - 6*l - 57 = -3*x. What is the remainder when 72 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 146845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-6))\/(8\/(-24)). Let p = -131851\/1469 + -1175\/113. Let w = p - -100. What is the smallest value in m, 3\/4, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 38 = -48. Solve -s*y - 2*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 9*o - 2. Let w be r(9). Let u = -83381 + 83390. Sort w, 2, u, -4 in decreasing order.\nAnswer: u, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 106 + (-13 - (11 + -33) - 15) - -9.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, 24, 0 in ascending order.\nAnswer: -3, -2, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q**2 + 1. Let u be k(2). Suppose -i = -u*i + 16. Solve i*o = 5*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -333, -508, -697, -906, -1141, -1408?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {p: 6, a: 1, i: 4, q: 2, b: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 95.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 241\/314 less than or equal to 0.001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b**(-1\/4)\/b*b))\/b)\/b)\/((b*b**(-2\/5)*b)\/b))**(12\/7)*b**(-1)*((b\/(b**6*b))\/b)\/b*(b*b**5)\/b**(-5) assuming b is positive.\nAnswer: b**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 5.5. Let x be 3*3\/(-3)*2\/12. What is the nearest to 2\/5 in -1\/5, k, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w + 29*w - 433 = 646 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3 - 2*u + 2 - 12*u. Let m = 0 - 1. Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:10 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g**2 + 27*g + 18 + g**3 + 30 - 25. What is f(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 434 and 433 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60608937*0.06.\nAnswer: -3636536.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10736 + -3146. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 832 - 1663 + 833. What is m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 + 9*t**2 + 8*t - 8. Suppose 0 = 48*h - 88*h - 360. Let f(k) = 2*k**3 + 2*k**2 + 2*k - 2. Give h*f(g) + 2*j(g).\nAnswer: -4*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**7\/840 - h**6\/45 + h**5\/20 + 11*h**4\/24 - 14*h**3\/3 - h - 108. Let l(v) be the third derivative of x(v). What is l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 484.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/60 and 113\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-5 - (-38 + -7))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-24)*(-92)\/230.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*u - 48. Suppose 2*y = i + u, y - 4*y + 23 = 4*i. Suppose 2 = i*q - q. Solve -q*b = 3*t + 19, 0*t - 2*t + b - 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w - 2. Let a be l(-1). Is (8696\/(-32))\/((-1)\/a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 7*t**2 - 25*t**3 - 10*t**2 + 2*t**2 to the form g*t**3 + a*t + n + p*t**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*x + 24. What is the lowest common multiple of 12 and 9 + (8\/2)\/x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 15949590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4795 or 4793?\nAnswer: 4795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/23)\/n)**(-4\/13))**(4\/9) assuming n is positive.\nAnswer: n**(112\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 4 (c) -2\/5 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251088.\nAnswer: 2, 7, 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n = -64*n - 574 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.3 and -0.4.\nAnswer: 4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*b + 1 + 2 + 485*b - 239*b - b**2 - 37*b**3 in the form z*b**2 + u + f*b**3 + r*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24*n = 22*n + 6, q - 3*n - 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5.6. Let w = f + -1.4. Let x = -3.9 + 4. Is x less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 17*g**2 + 74*g - 24. Determine a(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10)*(-280)\/12. Let f = -27 - h. Let r = -117 - -119. What is the remainder when r is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174966 and 1218?\nAnswer: 35518098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 + c9?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 108 - 256 = 11*r, -290*n + 288*n + 163 = -5*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + p**5 + p**5 + 0*p**5 + 2*p**5 + p**5 + (0*p**4 - 3*p**4 + 0*p**4)*(0 - p + 0).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 303119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -12.17. Let d = -0.67 + g. Let h be 2\/2*(1 - 0). Sort d, h, 0 in increasing order.\nAnswer: d, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3924\/(-41202))\/((-1)\/7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 400 divided by 16\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 26 = 58 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1)\/(6\/(-33)). Let y = -6 - n. Suppose -2*u = -27 - y. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 7*g + 0*g + g - 3*g + 3*g + (5 - 2 - 1)*(0*g - 4*g + 10*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(2 + sqrt(275)).\nAnswer: 8 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.701 + -23.001. Let u = -22.5 - y. Is -2.29 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 22. Suppose -18*z + x*z - 50 = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 3*b**2 + 2*b**2 + (2 + 2 - 3)*(4*b**2 - 19 + 6 + 8).\nAnswer: 2*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -22*j**3 - 2*j**2 - 8*j. Let y(d) = 43*d**3 + 4*d**2 + 18*d. Give -9*p(i) - 4*y(i).\nAnswer: 26*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(0*h**2 + 16315 - 16288 - 2*h**2).\nAnswer: -4*h**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j - 129*j + 1935 = 162*j - 26037 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1123011*z**4 - 18*z**3 - 12650*z**2 - 2*z + 627 wrt z.\nAnswer: 26952264*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let t(b) be the second derivative of -b**4\/6 - 9*b. Determine t(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:53 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2423*x + 58. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392214 and 15452034?\nAnswer: 2024216454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 2*m + 2. Let b = 19 - 17. Let d(k) = k**3 - 1. Let l(v) = b*d(v) + u(v). Find the second derivative of l(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + 11. What is the lowest common multiple of g and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7236946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-0.00771\nAnswer: -0.009252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -682.\nAnswer: -681.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4, j - 5*n = 6*j - 90. Suppose -u + 3 = -5*o, 3*u + 1 = 3*o - 2. Let m = u - -18. Solve 4*f - j = 5*x + m, 0 = 4*f + 5*x - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1595 - 1370. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(164\/280*-6 + 3). Suppose 42\/5*z**2 - 32\/5*z - h*z**3 + 8\/5 = 0. What is z?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -16*u**4\/9 - 4*u**3 + 328*u**2\/9 - 68*u\/3 - 8 = 0.\nAnswer: -6, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.039, -0.18, -0.4, -3, -4, -15\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b30801 (base 14) to base 13\nAnswer: 1332c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f74f1 + 0?\nAnswer: -1f74f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 2*d**5\/5 + 13*d**4\/6 + 299*d**3\/3 + 402*d. Find the second derivative of w(r) wrt r.\nAnswer: 48*r + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3*k**2\/2 - 18*k + 11. Let n be l(-9). Suppose -5*o = -n*o + 76. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/40*8)\/(90\/(-40))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -39. Let r = 0.5 + -0.7. Let b = r + 0.3. What is the closest to -2 in b, x, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 8*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1 - 1 - 2 + 0*v + v. Let i be p(9). Let w = -20 + 37. Solve -w = -i*t + 2*z, 3*z = t + 6 + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 4*t + 19. Let g be s(-3). Suppose 28*w - 25*w = 3. Calculate the greatest common factor of g and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 2890 + 4477 = 743. What is the least common multiple of d and 1012?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Suppose 16*x - 32*x - 16 = 0. Let p(n) be the first derivative of 2*n + 1. Determine x*p(c) + u(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157175168 + -111475168. Round x to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i - 20 - 160 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 4*t + 2. Let z be 2\/(2 - 4) - -3. Let l be p(z). Solve -4*v - 2 = -0*b + l*b, -2*v + 5*b = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**3 + 1 + 5*q + 7*q**2 + 12*q**3 + 0*q + 1. Let t = -13 - -25. Suppose -o + 6 = t. What is w(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 704, 4, 116, -1\/5?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - 2*z**3 + 257 - 150 - 48*z**4 - 151 as i*z**4 + g + t*z**2 + o*z + x*z**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1698043 to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 34*r**2 + 1097*r - 37213. What is i(32)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60340 is divided by 442.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 913, 1524, 2137, 2752?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1542 (base 12) to base 13.\nAnswer: -11a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 + 349. Let u = w - 212. Find the common denominator of (u\/208)\/(1\/(-2)) and -73\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 9 = -33*f + 10*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1001012 (base 3) to base 11\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 59 + i + 311 - 108 - 91 - 139*i**3.\nAnswer: -139*i**3 - 2*i**2 + i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 723 = -711. What is the third smallest value in p, 45, -7, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 2 - (-66 - -64).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127 is divided by ((-162)\/(-5))\/(264\/880)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1543320 and 59\/1620.\nAnswer: 4629960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-11))\/s)\/s)**(-2\/51) assuming s is positive.\nAnswer: s**(-20\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 2*g**2 + 2*g + 3. Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*((sqrt(125) - sqrt(125)*-4) + 4) + 1))**2.\nAnswer: 13600*sqrt(5) + 201156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1\/4*-2. What is the nearest to -2\/3 in -0.1, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36213, 144704, 325521, 578664, 904133, 1301928?\n\"Answer: 36163*q**2 + 2*q + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**2 + 148*j + 149. Calculate i(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/9 - 209060*t\/9 - 209072\/3.\nAnswer: 4*(t - 52268)*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o*w**3 + o*w**2 + 236*o*w - o - 937215*w**3 + 1 wrt o?\nAnswer: -3*w**3 + w**2 + 236*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*2 - sqrt(4))\/sqrt(2))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (50\/15)\/(-1)*(-30)\/((-40)\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901*o**3 + 1521*o**3 - 107*o**3.\nAnswer: 2315*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.1. Let g = -2.1 - s. Suppose 26*p = 124 - 20. What is the third smallest value in 5, p, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6633 - -55?\nAnswer: -6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -963 + 2217. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 117, 175, 233, 291?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 17*z**2 - z + 15. Let u be c(17). Let y be ((-4)\/6)\/(u\/42). Calculate the highest common divisor of y and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -fba (base 16) to base 6\nAnswer: -30350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(18) - sqrt(18).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/345184 and 59\/912272?\nAnswer: 12771808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h**2. Let v(u) = 8482*u. What is v(a(k))?\nAnswer: 195086*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 11) to base 8.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 19 = 4*p. Let v(w) = -37*w + 18. Let q(k) = -57*k + 27. Let y(c) = -5*q(c) + 7*v(c). Is y(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 658.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135013*u**5 + 128*u**2 - 339*u.\nAnswer: 8100780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -641, -638, -633, -626, -617, -606?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nndvdndvdq. What is prob of picking 1 d and 1 v?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y + 2*v, 0*y - 5*v - 15 = 2*y. Sort y, -4, 5, 0 in increasing order.\nAnswer: y, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 4*z + 3. Let a be i(-3). Let w be 9\/(-6)*(-380)\/114. Solve 5*c = -5*v - 0*v + 35, a = -3*v + w*c - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089402 is divided by 415?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 13*w - 1. Let t be g(-13). List the prime factors of (38 - 4)*t\/(-2) + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.67 to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55193569 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3189 + 2)\/((-5)\/10)*8\/(-16) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 3. Let g be b(0). Solve 0 = -5*v - 18 + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 608*j**6 - 100*j**4 + 9*j**3 - j**2 + 47807415?\nAnswer: 72960*j**3 - 2400*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 526451 (base 12) to base 14\nAnswer: 25a76d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*b - 30. Solve -o - 4*o = k, 4*k = -4*o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -37. Let q = g + 14. Put 2, 3, q in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*w**3 + 12*h**2*w**2 + 329595*h**2*w - 67*h*w**2 - 61*h + 17*w**3 - 14*w + 1 wrt h.\nAnswer: 2*w**3 + 24*w**2 + 659190*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -32 + (1 + -1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 9 - 1. Solve 0 = -u + 3*u - z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.196981 and 1.61?\nAnswer: -0.31713941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19149, 38449, 57723, 76959, 96145, 115269, 134319?\nAnswer: 153283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-12)\/(-36))\/(4\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 226959.82389 and 0.6.\nAnswer: 226960.42389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 60*c - 21. Let r(s) = -8*s**2 - 94*s + 32. Determine 9*r(t) + 14*x(t).\nAnswer: -2*t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*r**2 - 1956*r**2 + 301*r**2 + 1357*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 539 + 589. Suppose 3*o - 6*k = -3*k + 96, -3*o + k + v = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*0\/(-2)*1. Let f(b) = -b**3 - b**2 + b - 3. Let d be f(j). Let l(o) = 67*o**3 + 5*o + 71*o**3 + 67*o**3 - 204*o**3 + 3*o**2 - 7*o. Calculate l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -343, -538, -753, -994?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21054?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18254859 and 10269?\nAnswer: 54764577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2248 and 54125096.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 46494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/((-480)\/(-8)))\/((-22)\/5)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(236*(-5)\/(-300))\/((-47)\/(-235)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/93791?\nAnswer: -2\/93791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 75 = -2*y, -5*y - 2*c = -0*c + 173. Let f = -6 - y. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + y**5 - y**5 + (0 - 2 + 3)*(-y**5 - y**5 + 0*y**5).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = -0*k - 3*f, -4*k + 5*f - 2 = 0. What is the remainder when 11 is divided by 5 + (2 - (-9)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -165569, -165568, -165567, -165566, -165565, -165564?\n\"Answer: w - 165570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(50*n**2 + 13*n**2 + 10*n - 76*n**2).\nAnswer: 13*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 4}. What is prob of picking 2 c and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 25*p - 296. Determine h(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 + -0.19. Which is the third biggest value? (a) -17 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (0 - 6\/(-10))) + (-64 - -63). What is the closest to z in -71.8, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-408)\/(-1360))\/((-1)\/(-10)). Let w = -6 + 3. Sort -2, 0.5, o, w in decreasing order.\nAnswer: o, 0.5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + b = m + 17, -2*b = 5*m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8345 + 8364. Suppose 4*r = -16, t + 5*r = -0*r - 16. Put w, -3, t in ascending order.\nAnswer: -3, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 47 = 43*w - 69 - 2288 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*r**2 - 2798311*g**3*r - 2*g**2*r + 168232406*g*r**2 wrt g?\nAnswer: 12*r**2 - 16789866*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from sdhhdihhidp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/12)\/(30\/(-40))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1306, 5752, 13326, 24028, 37858?\n\"Answer: 1564*a**2 - 246*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188 greater than or equal to 3178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(637) + 1 - (sqrt(637) - sqrt(637)*-1)*-6 - 6*(3 + sqrt(637) + 0))*5*-2)**2.\nAnswer: -117600*sqrt(13) + 3135700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8458760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 5 + 5)*(-2*a - 2 + 2) + (a + 0*a - 14*a)*(-24*a - 34 + 34) to u*a**2 + d + t*a and give u.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 7 + 3)*(-2 + 3 - 5) + 0 + 3 - 4)*(4 - 2*m - 4) as n*m + b and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = -2*z + 51, -z = 3*x - 25. Suppose j = -p + 45, 5*j - 193 = 5*p + z. Calculate the common denominator of j and (((-2527)\/1007)\/19)\/((-11)\/44).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -10012110002102220?\nAnswer: -10012110002102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5634\/65 - 438\/5. Which is the biggest value? (a) t (b) -1\/9 (c) -2\/15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4, -2*t - 2*f = -0*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + o**2 + o + 2. Let h(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/6 - b**2\/2 + 77*b. Determine -f(x) - h(x).\nAnswer: -4*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 4*y**3 + 5*y**3)*(432*y + 767*y + 225*y) - 10*y + 2*y**4 + 10*y.\nAnswer: -1422*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -1622643?\nAnswer: -1622643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -220, -229, -242, -259, -280?\n\"Answer: -2*b**2 - 3*b - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/44*(-1272)\/(-14787).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-3*v - 2*v + 2*v)*(4 - 4 - 4)*((-2*v + 3 - 3)*(0 - 1 - 1) + v + v + 0*v + 4*v - v - 2*v).\nAnswer: 336*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.02 - 218. Let h = -211\/6 + 35. Which is the third biggest value? (a) h (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-3 - -6) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 249594 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -1574*b + 1571*b + 185327, 0 = -2*h - 2. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 4*o + 2. Let z be b(7). Let y be (-1)\/(38\/z) + 2. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**3 - 10 - 15*d + 16*d**3 - 32*d**2 + 1 + 10*d + 0. Let y(t) = t**3 - 8*t**2 - t - 2. Calculate 2*b(m) - 9*y(m).\nAnswer: m**3 + 8*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002485 to five decimal places.\nAnswer: 0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Suppose 9 = 4*s + y. Determine l so that -4*l + 4*l**s - 5*l + 3*l + 2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64396.46458 - 64397. What is i rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*s - 0*f + f, -f = -5*s + 25. Suppose 0 + 8 = 2*p. Suppose -p*w + 1 = w + 3*i, -s*w + 4*i + 22 = 0. Solve 0 = -n + g - 4 + w, 2*n = 4*g + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 16*a**4 - 2 + 7*a**4 + 6*a**4 + 0 + 3*a - 30*a**3 to the form k + t*a**4 + h*a + j*a**2 + u*a**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-16)*0 - 52\/(-13). Let o = -2 + -3. Is i > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 3\/2*z**3 + 0 - 5*z**2 + 1\/20*z**5 - 2*z + z**4. Is q(-11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 5204800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w - 14. Let g(m) = 1536*m**2 + 4*m + 28. Let k(x) = g(x) + 2*j(x). Let z(a) = -8*a. Calculate z(k(y)).\nAnswer: -12272*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 + -15151031?\nAnswer: -15150343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78886485*k**2 - 2*k**3 + 78886485*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/5 + -179\/45. Which is the closest to 2? (a) 0.2 (b) y (c) -3 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*k = -4*f + 220*k + 8, -6*f - 3*k = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*a + 75 = 5*a, -4*k + 75 = -a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/4*48\/18 - 4. Let h be 14\/f + 21\/42. Sort h, -34, 0.4 in ascending order.\nAnswer: -34, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:18 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 550695*a - 2. Let w(r) = -3*r. Determine d(w(j)).\nAnswer: -1652085*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**1\/(q**(-1\/9)*q\/(q*q**8)*q) assuming q is positive.\nAnswer: q**(430\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/44000 and 43\/46200.\nAnswer: 924000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6112, -2, 0.4?\nAnswer: -6112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49*(-7)\/49 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -19 - (-4 + 3 + 2). Let j be t\/(-15)*(-6)\/(-32). Find x, given that -3\/2*x**3 + x**4 - j*x + 0 - 1\/4*x**5 + x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 89*b + 159*b.\nAnswer: 232*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2\/2 + 9. Let f be z(0). Let s be (-4)\/(-10) - (-114)\/15. Solve 4*x + s = -f*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219663717024 take away 0.5?\nAnswer: 219663717023.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 1\/7, 3\/8, -10.7, -4\/7.\nAnswer: -10.7, -4, -4\/7, 1\/7, 3\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - 0) + -5 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14648c (base 16) to base 7\nAnswer: 14234246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.011 - -0.011. What is the nearest to -0.1 in -1\/3, l, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 134757?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 77085678 to the nearest 100000.\nAnswer: 77100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19\/3, 15\/11.\nAnswer: -1, 15\/11, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/32 in -2, 138, -0.5, -106?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.68 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2 - 0. Let x(o) = -o**2 - o - 1. Let y(w) = 8*w**2 + 8*w + 7. Let i(h) = 6*x(h) + y(h). Let r be i(q). Let b(s) = -s - 2. Determine b(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 439*c - 12505. Calculate m(32).\nAnswer: 1543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 83 + 2. Let t be 10\/2 + 9\/l. Suppose t*h - 84 = -2*y, -2*y + 30 + 52 = 3*h. Calculate the greatest common divisor of y and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -1, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 - 6*t + 2. Let i be n(-6). Is i\/(-3)*24\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 0, -9 = -4*q + 5*w - 2. Suppose q*h + h - 140 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-20))\/4*5. Let y(o) = -o + 3. Let m be y(0). Let v(i) = i**r - m*i**2 + 0*i**2. Let a(n) = 2*n**2. Calculate a(v(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q - 6. Let g be (1\/13*-2)\/q. Let i = g + -32\/91. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-5) + (-238200)\/(-1000) is divided by 213.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let u(c) = 3*c + 22. Let t be u(-7). Let p = -96\/35 + 22\/7. Sort t, s, p in descending order.\nAnswer: t, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 433 + -435. Let w(b) = 7*b**2 - 2*b - 2. Calculate w(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334038 - 1570097 = -37*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 261 = -13*p. What is the highest common factor of 36 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 472 - 471. Let h = 6.8 + -6.8. What is the nearest to h in 7, -1\/10, i?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqci when four letters picked without replacement from {i: 2, h: 4, c: 1, g: 3, q: 1, m: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79684 or -318733\/4?\nAnswer: -318733\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -9.2. Let y = d - -6. Let s = y - -4. Which is the third biggest value? (a) 1\/5 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/7*(1 + -6)\/(-40). Are s and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 28223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1352.4 + 1358.4. Sort 1\/2, o, -2, -6\/5, 2\/5.\nAnswer: -2, -6\/5, 2\/5, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 0.3. Which is the third biggest value? (a) 0 (b) -2\/9 (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345075656.\nAnswer: 2, 13, 23, 349, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)**28)**(-28) assuming r is positive.\nAnswer: r**(-1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206*i**4 - 11*i**3 + 3911*i**2.\nAnswer: -4944*i - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15885894934 minus -2029?\nAnswer: -15885892905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p - u, 0 = -u. Find the third derivative of 2*c**2 - 2*c**3 - 4*c**2 + p*c**3 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (4 - (-4 - -11)) - -4. Suppose 18*u - 5*d = 19*u, 2*u + o*d + 6 = 0. Let l(j) = 4*j + 7. What is l(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/2)\/c)\/c)\/(c*c**13) assuming c is positive.\nAnswer: c**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 78, -2, -4, 3 in decreasing order.\nAnswer: 78, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose -5*u - t*w = 2*w - 35, -20 = -4*w. Let f(k) = -5*k**2 + 14*k**2 + 13*k**u - 11*k**2 + k. What is f(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107994 and 12054?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 912\/95)*(-9)\/(-9).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - i = 550, -3*i = -c - 4*c + 918. Suppose -c = -4*y - 35. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/(-14) - ((-30)\/(-105) - 20\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + 3*g. Let a(p) = -15*p**2 - 2*p**2 + 42*p - 21*p - 15*p. Give 6*a(l) - 11*w(l).\nAnswer: -3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**3 + 0 - 6*p**2 + 0*p**4 + 1\/30*p**5 + 0*p. Let i(k) = -3*k - 158 + 158. Give u(i(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -6195, 3 in descending order.\nAnswer: 5, 3, 2, -6195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**3 - 2*k**2 + k - 4. Let y be m(2). What is the greatest common divisor of 60 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:38 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -82*f**4 + 4*f**3 - 9*f + 38. Let u(c) = -c**4 + c**3 - 2*c - 1. Let q(t) = p(t) - 4*u(t). Find the second derivative of q(j) wrt j.\nAnswer: -936*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Suppose -4*k + 31 = k + 4*i, 2*i = 4*k - m. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Let b = y + -2. Let w(n) = n**2 + 4*n - 3. Calculate w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*k + 141*k = 3780 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*d + 2*m + 24, 0 = -4*d - 5*m + 33. Solve z - d*z = -6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 84*k - 1680. Calculate r(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -38) + -4 + -4 + 7 + -9\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36340 (base 7) to base 8.\nAnswer: -22334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 309219212 a multiple of 4039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-12)*84\/(-28). What is the fourth smallest value in j, 5, 0.9, -0.3, 2\/9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 w when three letters picked without replacement from vvgcowovoowvvvvvoc.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 3*n**2\/2 + 43. Let q(d) be the first derivative of 3*d**2\/2 - 2. Determine -4*a(g) + 5*q(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000097 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-2) + 3)*(-128)\/96. Solve 0 = 3*z - 4*u - 10, -r = -z + u + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpx when three letters picked without replacement from {d: 1, x: 3, p: 1, r: 2, n: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(891) + -3 + sqrt(891))**2.\nAnswer: 36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -28*j**2 - 87*j - 9. Let f be b(-3). Let v(t) be the third derivative of f*t - 1\/60*t**4 + 1\/600*t**5 + 1\/15*t**3 + 7*t**2 + 0. Factor v(x).\nAnswer: (x - 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 2*s**2 + 0*s**2)*(800*s - 330*s + 396*s)*(3*s + 4 - 4).\nAnswer: -7794*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 410*x - 816*x + 408*x.\nAnswer: 2*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 222120220012 (base 3) in base 13?\nAnswer: 154295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2*(-7)\/(-14). Suppose s - i - 1 = q, -3*i + 6 = -4*s + 14. Solve -d - s*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -5. Let z be t\/(-3)*(-1)\/(-6). Put -0.2, -4, z in descending order.\nAnswer: -0.2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9292 + 9294. Let x(h) be the third derivative of 0 - 13*h**s - 3\/8*h**4 + 3*h**3 + 0*h. Differentiate x(d) wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i - 835910 = -2*a - 53*i, 3*i = -6. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 times -3?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6382 + 2\/2 - (3 - 11)\/(-1). Which is smaller: -6391 or x?\nAnswer: -6391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216159211*i**2 + 102497830 wrt i.\nAnswer: -432318422*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/(f\/f**(-12))*(f*f\/f**(-2\/7))\/((f\/(f*f**(4\/11)*f))\/f))**(-3\/38) assuming f is positive.\nAnswer: f**(1773\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -61550 (base 7) to base 16\nAnswer: -3ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.08 + -0.08. Let l = -35.9 + u. What is the second smallest value in -4\/5, -4, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -21325, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 69. Let q be w(22). Let y be (-2)\/q + (4 - (-172)\/(-6)). Is 112\/y*(-135)\/6 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:48 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14213.985 + 14180. Let a = -0.265 + s. Let n = a - -6.35. Round n to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**2 + 286 - 187 - 107 - 8*v + 2*v**3. Calculate t(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6)\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/12 + 3\/4. Let o = -0.03 - 0.27. Let y = 17241 + -17238. What is the nearest to w in o, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 195 and 141.209.\nAnswer: 336.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15185565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caqcqcaaqqccaac. Give prob of sequence caa.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7845 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Put -13, -2, y, -5 in decreasing order.\nAnswer: y, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 5 - 19 - -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 3. Give t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 2208.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, -5\/4, -4, 2 in descending order.\nAnswer: 4, 2, -1\/2, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 6*w - 36. Let t be (384\/(-224))\/(3\/(-21)). Let x be j(t). Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(6*z - 2*z - z - 2*z + z + 3*z + (-4*z + 5*z + z)*(1 + 3 - 2) + 4*z - 4*z + z + 2*z + 3*z - 6*z + 3*z - 2*z + 0*z).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12814110.\nAnswer: 2, 3, 5, 173, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 161*f - 2504. Give m(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 9. Let w = 3 + t. Suppose 27 = 2*a + w. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1172 = -153*w + 155*w, w - 4*q - 589 = 0. What is the remainder when w is divided by 308?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 7 (c) 64590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**2 - 2315*u + 2315*u + 27*u**2. Let v(s) = 192*s. Calculate k(v(n)).\nAnswer: 442368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 563707\nAnswer: 10710433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1297 - 1289 - (-20 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2 + 5*j + 5. Let l(u) be the second derivative of 13*u**4\/6 + 3*u**3\/2 + 9*u**2\/2 - 4075*u. What is -3*l(y) + 5*t(y)?\nAnswer: -13*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:23 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:24 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 349.0979 centimeters?\nAnswer: 0.003490979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*p - 47760 = 276*p. Solve p*f + 3 = 3187*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2262\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16900534 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11196260?\nAnswer: 2, 5, 559813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*r - 17*r**3 + 607*r - 1205*r + 161*r**3.\nAnswer: 144*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9801184 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(5) - sqrt(45)) + -3)**2 - 2*-2*sqrt(45).\nAnswer: 9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3102, -6\/11, 1\/3, 3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + -1*sqrt(147)) - -1*(sqrt(147) + 0)*-3)**2.\nAnswer: 168*sqrt(3) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49289\/161000085 + 3\/32155. Is r at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 134, 214, 310, 428, 574, 754, 974?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 11}. What is prob of picking 1 d and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = o + 3*o + 38, -36 = -z + 3*o. What is the greatest common factor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -796*m - 871*m - 1285*m to r*m + v and give r.\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 11. Let j be g(8). Suppose -j*m - 6 = -8*m. What is the greatest common divisor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from iikkkitktic.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/2762 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 8914*t**3 - 60579*t wrt t?\nAnswer: 24*t**2 - 53484*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -13. Suppose 0 = m*l - 6*l - 586. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10, 3*k - 20 = 2*t - 6*t. Suppose 7*m = k*u - 71, 4*u = 2*m - u + 28. Let z(y) = -5 + 7*y + 2*y - y + y**2. Give z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145 or -73?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0\/(-1))\/1)\/(2\/2). Suppose 5*b - 5*m - 755 = i, -4*b - 4*m + 597 = -m. 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: Calculate ((-12)\/(-10))\/((-8)\/10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -5*l - 2*l. Suppose 0 = -l*i + 9 + 29. Solve 3*b - 13 = i*j, 2 = -4*j - 2*b - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 4*i**3\/3 - 1. Let t(v) = 48*v**2 - 16 + 16 - 51*v**2. Give t(z(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72865 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11187.6 + 13670. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -166.87 (b) 1\/3 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3936 by 3936.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20\/m)\/m**(-23) assuming m is positive.\nAnswer: m**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 3, 6, 5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2821060 and 24.\nAnswer: 16926360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 1:06 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115482 - 115484 - 115435 + 13*n + 346401.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1738a8 - 4?\nAnswer: 1738a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*u**3 + 95*u**2 + 30*u - 80.\nAnswer: -5*(u - 2)*(u - 1)*(9*u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3912 and 77\/76533?\nAnswer: 99799032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13398 + -13407. Sort 1, -22, m in increasing order.\nAnswer: -22, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1600 + 1604. Solve -2*w - w + 6 = 3*h, -v*h = -2*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*254 - (204 - 179).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 19, 6, -2 in increasing order.\nAnswer: -2, 6, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 2*y**2 + y**3 - 17 - 18 + y in the form p*y + t + r*y**2 + n*y**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-19)\/(-5))\/(2\/10). Suppose 3 = -4*m + c. Solve -13 = -m*n + r, n = 2*n + 3*r - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1613399431610.73 - -0.4\nAnswer: 1613399431611.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/12 - 11*z**3\/6 - 15*z**2 + 14*z. Is v(15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8)*-4)\/(17\/(-34)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664742.\nAnswer: 2, 13, 37, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 2 - 2 + 3*d. Let k be l(-4). What is the closest to 1\/3 in k, -1, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + 2 - (-7 + 35\/(-4)) and 91\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256889127 - -376489127. Round l to the nearest one million.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = 3. Suppose 0 = -c*q - 7*q + 441. Calculate the highest common factor of q and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*s = 14, f - 383*s + 5 = -384*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -46*n - 51. Let v be j(-1). What is the fourth biggest value in -22, -1, 2, v?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1107*s**3 - 2*s**2 + 21*s - 40. List the prime factors of g(2).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334242 + 0?\nAnswer: -334242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 2 = 0. Let p be 6\/(-18)*(-36)\/2. Suppose -4 = -5*t + p. Which is the closest to u? (a) 0 (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/9 - 17084*w**2\/9 + 77775085*w\/9 - 4486681650 = 0. Calculate w.\nAnswer: 594, 8245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13096, 13148, 13200?\nAnswer: 13252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10175293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*m - 3*q - 0, -4 = -2*q. Suppose 11962 = -2*h + 5*h + c, 5*h - 2*c - 19955 = m. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 85 - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62697?\nAnswer: 3, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 590579423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 2530605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 6*l + 34. Suppose 240*n - 1042 = 638. Calculate y(n).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02064933 rounded to 5 dps?\nAnswer: -0.02065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 - 3*w**2 - 2*w**2)*(2*w + 4 - 4) + 2*w**3 - 12*w**3 - 4*w**3 to p*w + a + s*w**2 + i*w**3 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -3, -0.1, 0.06, -461?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from {q: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -2*s**3\/3 + 4*s. Let m(x) be the third derivative of x**4\/12 - x**2. Give g(m(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/3)*k\/k**(5\/8) assuming k is positive.\nAnswer: k**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 - 42 = 4*r. Suppose -43 - r = -8*y. Suppose n - y = 1. What is the greatest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphppphhh. Give prob of sequence hhhp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8302*h**2 - 8289*h**2 + 16592*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {w: 1, z: 16, i: 3}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z + 2. Let q be v(1). Suppose -2*p + 14 = 3*l - 3*p, -5*p = 5*l - q. Let x(c) = 1 - 5 + 5*c + l. Let r(a) = -a. Give r(x(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -525 - -527. Suppose 0 = -7*u - 144 + 18. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -11011010000101?\nAnswer: 11011010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n)**(2\/25)\/(n*n*n*n*n\/(n*n\/n**12*n)*n*n\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(-404\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2288\/(-24) + (-2)\/3. Let r(c) = -24*c**2 + 6*c + 11. Let j be r(-2). Is h at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -129. Let t be (-1)\/2*0\/b. Put -1, t, -3, 3 in ascending order.\nAnswer: -3, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -1?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(5\/(330\/(-4))). Let z be 1 + (-1 - (-3)\/h). Suppose -4*x = 2 - 6. Is x at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/5)\/((-3887)\/(-780) + -5). Suppose -2445 + 13653 = m*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928596405?\nAnswer: 3, 5, 11, 19, 271, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3. Let w be h(0). Suppose 0 = 4*z - 8, w*z + 113 = 4*k - 65. Suppose 5*f - 7*f + k = 0. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, 2\/5, -0.1, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(11) + 3) + (sqrt(77)*2*6 + sqrt(77))\/sqrt(7).\nAnswer: -18 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 11*n + 5*n**2 + 21*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 525701880 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(2 - -4)*(-6 + 6). Suppose l + l + 2*m = v, -4*l + m = 10. Let f be (-32 - l)*((-12)\/(-8) - 2). What is the greatest common factor of 75 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -564 - 517384?\nAnswer: -518058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - (-4 - -1). Suppose -x = -b*x. Suppose x = -u + 5, -4*z = -2*u - 15 - 15. What is the highest common divisor of 30 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26457070151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102265502 rounded to 6 decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 3 + 3 + (3*h - h - h)*(-6 + 6 - h))*(53 + 15 + 0).\nAnswer: -204*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 0.1198958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*s + 26 = -16, -682*d + 697*d - s = 126 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1134.71409816?\nAnswer: -1135.01409816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l + 6, 23 = 4*w + l. Solve -5*x - y - 27 = 0, -w*x = -5*x + 4*y + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40790405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/(-2 - -1). Let r = c - -5. Let o(u) = 1 + 1 - 3*u**2 - 3*u + r*u**2. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1228120185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 53*g**2 + 8*g - 3. Let q(c) = 690*c**2 + 105*c - 40. Let w(z) = 3*q(z) - 40*t(z). Find the second derivative of w(l) wrt l.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/36*4\/(-6)*(363 + -358)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/25401375 and -53\/450?\nAnswer: 50802750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b**2 - 49*b**2 + 166*b**2 - 40*b**2 - 43*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 396972?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - z - 1. Let q be h(-1). Let c = 0.46 + -0.85. Let x = 0.11 - c. What is the third biggest value in -0.4, q, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/21 - 11\/42. Suppose -44*c + 6 = -42*c. Suppose -2*k - c*i - 7 = -4*i, 0 = -k - 3*i. Put m, k, 0.4, -1 in increasing order.\nAnswer: k, -1, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*d*k**2 - c*d*k + 37*c*k**2 + 3*c*k - 3*c - 130588*d + 216*k**2 - k wrt d?\nAnswer: -3*c*k**2 - c*k - 130588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 25428*f + 215527728.\nAnswer: 3*(f - 16952)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-5 - ((-1 - -4) + (67 - 77))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:23 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263772?\nAnswer: 2, 3, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20705858281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29550.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 4*k**2 + 0 - 5*k - 4. Let n(s) = -7*s**2 - 4*s - 7. Let u(y) = -6*n(y) + 10*w(y). Let u(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-10 + 4) - (-2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11042 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*x**3 - 1908 + 22*x**3 + 219*x**2 + 1908 wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164178331.\nAnswer: 164178331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 159806, 159807, 159808, 159809, 159810, 159811?\n\"Answer: l + 159805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*q - 235*q + 536783. What are the prime factors of q?\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 89467772*p**2 - 12 + p + 14.\nAnswer: -89467772*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2817681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 6*t - 2. Let k(w) = w**2 + 6*w + 1. Let b(g) = 6*h(g) + 5*k(g). Let v be b(-5). Let c(l) = -17*l. Is c(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -49 - (-106 - -120 - (-9 - -1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326228, -652331, -978434, -1304537, -1630640?\nAnswer: -1956743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3 - (-3)\/9. Let d(o) be the first derivative of 3*o**4\/4 - o**3\/3 - 3*o**2\/2 + o - 2. List the prime factors of d(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 35 = 2*l, -u + 10 = l - 7. Suppose 5*w = 2*k + 8, -5*k + 2 = -5*w - 8. Calculate the remainder when l is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2493490 times -0.08\nAnswer: -199479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2977277 micrometers in kilometers?\nAnswer: 0.0000000002977277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -8. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127440054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17347 * -3.\nAnswer: -52041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40347*l - 40334*l + 429 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683961436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -16135552*q**5 + 32*q - 96*q + 68*q**3 + 16135548*q**5 = 0.\nAnswer: -4, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20468627 - 470819.\nAnswer: -20939446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725 = 13615238*y - 13615163*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 45*x**2 - 122*x + 80. Let h(m) = -m**3 + m. Let o(f) = -g(f) - 2*h(f). Factor o(k).\nAnswer: 5*(k - 4)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*r + 184 = 218*r - 519 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000640575 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 8 + 5)*(-4*s + 5*s - 5*s)*(-3*s**3 - 4*s**3 + 8*s**3) in the form n + x*s**3 + b*s**2 + m*s**4 + y*s and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 436277 or 436777?\nAnswer: 436777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y**2 + 9*y - 24. What is the units digit of v(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -22.5 (c) 1 (d) 3.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3788.0000004938 - -3788. Round x to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g - 28*g - 3*g**2 - 11*g - 2*g**2 - 50*g.\nAnswer: -5*g**2 - 67*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 66\/32)*8148\/22. Let l = n - 255\/11. Calculate the common denominator of l and 79\/10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 262?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*p + 12*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 5*o, 2*w + 3 = -o - 3. Let i be 6\/(w - 3 - -8) + -1. Solve 4*x + i*v = -8, -3 = 3*x - 3*v + 6*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130822190 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u = -71*u - 2384. Let y = u - 145. Solve 2*h = 6*h + 4*v, 0 = 5*h - y*v + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + 7 + (-1 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6578 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 12*l - 4. Determine r(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -16)*(18 + -17). Suppose -j*l + 5230 = -11*l. List the prime factors of l.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2)\/((-9)\/(-6)). Let p = -4 - 24. Let n = -25 - p. Solve 2*o = 4*s - d*o, n*s = -2*o - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*p - 0*p - 29, -27 = -3*u + 3*p. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298\/3 - (6 - 34\/6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Sort -2, b, 5 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + i - 31 - 30.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1 - 5 + 3 - 3*k. Let x(p) = 27*p**2 + 6*p - 5. Let w(o) = -5*o**2 - o + 1. Let n(b) = 11*w(b) + 2*x(b). Give 3*n(s) + q(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by -340.\nAnswer: -77\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 21\/5, 0.5, -3, -0.12, 10\/101?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3968\/13*j - 2\/13*j**2 - 1968128\/13 = 0.\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9833\/1600 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 339 = -10*c + 24*c. Let o(q) = 4*q - 1. Let t be o(1). Suppose 596 + 31 = t*j. Calculate the greatest common divisor of j and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, and 1 r when three letters picked without replacement from {d: 4, r: 2, y: 3, n: 2, l: 4, p: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/732 and 115\/11407854?\nAnswer: 22815708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s - 72. Let d = -11 - s. Calculate the smallest common multiple of d and 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 64 = -5*m. Calculate the greatest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s - 1. Let b be i(4). Suppose -7*d + 4*d = -b. Solve 4*y = -o - o + 22, -d*y + 2*o + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**3 - 12*x**2 + 11. Let w(i) = -5*i**3 + 6*i**2 - 6. What is -6*g(l) - 11*w(l)?\nAnswer: -11*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122611188?\nAnswer: 2, 3, 7, 29, 50333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/27)\/7 - 644\/(-126). Solve 2*g - 24 = -u*c, c - 6*g + 2 = -3*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -30, -51?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3887313618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 8*c**5 + 72*c**4 + 34*c**3 - 272*c**2 - 264*c - 64 = 0?\nAnswer: -8, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*g - 5*g + 30 = 0, -4*b = -2*g + 22. Let x be (b - -4)*(-3)\/(-1). Suppose 5*i + l - 69 = 0, -3*i + 61 = 2*i - l. Put x, 0, i in descending order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 - n + 1. Let a be 14\/42 + (-4)\/(-6). Let g be f(a). Let w be g*2 + 0 + -11. Which is bigger: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -144 and 51.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -852*h**2 - 7*h + 1655*h**2 - 837*h**2 to the form n + a*h**2 + z*h and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(-2*q + 0*q + q) - 17*q**2 + 25*q**2 + 30*q**2.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007022067 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3 - 7*n**2 + 10*n + 8*n**2 + 0. Let q be s(-10). Let z(a) = -2 - 6*a - 3 + a**q + 5*a**2 + 0*a**2. Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from pggaggapgtpz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2 (b) -157 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 31185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 4.\nAnswer: 163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2\/3)\/((-20)\/105)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 1, c: 5, b: 2, s: 3, x: 8}. Give prob of sequence xbt.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 27 = -3*m + 62. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let j(y) = 5*y - 13. What is the least common multiple of 9 and j(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 3. Suppose -d*y = 5*k - 53, y + 4*y + 3*k = 63. Let c = y - 7. Calculate the remainder when 14 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(2176)*2 + sqrt(34) - sqrt(306)*3)\/((-2*sqrt(128)*1 - sqrt(128))*-6).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/(-3))\/(-4))\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-13) + -12 + 18\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 4. Let w be 7 + (-48)\/14 + 9\/21. Let d(o) = 25*o + 12. Let q be d(w). What is the highest common factor of q and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*((-60)\/25 - -2). Which is the second smallest value? (a) 0 (b) 1\/7 (c) h (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -770*s + 3038. Give d(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5))**(-9) assuming s is positive.\nAnswer: s**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*g + 16 = 2*y - 167*g, -6*g + 40 = 5*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90)*-5)\/(sqrt(36)\/(2*sqrt(6))))\/(sqrt(55)\/(sqrt(33)\/sqrt(3)) + (sqrt(5) - (sqrt(5) + -2*sqrt(45))) - (2*sqrt(125) - sqrt(125))*-1).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - 7*w**2 + 26*w + 1. Let a(r) = 11*r**3 - 21*r**2 + 71*r + 4. Let x(h) = -3*a(h) + 8*l(h). What is x(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -83*s**2 + 8058*s - 702. What is l(97)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/36)\/(1\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.458, -22, -560, -2?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r. Let u(x) = -x**2 - x + 6. Is u(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 24*t**5 - 670*t**4 + 544*t**3 + 1346*t**2 + 108*t = 0.\nAnswer: -1, -1\/12, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 - 5 = 5*p, 3 = -2*p + 3*q. Let t = p - -14. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42030428 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 734472.9 meters in nanometers?\nAnswer: 734472900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 j when four letters picked without replacement from {g: 1, z: 6, j: 2, u: 1, m: 5, e: 5}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*sqrt(76)*-1 - (1*(1*sqrt(76) + sqrt(76)) + sqrt(76))))\/(sqrt(16)\/(1*sqrt(4)) + (sqrt(132)\/sqrt(3))\/sqrt(11)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - -3) + 7\/((-49)\/28). Let d(b) = b + 9. Let y be d(-7). Solve y*n = 2*l - 2, -4*n + l + 0 = -s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 3*m**2 - 140 + 0*m**2 + 65.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, -167, -702, -1741, -3452?\n\"Answer: -28*j**3 - 3*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4296.6906 - -563?\nAnswer: -3733.6906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*n**2 - 21 + 21 + n**2 - 5*n**2 + 3*n**2 + (n - n - n)*(n + 4*n - 4*n) - 7*n**2 + 5*n**2 - 7*n**2.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32264 - -32339. What is the closest to -0.4 in -5, q, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 15*s - 11*s + 4*b, 3*s + 2*b - 17 = 0. Suppose -3*z - 12 = -3*w, -z = -2*z - 4*w + 16. Solve -2*y + z + 12 = -4*u, -u - s = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1260514425 - 5?\nAnswer: 1260514420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83904793 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*c**3 - 2270789*c**2 - 169012194*c.\nAnswer: -312*c - 4541578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 3*c**2 - 5*c + 2*c + (11*c + 13*c - 10*c)*(-2*c + 0*c - 2*c).\nAnswer: -59*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -119166 less than or equal to -119223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 2 - 177*x**4 - 2*x + 81*x**4 + 68*x**4 + 0 + 2*x**3 + x**2 to j*x**4 + p*x**2 + a*x + s*x**3 + o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48976066 is divided by 765251.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8540284 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163\/231 + -226\/33. What is the common denominator of m and -4\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0991*-97466\nAnswer: -9658.8806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 33*u - 28*u - 30, -4 = -u. Let w = -0.05 + 3.05. Let m = 0.32 + -0.02. What is the closest to -1\/10 in m, w, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9238 + 9288. Solve -3*f - 8*g + g = -20, -5*f - z = -5*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -168. Does 43 divide 1040*(4 + x\/(-30))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppgppp. Give prob of sequence gg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47302 (base 9) to base 14.\nAnswer: b728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -99 times 8596\nAnswer: -851004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h**2 - h - 6. Let v(b) = 44*b**2 - 3*b - 17. Calculate -11*q(t) + 4*v(t).\nAnswer: 11*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y + 4*y)*(22 - 23 + 28) + y + 0*y + 0*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -490, -757, -1024, -1291?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/(-39))\/((-164)\/3198))\/(4\/(-4))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43471631?\nAnswer: 7, 313, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -1 + sqrt(175))*4 - (0 + sqrt(847) + sqrt(847) - ((sqrt(168) + sqrt(42))\/sqrt(6))**2).\nAnswer: 18*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1463778026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.5, 2.181437.\nAnswer: -0.5, -1\/6, 2.181437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.11 and -2098.3.\nAnswer: -2095.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1 + 51\/12)*660\/(-55)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17710.7 + 178002.521?\nAnswer: 195713.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*z = 402*z - 3*b + 107, 4*z + 4*b = 212. Which is bigger: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 52. Let v(d) be the first derivative of -6*d + x + d**3 - 3\/2*d**2. Factor v(o).\nAnswer: 3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 0*v**3 + 71*v - 73*v + 2*v**3 + 4 to x + n*v**3 + a*v**2 + d*v and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*r - 2 = 5, 3*a + 2*r = 34. Suppose 3*z + z - a = 0. Solve -4*y - z = 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -197*c**5\/5 - 27*c**2 + 5*c + 156. What is the second derivative of b(a) wrt a?\nAnswer: -2364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u - 95*u + q - 10335 = 0, -2*u + 10336 = 2*q. What are the prime factors of u?\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 58 = 9*r. Calculate the lowest common multiple of 137 and r.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {j: 3, g: 2, d: 5, y: 5, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 5*p - 243. Solve -4*w + 3*d + 9 = 0, 0 = -7*w + 3*w - 3*d - p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -91.\nAnswer: -91.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 - 2*k**2 + 10*k + 2. Let m(h) = -3*h**3 - 3*h**2 + 11*h + 3. Let u(x) = 3*m(x) - 4*y(x). Suppose u(n) = 0. Calculate n.\nAnswer: -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 30*y + 24. Let a be w(15). Solve -a = 4*r - 10*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -348*m**2 + 137*m + 903*m**2 + 16*m**3 + 17 - 275*m**2.\nAnswer: (m + 17)*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128, -161, -90, 91, 388?\n\"Answer: d**3 + 46*d**2 - 178*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 23, 0, -3\/8, -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -89.5. Let b(x) = -x + 3. Let m be b(2). Let p be (1 + m)*6\/(-30). What is the closest to 0.1 in f, p, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1830 = 5*t, -3*t + 0*t + 1124 = -4*a. Suppose 0 = -4*i + 3*o + 5441, i + 3*o - 996 - t = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-9))\/(3\/6). Suppose -c*t + 3*a + 79 = 0, -4*a + 81 = 4*t - 9*a. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/3)\/(10\/30). Let u = m + 7. Let o(x) = 1 + 1 - x + 4. Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 4}. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 3}. What is prob of sequence aajj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21894\/(-90) - (-10)\/(-75). Let i = 26899\/110 + q. What is the common denominator of i and (-4)\/6 + (-41)\/(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2. Let d(r) be the first derivative of -r**5\/15 - 4*r**2 - 23. Let p(i) be the second derivative of d(i). Determine p(k(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470188587?\nAnswer: 10133, 539839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20 (b) 0.3 (c) 1\/5 (d) 2\/7 (e) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 9*l + 4. Let y be q(8). Let p = y - 9. Let s = 1802 - 1803. Sort 14, s, p in ascending order.\nAnswer: s, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -151. Let z = 30 + r. Let d(b) = -6*b + 28. Let f be d(z). Solve -10 = 2*n - s - 3*s, f*n + 3*s = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38116\/7 - -5448. Factor -2\/7*z**3 + 0 + 2*z**2 - d*z.\nAnswer: -2*z*(z - 5)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -652 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998880448 a multiple of 5620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43560, -174976, -393998, -700626?\nAnswer: -1094860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368\/60 + 2\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-10))\/(1\/(-5)). Let j = 691 + -693. Let p(k) = k**2 + k + 1. Let g be p(-1). Put g, r, j in descending order.\nAnswer: r, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(140) - (sqrt(140) + (sqrt(140) + (sqrt(140) - -1*sqrt(140) - sqrt(140) - sqrt(140)))*-4 + sqrt(140)))\/sqrt(4))\/(sqrt(567)*3*-6).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85)*-1 + sqrt(85) + sqrt(85))*-1)\/((2*sqrt(5) - sqrt(5))*1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4485, 4.\nAnswer: -4485, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2 - (-7 + 3)) + (-6 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i + 3*i. Suppose -2*m - 2*f = 8, m - 4*f - i = -3*f. Solve m = -c - 1 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7676441081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-748*n + 2 + 473*n - 1)*((3*n + 2*n - 6*n)*(-n + 0*n + 0*n) - 5*n**2 + 5*n**2 + 5*n**2) to the form a*n**3 + t + o*n**2 + h*n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = -2*d - 3*y, -2*d - 4*y = -12. Let t be d\/(-10)*(-12)\/(-8). Let x = -182 - -182.1. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 34554514?\nAnswer: 34554520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)*o)\/(o*o**(2\/19)\/o) assuming o is positive.\nAnswer: o**(-23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = k - 34. Let n = -20 + k. Which is the biggest value? (a) n (b) 0.1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*6 + 5.\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/3 - a**2\/2 - 39*a. Calculate the remainder when 83 is divided by u(22).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082057 and 1290933.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-70) - (306\/105 - 3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1232.5 times 18\nAnswer: -22185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 45. Suppose 0 = -2*d + n - 0*n + h, 5*d = -n + 44. Suppose 0 = -v + 3*x, 2*x = v - 0*v - 4. Solve -4*k = -3*q - d*k - v, -2*k = 5*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**5 - 6*x**4 + 57*x**3 + 60*x**2 = 0?\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 + -71. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 7 + 2 - 1 - 3. Let y(g) = g**3 - 3*g**2 - 2*g + 2. Let v be y(2). Determine c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 1190 = 0. Suppose 0 = 5*u - h - 350. Suppose -46 - u = -6*q. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*sqrt(76) - (sqrt(228) + (sqrt(228) - (sqrt(228)*-2 - sqrt(228))))\/sqrt(12))*2)**2.\nAnswer: -52*sqrt(19) + 12845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -5*j - b - 33132, -3*b - 12 = 0. Is j a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 81*h - 79*h - 10, h = -4*s + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-6*-6)\/(sqrt(128) - -5*sqrt(128)*2).\nAnswer: 9*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2 + 21\/14. Factor 19 - 2*a**4 - a**4 - o*a**3 - 16 + 6*a.\nAnswer: -3*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/4*644\/184\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 49*u**2 - u + 2. Let h be i(1). Let f be (-44 + 19)*(0 + -4). What is the highest common divisor of f and h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (7 - 8)) + -4 - (0 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttwwwttttwwtwtw. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44304083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532, -551, -576, -607, -644, -687, -736?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1283211000 to the nearest 1000000.\nAnswer: 1283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 14 - 26 = 0. Let m(v) = -v - 1. Let u(c) = -4*c**2 + 3*c + 8. Let n(s) = -2*m(s) - u(s). Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let s(y) = 4243*y**2 - 288. Determine s(a(h)).\nAnswer: 16972*h**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z**(-2\/95)\/z)\/z*z*z\/z**(1\/19)*(z*z**(-5)*z)\/z**27 assuming z is positive.\nAnswer: z**(-2762\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 + 2*g - 1. Let p be i(-2). Let n(v) = -3*v**2 - v - 12 - 214*v**3 + 213*v**p + 7*v. Is 4 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2936320039.800003275 - -2936320100. Let z = b - 60.2. What is z rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9 (b) 0.4 (c) -0.4 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 88810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 3*t + 2. Suppose 4*p - 12 = -5*j, -5*p + 3*j = 4*j - 15. Let d(a) = -2*a**2 - 3*a - 2. Give p*d(b) + 2*x(b).\nAnswer: -2*b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5761 - 910. Calculate the remainder when (4\/(-3))\/(-9 + 6231\/l) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1307 + -1307.00001854. Round c to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144077241 and 78771?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*c + 32, -u - 5*c + 16 = -3. Let i(b) be the first derivative of 5\/2*b**2 + u*b + 2. What is the first derivative of i(g) wrt g?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 794, 3284, 7392, 13118, 20462, 29424, 40004?\n\"Answer: 809*g**2 + 63*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1930782 - 1930794.99987. Let s = f + 13. Round s to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 = -3*i, -i = -h - 9 + 1. Suppose 3*y + i*l = 1298, -2*y + 644 = -5*l - 263. Calculate the greatest common factor of 98 and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 5*p**2 + 3*p**3)*(3*p**2 + p**2 - 6*p**2) + (-3 + 2 + 2)*(-p**2 + p**2 - 2*p**5).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 437 + 452 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -972751740 divided by -95\nAnswer: 10239492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**2 + 1\/12*g**4 + 5\/6*g**3 + 0 + 0*g. Let r(c) = -2*c**3 - 8*c**2 - 46*c - 116. Let i be r(-3). Determine u(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38830.\nAnswer: 2, 5, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:23 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*b + 212. Suppose b = 2*n + 2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 89. Let j be (-138)\/(-4) + 3\/6. Let c = j - a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 + 0 = 0. Suppose -5*o - 7 = 3*j, 2*o = 5*o - r*j + 9. Let h(l) = l**2 + l. Let u(d) = -d - 1. Determine o*u(p) - 2*h(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from {h: 2, q: 2, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + j, -4*j - 8 = 4*i + 16. What is the units digit of 54\/12*(-22)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 147. Let d be h(6). Let 15*m**4 + 15*m**2 - 85*m**3 + d*m + m**2 + 50 - m**2 + 0 = 0. Calculate m.\nAnswer: -1, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44) - 5*(sqrt(66)\/sqrt(6))**2.\nAnswer: -52 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 6*u + 16 = -4*u, -4*u + 13 + 9 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 - 963*m**2 - 489*m + 488. Calculate n(161).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let r(i) = 2119*i - 4615*i + 4*i**2 + 3911*i + 1137*i. Calculate r(n(x)).\nAnswer: 4*x**2 + 2552*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/6018900?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 24*w**3 + 12*w**2 - 35*w**2.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 4*j - d, 2*j - 2*d - 116 = -6*d. Let y = -51310 + 51330. What is the remainder when j is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -28 - (-3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 394.06086 and 12.61787?\nAnswer: 381.44299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 29 - 74. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 99, 15, 5, 3 in ascending order.\nAnswer: -4, 3, 5, 15, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + 5*q - 5. Let m(w) be the third derivative of -2*w**5\/5 - 2*w**4\/3 + 8*w**3\/3 + 660*w**2. Calculate 5*m(t) + 16*o(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781355, 781410, 781465?\nAnswer: 781520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5387.102 years to centuries.\nAnswer: 53.87102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448889300 rounded to the nearest one hundred thousand?\nAnswer: 448900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**4 - 26*g**2 - 132*g wrt g?\nAnswer: 48*g**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**5\/15 - 3*f**4\/2 + 19*f**3\/9 - 4791. Factor w(g).\nAnswer: -g**2*(g - 1)*(g + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15262488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 0. Suppose -5*o - 27 = -m*i, 2*i - 4*o = -i + 21. Let j = 6 + -8. Which is the nearest to j? (a) 2\/5 (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose -3*q + 15 = -j*b - 62, -63 = -3*q - 3*b. Suppose f = -2*r - 0 + 1, -3*f + 4*r + q = 0. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 26?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -306306?\nAnswer: 306324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - x**2 - x**2)*(-2 - 4 + 4)*(-6*x + 3*x + 2*x)*(-x + 0*x + 3*x) to g + p*x**2 + j*x + f*x**3 + u*x**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 - h. Let u(q) = -q + 2. Let j(y) = 4*y - 9. Let c(o) = -2*j(o) - 9*u(o). What is r(c(p))?\nAnswer: -7*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d**2 - 85*d**3 + 87*d**3 + 57*d**2 as l + g*d**2 + b*d**3 + c*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/3 - 25*y**2\/2 - 233*y. Determine f(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6656)\/(-328))\/((-2)\/14) + (-146)\/442964*-148?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 1927.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -1 (c) -5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-147)\/14) + 2\/(-3). Let t(p) be the first derivative of 2\/33*p**3 + c*p + 1 + 0*p**2. Find x such that t(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/12*-4)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 221066393 divided by 5\nAnswer: 221066393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24459 rounded to the nearest 100?\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + i**2 + 336 - 5 + i**3 - 17 + 85 to k + d*i + c*i**3 + v*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44616121 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(4*p - 3*p - 3*p) + (-10 + 5 + 28)*(0*p - 3*p + p).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let f(b) = 14*b - 2. Let l = 68 - 73. Let a(c) = l*q(c) - f(c). Does 23 divide a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 40 = -5*d, -2*t + 3 = -3*t. Let x(f) = -d - f + 1 - 2*f. Suppose 68 = 3*h + 56. Let j(b) = -2*b - 3. What is h*j(a) - 3*x(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by (708\/(-72) - -10)*-10*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2491, -1, -0.3, 0.2, 168.1, 11?\nAnswer: 168.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {r: 1, x: 1, z: 1, c: 9, n: 8}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162216, -162230, -162244?\n\"Answer: -14*n - 162202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 815\/41903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*g + 488 = 0, 3*g = -3*a + 2*g - 358. Let y = a - -197. List the prime factors of y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 57728400267.\nAnswer: 57728400267.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 13*s - 2*m + 16 = 0, 0 = -s - 2*m - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from kikkkkkkikkkkikkkk.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/357 and 83\/24675.\nAnswer: 419475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(242) + 1 + sqrt(242) + 4 + -3*sqrt(242)))**2.\nAnswer: 1760*sqrt(2) + 4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38895707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 698b + 0?\nAnswer: 698b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24420\/(-2405) - (-1 - 9) - (0 - 288\/1534).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33\/(-6) - -3)*(68\/(-10) - -6). Solve -20 = 4*l - 4*x, 6*l - o*l = -4*x - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000359 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.611 times 5566.2?\nAnswer: -3400.9482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r**4 - r**4 - r**2 - 2*r + 8*r**3 - 4*r**4 = 0. What is r?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/70*5\/((-20)\/7). What is the third biggest value in -0.4, 31\/4, 3\/2, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6211 (base 9) to base 6.\nAnswer: 33014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*a + 17, 3*a + q + 2*q + 9 = 0. Let k = -3 - a. Suppose 0 = 3*s + 5 - 2, r - s - 6 = 0. What is the remainder when r is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - d**2 - 15*d - 4 - 15*d**3 + d**3 + 8*d**3 - 2*d**3 to the form h*d**2 + u + a*d**3 + f*d and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:53 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x. Let i(c) be the first derivative of 9*c**2\/2 + 29. Give f(i(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.994. What is g rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/4 - 5*g**3\/6 - 39*g**2. Let m be q(2). Let p(l) = l - 5. Determine p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.020547156 - -3948756\nAnswer: 3948755.979452844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 11*k + 129 + (1 - 1 - 2)*(-4 - 2*k + 4))*(-1 - 1 + 0).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*q**2 + 455644*q + 4250315 wrt q.\nAnswer: 176*q + 455644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -767, -1148?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 890736 by 14.\nAnswer: 63624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, 13793, 27936, 42079?\nAnswer: 56222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 - 65559\/3731?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*s - 81, -19*s - m + 51 - 101 = 199 + 468 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 780523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2\/3 (b) 1 (c) -0.093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:03 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13035243*q**4 + 28322*q**2 + 120*q wrt q.\nAnswer: -312845832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - 3*a**2 + 4*a - 1. Let w be q(-3). Let f = 26 + 0. Let v = f - w. Are 13 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vjjvvvvvvjjvjjjv.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by ((-2)\/(-5))\/(10\/100).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - p**2 + 6*p**2 + 5*p**2 + p**2 - 11 - 13*p**3. Let z(c) = -7*c**3 + 6*c**2 - 5*c - 6. Let s(r) = 6*u(r) - 11*z(r). Factor s(y).\nAnswer: -y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 5410245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcocdddo. Give prob of picking 3 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17924384 in 0.4, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f - f - 9 + 2*f)*(0 + 0 + 2*f).\nAnswer: -10*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2403, 5, 69, 0, -1 in ascending order.\nAnswer: -2403, -1, 0, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1558*x - 3983*x + 183*x as z + q*x and give q.\nAnswer: -5358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 858 and -0.5133479541.\nAnswer: 857.4866520459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:01 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-3.4115\nAnswer: -2.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + sqrt(34)*1)*-2)\/(sqrt(72)\/sqrt(4)) + -5*(2 + -2*sqrt(17)*5)**2.\nAnswer: -8520 + 596*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611892 and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221 - -34040?\nAnswer: 33415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 7:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 478 + -145. Suppose 69 = p + i, -5*p + 0*i - i + j = 0. Suppose 0 = -3*t - 15 + p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3939 and -16\/489.\nAnswer: 642057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.11 - -31.81. Let v be -1 + (-4)\/34 - -1. Which is the third smallest value? (a) f (b) 0.1 (c) v (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 1 + 13)*(-3*x + 7*x + 3*x).\nAnswer: 203*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 + 175*r**2 + 2445*r + 392. Calculate m(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0 - 2*n + 1)*(3 - 3 + 3) + 11 + 8*n + 0 - 7*n.\nAnswer: 4*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 1 + sqrt(13) + 2*sqrt(117)).\nAnswer: -35*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -37*i**2 - 2*i - 642. Determine n(0).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -c - 3*c - 3*a, -3*c = -5*a - 20. Suppose 0*q + q - 3*s = 45, 0 = -c*s - 10. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255 - 237. Let f(u) = 3*u**2 - 29*u - 19. List the prime factors of f(k).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*0 + 2\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2193281\/3054)\/(1\/12) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 118. Let k(j) = -25 + 2 - 15*j - 5*j**y + 7 + 6 - j**3. What is the units digit of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z + 4. Let n(p) be the second derivative of 2*p**3\/3 + p**2\/2 + p. Let h be 1 - (-3 + 4 - 2). Determine h*s(x) - 9*n(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/18*15\/40.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 4. Suppose 8 = j*s + 5*v, -2*v = -3*s - 7*v + 11. What is the remainder when 57 is divided by (-12)\/27*s*15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -29, -45, -61, -77, -93?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6358139+-46.945\nAnswer: -6358185.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1196 and 1380?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 779936.4.\nAnswer: 389968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -107.\nAnswer: -5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 24 + 21 = 0. Let r(u) = -u**2 + 4*u + 1. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/18)\/((-2)\/(-6)). Let r = -128 - -122. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83302 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 245*x**2 - 102*x**2 - 142*x**2. Let a(y) = -2*y**3 + 11*y**2. Suppose -92 + 246 = 7*c. Determine c*m(i) - 2*a(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16460 and -0.2?\nAnswer: 16460.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 34. Let z be j(11). Let g = 16 - z. Solve 11 = -5*v - p, 0 = -2*v + p - g + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8321*i**4 + i**3 - 6*i**2 - 534193*i.\nAnswer: -99852*i**2 + 6*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049622381.\nAnswer: 31, 3307, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2. Let n(k) = -k**2 - 5*k**2 - 8*k**2 + 2*k**2. What is v(n(c))?\nAnswer: -432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -19*p + 42. Suppose -2*j = 3*n + 7, 4*n = 3*n + 2*j - 5. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 - 2*c. Let z(b) = b - 2. Let q be z(-2). Let t(x) = -3*x**3 - 5*x**2 - 5*x. What is q*t(r) + 10*l(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/((-39)\/(-4)))\/((-33)\/(-39908)). Let m = 124 - p. Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -10*h + 33. Let n = -43 + 45. What is the least common multiple of n and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*a**2 + 24*a**3 + 26*a - 14*a + 3*a**4 + 18*a + 704*a**2 = 0 for a.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - ((6 - 19) + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.46416 nanometers in centimeters?\nAnswer: 0.000006446416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(-28\/9))**11 assuming p is positive.\nAnswer: p**(-616\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:17 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 3, 1, 30049 in descending order.\nAnswer: 30049, 3, 1, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 126843 * 2752\nAnswer: 349071936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-93)\/(-7) - 18\/63. Suppose -4*m + 2*l + l = i, 4*l - 14 = 2*m. Which is the closest to m? (a) -1 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 344 and 344 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apa when three letters picked without replacement from azzppzzzppzzpazpz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*m = 54*m + 175. Solve -8*r = -3*r - m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 18. Find the first derivative of a + 4 - 5*i + 11 + 0 wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (16 - (54 + -17)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1*sqrt(1377))**2*-2 + (-2*sqrt(833))**2 + 0 + (1 + sqrt(17))**2.\nAnswer: -7666 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689 a factor of 1052993577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*h = -368, -2*h = 3*w + 3*h + 1004. Let d = w + 210. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 1, w: 1, a: 2, q: 2, s: 1}. Give prob of sequence ahaw.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1630100, -1630099, -1630098, -1630097, -1630096?\n\"Answer: y - 1630101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -27 + 32. Solve 15 = -5*b - q*t, b = t - 4 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195593*q**4 - 4*q**2 + 133176.\nAnswer: -4694232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -230043, -460068, -690093?\n\"Answer: -230025*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/952 or 3513\/11?\nAnswer: 3513\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1106 (b) 49 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 7*p. Let u be m(-6). Let a be 15\/4*80\/u. Suppose -2*n = 3*n, -a = -5*v - 4*n. What is the common denominator of -20 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 351 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - l + 38 = 0, 0 = 2*l - 4 - 0. Let c be 0\/3 - -156 - -3. Let g = c + n. List the prime factors of g.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -5, -0.3, -8.7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*2*1)\/(1*sqrt(864)*-5).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 4. Let l be o(-6). Let u = l + 1. Let m = 35 + -3. Calculate the remainder when m is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 minutes before 1:50 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 10*m - 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 1, z: 1, m: 3, d: 2, l: 1}. Give prob of sequence mjl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 9. Suppose x*r = -r + 8. Suppose -4*h = 4*v - 88, -7*h - 90 = -3*v - r*h. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.12, -99\/5, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + n**2 + n. Let y(i) = 9*i**3 + 4*i**2 + 4*i. Let s(c) = c**3 - 8*c**2 - 20*c - 2. Let k be s(10). What is k*y(f) + 7*j(f)?\nAnswer: 3*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 23 = 3*v, 21*l - 25*l - 15 = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1902\nAnswer: 5706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(2\/4). Let o = x + 5. What is the third smallest value in 0.2, o, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 964. List the prime factors of u.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 8*o + 9. Let z be i(-7). Let d(u) = z + 2*u - 2 - u. Let j(c) = 0 - 4 + 4 - 3*c. What is d(j(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/26 + ((-15)\/9 - -3). What is the nearest to -2\/11 in 0.1, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3142*a**2 + 1047*a**2 + 1050*a**2 + 1051*a**2 - a**3 + 21 to t + z*a + j*a**3 + b*a**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*x = 30 + 10, 10 = -2*v + 5*x. Suppose -2 + v = k. Suppose -12 = 2*m - k*m. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1*sqrt(1100) + -1)**2*3 + 5.\nAnswer: -120*sqrt(11) + 13208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbsxsjsbsssb. Give prob of picking 2 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(4*p - 6*p + 3*p) + 3*p - p + 3*p - 20*p + 10*p - 20*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1495 and 417\/273 + 18\/(-2) - (-21)\/3.\nAnswer: 10465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/23))**(-6\/11)\/(r*r**(-6)*r)**33)**15 assuming r is positive.\nAnswer: r**(500760\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/4))**20 assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*b + 41 = 0, 3*v - 82 + 15 = -5*b. Suppose -4*y + v*y = 2030. What are the prime factors of y?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 - -0.26. Let q = 9.3 + -9.6. What is the closest to q in h, -2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + -101?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/3 + 82*o\/3 - 80\/3 = 0 for o.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.191887 * -6.\nAnswer: -133.151322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 419081678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 18*s - 12. Solve 0*y - s = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l - 3. Let p be u(4). Suppose o - p*o - 11 = 3*w, 2*w = o. Let a be -2*w\/(-2)*-4. Let d(c) = -2*c + 4. Determine d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus 18380634?\nAnswer: -18380656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**7)\/u*u\/u**3*(u**(-2\/3))**(-25\/6)*(((u*u\/(u*u**(2\/5))*u)\/u)**30)**48 assuming u is positive.\nAnswer: u**(7720\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3*(16\/(-14) + (-14)\/(-98)) and 316.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -15 - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/3 - -35\/12. Suppose -8*s + 28 + 36 = 0. Suppose -70*g - s = -66*g. Which is the closest to 1? (a) 2\/13 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -480378, -1921666, -4323812, -7686816?\n\"Answer: -480429*c**2 - c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -32*g**2 - 482*g + 18. Let v be z(-15). Calculate the highest common factor of v and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -572*q + 577 wrt q?\nAnswer: -572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10130122 (base 4) to base 9.\nAnswer: -26864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -67824\/17 >= -3990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411 is divided by 1079.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:41 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -2*i. Let d = i - 7. Let t be 8\/(-10)*(156\/24 + -9). Put t, 0, d in ascending order.\nAnswer: d, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3641719 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2742, -18, -130 in ascending order.\nAnswer: -130, -18, 2742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - 32 - 29 = -16. Put 19, a, 3 in ascending order.\nAnswer: a, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851996401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let u(g) = -4226*g**2. Determine u(z(i)).\nAnswer: -4226*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 16 + 10 - 130097*a + 6.\nAnswer: 2*a**2 - 130097*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*j**3 + 198 wrt j?\nAnswer: 351*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -77, -111, -143, -173?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (27090\/(-3360))\/(24\/64)\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.239 - -3.761. Put 46, w, 0.3 in ascending order.\nAnswer: 0.3, w, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (-58 - -64)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 22*s - 19. Suppose 48 = -19*f + 15*f. Let d be b(f). What is the greatest common factor of d and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 31. Let m(k) = 37*k + 8. Let u(w) = -225*w - 50. Let z(h) = -25*m(h) - 4*u(h). What is z(l(x))?\nAnswer: -50*x - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**3 - 12312*w + 12315*w + 0*w**3 + w**3 - 1 to x*w + b + y*w**3 + g*w**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/3888*-27*(66\/8)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -20ccb?\nAnswer: 21003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4882 - 4747. What is the remainder when p is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.04, 628, -1\/8, 2\/15?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 5*q. Let w be v(5). Suppose 0 = -3*z - 0*z + m + 8, 0 = 2*z + 3*m + 2. Let r(f) = z*f**2 + 89 - 94 + f - 3*f**2. Calculate r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (-2 + 1*sqrt(180) + 3 + 4)*2)**2.\nAnswer: 240*sqrt(5) + 815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + sqrt(1872) + sqrt(1872)*2)**2.\nAnswer: 720*sqrt(13) + 16948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**3\/3 - 7*j**2 - 131*j. Determine o(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 3)*(-7*n - 3*n + n) - 4848 + 3*n + 4848)*(2 - 6*n - 2).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29917 divided by -2\nAnswer: 29917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271328203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16975 = 5*a, -13610 = -4*r + 73*a - 75*a. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(9 - 4) - -36. Suppose 6*n - 5*n - h = 0. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -81*c**2 - 5*c + 78. Let y(i) = i**2 - i - 1. Let m(b) = 5*y(b) - z(b). What is the derivative of m(t) wrt t?\nAnswer: 172*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-11 - -2) + -41 + 51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 at least as big as 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5 (b) 16 (c) -2\/113 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257526 + 16?\nAnswer: 257544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1, -14, -0.2, -1\/13, 2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9162 and 1334289546?\nAnswer: 9162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from iqiqkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Suppose -x - 15 + 1 = a. Is -1*(x + 0 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 51 = 53. Let o(v) = -4*v + 0*v**2 - i*v**3 + 1 + 3*v**3 + 4*v**2 + 6*v - 3*v. Give o(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -0.01. Let g = w + 0.1. What is the closest to g in 0.3, 2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 64. Let u = r - 9. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 35*x**2 - 69*x - 158. Let g be l(37). Solve 21 = -g*c + 20*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*15\/(675\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082\/(-5951) + (-3 - (-2481)\/759)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -33*l + 317. What is k(-11)?\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091\/7 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n**3 + 52*n - 52*n + (-5*n + 4*n + 2*n)*(4*n**2 + n**2 - 6*n**2) + 2*n**3 + 1 - 1 + 13 + 13*n**3 - 13)*(0*n + 0*n - n).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 240 - 860. Let n(h) = -2*h**2 + 51*h - 120. Let f be n(20). Calculate the highest common factor of y and f.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 13895718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -5 + (sqrt(5) - (sqrt(5) + (-2*sqrt(320))**2)) + (sqrt(5) + -1)*-2 + 4 + 0).\nAnswer: 12*sqrt(5) + 7644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 12, 0 = -5*h - 2*d + d + 53. Suppose c - 1 - 22 = -5*i, -c + 2*i + 2 = 0. Let u be h\/40 - (-6)\/c. Solve 26 - u = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aai when three letters picked without replacement from {a: 10, i: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 33432*u**2 - 93041175*u - 559451250.\nAnswer: -3*(u - 5575)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 36*d**2 + 38*d + 46. Calculate the least common multiple of u(-37) and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 49\/(-3)*(-17)\/(85\/540). What is the greatest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/33, -3, -6\/5, 4 in increasing order.\nAnswer: -3, -6\/5, -4\/33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r + 450 = -640 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 + -5.4. Suppose -3*v + 8*v = 0. Let u = -106 + 105.6. Which is the closest to 1? (a) v (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437574 less than -437594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -320*l - 7687. Determine f(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 6, 11, -4.2 in descending order.\nAnswer: 20, 11, 6, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 22721364.5 to the nearest 10000.\nAnswer: 22720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (883 - 7)*4\/(-6). Let d = 994 + y. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2043, -17, 41, -2 in descending order.\nAnswer: 41, 2, -2, -17, -2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, -26, -5 in ascending order.\nAnswer: -26, -5, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435887968.\nAnswer: 2, 19, 137, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -0.00132.\nAnswer: -0.03036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501 = -28*h + 4245. What is the remainder when h is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (40 - -42 - 64)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-18) - 139\/(-2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3012?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**3 + 667*n**2 - 457*n - 227. Let j(r) = -117*r**3 - 8670*r**2 + 5943*r + 2952. Let o(i) = 27*g(i) + 2*j(i). Factor o(d).\nAnswer: 3*(d - 1)*(d + 75)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 247\/523?\nAnswer: 247\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*k + 25, 10*k + 88*f + 45 = -2*k + 91*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + ((-594)\/(-324))\/(2\/3). What is the fifth smallest value in 1\/5, -2, -11\/16, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72)*8)\/((-15)\/(3105\/46))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-30)\/(-3)*(-6)\/405.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 15. Let y = -97 - -93. Let t be q(y). Which is greater: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 80*b + 713. Let n(o) = -o**3 - 6*o**2 + 16*o + 15. What is n(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 443, 371, 287, 185, 59, -97?\n\"Answer: -r**3 - 65*r + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88702844 a multiple of 2790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 76 = -x. Let u = x + 84. Suppose 5*h - u = -m, -5*m - 25 = 2*h - 4*h. What is the least common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6286539 is divided by 804?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0265 times -473\nAnswer: -12.5345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -5560 (c) 0.0655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 71 + 1 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -36. Suppose 10*y - 6*y - 100 = 0. Let k = y + -21. Calculate the highest common divisor of o and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = y + 6, 3*y - 4*i = 25 - 30. Which is the third smallest value? (a) -4\/5 (b) 3\/146 (c) y (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337748147 divided by -388663.\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39229632 divided by 52.\nAnswer: -754416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 3*l**3 - 3*l**4 - 2*l + 2*l + l**4 + l**4 - 2*l**4 + 10*l**4 + (2*l + l**2 - 2*l)*(-3*l**2 + 6*l**2 - l**2).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a4 + 5?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffl when four letters picked without replacement from flfppplpfp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*w - 26, -4*w + p + 145 = 163 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127923622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 1, e: 1, r: 9}. Give prob of sequence krez.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 0. Suppose -5*o - 125 + 746 = c*v, 0 = -3*v + 9. Calculate the greatest common factor of 82 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94932832 is divided by 618?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:59 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -1646.\nAnswer: 1646.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 10*p**2 + 12*p - 10. Let s be n(6). Let k(m) = 3*m + 28. Let t be k(s). What is the units digit of (-2 + t + 2)\/(6\/(-69))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 4*p + 4*p)*(6 - 1 - 4)*(0 + 2*p**2 + 0) + (-3 + p**2 + 3)*(-p + 2*p + p) to d*p + o + g*p**3 + c*p**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -810 - 17706*o + 24 + 17708*o + (-o + 2*o + 0*o)*(-2 + 2 + 2).\nAnswer: 4*o - 786","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -n + 2*n. Let j = 31 + -11. Calculate the least common multiple of j and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 73527879.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1 + (19 - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 5236?\nAnswer: -5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*n**5 + 5*n**3*y + 186*n**3 - 3351101*n*y wrt n.\nAnswer: 740*n**3 + 30*n*y + 1116*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from kkkkkkkrmkkmrmk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7154 = 15*o - 29*o. Let f = 210 + o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xct when three letters picked without replacement from {t: 6, i: 1, c: 5, x: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*t + 36*t**3 + 36*t**2 + 73*t - 36*t wrt t?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9*o. Suppose o = -j + 4*y + 24, 3*j + y - 18 = 15. What is the remainder when (-3)\/(-3)*(25 - 2) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from bxbxbbhddxxbbhhbxhh?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 37 = f, -6*d + 47 = -d + f. Let k(s) = 33*s - 23. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7129*x**2 + 7131*x**2 - 21386*x**2 + 7125*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 - c**2 + 2*c + 6. Let p(y) = -11*y**3 + 3*y**2 - 5*y - 12. Suppose -26*u - 711 = -581. What is u*d(x) - 2*p(x)?\nAnswer: -3*x**3 - x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -1\/108*x**4 + 0*x**5 + 0*x + 0*x**3 + 1\/540*x**6 + 0 - 2*x**2. Solve f(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21065015*w + w**2 + 853 - w**4 + 21065018*w + 0*w**2 as n*w**4 + h*w**2 + l*w + g + o*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**4 + 6*c**4 - c**4 + (-3*c**2 + 2*c**2 + 0*c**2)*(-c**2 + 2*c**2 - 4*c**2) - 2*c**4 - 4*c - 3*c**4 + 3*c.\nAnswer: 12*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(2*sqrt(6)))\/(sqrt(96)\/sqrt(72)) + (-3 + sqrt(48) - (5*sqrt(9)\/sqrt(3) + sqrt(3))).\nAnswer: -3 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let p(c) = -c**2 - 5*c - 4. Let w(v) = -v**3 - 20*v**2 + 5. What is the remainder when w(-20) is divided by p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23902899331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8726)\/3)\/(14\/(-21)). Suppose 0 = 4*k - 5*f - 3163, -5*k = -4*f - j + 416. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 7 = 4*a. Let t be 4\/(-6) - a\/24. Let h(s) = -13*s - 2. Let n be h(t). Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2719208, -2719265, -2719360, -2719493, -2719664, -2719873, -2720120?\nAnswer: -2720405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**8\/9240 + b**7\/1540 - b**6\/990 - 11*b**3\/3 + b. Let j(h) be the second derivative of g(h). Let j(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1536 by -256.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 36. Suppose -14 = -b*n + 2*p, -4*n - 8*p + 28 = -4*p. Let t be 15\/45 - (-8)\/3. Put t, -5, n in decreasing order.\nAnswer: n, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*g + 5 = 0, 4*g + 0*g + 4 = 0. Calculate the highest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*s + 67. Let b = 1 + -10. What is the lowest common multiple of s and ((-6)\/b)\/(2\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:50 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*x + 1772, -4*s + 2673 - 901 = 2*x. List the prime factors of x.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -14.1.\nAnswer: -21.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 1017*m + 2046.\nAnswer: -3*(m - 2)*(m + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1679369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/9 (b) -29 (c) -322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b)\/(b*b*b**(-25)))**(-2\/21) assuming b is positive.\nAnswer: b**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.92 - -0.08. Let d = 2.668852 - -0.33118. Let o = u - d. What is o rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 58408 + 35336. Let p(g) = o - 13392 - 5*g. What is p(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + l**2\/2 + 3*l - 2. Let a be j(0). Suppose -3*v - 2*i - a*i = -13, 3*v - 2*i = 20. Solve v - 16 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21\/4, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -6264798 and -6264800 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 495075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68842858 a multiple of 917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 13*b**2 + 4. Let l be m(13). Find the second derivative of -21*y**4 - 4*y - l*y**3 - y**3 - 15*y**4 + 41*y**4 - 7 wrt y.\nAnswer: 60*y**2 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8679*u + 8679*u + 12121*u**2.\nAnswer: 12121*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65347, -65345, -65343?\n\"Answer: 2*b - 65349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at least as big as 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4047, -19055, -44081, -79125, -124187, -179267, -244365?\n\"Answer: -5009*b**2 + 19*b + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 525457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*q = -8*d + 8088, -5*q = -4*d + 8100. Round d to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 4*w + 24 = 20*f, -5*w = 5*f - 30 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/9 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 12*v. Suppose -q + 49 = 5*b, 4*b + 4*q = b + 26. What is x(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l + 12*l - 12*l + 8*l + 14*l to the form m*l + a and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*d - 540 - 621 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35833*n**4*q - 2*n**4 + n**2*q + 6766*n*q wrt n.\nAnswer: 429996*n**2*q - 24*n**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*o + 3 = -2*o, -108*y = -110*y - 4*o - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {s: 1, h: 2, u: 4, f: 5, r: 4}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18*n + 13*n + 103 = 0, -3*g - 95 = -n. Which is the second biggest value? (a) g (b) 3 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882885 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -270 + 243 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/4 (b) -603 (c) -2 (d) 1\/10 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -705478*m**3 - 3819 wrt m?\nAnswer: -2116434*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.045 - 10. Let g = 0.08 - o. Let a = -0.575 + g. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 18. Let x = -19 - w. Suppose -x*i + 93 = -2. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 0. Let n = 41.5 - 30. Let m = n - a. What is m rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43621, 87243, 130865?\nAnswer: 174487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skbdbkshdxbbxkhbb. What is prob of sequence sx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*g + 48, 3*l - 2*l = 2*g - 25. Let c(m) = -2*m**2 + 23*m - 3. Let y be c(g). Solve k - 15 = 3*b - 7*b, -2*b = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.4 (c) -201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82376569 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = -3*d, -2*v + 13 = -4*d + d. Suppose n - 4*q - 218 = 0, -v*n - 3*q = -3*n - 436. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + 1) - ((sqrt(11) + sqrt(99))*5)**2.\nAnswer: -4399 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let g be t(-1). Let q(i) = -2*i + 11. Let h be q(6). Suppose 8*y - 36 = 3*y - 4*j, 4*y + j - 20 = 0. Sort g, y, h in ascending order.\nAnswer: h, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49134558?\nAnswer: 2, 3, 11, 197, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6830808465.\nAnswer: 3, 5, 13, 19, 37, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987386.6cm to meters.\nAnswer: 9873.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h**2 + 4*h + 7. Let o be i(3). What is the greatest common factor of o and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6361 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**6*h)\/(h\/(h\/(h*h*h\/(h*h**(-2)\/h))*h)*h)*h\/(h\/h**(-7))*h*h\/(h\/(h*h*h\/(h**(1\/4)\/h)*h)))**(1\/73) assuming h is positive.\nAnswer: h**(-33\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454988 divided by -157?\nAnswer: -47484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v - v**3 + 9*v**2 + 0 + 0*v**4 - 7\/60*v**5. Let c(g) be the first derivative of r(g). Let t(m) = -m. Determine c(t(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7592 and 708976.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -77*q + 1787. Calculate the least common multiple of 1108 and b(23).\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - 24 - (134 + -123) - -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*s + 25*s + 10860388 + 5155128. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16759059 and -4.\nAnswer: -0.67036236","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgw when three letters picked without replacement from zwkkggggwwxx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, -106, 0.01423 in descending order.\nAnswer: 6\/17, 0.01423, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -28, -62, -98, -130, -152?\n\"Answer: r**3 - 10*r**2 - 3*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94 and 16.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*t = -8, 492 = t + 487 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1313039 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*r - 103*r + 33*r.\nAnswer: -193*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/3 + y. Let l(o) = -o. Let g(d) = 3*l(d) + t(d). Let c(m) = 3*m**2 - 3*m**2 - m**2. Calculate c(g(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:25 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 1055?\nAnswer: 30595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2964 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/475020 and -121\/6175260?\nAnswer: 6175260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 - 1330*w**3 - 788715*w**2 - 73050120*w - 212088240 = 0.\nAnswer: -156, -3, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 - 2000\/9. Let k = -14 - -14.04. Let m = k + 0.46. What is the nearest to l in -0.2, m, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(-52)\/39. Let d(s) = 4*s**2 - 7*s**y - 1 - s - 3 + s**2. Let l(f) = -4*f**2 - 3*f - 9. Give 5*d(m) - 2*l(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 192\/(-480) + (-44)\/(-10) - -1?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3456 and 60273536?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -0.1, 5, -8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/9))**(-2\/75)\/(r\/((r**(-2)\/r)\/r)*r*r*(r*r**(2\/21)*r*r)\/r) assuming r is positive.\nAnswer: r**(-43031\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 2*i + 2*i)*(2 - 10 - 5)*(27*i - 28*i + 7 + 36).\nAnswer: -26*i**2 + 1118*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*g - 24, 4*y + 3*g - 24 = g. Let c(v) be the first derivative of -v**2\/2 + 12*v - 1. What is the units digit of c(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + 324. Let u = j - 100. Let i = u + -172. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1280 - -906. Let i = -373.99999839 - u. What is i rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 7136?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(405) + -1) + -2*sqrt(405)*2 + (sqrt(30) + (2*sqrt(300))\/sqrt(10))\/(sqrt(30)\/sqrt(125)).\nAnswer: -39*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 19*w**2 + 10*w + 21. Is o(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-8)\/12*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 342, -24, 5, 61 in increasing order.\nAnswer: -24, 5, 61, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00326818249 to 5 decimal places.\nAnswer: 0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/2)*j\/(j\/(j**(-4\/3)\/j)*j)*(j**(-1\/5)\/j)**42)**(1\/12) assuming j is positive.\nAnswer: j**(-1627\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1445048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 4 + -17 + 20. Let b = 10 - u. Let c be 3*(-85)\/(-15) - b. Put -1, c, 2 in decreasing order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 229, 899, 2013, 3571, 5573, 8019, 10909?\n\"Answer: 222*u**2 + 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3 (c) -0.4 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11626216 is divided by 830438.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55889401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/12*-2 - 3. Solve 0 = 3*v - 0*v, z = 5*i + 5*v - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061779?\nAnswer: 1061779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 - 68*r + 68*r.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 8, 18 in descending order.\nAnswer: 74, 18, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l - 2511 + 8631. What is the highest common factor of l and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - -22. Let b = k - 36. Do b and -1\/69 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8\/b*b)\/(b\/b**(-3\/2))*b**(-8)\/b**(-5))\/((b*b**4*b)\/(b*b*b\/b**1*b*b*b)*b**(-1\/4)\/(b*b*b\/(b*b**(4\/5))*b)) assuming b is positive.\nAnswer: b**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-3 + 3 + sqrt(243) + sqrt(243)))**2 + (-6*(sqrt(243) - (sqrt(243) + 1)**2) + sqrt(243) - (0 + sqrt(243))*-2).\nAnswer: 81*sqrt(3) + 2437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66912508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.3456 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -0.118, 9\/4, 1, 2\/9 in decreasing order.\nAnswer: 3, 9\/4, 1, 2\/9, -0.118, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15089?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6089, 10372, 14675, 18998?\n\"Answer: 10*n**2 + 4253*n + 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3478.\nAnswer: -1\/1739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -36. Let y be -2 + (1 - (-10)\/l). Which is the closest to 1? (a) 3 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, 45, 1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -68, -105, -68, 67?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 6*a)*(0 - 2 + 2*a - 2).\nAnswer: -8*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - v**2 + 2*v - 2. Let j be y(1). Let d = 4.04 + -5.04. Which is the nearest to -1\/3? (a) j (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -3. Suppose -5*g + w + 14 = 0. Calculate the lowest common multiple of 10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2*21\/4. Suppose -5*c + d = 2*d + 23, 4*c + 22 = d. Let h = c - f. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 10196, -4, 3 in descending order.\nAnswer: 10196, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/4, -0.1, 0.1, 1\/5, 0.036504?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 59. Let y = o - 22.979. What is y rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 15. Let a be ((-15)\/9)\/(k\/45). Is 9 a factor of 30*((-18)\/a - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66894 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.58, 137.3 in decreasing order.\nAnswer: 137.3, 8, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-600 + 16*w + 600)*(31*w + 42 - 42).\nAnswer: 496*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1087*i**3*s**2 + 2*i**3*s + 3*i**3 + 2*i**2*s - 7087*i*s + 3*s**2 wrt i?\nAnswer: -6522*s**2 + 12*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 56*x + 379. Give j(43).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12246, -12315, -12384, -12453, -12522, -12591?\nAnswer: -12660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 43*y + 43. Let o(f) = -33*f - 47. Let u(r) = 3*i(r) + 4*o(r). Calculate u(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5860, 32937, 0 in increasing order.\nAnswer: 0, 5860, 32937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 - (-1 + 2))) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2. Let y(o) = -5*o. Let s(h) = -h. Let x(f) = 6*s(f) - y(f). Give q(x(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2029 - 2316. Let h = t - -3531. Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a = 77*a - 14. Let h(p) = -6*p - 98 - a*p + 96. Calculate h(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*-2)**2*-5 - (sqrt(1100) + 1 + 4 + sqrt(1100))**2) + 1 + (-1*(sqrt(1100) + -1)*6)**2*3.\nAnswer: -2360*sqrt(11) + 92484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 5*x. Suppose x = 6*z + 16 - 22. Let q = 4 + -8. Which is the third biggest value? (a) -0.1 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 852, 1870, 3254, 4986, 7048, 9422, 12090?\nAnswer: 15034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3338.\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -44, 0.2, 3, -12, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*x = -x - 590 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-94 - (-70 + 26)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v*v*v*v*v\/(v\/(v*v**(2\/17)))*v assuming v is positive.\nAnswer: v**(257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 1934*q**2 - 3*q + 5496*q**2.\nAnswer: 3562*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 10*b + 190. What is the remainder when 451 is divided by p(13)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-19) + 32\/(-7) + 2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*g**2 + 62*c**3*g*h + 4*c**2*h - 192*c*g**4 + g**3*h wrt g?\nAnswer: -2*c**3 - 2304*c*g**2 + 6*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/(-9) - 0)\/((-15)\/450)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:26 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*b - 1, 11*c + b - 55 = 6*c. Calculate the highest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2 - 7*c**2 + 1 + 5 + 18*c. Let v be j(-9). Suppose -v*g = -2*z + 166, -6*z + z + 401 = -3*g. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2\/13, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, 1\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 870*k*p**3 + 363*k*p wrt p?\nAnswer: 5220*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156782 - 317025. Let z = -62014240\/387 - x. Let s = z + 3\/43. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*m + 113 - 117, 2*f = -3*m + 48 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.081 and -73.56?\nAnswer: -2212.75836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = -2. Let i(h) = 1 - h**3 + h + 5*h**2 + 2*h**2 - 6*h**t + 0. Let g(b) = -4*b**3 + 4*b**2 + 3*b + 2. Determine -g(o) + 2*i(o).\nAnswer: 2*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/18 + 71\/126. Let x = -2.3 + 2. What is the closest to k in 0.2, 5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 + 3*l - 4. Let m(p) = 2*p**2 - p**2 + 5 + 0*p**2 - 5*p - p. Let g be m(4). What is y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -54\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (990\/25)\/(10\/25). Let z = -33 + t. List the prime factors of (z\/4*2)\/1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189693 (base 11) to base 6.\nAnswer: -10123054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 10, -0.8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 27*f - 27*f + 6*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(6)*-5*1)\/(3*(sqrt(6) + sqrt(54)) + (sqrt(6) - (sqrt(6) + sqrt(30)\/sqrt(5))*-2))*-3.\nAnswer: 15*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15348 - -15388. What is the closest to -1 in -6\/5, u, 0.03?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95986161*f**3 + 4*f - 573454265 wrt f?\nAnswer: 287958483*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -53 and -688\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**9\/272160 + z**8\/22680 + z**7\/5670 + 4*z**5\/15 + 21*z**2. Let l(y) be the third derivative of c(y). Factor l(g).\nAnswer: 2*g*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2827 in -0.12, 1, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 183*n**3 - n + 1369 wrt n?\nAnswer: -40*n**3 - 1098*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/(-15) + (-4)\/(-30). Suppose 4*p + u + 4 = 2*r, -3*r - 3*p = -3. Suppose 90 = 3*t - r*k, 2*t + 2*k - 57 = -7. Is 28 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - (-2)\/(-6). Suppose -b + 0*b - 1 = x. What is the closest to 0.1 in b, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-861)\/6 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r - 5. Let a(z) = 2*z**2 - 4*z - 2. Let i be a(r). Suppose 3*u + 3 = i*u. Solve 5 = 4*o - u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -230*m**7\/7 + 4*m**3\/3 - 68*m - 970. What is the third derivative of k(g) wrt g?\nAnswer: -27600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 110 = -5*p, -2*h + 14111 = -p + 14112 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-316)\/1106*(-1)\/4).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/48*(-2)\/(-6). Let i = 3.23 - 0.23. Sort 0.5, i, 1, u in decreasing order.\nAnswer: i, 1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 - t + 132. Does 22 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1. Let f(z) = 54*z + 182. Let n(r) = 2*f(r) - 18*u(r). Find the first derivative of n(x) wrt x.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - -2 - (3075 - 3063)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 11. Let u be g(-8). Let p = -74 - -54. Let c be 11\/(-4) + u\/p. Let z(k) = -k - 1. Calculate z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:58 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1084949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.034 times 5?\nAnswer: -5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -481, -1082, -1913, -2968?\nAnswer: -4241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 52.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(4 - 3 - 2*y + 7*y) as w + q*y and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * -2.39.\nAnswer: 305.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -403853 in 0.9, -11\/4, -0.5, 1, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -61, 4\/3, 5\/62, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*a**4 + 572*a**2 - 449*a + 5062 wrt a.\nAnswer: 540*a**2 + 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 107552?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 5153\/77482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*m = -40, -3*n - n + 241 = -m + 264 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 579762 + -605?\nAnswer: 579157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 13 - 2 + 59*l - 7 to j*l + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 39*o + 41. What is s(18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 1. Let d be h(1). Suppose t - 1 = d. Put t, 5, -3 in decreasing order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 34*n**2 - 59*n + 8. Give d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -338309.4 to the nearest 1000.\nAnswer: -338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - j + 2. Let y(f) = -6*f**3 + 6*f**2 + 7*f - 11. Let m(r) = -5*p(r) - y(r). What is m(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g - 1515. Give c(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-117)*(-17)\/(-510)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(26\/(-4))*(-6)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113\/936 - -1\/234. Let k = -0.38 + 0.08. What is the third biggest value in 2\/5, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -190, -216, -242, -268, -294?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/816 and -27\/88?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.3. Let b = 1 - z. Let q be 2\/3*(-15)\/20. Is b at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/36 + 19237\/(-63). Let v = 305 + y. Let f = -2795 - -2784. Sort 4, v, f in descending order.\nAnswer: 4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-22)*-20 + 5 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 30*h**3 + 4*h**2 - 4*h. Let m(s) = s**3 + s**2 - s. Give k(z) - 4*m(z).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/1188*-18)\/(1\/(-84)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 831639468.\nAnswer: 831639470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1380)\/207*16929\/855?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2. Let u(t) be the third derivative of t**5\/20 - 18*t**2. What is u(g(a))?\nAnswer: 75*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -71. Differentiate -230 + 91 - g*c + 109 wrt c.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1393 and 21.\nAnswer: -29253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-14)\/63. Let a = -0.019 + 0.019. What is the closest to a in 0, i, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 - 1 = c, 4*n - 46 = 2*c. Let o = 22 + c. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 16 + 42 = 0. Suppose -a*d + 144 = 4*k, k = 4*k + 4*d - 108. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 - 25*a - 25. Let q be x(-9). What is the units digit of (q - 4)*8\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (17 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 954, 0.08 in ascending order.\nAnswer: 0.08, 1, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-10 - -5) + -11 + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0*u + 2*u)*(0 + 1 + 1).\nAnswer: 4*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffuuufufuffffffffuf. Give prob of picking 3 f.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 2*q = 4437. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -109 (b) -2\/3 (c) 0.3 (d) 1\/3 (e) -2 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 137. What are the prime factors of o(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1.23, -0.5, 9, -2\/3, 0.107?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 13*h - 5. What is the remainder when 159 is divided by u(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4058 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 200 = -5*i, i = 5. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2, 5, -33, 78, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/9 + 32*z**2 - 634*z\/3 - 2192\/9 = 0. What is z?\nAnswer: -1, 8, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34466?\nAnswer: 2, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*y + 23, -3*k + 692 - 704 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 5*k - 9. Let n(d) = -d**2 - d + 1. Give -i(c) - 5*n(c).\nAnswer: c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (24*46\/(-1656))\/((-2)\/560841) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r\/(r\/r**8)))\/r)*r*r**(2\/13))**(6\/7) assuming r is positive.\nAnswer: r**(792\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93, 164, 235, 306?\n\"Answer: 71*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342\/21274097 + 4867664877963\/159598275694. Let s = -2\/3751 - k. Calculate the common denominator of s and 137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**7)**(-18)*(s**(-2)\/s)**(-23))**(-20) assuming s is positive.\nAnswer: s**(-3540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -35.59, 578, 0.04, 4, 2\/3 in decreasing order.\nAnswer: 578, 4, 2\/3, 0.04, -35.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -6)\/(-3 - 1186\/(-394)). Suppose 5*z = s + 53. Let c = z - 48. Calculate the highest common factor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 4:36 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(3\/(-870)))\/(13 - 12). Suppose -4*v + 2*v + 40 = 0. Calculate the remainder when -2 + (-28)\/(-16) + c\/8 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**3 - 2*d**2 - 2*d. Let p(u) = -13*u + 9. Let c(r) = -4*p(r) - 9*s(r). Let b(k) = 4*k**2. Determine b(c(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3340 - -6002. Let y = -4475 + r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -2 (c) 0.094 (d) -61 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1360\/1907 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -14*b**6\/3 + 4*b**5 + 9*b**4 - 20*b**3\/3 - 4*b**2 + 33. Solve y(n) = 0 for n.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose m + 24 = 5*q + g, q = -5*m + 25. Let y be (-10)\/(-6)*1 - 2. What is the second smallest value in m, y, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*sqrt(2299)*-3 + 0.\nAnswer: 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w. Let c(x) be the second derivative of x**6\/240 + x**4\/4 - 2*x. Let y(z) be the third derivative of c(z). Calculate -4*r(p) - 5*y(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrrhrhhhrrrh. Give prob of sequence rrhr.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 6) + 10\/420*102. What is the nearest to 0 in 17, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-10)\/6)\/((-10)\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.897 - 2.997. Is 0.054 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9255*v + 10 = 9257*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1253 + 1806. Suppose 153 = -4*q + r. Suppose 3*d + d = q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 5*r + 6. Let v(c) = 3*c**2 - 5*c + 7. Let y(h) = 4*f(h) - 3*v(h). Let q be y(-6). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101000010 + 10?\nAnswer: -1110101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. What is the units digit of (4\/6)\/(t\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9263431*c + 46317154. What is t(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16657650 rounded to the nearest 10000?\nAnswer: -16660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*h + 23*h - 57*h)*(4*h - 3*h - 2*h) + (2*h + h - h)*(2*h - 2*h - 2*h) - 2*h**2 + 0*h**2 + 4*h**2 to the form g + w*h + v*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*o - 12120 = 717 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178837369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*r**2 + 39*r**3 + 128*r**2.\nAnswer: 39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(75)*2 + sqrt(3)))\/(sqrt(256) - (sqrt(256) + ((sqrt(256) - (-2*sqrt(256) + sqrt(256))) + sqrt(256))*-1)))**2.\nAnswer: 1\/23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-12))\/(1*1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 2. Let k(q) = w*q**2 - q**2 + 3*q**2. Let a(d) = -d**2. What is a(k(j))?\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1267*q - 1265*q - 4*c + 24, -3*c = 31*q + 177 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563 - 272. Let u = -290 + g. Which is the closest to -1? (a) u (b) 6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388150408 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554 by -4.\nAnswer: -777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 39 = -j, -2*h - 4*j + 3 = 9. Let c(w) = -w + 3. Is 12 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 1 + 6*x + x)*(4 + 0 - 3) in the form c + q*x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 0.01. Suppose -5*a + a - 232 = 0. Let g = -288\/5 - a. What is the closest to -0.1 in 2\/7, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + 46. Let b = -1327356711.9999937 + 1327356633. Let r = g + b. What is r rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 691, 1023, 1347, 1657?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 smaller than -201\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**8\/13440 - u**7\/720 + u**6\/180 + u**5\/15 - 7*u**4\/6 + 24*u**2. Let d(s) be the second derivative of o(s). Solve d(j) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 377 - 377 - 52*j**4 + (4*j**3 + j**3 - 4*j**3)*(0 - 2*j + 0) + (2*j - 3*j - 4*j)*(2*j**3 - 3 + 3).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155437\/9 - -17271. What is the closest to 1\/5 in -0.6, 0.4, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 106 = -28*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -536, -1069, -1598, -2123, -2644, -3161?\n\"Answer: 2*j**2 - 539*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77407.0999906 + 77407.2. Let l = a + -0.1. Round l to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - 0 - -1) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - 4*u - 6. Let l be g(5). Let q = -1.961 + -0.039. Which is the nearest to l? (a) q (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/630 + 50\/(-126)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.79 - -9.9. Which is the biggest value? (a) -0.5 (b) -1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let z(d) = -15*d + 100. Let y be z(4). Find the second derivative of -14*u**5 - y*u**j + 40*u**2 + 10*u wrt u.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*r - 16, -2 = j - r - 5. Suppose -j*b + 2*b + 132 = 0. Suppose 4*l - 281 + b = -k, l - 409 = -2*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose -4*l - w = p, 0*p - 20 = -4*p. Are -0.008 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -4\/3*v**4 + 2*v - 5 + 0*v**2 + 3\/5*v**5 + 2\/3*v**3. Factor k(b).\nAnswer: 4*b*(b - 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/42*51\/34.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-3)\/(-36)). Suppose -2*h - 9 = q*y - 3*y, -4*h = -4*y + 12. Let l be 1*(1 - 2)*h. Solve l = -0*i + 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + 19 + 38 - 30.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvsq when four letters picked without replacement from vzqvscg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -137 in -141, -3, 0, 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/7 + 79374*a**4\/7 + 9*a**3\/7 - 238128*a**2\/7 + 158748*a\/7 = 0. Calculate a.\nAnswer: -2, 0, 1, 26458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 - 5 = 0. Let m be (0\/1 - l)\/1. Let y be (-6 - -3)*m\/(-3). Which is smaller: y or -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 146*d**3 + 562*d**2 + 694*d + 276 = 0.\nAnswer: -69, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z = 162*z - 84838 - 56966. Let j be 2\/(-6) + (-111)\/(-9). What is the greatest common factor of z and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1044.6 - 1045. What is the third biggest value in 0.2, u, -5\/16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {j: 3, e: 4, k: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + 8*c**3\/3 - 5*c**2\/3 = 0. Calculate c.\nAnswer: 0, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.5, 8, -137, 0.1, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7178, -14285, -21392, -28499, -35606?\n\"Answer: -7107*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 19132*i**2 - 30124000*i - 15561760704.\nAnswer: -4*(i + 1239)*(i + 1772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2377, -4784, -7149, -9454, -11681, -13812?\nAnswer: -15829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baf when three letters picked without replacement from bbaaabxaaabfaaxbabba?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444325 - -3?\nAnswer: 444332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42059607, 42059623, 42059639, 42059655, 42059671?\nAnswer: 42059687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 278\/(-8) + 1\/(-4). Let h be (-270)\/w - (-4)\/14. Solve -4*k = -8 - h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 280, 288, 300, 316?\n\"Answer: 2*l**2 + 2*l + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 6*-2*sqrt(432) - sqrt(432))\/(-2*sqrt(150)*-6).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**8\/840 - i**7\/140 - i**4\/4 - 16*i. Let m(f) be the third derivative of u(f). What is the third derivative of m(d) wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 4508.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/(s\/((s*s**(1\/3))\/s*s)*s))))**(-35)\/(s**(2\/3))**(-3\/2) assuming s is positive.\nAnswer: s**(-137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 3\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/18)\/(5\/(-390)))\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + 0 + (-239)\/((-7789488)\/(-260960)).\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.833 minutes in nanoseconds?\nAnswer: 4189980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 5. Let s(k) = -4*k - 8. Let h(l) = 3*r(l) + 2*s(l). Let t(i) = -6*i + 11 - 4*i - 2*i. Determine 22*h(p) + 2*t(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*b + 5*p, b - 26 + 17 = -p. Calculate the greatest common divisor of b and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 114*q**3 + 4101*q**2\/4 + 9093*q\/4 - 15 = 0.\nAnswer: -5, -4, 1\/152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquuxuquxqqqmxxqux. What is prob of picking 2 u and 1 x?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqv when four letters picked without replacement from vqqqvvqqqqqvvqqvqqq.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 1. Let w(v) = 10*v**2 + v - 5. Determine 5*c(f) + w(f).\nAnswer: 5*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 0*6\/(-18). What is the tens digit of (p + 52\/8)*274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 4*r - 4. Give n(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g = 20. Which is smaller: g or -9\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*o - 46 + 37, 0 = 5*k - 3*o + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15.41982 millimeters?\nAnswer: 15419.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/3 - 16*t + 80\/3.\nAnswer: 4*(t - 10)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:27 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 14)\/(2\/(-4)). Solve -r*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**3 + 5*m**2 + 6. Let x(r) be the first derivative of r**4\/4 - r**3\/3 - r + 4. Let z(q) = v(q) + 6*x(q). Find the third derivative of z(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 4*p. Let v(m) be the first derivative of -4 + p*m**2 + 0*m - 2\/5*m**5 + 2\/3*m**3 + 0*m**4. Factor v(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/60*(-1)\/((-2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 120?\nAnswer: -119.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**4\/22 - 8*r**3\/11 - 87*r**2\/11 - 144*r\/11 + 150. Determine o so that h(o) = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157*d**2 + 260*d**2 - 990*d - 9*d**3 + 100*d**2 + 507*d**2 + 467*d**2.\nAnswer: -3*d*(d - 165)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 - 25*y - 25. Let p be k(-7). Suppose 250 = -p*u + 823. What are the prime factors of u?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4475922 and 3762?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -13534324?\nAnswer: -13534327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(294\/63*(-2)\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**3 + 0*w**3 + 16*w**3 - 2*w - 2*w**3 - 6*w**3 - 4 - 18*w**2 to n + f*w**2 + z*w + a*w**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/13 + (24599997 - -2). Suppose 2*c + c = -t. What is c rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 295*g**3 + 2*g**2 - 6*g + 269*g**3 + 3*g**2 in the form y*g + n*g**3 + r + m*g**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1268091 < -1268086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2335*z**3 - 2339*z**3 + 36*z**2 + 4671*z**3 + 2*z.\nAnswer: -3*z**3 + 36*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 - 40*n**2 - 172*n**3 + 13*n**2 + 9*n**2 + 4*n**2 to the form f*n**2 + m*n**3 + a + x*n and give m.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 6\/11, -72056, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let s = -26\/649 - -831\/4543. Sort -27, s, r in ascending order.\nAnswer: -27, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87705 divided by -17541?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-34 + 9 + -4). Let h*k + 45\/2*k**2 + 1\/4*k**4 + 17\/4*k**3 - 54 = 0. Calculate k.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 5*j + 1. Determine o(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (17 + -46 - -22 - 15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m + 15 + 1\/3*m**3 + 1\/2*m**2. Let b(l) = l**2 + l - 1. Suppose -3*n = -0*n - 3. Determine n*b(i) - 2*q(i).\nAnswer: -i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65121 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(28) - (sqrt(28) + 0 + 5))*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9102895?\nAnswer: 5, 1820579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408922?\nAnswer: 2, 204461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1910*h - 762. Let i be g(5). Round i to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004879126 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222075.1 - 222074.9759949. Let v = -0.124 + b. What is v rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {k: 8, m: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828972911?\nAnswer: 13, 63767147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 350004423 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 129*q**2 + 3*q - 894. What is o(129)?\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**6\/240 + 3*g**5\/80 + g**4\/8 - g**3\/2 - 2*g**2. Let f(s) be the first derivative of l(s). Let f(q) = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 18*x + 2. Let y(m) = -m**2 - 5*m + 6. Let d be y(-8). Let c be z(d). Is -14 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (-6898)\/(-5) - 6\/10.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55907\/20 + -2797. Let x be ((-18803)\/15)\/((-3380)\/(-30)). Let b = 72\/169 + x. What is the common denominator of b and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81, -164, -247, -330, -413, -496?\n\"Answer: -83*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626974855 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 52*o - 419. Determine f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50493361 is divided by 9461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/4 + 1909*j\/2 + 67947\/4.\nAnswer: -(j - 781)*(5*j + 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23*z + 106. Let m be w(2). What is the derivative of 53 - 32 - 53*p - m - 27 wrt p?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109437.\nAnswer: 3, 36479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a**4 + 0)*(2*a + 3 - 3 + (36 - 135*a - 36)*(-2 + 1 - 1)).\nAnswer: 544*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**22*(x**(1\/2)\/x)**(-44) assuming x is positive.\nAnswer: x**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 25 = 4*h, n + h = 10 - 0. Solve n*i - 8 = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from aaaoaaoaaoaoaooaoaoe?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 15*x**2 - 17*x - 8. Let b be j(-16). Solve -5*w + b*w + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*3\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + -20. Let t = 154 + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 594989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 2, r: 1, g: 6, z: 4}. What is prob of sequence gz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*i - 5*t, -28075*i - 2*t - 2 = -28073*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 62*w + 3407. What is f(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 2*w**2 - 2 + 6 - 1. Let t(a) = a**3 - a**2 + a - 1. Let f(i) = -4*t(i) - u(i). Let l be f(-1). Solve -2*r + m - 2 = 3*m, 3*m = -l*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -54. What is the third derivative of 3*r**3 - 9*r**3 - 37*r**3 + 70*r**k wrt r?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 + 21*t**2 + 4*t - 470. Is l(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3553115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1369192803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + 5. Let w be c(-5). Suppose 3*i - 60 = 3*r, w*r + i + 70 = -0*i. Let d = r + 43. Solve -d = -5*g - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:56 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -m, 5194 - 5182 = 3*u - 3*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -490504 take away 68291.7?\nAnswer: -558795.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4752 and 189552.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.498339 millennia?\nAnswer: 5498.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -110. Calculate the least common multiple of y and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (3 - 8 - -3). Let l(w) = 4247*w + 2. Is l(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*h + 800 = 17*h + 305*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t - 7*t - 6 + 2*t + 0 to o + v*t and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -70. Let r(s) = 5*s - 4 + 0 + 0*s**2 + h - 2*s**2. Let p(b) = -2*b**2 + 4*b + 5. Suppose 0*f - 5*f = 20. Give f*p(l) + 3*r(l).\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**10\/1260 - g**6\/360 - g**3\/3 - 3. Let m(z) be the third derivative of w(z). What is the third derivative of m(k) wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003640011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425128 divided by -856282?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 852.3705 years?\nAnswer: 0.8523705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 407*x**2 - 824*x**2 - 1072*x**3 + 419*x**2 in the form p + u*x**2 + m*x**3 + f*x and give m.\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(25172\/1302)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240\/(-465)*(-41589)\/3.\nAnswer: 2, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 18*u + 27. Let i be a(-16). Let j(w) = -w. Let b(r) = -7*r - 1. What is i*j(f) + b(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -138390 divided by 7\nAnswer: -19770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/12 - 2\/(-6). Let v be (-2)\/(4\/30*z). Find the third derivative of -v*m**3 + 3*m**3 - 2*m**2 + m**3 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30.2, -3, -39, 2, 0, -4\/15, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t = 0. Suppose -d + 25 + 40 = t. Is d\/4 + (-5)\/20 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*(k*k*k*k\/k**(-6\/13))\/k)\/k)\/k*k)**(-2\/81) assuming k is positive.\nAnswer: k**(-116\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-2*sqrt(539)).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/12 + (-4)\/(-3). Let x = g + 11. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17033178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + l - 4*l = -38, 2*j = -l + 18. Let g(s) = -4*s**3 + 9*s**2 + 11*s + 3*s**3 + 1 - 2*s**2. What is the tens digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -d - 2*v, -5*v + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698298*d - 262626*d + 180844*d.\nAnswer: -780080*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in -109, 0, -4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*i**4 - 68*i**3 + 2*i + 134727.\nAnswer: 1004*i**3 - 204*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Let y be s(8). Let w be y - (4 + (2 - 4)). Suppose -220 = -0*i - w*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -189, -197?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 516.7079437 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422409 and 97479.\nAnswer: 1267227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -60, 127, 3, -2, -5 in increasing order.\nAnswer: -60, -5, -2, -1, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5903 - 480 = 4*s + 3*h, -3*s - h + 4061 = 0. Calculate the greatest common factor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3 - 2\/7*b**7 + 0*b**4 + 0*b**2 + 0*b**6 + 8 + 0*b**5 + 0*b. Find the third derivative of g(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/4, -86, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2887, 2890, 2895, 2902, 2911?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123002022230 (base 4) in base 5?\nAnswer: -3303234024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + 9*d - 8. Let h be f(6). Let k(i) = -i**3 + 5*i**2 + 4*i + 12. Let l be k(6). Solve h = -2*x - l*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/9 + 8*z**3\/9 + z**2 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 5) to base 13.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1166526 - 1716526. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26607 + 26607 - y**3 - y**3 + 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/3 + -7\/6. Let a(c) be the second derivative of -1\/15*c**6 - 3*c + 0*c**4 + 0*c**2 + 0 + 0*c**5 + n*c**3. What is the second derivative of a(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272*q*y**5 - 3*q + 46*y - 5 wrt y?\nAnswer: 5440*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 - 16 = 0. Let s = h - 3. Let r(v) = -2*v + 4. Calculate r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17513765 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: Evaluate (1*-1*2\/(-6))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/6 - 19*o**2\/6 - 71*o\/6 + 91\/6 = 0.\nAnswer: -13, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + b**2 - 5*b**2)*(18*b**3 - 845*b**2 + 845*b**2).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d**(-3)*d)))\/d*d)**(1\/56))**(-13\/5) assuming d is positive.\nAnswer: d**(39\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(13 + -93). Let q be (16 - 1)*12\/r. Factor -q*f**3 - 1\/2*f + 0 + 2*f**4 + 3*f**2.\nAnswer: f*(f - 1)**2*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 36, -3, 5, -2\/9, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/14)\/i)\/i**(-9))\/((i**(-1\/4)\/i)\/i**(-2\/29)))**(7\/6))**(-40) assuming i is positive.\nAnswer: i**(-36985\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2 - 18. Let x(f) = 4 + f**2 + 3*f - k*f - 1. Let l be x(0). Solve q + l*a = -9, 0 = 2*q - 2*a + 4*a + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/127 (b) -2\/3 (c) 3 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154227.\nAnswer: 3, 101, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 1372343139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5060 = 5*v, 0*b + 4*b + 4080 = 4*v. Suppose 7*n - v = 1701. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let j(k) be the second derivative of k**4\/12 - k**3\/2 + k**2\/2 + 2*k. Let y(a) = -a. Let i(x) = z*j(x) + 10*y(x). Let i(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 77\/5)*(-29 - (-3180)\/120). Suppose 3*x + 12 = 0, -c - c - x = 2. Sort -5, h, c in decreasing order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - -15) + -60 + 64?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145058358589.45 less than 0.1?\nAnswer: -145058358589.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((-5*s**3 - 21 + 21)*(-3*s**2 + 3*s**2 - 2*s**2) + 2*s - 2*s + 2*s**5).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39d3 + 8?\nAnswer: 39db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*r - 580 = -2*s, -4*s + 2*r + 470 = 0. Suppose 3*n - 32 + 23 = 0. Suppose -n*o - 3*z = -s, -5*z - 165 = -o - 3*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 16. Suppose -a - 2*h = -2 - 1, 23 = -4*a - h. Let u be q(a). Let g = u - -31. Is g a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*19864\nAnswer: 4171.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (0 + -660)*154\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(15\/(-9)))\/1. Let p be (-2)\/x + (-96)\/(-108). Factor 2\/3*v - p*v**2 - 4\/9.\nAnswer: -2*(v - 2)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-558)\/(-63))\/(12\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297 (base 13) to base 5.\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -58*b + 1. Let s be q(-7). Suppose -3*y - c + 858 = 0, 4*c = -2*y + 651 - 89. Let x = s - y. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2*k**3 - k**2 + k - 6. Let c be a(1). Let w(y) = y**3 - 6*y**2 + 5*y. Let t be w(c). Solve t = z - 1 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 705 + 3333?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 6*u + 2. Let a be h(3). Let w = 43 - a. Let l = -0.3 + 0.2. Is l smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -5*f - 48, -5*m - f = -52. Solve -210 = 19*q + m*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203853 divided by 67951.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 - 2*z - 1. Let i(r) = -18*r**2 - 7*r - 4. Calculate 2*i(o) - 7*k(o).\nAnswer: 6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxjjjjj. Give prob of sequence xjx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 - -1) + (-10321176)\/(-108592)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1692 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -698*d + 28. What is the hundreds digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -1888*p + 1937*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1193 - -1697. Is (6\/4)\/(6\/v) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 4*y**2 + 6*y - 5. Determine t(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3357*l + 12636 = 3708*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -1. Let m be ((-17)\/12 + 1)\/((-65)\/26). What is the third biggest value in y, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 64 = -206. What is the greatest common factor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2442)\/(-21) - (-8)\/(-28). Suppose -d = -4*k + 4*x + 248, 3*k = x + 267. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*j**2 - 1 - 257*j**2 + 129*j**2.\nAnswer: -5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4991180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o + 15 = -65*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 42*b**2 - 17*b - 1. Suppose -42 = -4*d + 10*p - 8*p, 72 = 4*d + 4*p. What is the tens digit of q(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 39*u**2 + 189*u - 19. Let h(l) = 4*l**2 + 4*l + 3. What is the remainder when o(8) is divided by h(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*u**2 - 13 - 26 - 74*u**2 - 3)*(6*u**3 - 2*u**3 + 3*u**3).\nAnswer: -35*u**5 - 294*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83483, 83484, 83485, 83486?\n\"Answer: z + 83482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4874061335756 + -4?\nAnswer: -4874061335760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1021111 (base 3) to base 4\nAnswer: 32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/5 + 29\/15. Let j = -1.9 + 3. Let i = 1.9 + j. Which is the nearest to v? (a) i (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424 is divided by 844.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 652*n**2 + 3*n + 142. Is s(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:50 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**2 + 8*u. Let y(m) = 45*m - 2. Let w(q) = -338*q + 15. Let i(d) = 2*w(d) + 15*y(d). What is i(b(j))?\nAnswer: -17*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*y**2 - 278*y**2 - 3*y**3 + 565*y**2 - 66*y**3.\nAnswer: -69*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*t - t - 16, -21 = -3*k - 4*t. Suppose l = -4*l + 605. Calculate the highest common factor of k and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-7) - 17\/((-68)\/16). Which is the fourth smallest value? (a) -0.4 (b) h (c) 1\/2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 430*b**5\/7 + 2564*b**4\/7 - 3536*b**3\/7 - 2452*b**2\/7 + 3106*b\/7 - 16 = 0.\nAnswer: -7, -1, 8\/215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -y - 5, 0 = 5*b + y - 25. Sort 50, -4, b, 4 in decreasing order.\nAnswer: 50, b, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2336 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/114 and (45\/98496*-4)\/(6*2\/16).\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 596?\nAnswer: 1311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -943, -1421, -1899, -2371, -2831, -3273, -3691?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60311 is divided by 107?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1239387606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 44 + 19 = -7*n, -4*n - 10 = -t - 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 110905234\/(-19309708) + (-2 - -8). Let x = 3\/11861 + t. What is the common denominator of (-2)\/(-10) + (-21)\/12 and x?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(2\/7)\/r)))\/r**(-1\/2))**(-44)*(r**(2\/15)*r**(-5\/3))\/((r\/(r\/(r*r\/(r**(2\/7)\/r*r)*r)))\/((r*(r**(1\/15)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-4279\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250276650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soosxxlloxsolfooufx. What is prob of picking 1 l and 1 u?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/20 + (99*(-1)\/(-10) - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 17 = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7218 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {a: 3, u: 2, r: 2, q: 8}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24430001 (base 7) to base 3.\nAnswer: -11010101000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3702477 - 993462 = 3*g - 5*d, 4*g + 4*d - 3611988 = 0. Round g to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -317055 and -317055 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 11*g, 118*g - 116*g = 2*c + 40 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -340863859*w**2. Let t(j) = -2*j**2. What is t(g(p))?\nAnswer: -232376340744743762*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/567 and 31\/441.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -13, -34, -63?\n\"Answer: -4*i**2 - i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 2309911?\nAnswer: -28\/2309911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + -2 + sqrt(9)\/sqrt(3)*-4 + sqrt(3))*-2*-1.\nAnswer: -4*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*a + 149 = 2*o, -140 = -4*o - 2*a. Let k be (-11)\/(3*(-1)\/6). What is the highest common divisor of k and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3770489 + -1682.\nAnswer: 3768807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 200*o**3 - 412055*o**2 + 113290*o + 20600 = 0.\nAnswer: -1\/8, 2\/5, 2060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 22 - 3)*(2 - 4 - 3 + i).\nAnswer: 20*i - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p - 5. Let w(g) = -84*g + 21. Determine 21*i(u) + 5*w(u).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161089.\nAnswer: 41, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:33 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**17\/((j*j*j\/(j*j**(-1\/7))*j*j)\/j**(-4)) assuming j is positive.\nAnswer: j**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.3, 2, -6.2, -0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-39)\/182).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-3))\/(2\/54). Let g be v\/50 + (4\/(-10))\/(-2). Suppose g*u - 4 = 3*u. Which is the closest to -2\/3? (a) u (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w)**(-12)*(w**(-7))**(1\/15) assuming w is positive.\nAnswer: w**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -258, -1931, -3604, -5277, -6950, -8623?\n\"Answer: -1673*l + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96837676 by -48418838.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 886, -3, -4, 5, 35, -10 in descending order.\nAnswer: 886, 35, 5, 3, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -57. Let o = 48 - 34. Calculate the greatest common factor of o and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 12*d**2 - 13*d - 5. Give g(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5690513, -11381027, -17071541, -22762055, -28452569?\nAnswer: -34143083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11012 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69204 divided by -6.\nAnswer: 11534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607337 is divided by 241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 20 + 20 + (-6 + a + 6)*(-2 - 2 + 2))*(3*a - 2*a - 2 - 4*a).\nAnswer: -9*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 3*t**2 - 4*t - 1. Let q be v(-4). What is the tens digit of (0 - q)\/((-2)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, 83, -53 in increasing order.\nAnswer: -53, 0, 1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525*h - 2*m = -2523*h - 7*m + 49, 13 - 77 = -4*h - 8*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 1189190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 42, -2\/7, -2\/5, -2, -3\/2 in descending order.\nAnswer: 42, 4\/3, -2\/7, -2\/5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -r + 46, 0*r = -4*b + 2*r + 154. Suppose -4*l + n = -b, -3*n + n = -6. Solve 0 = -3*w - 4 - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((x\/(x**(2\/3)\/x)*x)\/x)\/x)\/x)**45)**(1\/16))**(-3\/37))**(2\/65) assuming x is positive.\nAnswer: x**(9\/1924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/30 and 62\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -864676, -864683, -864696, -864715, -864740, -864771?\n\"Answer: -3*x**2 + 2*x - 864675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 - 62*o**2 + 31*o - 16. Let u be z(-16). Solve -r = g, -9*r + 5*r - g - 3 = u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32973699.77 rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k. Let s = 2 - 0. Let a = k + s. Solve -a*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14619, 14655, 14705, 14775, 14871?\n\"Answer: c**3 + c**2 + 26*c + 14591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14548.926 minutes to hours.\nAnswer: 242.4821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 4 - 1\/2*a**2 + 0*a. Let f(p) = 14*p + 3320 - 3320. Give f(n(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 397 (b) 0.4 (c) -2 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17435151 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:59 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*i - 584*i - 50 + 1 + 258*i + 49.\nAnswer: -731*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)\/l*l**(-2\/5))\/(l**(-1))**(-9\/10) assuming l is positive.\nAnswer: l**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8615429 + 13216429. What is t rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wzfwwfzzwwzzfzfxzw?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-1340))\/((693\/(-210))\/(-33))?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41860 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5372 and 4330780?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -431412?\nAnswer: -431414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21527*a + 21532*a = -o + 10, 3*a = 5*o + 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7034415 and 55869.\nAnswer: 77378565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 17. Let w(k) = 18*k + 52. Let o(n) = 11*c(n) - 4*w(n). Let q be o(-5). Let v = 35\/4 - q. Is 35 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 59\/2. Let i be (-12)\/2*(-4)\/12. Which is greater: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6, -73 = 3*u - 4*m - 62 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from afnestat?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150224 is divided by 770.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -30. Let d = -5 + l. Let n = -0.01 - 0.39. What is the third smallest value in d, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 45 = 4*x. Let s = x + -13. Let o = s - -22. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, o: 1, j: 2, d: 1, b: 1}. What is prob of sequence odnr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -54. Let x(l) = 2*l**3 - 5*l**2 - 5*l + 10. What is the remainder when x(5) is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3855765949 rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5673383*r**2 - 2836697*r**2 - 2836688*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**3 + 3*b**2 + b + 1. Let u be i(-2). Let w = u - -2. Let p = -31 - w. Sort 0, 25, p in ascending order.\nAnswer: 0, p, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3185920*k**6 - 1984*k**2 - 19*k - 6 wrt k?\nAnswer: 382310400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 4*(sqrt(85)*1 + sqrt(85)) + (sqrt(85) - (sqrt(85)*-1*5 - sqrt(85))))\/(3*sqrt(35)\/sqrt(343)).\nAnswer: 112*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(3*(2*sqrt(110)*3 - sqrt(110))\/(sqrt(490)*-3)*6)**2.\nAnswer: -19849\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6352.3492 rounded to the nearest 10?\nAnswer: 6350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 - 304*j - 237 + 441.\nAnswer: -304*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6297 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342794 rounded to the nearest one thousand?\nAnswer: 343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 762745.783 rounded to the nearest ten thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345202642 by 172601321.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 10:01 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 238\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27250634 is divided by 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.06*-2.\nAnswer: -30.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111556801?\nAnswer: 173, 644837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1.51279822?\nAnswer: -1.51279822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + 5*h - 1. Determine r(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*z**5 - 1842*z**4 + 15*z**2 + 36622556*z wrt z.\nAnswer: -680*z**3 - 22104*z**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -5) + (6 - 7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -9, 0, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1327601 = 5*d, 4*m - 5300730 = 7*d + 9620. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -58*b - 201. Calculate the remainder when c(-5) is divided by 85.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 - 5.5. Let j = -1.7 - d. Put -0.4, 2\/19, j in descending order.\nAnswer: 2\/19, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5068777981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-408)\/(-16))*(-9)\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 - 10*h + 5*h**2 - 10*h + 13*h + 0. Let a(f) = 4*f**2 - 6*f - 1. Determine -7*a(n) + 6*l(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.8. Let l = 35\/246 - -1\/41. What is the second biggest value in l, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 2*q. Let x be (1*-3)\/q*2. What is the units digit of ((-7)\/x)\/((-5)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 139, 104, 49, -32, -145, -296, -491?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.00272?\nAnswer: -0.000816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 + 14*k + 10. Let i be y(-5). Suppose 0 = -0*d + 5*d - i. List the prime factors of d.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h + 12. Let r(k) = k. Let p(q) = -g(q) + 10*r(q). Let t be p(5). Is t at most -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(4))\/sqrt(12) + sqrt(3) + 5.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 589965 or 589968?\nAnswer: 589965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89472\/(-16776))\/((-16)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20583696, -41167391, -61751086, -82334781, -102918476, -123502171?\n\"Answer: -20583695*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2*c + 2*c)*(-1162*c + 1108 - 1108) to the form u + o*c**2 + h*c and give o.\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 3\/5, -0.6.\nAnswer: -7, -0.6, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1185 + p + 111*p**4 - p - 1095 wrt p?\nAnswer: 444*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + t. Let m be p(1). Let g = 10 - 1. Let f be 20\/6*g\/3. Solve 2*h + 5 = 2*o - 3, 5*h + m*o = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -393743 - -28743743\/73. Let t = g + -43439\/4526. Let i = t - -6\/31. Which is bigger: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104525 and 14125?\nAnswer: 522625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/701 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 979 or 2832?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 31. Let p(h) = h. What is z(p(x))?\nAnswer: 2*x**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*f + 445*f - 216*f + 15 = 4*r, 11*f = -r + 79 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/804 - 1226639\/8844. Let j = 78 + 62. Let s = j + d. What is the common denominator of s and 41\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let p = -135372 - -4737456\/35. Let b = -82\/5 - p. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**18)**(-1\/6)\/((((p*p**(-2\/7)\/p)\/p)\/p*p**(1\/4))\/(p**(-2\/5)\/p)**(-20\/9)) assuming p is positive.\nAnswer: p**(2053\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = x - 4*l - 9, -2*l = -5*x + 5. Let i(r) = -2*r**2 + 2*r + 5. Let m(v) = v**2 - v - 4. Give x*i(c) + 4*m(c).\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1307 - -1275.67. Let a = 2.07 - b. What is a rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -12337 in descending order.\nAnswer: -1, -4, -12337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 1, q: 1, m: 4, d: 1, v: 1, u: 8}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -43*t**7\/210 - 41*t**5\/30 + 74*t**2. What is the third derivative of h(y) wrt y?\nAnswer: -1032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(2\/9)*m*m)*m)**(-21))**(-4) assuming m is positive.\nAnswer: m**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 1485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -35 - (-41 - 3)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/5, 17, 0, 0.1, 9, -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53697731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**3 - 1\/300*g**5 + g**2 + 0*g + 0*g**4 - 3. Let q(b) be the second derivative of k(b). Factor q(y).\nAnswer: -y**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37272 and 31758.\nAnswer: 197280696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -91959, -2, 0, -3, -17 in decreasing order.\nAnswer: 0, -2, -3, -17, -91959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003586 less than -53006389?\nAnswer: -53006388.996414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.2 (c) -273469 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35781 is divided by 165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*w - 11, 23*w + 5*y = 20*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 68 = 12. Let z = x - 15. Suppose -6*b - z*g + 2115 = -2*b, -4*b + g = -2145. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-26)*(-2)\/(-1561). Let g = -2519\/313761 + c. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*38\/((-76)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36380?\nAnswer: 2, 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4637725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9622 less than or equal to 8349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from sssyssysssyyssys?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (43 + -41 - (2 - 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f + f. Let a be -7 - -4 - (f - -107). Is 2\/(-10) + a\/(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:46 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205819 is divided by 735272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 356857.\nAnswer: -1\/356857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/35 + 37\/70. Is -4 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o - 3 = -4*u, 4*o + 3*u = -21. Let w(j) be the first derivative of j**3\/3 + j**2 - j - 19. Give w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4428)\/820 + (-6)\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 2*t + 55. Let u be (-3)\/(((-1)\/1)\/1*t). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 bigger than 2417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 896687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963747.\nAnswer: 3, 17, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -965, -1008, -1065, -1124, -1173, -1200, -1193, -1140?\n\"Answer: 2*r**3 - 19*r**2 - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -196*a**4 - 12068*a**3 - 18608*a**2 - 7696*a - 960 = 0?\nAnswer: -60, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 230 + 1376. Let i = q + 2243. Suppose 3*b + 3*v = 1473, -2*b = -4*v - i + 115. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*-4 - sqrt(85))\/(sqrt(55)\/sqrt(11)*-4 + sqrt(5)).\nAnswer: -11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mumquuuqm. What is prob of picking 1 u and 3 m?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 12*x - 15. Let d be v(-13). Let n = 2611.6 - 2610.7. What is the third smallest value in n, -3\/2, 1\/8, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2.7 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 104*w + 3148. Determine n(45).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*q = -3 - 14, -2*q = -2*x + 42. Suppose 11*j = 40 - 81 + 41. Suppose -5*b + j*b = -x. Let y(o) = o + 6. What is y(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s - 18*s - 102*s.\nAnswer: -164*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 167780?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -744*p**2 + 2382*p + 771*p**2 - 2740 + 3268.\nAnswer: 3*(p + 88)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1371 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by -6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 86*o - 7029 = -2*y, 0 = -5*o - 3*y + 35166. List the prime factors of o.\nAnswer: 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 14*k**2 - k + 18. Let j be d(14). Let l = -4 + j. What is the smallest value in 5, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**4 + 4384189*c**3 + 6901894*c**2 - 13*c wrt c.\nAnswer: 336*c + 26305134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 27004098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - -53.88. Let l = -53.6 + u. Which is the nearest to -0.1? (a) 2\/3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*p = t - 404, -4*t - 2*p = 318. Calculate the common denominator of 18\/(-12) - 183\/t and 59\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/84 - 8\/(32\/(-15)). Let i = -0.07 - -0.57. Which is the nearest to -1? (a) h (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*y**3 - 44*y**2 - 14*y**4 + 13*y**4 + 43*y**2 to f*y + t*y**2 + u*y**4 + v*y**3 + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 plus 165?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:08 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/12*2*417\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46523, 46516, 46503, 46484, 46459, 46428, 46391?\nAnswer: 46348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*d**3 + 26360*d**2 - 10556*d + 1056.\nAnswer: 4*(d + 264)*(5*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 6*f - 1. Let z(q) = -q**2 + 1. Let s(u) = -c(u) + 4*z(u). Let i be s(6). Solve i*v = 25 - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 + -24) - (-9 + (-11 - -21))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k - 1. What is t(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. What is the first derivative of -1 + 1 + 1 + 4*n**2 - c wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lvliv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65439.837 seconds in hours?\nAnswer: 18.1777325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - w - 25, -20 = -2*u - 2*w. Let g = -7 - -10. Suppose -3*q + g = -0. Calculate the greatest common divisor of q and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -8 (b) -2 (c) 3\/8 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/21 - 1150*a**2\/21 + 67736*a\/21 + 205504\/7 = 0 for a.\nAnswer: -8, 76, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*s**3 + 0*s**2 + 0*s + 4\/7*s**4 + 2\/7*s**5 + 0.\nAnswer: 2*s**3*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 8 - (3 + 5) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 - 190. Suppose k*b - 1911 = 22*b. Is b a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -4 - (-30 + (1 - (-5 - 14 - -26)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1*8\/(-24)*-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:19 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjghifufjjgh. Give prob of picking 1 u, 1 i, and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l - 38*l + 4183 = -38*l + 38*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48256*j**2 + 96379*j**2 - 48124*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4387 + 4391. Solve -256*p = -255*p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d + 572 - 172. Calculate the remainder when 73 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76574, -157269, -237956, -318629, -399282?\n\"Answer: t**3 - 2*t**2 - 80696*t + 4123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25233 (base 6) in base 10?\nAnswer: 3765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 13*c - 9. Let h(r) = r**2 - 7*r + 5. Let p = 7 - 13. Calculate p*v(w) - 11*h(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k + 2. Let s be c(0). Suppose -84 = -2*r - s. Let f = r + -12. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 9*n + 19*n - 142875 = 0. List the prime factors of n.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6*f = -21. Let p be (f\/(-6))\/(1\/(-4)). Suppose p*n + 2*w = -2*n + 458, -580 = -5*n - 5*w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37373\/75 or 498?\nAnswer: 37373\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/125 - -69943\/250. Let n = 1219\/4 - u. Calculate the common denominator of -81\/26 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 295\/6 in 3, -3, 0.3, -4727?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7 and -1169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(sqrt(72)\/sqrt(9)))\/sqrt(7).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 26*w = 354. What are the prime factors of w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.09777 + 213.9042. Let y = 223 - k. Round y to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8766 + -8333. What is the remainder when b is divided by 427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g - 41. Let s be x(-2). Let p be ((-44)\/(-22))\/((-1)\/(-2)). Which is the closest to s? (a) 6 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/37474 and -11\/78147?\nAnswer: 6408054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 15*d + 29. Let n be m(-15). Solve 2*y = -2*y - 20, 3*f - n = 4*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1280 (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -1, -4\/11, 0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 10*v**3 + 16*v**2 - 8*v.\nAnswer: 2*v*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-11 + 11 - 5*u)*(573*u + 29*u**2 - 573*u).\nAnswer: -290*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3, -2*l - l + 2*g = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*s = -8, 0*o - 2*o - 8 = -5*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o*o**(22\/3)\/o*o*o**(-1)*o**5 assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011618897 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - q - 15 = 2*q, 20 = 3*z - 4*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -584971 > 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5711 and -195?\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*v + 61*v + 138. Let x = 63 - v. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 13 + -1 + 1 - ((226 - -261) + -451)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 2*l + 5. Let k be z(10). Let c = -47 + k. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78486000 divided by 2060\nAnswer: 38100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 171*j**3 + 1 - 7 - 170*j**3 + 16*j - 4*j**2. Let k be i(4). Suppose 37*o - 5 = k*o. Sort o, -9, 5 in descending order.\nAnswer: 5, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3508966 * -10\nAnswer: 35089660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22211121 (base 3) to base 8\nAnswer: -14452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*n + 15 = 0, -2*l - 5*n + 1 = -17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826, 3296, 7404, 13144, 20510, 29496?\nAnswer: 40096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h - 1. Let f be z(3). Suppose 3*v - f*j = 13, -v - 3*j = 3 - 0. Solve -n - 7 = -v*c, n - 13 = -4*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 - 6*x + 4. Let a(p) = -p**3 - p**2 - 1. Let k(h) = -2*a(h) - y(h). Suppose 0 = 4*w + u + 17, 6*w - 4*u = 11*w + 13. Give k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let j(f) = 4*f + 19*f**q - 7*f**2 - 13*f. Let t(w) = -6*w**2 + 5*w. Let i(s) = -5*j(s) - 9*t(s). Let o(u) = -2*u. Give o(i(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.09, -2 in decreasing order.\nAnswer: 0, -0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let w(p) be the second derivative of 0*p**2 - 2*p - 1\/4*p**4 + 0 + 0*p**3. What is w(h(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 36*h + 1. Let q(i) = i**2 - i - 1. Determine -q(f) + s(f).\nAnswer: -f**2 + 37*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**5*z + 29765*o**4*z - o**2*z + o**2 - 87*o + 10*z - 10 wrt o.\nAnswer: -300*o**2*z + 714360*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/3)\/x)*x)\/x)\/(x\/(x**(2\/11)*x))*x**(-6)\/x**(-3)*x**1*x*x**(-3)*x*x*x**(-3)*x**1*x assuming x is positive.\nAnswer: x**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - a + 0*a)*(-a - 2*a + a) + 2*a**2 + 0*a**2 - 3*a**2 + 4*a**2 - a**2 + a**2 + 3*a - a + 2*a**2 + 7*a as o + p*a + z*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73991678 a multiple of 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2)\/z))\/(z**(3\/10)*z))**20*((z**(-1\/2))**(-1\/17))**(-1\/21) assuming z is positive.\nAnswer: z**(38555\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-105)\/(-4). Let n = 45 - p. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19\/5 (b) 0.1 (c) 2\/11 (d) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 83\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = k - 24294. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or -606\/25?\nAnswer: -606\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2602100*o - 1601170 wrt o?\nAnswer: -2602100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 10973*m**3\/4 + 8241*m**2\/4 + 12349*m\/2 + 1372 = 0. Calculate m.\nAnswer: -2744, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8050545 and 141489?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (99\/(-96) - -1)*194 and (-1 - 1) + (-58)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1869 + 1890. Solve -91 = 28*w + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32 + (-5)\/24)\/((-5)\/(-660)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 h, and 1 u when four letters picked without replacement from {h: 2, w: 2, f: 2, n: 1, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let q(t) = 24*t + 8. Let b(u) = -8*u - 3. Suppose 2*y = h - 76, 2*y + 8*h + 88 = 3*h. Let d = y + 47. Let o(a) = d*b(a) + 3*q(a). Give o(l(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1543821 litres to millilitres.\nAnswer: 154.3821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2. Let s(k) = -325172*k**2. Calculate s(w(b)).\nAnswer: -1300688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4\/5, -1\/7, -4, -2 in descending order.\nAnswer: 5, 4\/5, -1\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375123895 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 296003.5 milliseconds in seconds?\nAnswer: 296.0035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -553, -559, -567?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*g**2 + 182 - 545\/3*g.\nAnswer: -(g - 1)*(g + 546)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*s = 3*y + 810, -y + 3*s + 778 = 0. What are the prime factors of y?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256567\/3894550 - 70\/1067. Let w = 36133\/7300 + l. Let m = -257\/45 - -65\/18. Find the common denominator of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/9)\/x)\/x)\/x**(-2\/15))**(-2\/9) assuming x is positive.\nAnswer: x**(88\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 1 - (-178)\/2 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i + 8. Let w = 83\/190 + 6\/95. Factor 0 - w*k + 1\/2*k**i.\nAnswer: k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41573703 rounded to the nearest 100000?\nAnswer: 41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*-5 + -3.\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24730846 and 1162.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221453, 885847, 1993173, 3543443, 5536669, 7972863, 10852037?\nAnswer: 14174203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/48)\/13*1\/((-10)\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24811 >= -24782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 4*h + 8*h**3 - 6*h to v*h**2 + p + n*h**3 + x*h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3 - 2. Let w = q - -1. Let l be w\/12 + (-3)\/6. Which is the nearest to l? (a) -0.4 (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(618\/(-2884))\/(12\/91).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 26172?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i + 11*i + 88 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k, -5*k - 11 = -22*o + 20*o. Solve 0 = 15*u - o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10973 divided by 2\nAnswer: -10973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-8)*2). Solve -5*s - y = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/4)*k)**(-3\/35))**(1\/50))**(-15))**2 assuming k is positive.\nAnswer: k**(27\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211048419853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-8)*264\/(-1188)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:36 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 106*p**2 - 77 - p - 109*p**2 + 214*p**2 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -7793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -35.03. Let j = 170.2 + -170. What is the nearest to -1\/4 in -0.3, p, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 9*j + 6. Let b be r(7). Suppose 4*y - 8 = f + 6, -5*y + 7 = 4*f. Is f\/4 + (-92)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*h + 194 + 21, 3*w - 4*h = -334. Let p = w + 135. What is the remainder when 48 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 126.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.5. Let g = 0.2 - i. Which is the closest to g? (a) 5 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 - 30 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 555758 and 6848?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -dc75d (base 16) to base 13\nAnswer: -25802c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -30. Let x = -3 + b. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 23\/15*o**6 + 0*o**3 + 0 + 0*o**2 - 35*o + 3\/4*o**4 + 0*o**5. What is the third derivative of x(m) wrt m?\nAnswer: 1104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 64.9. Let y = -5 + v. Which is the nearest to y? (a) 0.4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 37 (c) 48.5 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*2*(-21)\/42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18\/59 - -4461\/118. What is the common denominator of r and -44\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ea - -3?\nAnswer: 2ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19610\/(-1696) - 3\/(-6)) + 121\/11.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*q + 38 - 13, 3*q + 2*w - 5 = 0. Let y = 10 + q. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (588\/(-14))\/6*1*155\/(-35).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 4*j + 18. Let y be w(3). Suppose 124 = -2*g + 6*g. Calculate the greatest common divisor of g and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 6*i - i - 65, -5*i + 2*q = -40. Suppose -8*o + 3*o = i. Let v be ((-68)\/12 - -5)*60\/o. Solve 4*r - v = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 3*t**2 + 3*t - 1. Let j be b(-5). What is the derivative of 34*g**2 - j*g**2 - 1 - 2*g**3 wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 12 + 60 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 720436782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 67368496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -12*y**5\/5 + 543*y**4\/5 - 1167*y**3\/5 + 258*y**2\/5 = 0.\nAnswer: 0, 1\/4, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.902 - -3.902. Let r = 31 + -43. Which is the nearest to 2? (a) y (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 62. Calculate the highest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11759*o**2 - 2204*o - 3 wrt o.\nAnswer: -23518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 1. Let s be o(-2). Suppose -5*d + 10 = 2*h + 2*h, 5*h = 0. Is 15 a factor of (-285)\/(-9) + d\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 + 3*l - 4. Let d = 3 + 2. Does 14 divide r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let x(g) = g - 102 - g**2 - 11*g**2 - 139 + 232. Determine 22*a(z) + 2*x(z).\nAnswer: -2*z**2 + 2*z - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 92*v + 3 - 90*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -13. Let r(j) = -j**2 + 10*j + 1. What is the remainder when w is divided by r(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456274 divided by -763\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 7*l - 179004. What are the prime factors of l?\nAnswer: 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6685, -13661, -20935, -28507, -36377?\nAnswer: -44545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 5*p**2 + p**2 + (1 + 4 - 6)*(-p**2 + 3 - 3) - 4*p**2 - p**2 + 4*p**2 - 17*p**2 + 47*p**2 + 13*p**2 to f*p + r*p**2 + y and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and -81\/4670.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18599*v + 2696827. Determine j(145).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3456?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 1301*h + 6505. Give l(-5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 20. Let x be v(-8). Let n(b) = -b. Let s be n(0). Suppose s = f + 2*f - 15. Solve -f = 5*r, x*w - 4 = r + 3*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83 - 94) + 0 + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 446 = 438. Suppose l - 997 = -3*w - 917, -34 = -w - 4*l. What is the greatest common divisor of w and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) 12 (c) -0.1 (d) -243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 - -398. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 - -283. Suppose -j + 3*w + 17 = 6*w, -3*j = 4*w - m. Solve -j - 2 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + (-66)\/15. Let i(v) = 3*v**2 + 12*v - 16. Let j(s) = -2*s**2 - 8*s + 11. Let g(p) = -5*i(p) - 7*j(p). Give g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*z - 4*b, 4*z - 31 - 15 = -5*b. Solve m - 3*m + 4 = 2*k, z = -3*k + 2*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:56 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203004 - 4?\nAnswer: -203013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a*a**(-1\/2)))\/a)\/(a*a**(5\/3)*a*a)*a**(1\/9)*(a\/(a*a\/a**(1\/6)))\/a assuming a is positive.\nAnswer: a**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 8*y**2 - 4*y - 7. Let s(w) = w**3 - 9*w**2 + 9*w - 1. Let c be s(8). Is m(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**2*s + 324*d**2 - 14072*d*s + 640675063*s wrt d.\nAnswer: 16*d*s + 648*d - 14072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 631, 640, 661, 700, 763?\n\"Answer: h**3 + 2*h + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 16*o = -12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 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 u = 20 - 11. Let y = -7 + u. What is the third smallest value in 1, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (105\/4)\/((-2)\/(-24)). Suppose 3*q + z = -5*v, -4*v = -0*v + 4*q + 252. What is the units digit of 1\/4 + v\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1, 0, -0.1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 + 7*h - 4. Let p(i) be the first derivative of i**3 + i**2 - i + 1. Let w(k) = 7*p(k) - 2*u(k). What is the derivative of w(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 486, 707, 1052, 1527, 2138, 2891, 3792?\n\"Answer: u**3 + 56*u**2 + 46*u + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2014009, -4027999, -6041961, -8055883, -10069753, -12083559, -14097289?\nAnswer: -16110931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12065 - -24139\/2. Let w(x) be the first derivative of -1\/2*x**6 + 2*x**3 - 3\/2*x**4 + s*x**2 - 16 - 9\/5*x**5 + 3*x. Factor w(r).\nAnswer: -3*(r - 1)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 118332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-30))\/(2\/(-5))*(-126)\/(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398651.6um to centimeters.\nAnswer: 39.86516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.084 (b) -1 (c) -0.5 (d) 11933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4) + 3 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10527\/4 - 50012\/19. Calculate the common denominator of -9\/494 and b.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 14*o**2 - 14*o + 30. Calculate d(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.2584 nanoseconds in seconds?\nAnswer: 0.0000001932584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:31 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11351684 to the power of 1\/2, to the nearest integer?\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 7, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 124888*-0.4\nAnswer: -49955.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 6 (c) -5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -21. Let r(u) = u**3 - 5*u**2 + 3*u - 13. Let v be r(g). Let m(k) = -k - 1 - v - 4 + 2*k. Calculate m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/50)\/((-69)\/(-12) - 6). What is the nearest to -2\/5 in 5, j, -1\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4 - 5022*r**3 + 45036*r**2 - 134946*r + 134865 = 0.\nAnswer: 3, 1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -151. Let s(m) = w + 4*m**3 - 34 - 7*m**3 + 2*m + 2*m**3 - 3*m**2. Determine s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 5277125*y - 21108580.\nAnswer: 5*(y - 1055429)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488527\/24185 - -2\/4837. Do z and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-11)\/2. Let b be 1 + -2*(1 + -2)*c. Suppose 0 = 2*v + 2*v - 48. Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 488382 and 488382 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 129 = -f, -4*f + 4*t + 124 + 352 = 0. Factor 4*p**2 + f + 53*p + 51*p + 72 - 1.\nAnswer: 4*(p + 2)*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -z + 2*p + 2*p, -5*z - 5*p + 235 = 0. What is the highest common factor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = 4*k, -1 = -4*o - o + 2*k. Let v = -0.2 - -0.2. Which is the closest to 1? (a) v (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -214? (a) 6 (b) 0.1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 4*f - 1. Let h = 2 + -3. Let v = h - 2. Let j = -1 - v. Determine n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1608)\/(-30) - (-6)\/15. What is the highest common factor of s and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12428063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = -c + 5*i, -5*c + 1 = 4*i. Suppose 3*u + 3*t = 0, t + c + 1 = -3*u. Let s(m) = -3*m**2 + 3*m**2 + 4*m**3. Give s(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/2340 and -151\/1170?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 18.6. Let l = -3.4 - x. Let r be -5 + (1 - 0) + 1. Which is the second smallest value? (a) r (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102.0871km to micrometers.\nAnswer: 102087100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -88. Calculate the remainder when (0 - -73)\/(-43 - s) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(153)*-3 - -6*sqrt(153)*-1)\/((sqrt(99) + (sqrt(99)*-2 - sqrt(99))*-6)\/(sqrt(176)*1 + sqrt(11))))**2.\nAnswer: 95625\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3943*g - 3830*g + 1808 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/j)**(3\/35) assuming j is positive.\nAnswer: j**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - y**2 + 5*y - 3. What is b(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 290*j**3 + 8*j**2 - 364*j - 8. Let f(p) = 194*p**3 + 5*p**2 - 243*p - 5. Let n(u) = 8*f(u) - 5*v(u). What is the second derivative of n(h) wrt h?\nAnswer: 612*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)\/o**(-4))\/(o\/(o\/(o*o**0*o)))**44)\/((o**(-1\/3)*o\/((o*o**(1\/5))\/o))\/((o*o**(-7)*o)\/o**(-2\/9))) assuming o is positive.\nAnswer: o**(-4376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 25*x**2 - 268*x - 1470. Let u be j(-4). Factor -8\/7 + 30\/7*k + 8\/7*k**u.\nAnswer: 2*(k + 4)*(4*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - q - 3*f + 8 = 0, 2*f + 3 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4478*i**3 + i**2 - 4*i + 11. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*n - 3*m + 4, 2*m = 3*n + 11. Let w(c) = c**2 - c - 1. Let f(j) = -4*j**2 + 9. Let h(s) = n*w(s) - f(s). Calculate h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - d + 122, 7*s - 2*s - 610 = -d. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 4. Let r(k) = -142*k**2. Determine r(b(q)).\nAnswer: -5112*q**2 + 6816*q - 2272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2466571910 and -0.277.\nAnswer: -2466571910.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 39, 0.6, 5, 0.4, -0.5 in ascending order.\nAnswer: -23, -0.5, 0.4, 0.6, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**4 + 48*u**3 - 51*u**2 + 9*u - 3. Let n(j) = j**4 - j**3 - j**2 - 1. Let g(z) = -d(z) + 3*n(z). Solve g(p) = 0 for p.\nAnswer: 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -24. Suppose s = -3*p + 9*p. Suppose -d + 0*d + 6 = p. What is the lowest common multiple of 3 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/90 and 113\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12683 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1.3, -4, -0.1, -0.15, 167?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -272 + 244 + 8 + 16 + 7 + (96 - 1)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 48 - 217 - 345 - l + 25 in the form w + z*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41405 - -13?\nAnswer: -41352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1003117, 1003190, 1003263?\n\"Answer: 73*l + 1003044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39400 - -0.75802314.\nAnswer: -39399.24197686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 404033057 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.865746 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 763643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 14*z - 14. Calculate the least common multiple of 18 and k(12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 5*o + 0*o)*(-2*o + o + 3*o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffq when three letters picked without replacement from qqffqfqq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 + 23\/12*s**4 - 11\/20*s**5 + s + 0*s**2 + 0*s**3. What is the third derivative of o(w) wrt w?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 2. Let y = 1 + 7. Let u be w(y). Let r = -5 - u. Do r and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-6))\/((-2)\/12). Let a be (-9)\/u + 9\/2. Solve 0 = 5*i + a*w - 8, 2*i + w = 1 + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*(0 - 1)*4\/2. Let x = k + 41. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 + g**3 + 2*g**2 + 31*g. Determine y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154719.\nAnswer: 3, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k**3 - k. Let h be y(-1). Suppose -h*n = -7*n - 12. Solve n*p - 1 = 3*s - s, 3*s = -p + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*k - 9 = p, -p - 3*k + 3 = 0. Let d(q) = -5*q + 7. Let y(f) = f - 1. What is p*y(n) - d(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 + 275. List the prime factors of t.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59545, -119056, -178541, -238000, -297433, -356840?\nAnswer: -416221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191670174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - -5?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 75. Suppose z*c - 49*c = 51. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-152)\/10 + (-3)\/(-15). Let t be (-6)\/x*10\/2. Suppose 3*r + 2 = -2*y - 9, 0 = 3*y - t*r - 16. Solve 5*d - 3*z = 0, 0 = y*d + d - 4*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 21. Suppose -2*b + 91 = 3*u, 4*b - 253 = -2*u - 91. Suppose b = 2*g + 5*z, 2*g + 0*z - 5*z = 18. What is w(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**4*d + 10*c**4 - c**3*d + 37*c**3 + 29*c**2*d - 8292*c**2 wrt c.\nAnswer: 240*c*d + 240*c - 6*d + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 5*l. Let i(x) = 3*x. Let u(t) = 3*d(t) - 5*i(t). Let k(j) = -j**2. Calculate k(u(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 8*a**2 - 8*a - 2. Suppose r - 2 + 10 = 4*q, 5*q - 13 = r. Let x = 5 - r. Let v be b(x). Calculate the greatest common divisor of v and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479*j**5 + 272*j - 2.\nAnswer: -9580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 6. Let n be f(-6). Let w = -2868 - -2869. Is w <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -18. Let n = 6 - -2. Let q = v + n. Solve -2*p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 - 2*j**3)*(-15*j + 15*j - 3*j**2) - 32*j**5 - 36*j**5 - 72*j**5.\nAnswer: -143*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8556 and 0.084?\nAnswer: 718.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45336.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/594 and 47\/147870.\nAnswer: 4879710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-24)\/(-32) + 16486\/34. Let q = 251489\/510 - p. What is the common denominator of 73\/3 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 3381105?\nAnswer: 6762210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126784, 507167, 1141130, 2028667, 3169772, 4564439, 6212662?\nAnswer: 8114435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = 19*b + 16*b + 153. Let a(g) = 11*g + 24. Give a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.94 - -0.06. Let k = -7.4 - -7. Which is the third smallest value? (a) z (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00128238 rounded to 5 decimal places?\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -578*t**2 - 1572777576*t - 1069908868325448.\nAnswer: -2*(17*t + 23129082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*m + 49 - 1162, 4*m + 2*y + 1122 = 0. Let p = m - -351. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g = -2. Let n be (g - -6)*-13 + -1. Let a = n + 120. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 286*b**2 - 63*b - 920. What is the hundreds digit of c(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-8) - (-1)\/(-4). Let f(r) = -r**3 + 2. Calculate the least common multiple of f(h) and 5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 - 11*z + 6. Suppose 0 = 13*p - 18*p + 45. Determine f(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 3107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23440 - 23430. Solve 0 = -3*m + 3*a - 1 + j, 3*a - 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 49 = -42 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 1125*y**2 - 49464*y - 1562652.\nAnswer: -3*(y - 318)*(y - 78)*(y + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {r: 3, e: 6, c: 2, a: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 118*d - 555. Calculate z(7).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6*31*(-5)\/(-20))\/((-170)\/(-255))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8. Calculate the remainder when m is divided by 32\/(-24)*(-3)\/2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 831 - 830. Let g(a) = -8*a**2 - 1. Determine g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 37 - 177 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let l = -3.252 - 1.748. Let d = 2157\/5 - 431. Sort d, l, 0.06, z in descending order.\nAnswer: z, d, 0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 + 27*p - 6 in the form a + w*p and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/2701 and 121\/12702?\nAnswer: 469974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + u**2 + 9 + u - 48*u**3 + 1 + 0 as q*u**3 + a*u + i*u**2 + v and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -58 * 27.1991\nAnswer: -1577.5478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14722 and 273223.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*k - 18*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 24*w = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-13\/3))**(-20)\/((y**15*y)\/y*y**(-9\/2)))**(-3\/14) assuming y is positive.\nAnswer: y**(-457\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(55) + -2*sqrt(55)) + (sqrt(440)*-3 + sqrt(440) - sqrt(440))\/sqrt(8))\/((sqrt(99) - sqrt(99)*-1*2)\/(sqrt(441)*-2)).\nAnswer: -112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 e, and 1 u when four letters picked without replacement from yeroryuo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23105?\nAnswer: 5, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 63 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 65*u**2 + 2*u - 2. Is 21 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -31*t - 61. Calculate b(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 951\/6)*16\/(-18). Let h = o + -143. Sort 2.9, -5, h, -0.5 in increasing order.\nAnswer: -5, -0.5, h, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95538107 and 0.5.\nAnswer: -47769053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by 21?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1344)*14)\/((60\/24)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/11)*k)\/k*k)\/(k*k**17*k*k))\/(k\/k**(-4\/5)*k\/(k\/((k\/k**(2\/13))\/k*k))) assuming k is positive.\nAnswer: k**(-15347\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -13, -24, -49, -94, -165?\n\"Answer: -d**3 + 2*d**2 - 2*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-3278)\/(-8) + (-63)\/84). Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -18, -2, -11 in ascending order.\nAnswer: -18, -11, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/9 of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -86, -205, -368, -569, -802?\n\"Answer: h**3 - 31*h**2 + 17*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 90 = 3*m + 94, -5*m - 9 = -2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -18. Let c(n) = 2*n**3 - n**2 - n + 1. Calculate the lowest common multiple of 3 and c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 17372*b + 225667.\nAnswer: (b + 13)*(b + 17359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205316\/1075 - 4862\/25. Are -2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/303? (a) -0.5 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -3052, -10247, -24246, -47317?\nAnswer: -81728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(2\/(4\/2)). Suppose 0*k = -y*k. Suppose k = -4*l + 69 - 1. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 1. Let j(r) = r**3 - 5*r**2 - 2*r - 4. Let s(m) = -a(m) + j(m). What is the units digit of s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 - 13 - -3 - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Let z(v) be the second derivative of v**5\/20 + v**4\/4 - v**3\/2 - 3*v**2\/2 - 7*v + 3. What is the units digit of z(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45652b (base 14) in base 13?\nAnswer: 648777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let x(n) = n**3 + 7*n**2 + 5*n - 3. Let p be x(-6). Let h(v) = p - 2 - 5*v + 2. Let k = 66 - 67. What is k*h(l) - 6*z(l)?\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5527.\nAnswer: -2\/5527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7655*z = -7663*z + 144 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*i + 4*i - 40 = 0, 2*i - 47 = -5*z. Calculate the greatest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3345791?\nAnswer: 433, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -5, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - 2 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1332 divided by -2279.\nAnswer: -1332\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -59385, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2268 is divided by 1019?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/104 and -49\/1976?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 + 66*v - 158. Calculate s(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 3*i**2 + i**2)*(-3 + 1 + 1) + 4*i**2 - 2*i + 2*i + (2 - i - 2)*(i - 5*i + 5*i) as u*i**2 + v*i + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose -a = -y*a. Solve m + g = -a*m + 8, 3*g = m + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1978 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:44 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(192) + 2)**2*-3 - sqrt(192)) + sqrt(192))*-4 + sqrt(192) + 0 + 2 + -4.\nAnswer: 360*sqrt(3) + 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3910 is divided by 245.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2515 - -2311.2. Let m = 315.7 + a. Round m to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 23*p - 0*p + 1620. What is the lowest common multiple of 801 and p?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*n**2 + 77771698*n - 22220484.\nAnswer: -2*(n - 5555121)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = r, 0*r - 2*m = -3*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)*s**(5\/2))\/((s*s**(-1\/3)*s*s*s)\/(s*s**1*s)))\/((s\/(s**(-3)\/s)*s*s)\/((s*s\/s**(3\/2))\/s)*s**(1\/2)\/(s**(-4)\/s)) assuming s is positive.\nAnswer: s**(-749\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*o - 3984*o - 72112 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303941716 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19)*l\/l**(2\/5))\/(l**(5\/4))**23 assuming l is positive.\nAnswer: l**(-943\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 61, 0.5, 0.2, -1\/8 in decreasing order.\nAnswer: 61, 0.5, 0.2, -1\/8, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3119.976021 + -3120. Round i to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/4 - 3*x**3 - 3*x**2\/4 + 19*x\/2 - 6 = 0?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322007?\nAnswer: 7, 157, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from {k: 3, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6080 and -85\/2112.\nAnswer: 200640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 9*w**5\/5 - 22*w**3\/3 + 1137*w - 1242. What is the first derivative of u(o) wrt o?\nAnswer: 36*o**3 - 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249800 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4841 and -0.03?\nAnswer: 0.5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/(-24) - (3 + -3 + 5). Factor 1\/4*p**5 + 0 + g*p**4 + 1\/4*p**2 + 3\/4*p**3 + 0*p.\nAnswer: p**2*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 7)\/((-2)\/(-26)). Let v be 100\/(-195) + (0 - (-2)\/u). Which is the second biggest value? (a) -4 (b) v (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 4*f**2 - 3*f + 6. Let c be j(-5). Let p = c - -7. Let 2*r + 3*r**p + 2*r**3 - 3*r**3 + 4*r**2 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*s**3 - 156*s**3 - 712*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 4052.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*f - 69*f - 36*f as j + l*f and give l.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1415\nAnswer: 1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let l(d) be the second derivative of -d**7\/1260 + d**5\/30 + d**4\/4 - d. Let c(m) be the third derivative of l(m). What is c(k) + 4*i(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -5)\/(-20 - -1). Which is the closest to 0.1? (a) t (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/20 + t**4 + 8*t**3 - 31*t**2. Solve g(p) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1671 - -1681. Let x = 22 + -8. Solve -2*f + 0*f + w = -2*v, -v + 4*f = x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 372817.\nAnswer: 7456340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + p - 11070775 = 0, 11070805 = 5*z - 3*p - 2*p. Let b = -3694156 + z. Round b to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 18*b - 1012 = -550, 5*g = -4*b + 588. Let z(s) = -s**2 + 6*s + 6. Calculate the remainder when g is divided by z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 2916?\nAnswer: 72900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1830047393?\nAnswer: 1830047393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15910 - -24480. List the prime factors of x.\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 47, 3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qll when three letters picked without replacement from wqllwqwwlnwwllq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(1 + sqrt(833))**2 + ((sqrt(833) - 2*2*sqrt(833))**2 - sqrt(833))) - (sqrt(833) + 2 + -4 + -2*sqrt(833)*-1)**2.\nAnswer: -10828 + 161*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24750 and 371855.\nAnswer: 167334750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**2\/2 - 7. Let u(h) = -5*h - 1. Let z(o) = -4*m(o) - u(o). Give z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*c - 23*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*b = 6*b - 9, 0 = -5*s - 3*b + 21. Let i be 10\/20*(-12)\/(-1). Solve 0 = -5*z + 2*h - 4*h - 10, s*z - 4*h + i = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Let n = s - 3.5. Which is the closest to -0.2? (a) n (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 921664662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 14*d + 72.\nAnswer: -(d - 4)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2959*a + 6. Let p(i) = 5918*i + 10. Give -5*c(n) + 3*p(n).\nAnswer: 2959*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -541751740*y**4 - 2*y**3 + 2677*y**2 - 17473*y + 3?\nAnswer: -13002041760*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/15)\/7*12\/(-12402)*-13.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1) + 14 + -35 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l - 1. Let d be f(1). Suppose 3*k - 5*q - 134 + 35 = 0, 99 = 3*k - q. Suppose 3*y + d = k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 - 2623 - 1335 = -265*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-7)*774\/32250?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 - 7*m - 30. Determine t(-4).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000502183 rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t = 5 - 22, -5*t = -2*q + 31. Suppose -384 = -4*r - 2*w, r - 2*w - q*w = 74. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 7.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 - 2*j**3 + 4*j**3 + 81*j**3 + 1228*j - 1228*j + (-3*j**3 + j**3 + 4*j**3)*(-1 + 1 + 4) as m*j + v*j**2 + n*j**3 + t and give n.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2025334008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.557 - -1.087. What is the nearest to -1 in -4, t, -2\/5, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 18. Let z(j) = -j**3 - 7*j**2 - 5*j + 1. Let q be (-6)\/(-9) - (-80)\/(-12). Let a be z(q). Sort a, f, 5 in increasing order.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((2 + sqrt(363) + sqrt(363))*6 + 1)*1 - (-2 + sqrt(363) + 0 - (2 + sqrt(363) + 2 + sqrt(363)))))**2.\nAnswer: 48906*sqrt(3) + 555372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557293.\nAnswer: 37, 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -208. Suppose -u = 5*n + 4*l, 2*l + 32 = -5*n - 150. Let d = n - -82. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**2 + 21*w**2 + 0*w**2)*(4 - 2 + 0)*(-1 + 3*w - 3*w - 2*w) to the form o*w**3 + v*w + d + b*w**2 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -26. Let j(w) = -9*w - 44722*w**2 + 22356*w**2 + 22367*w**2. What is j(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 330, -9895.\nAnswer: -9895, 6, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:54 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u + 5. Let v(p) = -8*p - 6. Let d(a) = 6*r(a) + 5*v(a). Let q(h) = -4*h**2 - 1. Let o(l) = 1. Let j(k) = -o(k) - q(k). Determine j(d(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 7*x - q + 14, -2*x - 5*q - 11 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 15*t**2 + 24*t + 14. Determine d(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(245) + -2*sqrt(245))**2 - (4 + (sqrt(245) - -1*sqrt(245)))**2) + 4 + (-2*sqrt(245) + 3)*6.\nAnswer: 252*sqrt(5) + 5215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*v + 28*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1604, 6412, 14424, 25640?\nAnswer: 40060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -22*q**2. Suppose -22*l + 27*l = 35. Let a(z) = -5 + l*z**2 + 5 - 9*z**2. Determine f(a(b)).\nAnswer: -88*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 3. Suppose 5*h - 19 = 4*j - j, 4*j - 5*h = -17. Let c = j + 9. Suppose u - 3*u - 5*r + 3 = 0, -r + c = 3*u. Determine z(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691490368 a multiple of 3657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 17 - 59. Let m be (-1)\/z - (-8 + (-565)\/(-3)). Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/3))\/d*d*d\/d**(-14)*d**(-1)\/(d**(-1\/14)*d))**(2\/31) assuming d is positive.\nAnswer: d**(661\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7448\/2520 + (-35)\/25?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.25 - 0.15. Let n = g - -1.9. Let h be ((-14)\/(-35))\/(12\/10). Which is the smallest value? (a) n (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 9338?\nAnswer: 56028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.024 + -10.076. Let g = -2.1 - o. Let v = g - 9. Is 0.06 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 7, g: 1, a: 5, s: 1, x: 4}. Give prob of picking 2 d.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3431314241?\nAnswer: -3431314234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/6 + 40*z**3\/3 + 400*z**2 + z - 102. Factor w(b).\nAnswer: 2*(b + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2452334.62 to the nearest 1000.\nAnswer: -2452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94.9 + 91. Let n = -4.03 - v. Let x = -0.09 - n. Which is bigger: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 29*a**3 + 171*a + 8*a**3 + a**3 + 2*a**3 - 1 to the form f*a**3 + b*a + n + i*a**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 41. Suppose 5*h = z - 7. Solve 0 = h*j + j + 3*f + 3, -20 = -4*j + 2*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-10 + (-7 - 5) - -16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11766*b**2*h**3 + 2*b**2 - 69*b*h**5 - 3*b*h + b + 23276*h wrt h?\nAnswer: 70596*b**2*h - 1380*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3783179 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844496.\nAnswer: 2, 139, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -3 (b) 5 (c) -315317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228, 968, 534, -74?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 755490360 rounded to the nearest 100000?\nAnswer: 755500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**3 + 15*h**2 - 7*h - 15. Let n(v) = 5*v**3 + 8*v**2 - 4*v - 8. What is -6*g(j) + 11*n(j)?\nAnswer: j**3 - 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((188\/3948)\/(38\/(-6))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -786 + 810. Suppose 50 = j + s, -5*s + 6 = j - c. What is the greatest common factor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*w - 133*w - 56*w + 4*w + 45*w as v*w + l and give v.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 + 23*i**2 + 8358*i + 50274. Give m(-6).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131011 divided by -131011?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25120 - -4132?\nAnswer: -20baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/24 + (-29)\/(-6). Suppose 4*o - x*u = 0, 4*o - 3*u + 8*u = 0. Solve o = -k - 3*k + y - 16, 4*k = -5*y - 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t - 2. Let s be (-1 - -5 - 2)\/1. What is o(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*j + 7 - 60, -4*g + j + 250 = 0. Let o be (-64)\/(-8) - -2*1\/(-2). What is the highest common factor of o and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30398, -30410, -30422, -30434?\n\"Answer: -12*r - 30386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2066697, 2066830, 2067191, 2067894, 2069053, 2070782, 2073195?\n\"Answer: 19*w**3 + 2066678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -118. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose 4*i = -4*a - 16, -i + 2 = a - 2*i. Let r = 0 - a. Solve h + n = -x + r, -h - 2*x = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 2. Let m(p) = -1. Determine -m(t) - s(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -70?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k + 4. Let h = 1 - k. Put -4, h, 1 in increasing order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 0.24. Let f = y + 3.7. Let p = f + -6. Which is smaller: -2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1635, 16, 3\/4 in descending order.\nAnswer: 16, 3\/4, -1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**2 - 22*h + 9*h - 5*h**6 + 13*h wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 604.743l?\nAnswer: 604743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548080 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 9}. What is prob of sequence wbb?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15328882.\nAnswer: 2, 1879, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1948*o**3 - 11*o**2 - 24*o - 8. Let r(s) = 3896*s**3 - 24*s**2 - 52*s - 17. Calculate -13*b(a) + 6*r(a).\nAnswer: -1948*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035403445 (base 6) in base 15?\nAnswer: -ead5de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 755225 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*h + 17 = h, -4*h - 15 = -5*u. Let i = 755\/7 + -108. Is u bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1586)\/195 + 8)*-3. Find i such that 0 + h*i**2 + 2*i = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1256\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886556.\nAnswer: 2, 11, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 179 = -109, 3*u - 9*u + 32 = -u + 3*t - 41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6545840?\nAnswer: 2, 5, 7, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:29 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/120*(-120)\/21 + 2. What is the nearest to k in 8\/11, 30, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 - 3 = 0. What is the remainder when 13 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(378) - (sqrt(378) - -5*2*sqrt(378)))\/(sqrt(600) - (sqrt(6) - (sqrt(6) + (1*sqrt(54))\/sqrt(9)) - sqrt(6))).\nAnswer: -13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -4, -20, -3 in increasing order.\nAnswer: -20, -10, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32925 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-316)\/22041*31*4\/(448\/(-60))\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 2*g = -164, -10*b - 3046 + 5707 = -3*g + 2903 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -1 + 7. Suppose 4*n + 0*n = l*a + 2, -3*a = 5*n - 16. Suppose -1 = -b, 3*m - b = -m + 31. What is the smallest common multiple of m and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 22 = 3*p - 4*a, 5*p + 4*a - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/9)))\/(n*n**(-2\/11))*n**20*n**(3\/10)\/n*n*n assuming n is positive.\nAnswer: n**(20497\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38152684?\nAnswer: 2, 19, 619, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (1*sqrt(4320))\/sqrt(10) + -2)**2.\nAnswer: -866 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/635 in 2\/7, 0, -3, -0.08, -20, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28089280 by -320.\nAnswer: 87779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*j - 104*j + 107*j**3 + (0*j + 3*j - 2*j)*(2*j - j**2 - 2*j).\nAnswer: 106*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Suppose -4*x - a*c + 10 = -130, -101 = -3*x - 2*c. Let o = x - -5. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1590 - 1485. Solve -88*q - y = -67*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271.361 micrograms in nanograms?\nAnswer: 6271361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-1 - 4\/34). Let d = 6\/679 + -1508\/16975. Put 4\/3, -1\/2, d, q in descending order.\nAnswer: 4\/3, q, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 - -11 - (-7526)\/(-2). Let u be (z\/6)\/((-12)\/18). Suppose -5*j - u = -3036. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 1412 + 2484. List the prime factors of y.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 5*o**3 - o**2 + 0*o**2)*(-20*o - 8 + 22 - 15) to z*o**3 + s + k*o**4 + w*o + g*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -99 + 1483. Let z = 462 + a. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -6. Let g be (-3)\/y + 14\/35. Suppose 0*z = z - g. Let n(w) = w. What is n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 34. What is the common denominator of -11\/26 and ((-106)\/(-40))\/((-30)\/y)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/7*(105\/520)\/7?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 198, 300?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 278.08 and -2280 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y**2 - 44*y - 27. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:28 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 865672 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: Suppose -w + 199 = 78. Suppose -2*y + 3856 = 544. Let m = y - w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15631745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -61706\nAnswer: -8\/30853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 take away -343.95422?\nAnswer: 343.90622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 2*v - 26. Suppose 3 = z, 0*z = 3*w + 2*z - 45. Calculate the remainder when o(-5) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 21. Suppose s - i = -2*o, -2*s + 2*o + 9 + 13 = 0. Let m = 7 + s. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose 0 = 8*o + 162 - 1642. Let m = -181 + o. Solve m*d = -h*p - 4, -2*p - 41 = 5*d - 6*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -7*z**3\/2 + 14*z**2 + 67*z. What is the units digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4061825 is divided by 812363.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/20 - s**4\/3 - s**3\/2 + s**2 - 4*s. Let a be y(-3). Solve 2*b + a*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (423 - 0)\/(7 + 7 + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 23. Which is bigger: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-3))\/(2\/(-3)). Suppose 2*d - u = u + 48, 0 = q*u + 10. Let m = 1 + d. Calculate the least common multiple of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) 7 (c) 1\/4 (d) 4.14 (e) -30 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8733 - 10) + -3 + -7.\nAnswer: 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 38973441783?\nAnswer: -38973441784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**2\/2 + 13. Let y(d) = -12*d. Give y(p(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 467\/237653 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1006 - 6)\/5 - (-1 - -2). Let r be (n - -13)*(4 + -3)\/4. What is the second biggest value in 2, r, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15484 and 3249680.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 0*q + (2*q + 0*q + 0*q)*(0 - 3 + 2) - 3*q + 2*q + 0*q)*(4924 - 4924 - 143*q**2).\nAnswer: 572*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2234 less than -2251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 24515?\nAnswer: -73545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.184*-4.67\nAnswer: -0.85928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 61. Find the third derivative of -98*w**t + 119*w**5 - 9*w**2 + 22*w**2 wrt w.\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 6*c + 38. Let r be n(-4). List the prime factors of r\/(-6)*(-8 + 3077).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23035 times -0.5?\nAnswer: -11517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24275119.\nAnswer: 11, 2206829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from -0.96.\nAnswer: 21.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 1. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1650, 1877, 1378, 153, -1798?\n\"Answer: -363*w**2 + 1316*w + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w**2 + w - 11. Let z(l) = -45*l**2 + 3*l - 31. Calculate -11*r(p) + 4*z(p).\nAnswer: -15*p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose -3*j - 10 = -3*u - 4*j, 2*u = -d*j + 11. Let n = u + 4. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a48 (base 14) to base 6\nAnswer: -34024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 - 33*n**4 + 48*n**2 wrt n.\nAnswer: 360*n**3 - 792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)*(-3)\/(-2). Let d = 1 + -1.1. Let r = -307\/2 + 154. What is the nearest to d in -5, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -843a5 - 0?\nAnswer: -843a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 13*q**2 + 11*q + 139. Let k be (-7)\/(-1) + -13 + (-1 - 6). Give i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y + 12. Let i be u(0). Suppose -5*w + 57 = 4*o, 3*o - 3*w - 3 = 6. Let m = i - o. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7716 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 + 440. What are the prime factors of p?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*q - 11, -39*q = 5*f - 37*q - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -116.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 540440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25570*h - 25578*h - 3*n = 82, 5*h + 70 = 5*n - 10*n for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.80254069 to two dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1276*t - 53591 + 168431 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405) - sqrt(10)\/sqrt(2)*-5.\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 23 = p, -2*u - 14 = 5*p + 3. Let i = u - -11. What is the lowest common multiple of i and 2*((-65)\/(-4))\/(((-135)\/6)\/(-9))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5411276 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 24 - 39 + 21 - 14*f**2.\nAnswer: 9*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + 4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*c**2 - 74 + 74 + (0*c + 0*c + 2*c)*(121*c + 41*c + 166*c) in the form y*c + f*c**2 + x and give f.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 3, 2, 54 in ascending order.\nAnswer: -9, -5, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -51, -50, -47, -42, -35, -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 35*x**5 - 500*x**4 - 45535*x**3 + 1090980*x**2 - 5070780*x + 1360800 = 0.\nAnswer: -40, 2\/7, 6, 21, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -34. Sort 0, t, -6\/5, 2\/9 in descending order.\nAnswer: 2\/9, 0, -6\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - y - 157 - 1314, 0 = -5*c + 3*y + 7361. Suppose 698*w - 697*w = c. What are the prime factors of w?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 95) + 92 + -29?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85558, -85456, -85206, -84742, -83998, -82908, -81406?\nAnswer: -79426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 3983*j - 7961. What is f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, d: 1, e: 1, c: 7, g: 3}. Give prob of sequence ec.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10)*i)\/i*i)**3 assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1526 + 1487. Let q be 2\/8 + (-2598)\/(-8). Find the common denominator of q\/s - (-2)\/(-4) and -101\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 162\/45*20\/6. Suppose -4*s + 3*s = -5*h - 45, h = -5*s + 147. Calculate the greatest common factor of q and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -704 + 1219. Let s = -514.99999454 + i. What is s rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -194, -699, -1732, -3485, -6150?\nAnswer: -9919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**3 + 70 + 2*w**4 - 283*w**2 - 10*w**3 - 4*w**4 + 291*w**2 in the form a*w**2 + n*w**4 + f + m*w + u*w**3 and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 170*s**2 + 1945*s - 1946. Give g(1).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4*z + 13. What is g(-9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 - 93460*g**2 - 1960345*g + 2053810 = 0. Calculate g.\nAnswer: -18671, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6308255 (base 9) in base 6?\nAnswer: -200134205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*c**2 + 19300430495*c - 19300430495*c + 2*c**3.\nAnswer: 2*c**3 + 80*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4045251, -4045252, -4045253, -4045254?\n\"Answer: -d - 4045250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 - 2697*f**4 + 314394*f**3 - 924348*f**2 + 612648*f = 0 for f.\nAnswer: 0, 1, 2, 134, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 130.583. Let o = n - -0.073. What is o rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 26*u**4 + u**5 + 133238*u**2 - 133066*u**2 + 84*u + 28*u**3 + 85*u**3 = 0.\nAnswer: -21, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20912625 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23050481*n + 57524848.\nAnswer: 23050481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c. Let r(h) = -4*h**2 + 2*h + 200. What is r(s(k))?\nAnswer: -196*k**2 + 14*k + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 4. Solve 3*i = 3*t + 21, 14 = -t + j*i - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 1. Suppose -2*g - 6*c + 9*c = 8, -3*g = -5*c + 14. What is l(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 14) in base 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3597 - 47*f**4 + 3597)*(7*f + 5*f + 5*f).\nAnswer: -799*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7347 - 124901\/17. What is the nearest to 1 in w, 2, 5, -0.004?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.8 less than or equal to 3732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662391896 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 29*t**2 + 86*t - 216. What is x(26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307781.\nAnswer: 19, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j - 1. Let b be d(-2). Let c = b - -4. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32631852653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2259 (base 12) to base 14.\nAnswer: -1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.61 + 0.39. Let l = 1.5 + -1. What is the closest to -0.1 in 1\/9, r, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1387 in 3\/2, 1, -0.5, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26961626 is divided by 310.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.265695 years in centuries?\nAnswer: 0.03265695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z = -76 - 137 - 57 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqw when four letters picked without replacement from {q: 3, w: 3, y: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**3 - 25*c**2. Let f(u) = -15*u**3 - 24*u**2 + 61*u - 61*u. Let s(y) = -7*f(y) + 6*x(y). Find the third derivative of s(v) wrt v.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**4 - m**2 - 4189*m**3 + 0*m**4 + 4188*m**3 + 1 + m to o*m**3 + x + p*m**4 + u*m + j*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 455?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 102 + 0*n + 2*n + 40*n**2 + 34*n**2 + 2*n**3 to the form z + y*n + f*n**2 + h*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8886, 17907, 26936, 35973, 45018?\n\"Answer: 4*c**2 + 9009*c - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2, n: 1, c: 1, g: 2, h: 8}. What is prob of sequence bh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 3*h - 16*h**3 + 7*h - h**2.\nAnswer: -16*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -15, 0 = -r + d - 4. Sort 1, 2, 4, r in decreasing order.\nAnswer: 4, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7*i - 3*t + 36, 4*i + 5*t - 45 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3\/4, 0.5, 5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-185)\/(-222))\/(1\/3)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let b(i) = 108 - 215 - 109*i + 107. Give b(s(w)).\nAnswer: -109*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9) - 668\/(-6). Suppose 0 = -2*c + j + 40, -31 + s = 4*c + j. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m - 36 = 65*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1991 + -1955. Calculate the remainder when 142 is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -11, 2, -2 in ascending order.\nAnswer: -11, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 1. Let t be -1 + (-11)\/(-7) + 342\/63. Let u(m) = m. Suppose 2*x - 7*x = -10. Determine t*u(h) + x*a(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 49, 54, 61?\n\"Answer: j**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/((d\/(d**0*d*d*d*d))\/d))\/d))**(2\/167)*(d\/(d*(d*d\/(d*d**(-2)))\/d))**(-16) assuming d is positive.\nAnswer: d**(5338\/167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*((-90)\/20)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 5. Let s be 5 - -4*3\/(-6). Suppose -k - s = y + 1, -y - 4 = 3*k. Let b be (y\/6)\/((-6)\/54). Calculate g(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 43*b + 1769. Give s(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.9. Let r = 0.9 + q. Let g = -7 - -6.7. Put g, r, -1 in decreasing order.\nAnswer: r, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13074534701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1004104 (base 5) to base 4\nAnswer: -3330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 2\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/8)*y*y**(-3))**(-4\/3) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let v(m) = 70175*m**2 + m - 1. Give p(v(h)).\nAnswer: -140350*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/(-15) + (-2)\/3. Suppose -8 = -k*d + 34. Suppose -28 = -4*r - 3*a, -r - a + 2 + 6 = 0. Calculate the lowest common multiple of d and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (63\/(-18) - -5). Put 1, b, 538 in ascending order.\nAnswer: b, 1, 538","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 - 7*d**2 - 6*d - 4. Let f(l) be the second derivative of 7*l**5\/10 - 5*l**4\/3 - 17*l**3\/6 - 11*l**2\/2 + 18*l. What is 6*f(m) - 17*p(m)?\nAnswer: -m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36550429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.686546 hours in nanoseconds?\nAnswer: 27671565600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 22 + 9)*(1849 - 1849 + 57*g) + 2*g - 5*g + 2*g.\nAnswer: -1540*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 36 = 9*l. Let t be 3 + l\/8 - (-35)\/(-4). Let n(v) = v**2 + 10*v + 20. Let s be n(t). Solve s*u - 5*d + 10 = -0*d, 3*u - 4*d + 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1164.079 - -1162. Let v = 135 + -132.8. Let n = q + v. Round n to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -272*s**2 + 8. Let b(l) = -1089*l**2 + 30. Calculate 4*b(r) - 15*g(r).\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 25*k = 22*k + 391, -6*z = -5*k - 255 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54433545 to the power of 1\/2, to the nearest integer?\nAnswer: 7378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/153 and -7\/248421.\nAnswer: 745263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -22, -46, -90, -160, -262, -402?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 238*t - 34. Let o be b(12). What is the greatest common factor of 34 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43c9 (base 15) to base 9.\nAnswer: -21630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s. Let c(t) = -2*t**2 - 3*t**2 + 2*t**2. Determine h(c(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156.26971 rounded to the nearest integer?\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 1, d: 2, b: 1, i: 1, s: 1}. What is prob of picking 1 r, 1 d, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 11. Determine n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 4*q + 4. Let d = 8 - 5. Suppose -d*y + 76 = 2*y - 4*x, 2*y - 3*x - 29 = 0. Suppose -5*m - y = -m. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (0 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t + 4679 - 4604 = 0. Sort 5, 81, 4, 8, t.\nAnswer: t, 4, 5, 8, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26628 (base 11) to base 7.\nAnswer: 215600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 140 + 40. Let z be 1205*2\/d*1. Suppose f = z - 101. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - y = -86, -3*o + 2*y = 3*y - 52. Let q = o + 27. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) 12\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(0 - 2) + 1. Suppose k = -k + x. Suppose 2*u - 100 = -k*i + 150, 3*i = u + 200. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072869?\nAnswer: 3, 7, 47, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -1, -20, -67, -154?\n\"Answer: -2*k**3 + 4*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7008 - -24994. List the prime factors of h.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 99. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -4\/11, -0.4, -3\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045870713 to six decimal places.\nAnswer: -0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 5*p**8\/336 - 5*p**7\/21 + 4*p**6\/3 - 8*p**5\/3 - 438*p**2. What is m in h(m) = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 10. Let w = -88.4236062 + 62.4236039. Let c = a + w. What is c rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*u - 14*u. Let w(x) = 3*x - 4. Suppose -9*h = -6*h - 63. Calculate the remainder when h is divided by w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(209)*-1 + sqrt(209)) - sqrt(209))*2)\/(-2*sqrt(891)*-3).\nAnswer: -sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:21 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40979 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 3, m: 1, q: 1, g: 1}. What is prob of sequence zc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -25943, 8, -2\/5 in descending order.\nAnswer: 8, 0, -2\/5, -4, -25943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1242)\/(2 - -1))\/(456\/(-2128)).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3 + 913*n**2 - 9039*n + 8127 = 0.\nAnswer: 1, 9, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440963 is divided by 88119?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -64. List the prime factors of ((-1)\/q)\/(-1) + -2 + 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = m. Let g(r) = 2*r**2 + 3*r + 2. Let n be 9\/(-6)*8\/6. Let z be g(n). Solve f = -3*o - 8, 2*f - m*o + 12 = -z*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((121\/(-33))\/(-11))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 15*n + 2*n. Let h be (-2)\/6 - 52\/(-84). What is the second biggest value in h, 3, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -k + 15, -k - 4*z + 3 + 7 = 0. Let i be (7 + -1)*k\/4. What is the units digit of -15*(2 + 39\/i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2 + 12, -2*l + 168 = -4*x. What is the remainder when l is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2278*c. Let w(i) = -3*i**2. Determine w(p(t)).\nAnswer: -15567852*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -8.9. Suppose 3*z - h = 20, -6*z - h + 29 = -2*z. Let g(d) = d - 8. Let x be g(z). Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001175 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.00113ml in litres?\nAnswer: 0.06600113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10 = -5*q, -58*o + 4*q - 8 = -48*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:24 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1743 or -141?\nAnswer: 4\/1743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 3\/2, 1 in descending order.\nAnswer: 3\/2, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let d be u(0). Let a be (4 - d)*9240\/32. Suppose -2*x + 924 = 2*x + 4*t, -5*x - t + a = 0. Calculate the greatest common divisor of x and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/3)\/((-2)\/183). Suppose -4*x + 5*f = -0*x - u, -3*x - 3*f = -393. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -31 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43156*p - 59440*p + 27620*p.\nAnswer: -74976*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -861 + 5062. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060273003.\nAnswer: 2060273003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*h + 43, -13 = -4*i + 5*h + 43. What is the least common multiple of i and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 107804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 5512 = -60*p + 2787. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271574182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -901938 + 450967 - 11138*g + 450971 to b + d*g and give d.\nAnswer: -11138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1805)\/285)\/(3\/(-18)*2))\/((-1)\/1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 1, f: 1, w: 2, u: 1, i: 2, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41693 = -104*h - 40029 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 20.5. Let q = 6 + x. What is the second smallest value in 0, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: fb1b (base 16) to base 3\nAnswer: 10021011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(1029) - sqrt(21) - sqrt(21))\/(2*sqrt(363)).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6647516.5 + 30.9.\nAnswer: -6647485.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -824 and -825 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {m: 1, w: 1, r: 2, a: 1, g: 1, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 + 20*m**3 - 8404*m**2 - 104852*m - 96432 = 0.\nAnswer: -41, -12, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 81 - 60 - 4\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 5. Suppose 0 = -l*z + 11 + 3. Let p(t) = 21*t**3 - 2*t**2 + t + 3. Let o be p(z). Calculate the greatest common divisor of 66 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.321 + 0.221. What is the closest to o in -0.2, -32, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1805 - -177. Is n a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + 10441421?\nAnswer: 10442112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*g**2 - 3\/7*g + 2\/7 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 611 and 4519567.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731644*k**3 - 1 - 1 - 2731670*k**3.\nAnswer: -26*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 351, 3422, 11757, 27990, 54755, 94686?\n\"Answer: 439*i**3 - 2*i**2 + 4*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c = -36*c - q - 11, -3*c = -3*q - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5603009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -502*m**2 + 405*m**2 + 3*m + 130 - 2417*m**2 wrt m?\nAnswer: -5028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(11 - 15)*(15\/(-21) + -6).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 26\/68345 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19465889 - 2.\nAnswer: -1.80534111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.83.\nAnswer: -0.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from stssstt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323838 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16752\/60 + (-1)\/5. Suppose 5*a - l = 206. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210144240143 - -2?\nAnswer: 210144240200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -0*i - 2*i. Suppose 4*x - 5*o - 204 = -0*o, i = -3*o + 12. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.05 - 122.2. Round m to 0 dps.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20807246?\nAnswer: 2, 37, 317, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 18*w - 27. Determine u(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 24. Let j = 95 + -102. Let l = u + j. What is the greatest common factor of 8 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 + 89276*c\/5 + 2988826566\/5.\nAnswer: 2*(c + 66957)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + 83\/(-28))\/((-476)\/16) and 59\/77.\nAnswer: 9163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/(-14))\/(-9))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/345838212 and -85\/8?\nAnswer: 691676424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8048\/(-2)*1551\/(-132)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6865, 6773, 6527, 6049, 5261, 4085, 2443?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(160\/(-6))*-1)\/(3\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.5, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 + 3 = 3*d, 4 = 5*d - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1 - 8 + v**3 + 2 - 5*v**2 + 4*v. Suppose 8 = 4*f, -1 = d - 3*f + 3. Let p(t) = -9*t**2 + 2*t**2 - 2 + 5*t**d - 3*t + 5*t. What is -5*p(u) + 2*w(u)?\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/36 + (-326)\/9. Let n = b - -59. Suppose -u + 5*z = n, 3*u + 0*u - 3*z = -9. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Suppose -218*y + 121*y - 60 = -112*y. Let o = 19 - 9. Which is the second smallest value? (a) y (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-5))\/((-714)\/(-153)*15\/(-350)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 266474*c - 266488. Determine y(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h*h**(-8)*(h**(-3)*h)**(-2\/13))**(-39) assuming h is positive.\nAnswer: h**417","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/4 + 67575*t\/4 + 67571 = 0. What is t?\nAnswer: -67571, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 4\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -88\/5*x**4 + 864\/5*x**3 - 4738\/5*x + 2\/5*x**5 + 2564\/5*x**2 - 6348\/5 = 0. Calculate x.\nAnswer: -3, -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 52. Let w(x) = -2*x + 134. Let p be w(-5). What is the greatest common factor of p and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 2*w**3 - w**3)*(8*w - 22 + 22)*(-2*w + w - w).\nAnswer: -32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1, -4\/3, 1\/837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/3 + s**3\/3 - 3*s**2 + s + 517. Let o(h) = 6*h + 12. What is o(k(d))?\nAnswer: -120*d**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v - 98*v - 2*t = -13, -8*v = 5*t - 49 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(-v - 2*v + 4*v) + 0*v - 5*v + 4*v + (0 + 5 - 3)*(1 - 1 - 2*v) to the form o + c*v and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -93 (c) 11\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23118272 greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 93702?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 7. Let b = q - -3.1. Let s be 6\/(-5) - (-36)\/(-225)*-5. What is the closest to s in b, 1\/2, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -21. Let h(d) = -7*d + 2*d + 11 + 4*d**z + 12 - 28 + 3*d**2. Let c(o) = -3*o**3 - 2*o**2 + 4*o + 4. What is 3*c(g) + 2*h(g)?\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in -0.1, -4, 1.02, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -33. Suppose 0*o - 25 = -5*o. Put o, -1\/5, h in descending order.\nAnswer: o, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**3 + 2*s - 1. Let b = 2 + -4. Let n(a) = -27*a**3 - 5*a + 1. Let k(w) = b*n(w) - 5*g(w). Differentiate k(c) wrt c.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f - 41*f = 5*x - 109, 17 = x + f. Calculate the least common multiple of x and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 5*a**3 - 5*a**2 - 5*a.\nAnswer: 5*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*r + 75*r + 77*r - 6437*r**2.\nAnswer: -6437*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62227 by 10196.\nAnswer: 62227\/10196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 82 = -2*l + 42, -336 = -5*l - b. Let x = l - 65. Solve -x*d + 5 = -8*d, 2 = 5*i - 2*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 25 + 9. Let z = c + 7. Suppose 5*j - 1242 = -z*p, -4*p + j + 1673 = 2*j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - 1*sqrt(110))*-6)\/((sqrt(90) - (sqrt(90) - (sqrt(90) + (sqrt(90) - -2*sqrt(90)) + sqrt(90) - sqrt(90))))\/sqrt(9)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.307 + 0.207. Sort 2, 6, u, 2\/19 in descending order.\nAnswer: 6, 2, 2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*l - 2 + 81*l + 2.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1077256230 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 7*s**2 - 3*s + 5. Let k be v(-6). Let y = -45 + 3. Let u = y + k. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a factor of 33251104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -1802\/9. Let d = 5.9 - 7.9. Which is the nearest to d? (a) k (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - -362.4712816.\nAnswer: 337.4712816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 2*u**3 + 2*u**3 + (-5*u + 0*u + 3*u)*(-3*u**4 - 2*u**2 + 2*u**2) + 7*u**5 + 3*u**5 + 10*u**5 + 39*u**5 - 2788 + 2788.\nAnswer: 68*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10 + -4*323\/380)*(-2345)\/(-105)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-10 + 3)\/42). Let q(r) = r**3 - 2*r**p + 359 - 358 - r**2 + 2*r. Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 - n**2 - n + 3. Let a be z(4). Suppose a*u - 4*u = 111. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413080460.\nAnswer: 2, 5, 13, 23, 67, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33210 (base 5) to base 10.\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/3 - 9*i. Let t(a) = 4*a. What is v(t(g))?\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -3\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/(11\/22). Calculate the greatest common factor of n and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*u + 39*u**4 + 11*u - 21*u + 57*u**2 wrt u?\nAnswer: 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.9905 + -0.0095. Let k = -23.92 - f. Is -0.37 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 13*h + 5. Let v be d(0). Suppose -b = 4*u - 9, 6*b - v*b = 5*u - 9. What is the least common multiple of 249 and b?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017561 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 195 + 57 = 0. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2.7, -0.1, 530, -1 in descending order.\nAnswer: 530, 4, 1, -0.1, -1, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 22*l**2 - 20*l - 46. What is p(21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 266390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 - 17.13. Let m = p + 17. Suppose -3*i + 4*i - 3*o - 8 = 0, -i + 8 = -o. Are m and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + x**3 + 2*x**4 - 183 + 169 + 3*x**2 in the form s + j*x**2 + q*x**4 + z*x**3 + h*x and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 7, v: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63422.4938 rounded to the nearest 10?\nAnswer: 63420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133208693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - -1) + 1. Let l be (14\/(-21))\/(h\/96). Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/711900 and -46\/203425425?\nAnswer: 813701700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1664 - 0.1664. Is n less than -1.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - q - 3*q - 2*m - 26, -222 = 19*m - 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 36, 50, 80, 132, 212, 326?\n\"Answer: o**3 - o**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6149129234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**21*g**(-5) assuming g is positive.\nAnswer: g**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.7939444 - -13.206066. Let t = s - 31. Round t to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**39*(m*m\/m**6)\/(m**2*m) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = 0, -5*a + 72 = -5*t + 1297. Let o = 245 + a. Solve -3*b - b - 2*c - 22 = 0, 4*b + 25 = -o*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 3*f + f)*(-f - 5 + 5) - 11*f**2 + 18*f - 18*f to a + p*f + v*f**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/7 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105351 is divided by 162?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v + 31*v - 7*v + 2*v)*(-2 + 3 - 3)*(-5 + 3*v + 5) to the form j*v + h*v**2 + u and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*l = -43*l - 31680. Suppose -2*k + 4*k - 74 = -2*r, r + 59 = 2*k. What is the least common multiple of l and k?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 461a?\nAnswer: -4618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1527 + -873. Suppose -5*u - 104 = -b. Let f = -38 - -48. Calculate the highest common factor of f and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003218521 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -105.057?\nAnswer: -42.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4750, 4858, 4966, 5074, 5182, 5290?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.9 - 73. Let t = v + 6. What is the second biggest value in -0.5, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqt when four letters picked without replacement from {q: 3, t: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6855?\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 278400028 = -3*t. Let w be (-3)\/4 - (1 + t\/(-16)). Round w to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*b - 3 = -0*b, 4*v + 2 = 2*b. Suppose -l + 2 + 3 = v. What is the third derivative of -7*y**5 + y**2 + 0*y**l + 3*y**5 + 2*y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07231 + -3.84869. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127\/4 - -32. What is the nearest to 1 in c, -2\/15, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -32 + (0 - 0\/2). Let h be (-4)\/6 - r\/12. Suppose -h = -z + 31. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 166*y**3 + y + 838*y**3.\nAnswer: 1004*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -29.2993839 and -4.8483.\nAnswer: -34.1476839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from zuzzzuzuzuzzzzzutz.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/5, -2\/19, 1\/3, -88\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -217b0 - -1?\nAnswer: -217af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -70.459309.\nAnswer: 69.459309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10969.\nAnswer: 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*d**2 + 59*d**2 + 128*d**2 - 1055*d**2.\nAnswer: -1562*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -3166, -7507, -13688, -21709?\nAnswer: -31570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-1)*-4)\/(15\/30). Suppose -7*f = -p + 145. Which is the nearest to -1? (a) f (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/9 + 4*l**3 - 614*l**2\/3 + 1804*l\/9 = 0. Calculate l.\nAnswer: -41, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*z = 16, 2*z + 2*z - 4 = 3*y. Suppose -15 = -250*g + 249*g. Calculate the remainder when g is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x + 5 = 0. Suppose -4*u + 4 = 5*c, 0*c - 8 = -2*c. Calculate the least common multiple of 6 and 6\/2 + x - u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from {z: 2, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**3 - 7*a**2 + 7*a + 2. Suppose -13*f + 37 = -15. What is the hundreds digit of o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s - 3*s)*(0 - 4*s + 0 + (2 - 13 - 3)*(-3 - s + 3)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 + 5*h - 6. Let x be 3 - (-3 - 36\/(-3)). Let f be s(x). Suppose f*k = -2*k. Solve -4*m + 10 - 2 = k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let l be 108\/(-70 + -38) + 10\/4. Which is the closest to -1? (a) d (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(7 - 38 - 14) - 10 + 0 - 4)*(-2*k + 2*k + 4*k).\nAnswer: 304*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(76)*3)**2*6 + (sqrt(475) - -1*(0 + sqrt(475)))).\nAnswer: -24624 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690252 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**2 + 2*q**2)*(-5712*q - 7029*q - 11689*q).\nAnswer: -24430*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 8 - 11 + 13*t - 3*t. Let h = 3 + 1. Let j(r) = -r**3 + 4*r**2 + 2*r - 4. Let n be j(h). Calculate o(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 + 1 + 20). Let n = -15 - -19. Let a be 299\/n - 5\/z. Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**5\/70 + 5*i**4\/42 + i**3\/3 + 3*i**2\/7 - 5*i + 26. Let u(l) be the first derivative of p(l). Factor u(q).\nAnswer: 2*(q + 1)**2*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-7))\/((-1)\/(-14)). Let b = 7 + d. Let j = b - -15. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65189\/10 - -6526. Calculate the common denominator of (-2795)\/(-585)*3\/2 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/48935 and 107\/4530.\nAnswer: 44335110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (0 + 8 + -18). Let k(x) be the first derivative of -4 + 0*x - 1\/2*x**a. Let z(r) = 3*r. Calculate k(z(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 45. Let n be p(-24). Solve -3 = -0*i - n*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736304 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -3 (c) 0.06 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + v + 1 = 0, -4*v - 3 + 4 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1084 = 5*p, f + 1342 = 6*f - 3*p. Let b be (f\/95)\/(2\/20). Let u be (15000\/b)\/(2\/2240). What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96348218, -192696435, -289044652, -385392869, -481741086, -578089303?\nAnswer: -674437520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2 + 55*k - 7. Let j(n) = -6*n**2 + 56*n - 8. Let d(b) = 3*j(b) - 4*x(b). Determine d(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) -5 (c) -1\/4 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 59687\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 45*d**2 + 95*d + 5. Calculate t(-47).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2496*u - 1234*u - 4372*u + 1305*u)*(-3*u**2 + 6*u**2 + 0 + 1).\nAnswer: -20391*u**3 - 6797*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.218316 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000093477 rounded to 7 decimal places?\nAnswer: -0.0000935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -2\/13, -50, 2\/39, -0.2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 1}. What is prob of sequence lkl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*-7308981\nAnswer: 29235924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2344 (b) 4\/5 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from syrysylsssessesylgge.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3 = 0, -191*c + 9 = k - 187*c + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-92)\/92)\/((-10)\/4))\/(1*2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(2\/(-3))\/(((-52)\/(-117))\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -452, 5 in decreasing order.\nAnswer: 5, 0, -2, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36 in -672, 0.1, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2653982.\nAnswer: 5\/2653982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21677 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/594 and 155\/198?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b + 220. Suppose 4*x + 20 = 64. Calculate the highest common factor of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 3494198.\nAnswer: 38436178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 88*l - 86. What is the units digit of x(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 5*p + 3*p**2)*(-21*p**2 - 10*p**2 + 8*p**2) - p**4 - p**4 + p**4 to the form m*p**4 + a + q*p**2 + n*p**3 + d*p and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from klryyljd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -83. Let y(k) be the first derivative of -3\/2*k**2 + 4 + 5\/3*k**3 + j*k. What is the second derivative of y(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*2)\/sqrt(9) - (sqrt(1260) - sqrt(1260)*2))\/(sqrt(112) - (2*sqrt(112) + sqrt(112))*5).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*q - 3*x + 14 = -829*q, -5*q = -4*x + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 >= -0.41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 27*z**2 - 26*z + 61. Calculate q(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 - 8*h**2\/9 + 118*h\/9 + 28.\nAnswer: -2*(h - 7)*(h + 2)*(h + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 232725, 465455, 698187, 930921, 1163657, 1396395, 1629135?\n\"Answer: p**2 + 232727*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 782, 20 in decreasing order.\nAnswer: 782, 20, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 + 2. Let a be k(2). Put a, 5, -5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.2 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g = 2*t + 84, 4*t = -4*g + 72. Solve -g - 8 = -7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssscscscs. Give prob of sequence ss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 378 + -377.7. Let o = -5 + 4.2. Let t = o + -0.2. What is the nearest to t in 1, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/(-1))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 + 148.7. Let r = -777164389.69999973 + 777164384. Let h = l + r. What is h rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 - 18168.595733?\nAnswer: -17573.595733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12046 is divided by 208?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let q = 3 - m. Solve 0 = -q*p - 6 - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 8. Let z be h(4). Suppose -3*t + 7 = -z*t. Let b = t + 11. Calculate the greatest common factor of 28 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -211?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from brfyr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 - 2 = 0. Let c(z) = z**2 + 4*z**2 - 3*z**k. Let a(f) = 2*f**2. Let t(o) = -6*o**2. Let y(l) = 14*a(l) + 5*t(l). Calculate y(c(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26144 = 13*f - 26287. Solve w - 5*k - f = 0, -47*w = -43*w - 4*k - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from vvvvtvwvtvvtt.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/280 - g**5\/70 - g**4\/56 - 5*g**2\/2 + 3*g. Let o(f) be the first derivative of r(f). Suppose o(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 7 + 28 = 0. Solve -k*y - y = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 63*h**2 + 39*h + 50. Let n(w) = -21*w**2 - 13*w - 17. Let q(z) = -6*j(z) - 17*n(z). Let f(b) = -10*b**2 - 6*b - 5. Determine 13*f(t) - 6*q(t).\nAnswer: -4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s**2 + s - s + 19*s**2.\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -21, 1, 61, 171, 343, 589, 921?\n\"Answer: 2*z**3 + z**2 - 21*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5+24.63\nAnswer: 29.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 4:48 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3008 (b) 1\/5 (c) 23\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 - -3.4. Let i = -74 + z. What is i rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 142*j - 76. What are the prime factors of m(-41)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1137.36107 + 0.26107. Let j = p - -1071. Let u = j - -66. What is the closest to 2 in u, -1\/9, -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-514)\/8)\/((-21)\/168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {z: 1, y: 2, m: 4, n: 1, a: 1, s: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 5*t + 5. Let d be o(4). Suppose -2*u = -3*y + d, -3*u + 4*y + 32 = -7*u. Let x = -1 - -1. Which is the biggest value? (a) u (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8611*y**3 - 47*y - 78.\nAnswer: 51666*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 5*r. Let i(d) = 2*d**2 + 8*d. Let o(x) = -8*g(x) - 5*i(x). Let q(c) = 47*c. What is q(o(h))?\nAnswer: -94*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*b + 5*s - 9, -4*s = b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.902 - 0.098. Let p = t + 93. Put 2, p, 3\/5 in ascending order.\nAnswer: 3\/5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -3 in descending order.\nAnswer: 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.12 - -59.52. Let t = u - 51. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -207*s - 17. Let a be m(-8). Suppose 2*n + 2902 + 3654 = 4*b, -b + 2*n = -a. What are the prime factors of b\/33 + 2\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**2*u**3 - 29449*g**2*u**2 + 93*g*u**3 - 8085*u**3 + 28*u wrt u.\nAnswer: -6*g**2 + 558*g - 48510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*p = -52, 33 = 3*a + 3*p - 6*p. Is 8 a factor of (27 - 3)*-1*a\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 27 = -2*l. Suppose -48*t - 54*t + 1980 = 8*t. What is the remainder when t is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -10*o - 10*o. Suppose 0*t - 24 = -4*t. Calculate the remainder when o is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.029548 and -24.\nAnswer: -0.709152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/14467332 and 41\/1315212?\nAnswer: 14467332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2. Let h(k) = -1342*k**2. Determine m(h(u)).\nAnswer: -10805784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (333*30\/(-180))\/(9\/6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 130 = -89*u. Is u equal to 7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(-1*sqrt(28)\/sqrt(4)))**2 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23*u**3 + 2*u**2 - 21*u + 38. Is f(2) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 29. Let x(p) = -4*p + 15. Let o(t) = -2*q(t) + 5*x(t). Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g**3\/3 - 8*g**2 + 32. Factor m(i).\nAnswer: -2*i*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*u**3 - 234*u**3 - 499*u**3 + 0*u**2 + 0*u**2.\nAnswer: -1252*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 2*h**2 - 2*h**2 + 16*h**2 - 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -399 by -399.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -0.77 (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n**2 + 10883*n + 29*n**2 + n**3 - 10883*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24 = -2*d. Suppose 4*i = -2*t + 2 + 14, 4*t - 2*i = 2. Suppose g = -0*g - 5*h - 10, -g + t = h. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142080.4 to the nearest one thousand.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.004 - 0.004. What is the second smallest value in -4.4, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 269*r - 18981. What is y(131)?\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -541, -1038, -1699, -2518?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -387, -887, -1589, -2493, -3599?\n\"Answer: -101*m**2 + 5*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2172133732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30258 - 30256. Let z be (4 + -1 + -2)\/(-1). What is the nearest to z in -5, x, 0.076?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17538 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 19.911. Let z = u - -0.389. What is the nearest to -3 in -1, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose -3*q + y + 46 = 0, -2*q = -y + 268 - 300. What is the remainder when q is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from kwwiirkwgirwwriw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49202240.\nAnswer: 2, 5, 153757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 + x**2 - 5*x - 8. What is l(-3)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let y = 0 - z. Suppose 0 = -4*k - y*k. Solve 4*b + 20 = 0, -3*f - 31 = 5*b - k*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80063 + 968. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 - 11*y**3 - 38*y**2 - 52*y - 24 = 0. Calculate y.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -y + 29, 5*u = -2*y + 30. Let c = y + -25. Suppose 5*d + 8 = 4*s, 0*d + 2*d - 5*s + 10 = c. Let i(v) = v**3 - v - 2. Give i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9913 = -520515*z + 520946*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*d - 9 - 9, 0 = 4*d - s - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324114065?\nAnswer: 5, 1789, 371617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 17, -39, -1 in descending order.\nAnswer: 17, -1, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 12800?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 41 + 57)*(2*s - 5*s + 2*s).\nAnswer: -63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -11 + -10 + (28 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20876 - -20892. Calculate the highest common factor of 26416 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 136 - 3192 - 2321 + 669.\nAnswer: -2*h - 4980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -640 - 1100. Round l to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 52 = -4*u. Suppose -u = v - 2*b - 2*b, 1 = -v + b. Put -4, 0, v in ascending order.\nAnswer: -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 12) + 34\/(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owyyaqw. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 164644 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-8))\/(-8) + 1)*-2. What is the nearest to 1\/3 in -4, 3\/7, b, 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4))\/((-2)\/(-8)). Let m be 711*3\/(8 + z). Suppose 5*x = -5*k - 235, -2*k + 6*k = -5*x - m. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4913 - 5181. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-126)\/(-4)))\/(2\/(20\/(-6))).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 5. Let d(y) = 2*y + 7. Let s be d(a). Let j(b) = -5*b + 23. Let m be j(5). Put -4, s, m in descending order.\nAnswer: m, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -32.5. Let j = l + 8. Let o = j - -1.499932. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and -226694.3918.\nAnswer: -226694.4518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, e: 5, g: 2}. Give prob of sequence gegq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:59 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)\/((-1)\/(-3)). Suppose -j = -2*k - 2*k + 22, -k - j + u = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398144152 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360970*l + 360955*l - 36*l**2 - 721925*l + 104*l**2.\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23656363*w**3 + 6*w + 83720543.\nAnswer: 70969089*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2\/3*x**3 + 2\/3*x - 1\/12*x**4 - 2\/15*x**5 - 4 + 7\/6*x**2. Find r, given that h(r) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t - 18. What is j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1*(-312392)\/(-21 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -35*x + 40*x - 2545, -15 = -3*x. Is 45 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1198 - -1199. Suppose 0 = -3*f + 6. Which is the closest to -1? (a) -3\/8 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22922 divided by -146\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -5*d**4\/6 - d. Let t(m) = 2*m**2 - 3. Let y = 9 - 11. Let b(g) = g**2 - 2. Let w(x) = y*t(x) + 3*b(x). Calculate n(w(c)).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/12 + z**4\/8 - z**3\/3 - 1177*z**2. Let r(c) = -c**2 - 1. Determine -k(u) + 3*r(u).\nAnswer: 2*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235067 rounded to 3 dps?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/7 + 3846*v**4\/7 - 1547998*v**3\/7 + 177871154*v**2\/7 + 1548000*v\/7 - 177875000\/7 = 0. What is v?\nAnswer: -1, 1, 250, 1423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283785 to the power of 1\/2, to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5*t**8\/16 - t**5\/6 - t**3\/2 + 87*t**2. Find the third derivative of z(w) wrt w.\nAnswer: -6300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167 + (-4)\/(-4 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11723852 = 23447703\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 5*f + 7, -4*f = 2*l. Suppose -6\/7*d + 4\/7 + 2\/7*d**l = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -57, -171, -395, -765?\n\"Answer: -6*p**3 - p**2 + 5*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3. Suppose -y*d = -2*d - 45. Is 5 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 83927 and 3115.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131040 = -47916*s + 46980*s for s.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885 * -0.3.\nAnswer: -265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 93*h - 96*h = 77536, -96920 = -5*z + h. Round z to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/23)\/d)**(-4\/15) assuming d is positive.\nAnswer: d**(88\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/3 - 11*o**3\/3 + o**2\/3 + 11*o\/3 = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10502368?\nAnswer: 2, 109, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21864980.92 rounded to the nearest one hundred thousand?\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 2*o + 1. Let w(d) = d**2 - 1. What is -s(y) + 4*w(y)?\nAnswer: 2*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*m + 32, -2*m + 7 = x + m. Let c(r) = r**3 - 10*r**2 + r - 15. Let i be c(x). What is the tens digit of i + 39 + -1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 12:28 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Suppose 5*h = -5*j + 5, 4*j + 4*h - 7*h - 11 = 0. Let x(v) = -127 - 14*v**j + 250 - 123. Determine k(x(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 4*p - 6. Let d be t(6). Is 1147\/d + 3\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 13455216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4563.055 - -4563. Which is the closest to -2\/5? (a) g (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -125. What is the highest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41056 + -4?\nAnswer: 41052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003962 rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 2. Suppose -4*y - 4*b - 33 = -85, 2*y - 2*b = 6. What is the lowest common multiple of y and d(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -6. Let o = 70.13 - 75.13. What is the second biggest value in o, n, 47\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8567856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/2520 + o**6\/240 - o**5\/120 + o**4\/4 - 4*o**2. Let w(d) be the second derivative of k(d). Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 780 - 775.59. Let v = 0.41 - f. Which is the second biggest value? (a) 53 (b) v (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18550, -37101, -55650, -74197?\n\"Answer: d**2 - 18554*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4501\/867 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-12)\/x*x)*x\/(x*x**6) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:46 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from oooxoooooohoho?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45143 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmthuththh. What is prob of sequence th?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.031 (b) 172 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**2 + 1824*i - 7232 = 0?\nAnswer: 4, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (2 - 3\/1). Suppose 0 = -j + f - 3. Suppose 0 = -3*o - 3*c - 3, -4*o - 6 = -2*c + 4. Sort j, o, 1.\nAnswer: o, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:58 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 33*j**3 + 13*j**3 - 748*j + 439*j**4 + 9*j**3 + 11*j**3 wrt j.\nAnswer: 5268*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 9*q - 29*q + 12*q + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -302?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43012367?\nAnswer: 43012367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 1108*s - 23398. Calculate z(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30378 divided by -83.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 946843.1l?\nAnswer: 946843100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.02332 - 0.02332. What is the fourth biggest value in 1, g, 2, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (327\/1120 + (-254)\/889)*(-150)\/(-210).\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let a(m) be the third derivative of -13*m**5\/60 - 30*m**2. Calculate a(c(k)).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -640*s - 21776 + 7696 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 2490558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.379138 to 2 dps.\nAnswer: -9.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 + 19540*u**4 - 97444302*u**3 + 19455997540*u**2 - 991420481401*u = 0 for u.\nAnswer: 0, 103, 9667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/23)\/(s\/(s\/s**0))*(s\/(s\/s**(-2)))**46)**32 assuming s is positive.\nAnswer: s**(-67648\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26633.16ms to seconds.\nAnswer: 26.63316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -504 (b) 68 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g - q - 2 = -49*g, 5*q = 5. Let t = -46 - -44. What is the closest to g in -0.5, t, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11 = z + 2*y, -5*z = -3*y + 20. Let n be z\/4 - 2\/(-40). Let x = -53410.8 + 53411. Which is the closest to x? (a) n (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 3560\nAnswer: -121040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2*35\/14. Suppose 0 = d*b - 50 + 40. Solve 0 = 4*y + 10 + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:50 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1136 and 180908?\nAnswer: 723632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*u = -30*u. Let d(a) be the first derivative of 2\/21*a**3 + u*a + 33 + 1\/7*a**2. Determine x so that d(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 134. Let a = b + -77. Is ((-6852)\/(-48))\/(a*3\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86265340 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1250608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-54017)\/3040 - ((-18)\/10 - -1)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3466 (base 10) to base 8.\nAnswer: -6612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 17*c**4\/3 - 142*c**3\/3 + 75*c**2. Differentiate y(k) with respect to k.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7375\/2769 + 3\/923. Let i(v) = 10*v - 8. Let a be i(2). Find l such that a*l**2 - 28\/3*l - x = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bff when three letters picked without replacement from bzfffbbbffbfz?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 53, 49, 45, 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245\/3386 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -h + 3, -24 - 36 = -5*h - 4*q. Let v = -71 + 77. Let d be (3\/12)\/(v\/h). What is the closest to 13 in -3, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42022230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -364067\/45 - -8090. Find the common denominator of -13\/90 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f - 1. Let c be z(-4). Let h be ((-6)\/4)\/((-6)\/(-32)). Let a = c - h. Solve -2*y + 3*y + o = 2, -a*y + 3*o = 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3059893.366 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 667883347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31354 divided by -257?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 15*z**2 - 15*z + 20. Let c be t(14). Suppose c*m - 5*f = 4*m + 15, -3*m = 4*f - 11. Sort 2, -11, m in descending order.\nAnswer: m, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6 + 2*g**5 - 4*g**3 - 8*g**2 - 48*g + 3.\nAnswer: 120*g**3 + 120*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139823729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14)*-4*378\/108. Which is the second smallest value? (a) -0.1 (b) 16 (c) y (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) 5 (c) 2\/39 (d) 2\/9 (e) 24\/5 (f) -25\/2 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162184035*g**6 + g**2 - 1408*g - 227 wrt g?\nAnswer: -19462084200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + l, -3*p - 2*l = -0*l - 3. Let y = 13.7 + 0.3. Let h = y + -13.7. Which is the nearest to p? (a) 4 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -y - 4*y - 20, 2*d + 4*y = -10. Let h(o) = -3*o + o**2 + 1 + 2 - 8. Let p be h(5). Solve -p*n + 9 = -2*l, -d*n - 5 = -20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5167 + -8042098925?\nAnswer: -8042104092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/(l\/(l*l**6\/l)))\/((l*(l\/(l\/(l*l*l**(5\/3))))\/l)\/l**0) assuming l is positive.\nAnswer: l**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 7*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 9 = 2*j, -29 = -3*x - 13*j - 23 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -266026*z + 266037*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/(143\/12298)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 17 = 3*r, x - 4 = 2*r - 2. Let t be 0\/(-1)*(-8)\/(-16). Solve t = x*q + 5*s - 25, 0*s + s - 11 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/6 - -19\/3. Suppose 0 = -10*t + 5*t - 5. What is the closest to v in t, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 22838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 11*c + 285. Give z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -18. Which is the third biggest value? (a) t (b) -15 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 5*b + 0*b)*(-b + 4*b - b)*(-651 + 106 - 208 - 136) to a*b**2 + r*b + h and give a.\nAnswer: 3556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4585 = 14*j - 1827. Let w = j - 456. Sort -9, -1, w, 1 in descending order.\nAnswer: w, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**11\/i*i))\/(i*i**(2\/23)))**(-33) assuming i is positive.\nAnswer: i**(8415\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erreerrrrrerer. What is prob of picking 2 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*f + 3 + 3 = 0, 2*f - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-20)*n**8*n assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 7. Let j(d) = 1 + 0*d**3 - d**3 - d - 3*d**2 + 4*d**2 - 5*d**2. What is the remainder when y(-6) is divided by j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -4.1, 18805, 2 in increasing order.\nAnswer: -4.1, -0.08, 2, 18805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + u + 48, g - 5*u - 79 = -28. Solve g*y - 68 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37835 and 269780?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**2 + 4 + 2 - 2. Let l(o) = 2*o**2. What is l(i(y))?\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 21*s + 21. Calculate the least common multiple of m(-8) and 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = 3*r. Solve r*p = 12, 3*p = 3*i + 4*p + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/9 and -37\/16414.\nAnswer: 147726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 24*o - 14. Suppose 0 = -b + 2 - 0. Suppose b*t = 64 + 48. Calculate the highest common factor of t and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-18) + 23\/3. Suppose s + f = 3*s. Solve 2*t = 4*w - 2, 5*w - s = t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:02 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4703230?\nAnswer: 2, 5, 7, 67189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 137 + -1030 + 797?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zevvvvveezeevvevvv. Give prob of picking 1 e and 3 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 108. Let z = q + 0.6. What is the fourth biggest value in z, 3, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, g: 3, c: 1, d: 2, r: 1, o: 3}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/4 + 415*a**4\/3 - 1670*a**3\/3 - 1761*a - 1. Suppose g(d) = 0. Calculate d.\nAnswer: -334, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93314245 is divided by 118269.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**5 + 1223*h**4 - 11*h**3 + 47850*h**2 - h wrt h?\nAnswer: 240*h**2 + 29352*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:44 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262990567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5)*p)\/p**(-4))\/(p**(-1)\/p)**43)\/((p\/p**(-1\/3))**47\/(p\/(p**(1\/2)*p*p)*p*p**(1\/5)*p)) assuming p is positive.\nAnswer: p**(721\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + -0.03. Put c, 0.2, 0.1, 2\/5 in increasing order.\nAnswer: c, 0.1, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - c - 36 = -12*g + 7*g, 0 = -2*g for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29869632 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111084 and 312.\nAnswer: 2888184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 20 - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10*x - 32*x - 52*x)*(0*x + 2*x + 0*x).\nAnswer: -188*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767317148 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -12559.\nAnswer: -213503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*q**5 + 237*q**5 + 104*q**5 + (2*q - 5*q + 5*q)*(-2*q**4 + 3 - 3).\nAnswer: 374*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*v - 2, v = -3*q + 6 - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -14*y + p - 11, 10 = -4*y + 6*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.23 + -4.13. Let b = -10 + z. Round b to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2565269140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -44, -93, -182, -323?\n\"Answer: -2*i**3 - 2*i**2 - i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 55245149?\nAnswer: 276225745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5381.21 nanometers to millimeters.\nAnswer: 0.00538121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 2, p: 1, a: 4, o: 5, q: 2}. What is prob of sequence oaqs?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 r when three letters picked without replacement from {i: 1, r: 8, x: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 greater than or equal to 164539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001111000 (base 2) to base 4.\nAnswer: 1101320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*v - 0*v + 29, -4*v + 21 = m. Is (-828)\/(-10) - m\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1322122 + 42340?\nAnswer: -1224232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)\/(140\/50 - 3). Solve -l = -f + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.1 + -18. Which is the nearest to -3\/4? (a) k (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*u = -337, -166 = 2*v - 4*v + 2*u. Does 7 divide (-2)\/3 - v\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29516 is divided by 7196.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 10*b + 5929. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.049 + -13.049. Let h = j + 12.1. Which is the second biggest value? (a) 0.3 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 33, 10 in ascending order.\nAnswer: -3, -1, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20) + 1015\/350\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 7. Let t be g(-5). Suppose 0 = -5*x - t*w - 0 - 6, -5*w + 14 = -2*x. Let b(o) = -o. Let m be b(-2). Put x, 3, m in descending order.\nAnswer: 3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*p - 1 + 164*p + 80*p + 250*p + 1 - 560*p.\nAnswer: 109*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22212, -22331, -22452, -22575, -22700, -22827?\n\"Answer: -y**2 - 116*y - 22095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*s - 9544, -3*s = 5*z - 22130 - 1723. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -336 in 1, 6, 1.54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**7*w)\/w*w)**(-9)*w**(-3\/5)*(w*w**(1\/4)*w*w*w)\/w)**(3\/4) assuming w is positive.\nAnswer: w**(2319\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 16. Let s = 13 - 8. Solve m = -4*q - t - 5, s*t - 4 - 3 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*x. Let h be (-3 - -3)\/(4\/2). Let r be 0*(h + (-2)\/(-4)). Put x, r, -1 in ascending order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 6)*1*2*10. Let t be 4 + 32\/v - (-8)\/(-20). Solve -t*k - 3 = -2*b - 5, -8 = -5*k + 2*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75654617.\nAnswer: 75654617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8*r**3 + 10*r**2 + 12*r**2 + 13*r - 22*r**2 to f + w*r + b*r**2 + h*r**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20520 = -1219*z + 364*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 8 - 52. Calculate the remainder when 26 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - x = 542, -22*x = 5*t - 24*x - 2701. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (-19 - -24) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**2 - 3*n - 4. Let z(f) = -f + 1. Let l(u) = 2*u - 2. Let h(s) = -6*l(s) - 11*z(s). What is 4*g(k) + 10*h(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7343, 14668, 21981, 29276, 36547?\n\"Answer: -x**3 + 7332*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3 and 54695\/(-44580) + 140\/112.\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*a + 7520004, 2*c - 5*a = -a + 3760004. What is c rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 - 277. Which is the biggest value? (a) -3.2 (b) 6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from oooooooqooqoqooo?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:34 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:42 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.5 + 37. Let d = 9 - 12. Let a = -7\/5 - -26\/15. What is the closest to d in a, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 10, -1, 1, -5, -19, 5 in descending order.\nAnswer: 158, 10, 5, 1, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3))\/2 + 48. Let n be 208\/r + (-1)\/3. Solve 5*t - 25 = -3*h, -4*t + t = -n*h + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2903*l + 2902*l + 31 = -3*c, 3*l + 39 = -2*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*w - 38 = 0, 2*j + 3*w = -2*j + 39. Suppose 5*h - 5*p = -20, h - p + 20 = 4*p. Let l(a) = -a**2 + a. Let n be l(h). Solve n = -j*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*h + 45*h + 2*h - 153 = 0. Let t(r) = -5*r**2 - 7*r - 5. What is t(h)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from dkdkydkykdk?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**2 - 118*c**2 + 43*c**2.\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 18. Let l = -204 + 213. Let a be l + g\/(-3)*-5. Solve 6*r - a*r = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*p - 24, m + m = p + 4. Suppose w - m = 5*w. Let r be ((-66)\/(-27) - w) + -3. Is r greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -0.73, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:28 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/11, 0.3, 16 in decreasing order.\nAnswer: 16, 1, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1045271 and 119\/3110?\nAnswer: 10452710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15. Suppose 3*s - 207 = -q*s. Suppose -3*u = -0*u - s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/10)*x**3*x**(-11)\/(x*x**(1\/2)\/x) assuming x is positive.\nAnswer: x**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31*a**2 + 37*a + 199. What is the hundreds digit of u(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 17*b + 35. Let r be p(-7). Let t = -36 - r. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-15) - 74\/(-10). Let r be 2 + 3 + h + 2. Solve -6*c = -c + r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*r + x - 3, -3 = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - h + 10 = 0, 4*u = 72*h - 77*h - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 441258 = 26*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8181 and 0.5.\nAnswer: 8181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -55. Let h = 29 - q. Which is bigger: h or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*f = 2 + 10, 8 = 5*m + 2*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 104*k - 1 = 108*k, -4*x + k + 24 = 0. Let m = 15 - 11. Solve m*p = -2*j - 2*j + 4, -j + x*p + 19 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 25*p + 31. Let x(g) = 2*g**2 - 12*g - 15. Let o(f) = 3*m(f) + 5*x(f). Let a be o(-14). Is a != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdudwwddu. What is prob of picking 4 d?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 582484711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 - 276*c**3 - 25794*c**2 + 224532*c + 250047 = 0.\nAnswer: -63, -1, 9, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23971?\nAnswer: 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 = 3*u, 4*u + g - 2*g + 10 = 0. Let k be ((-4)\/(-5))\/(u\/(-15)). Determine s, given that 2\/3*s**2 + 4\/9*s**3 - 8\/9*s - 2\/9*s**k - 8\/9 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 16. Let o(f) = -f**2 - 3*f - 2. Let t be o(-2). Let i be q(t). Suppose -29 = -5*x + i. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -573\/2 - -252. What is the common denominator of 41\/10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 + 14*q + 51. Let a be w(-7). Solve -36 = a*j - 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 17 = -q, -4*m + 3*m + 5 = 0. Suppose h = 2*g - 16, 0 = 3*g + 2*g - h - 37. Suppose 0 = -4*a + g*a. Solve -6 = q*p, a*w - 4*w = 2*p - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12730504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 9*l + 10. Let p be x(5). Suppose -3*q - 3 = -p. Suppose 3*w - 7*w + 2*r = -2, -w + r - 1 = 0. Sort q, -5, w in increasing order.\nAnswer: -5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + s**2 + 3*s + 3. Let r(m) = 29*m**3 - 4*m**2 - 12*m - 12. Let g(o) = 2*r(o) + 9*u(o). Let k be g(-1). Solve k*y = y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.51 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 12*y**3\/7 + 6*y**2 - 24*y + 72\/7 = 0.\nAnswer: -6, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122595*c**4 - 49508*c**2 wrt c.\nAnswer: 2942280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.66, 3\/7, 20, 44, -1\/4, 0.9, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38*y. Let s(t) = -325201*t. Give s(j(q)).\nAnswer: -12357638*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -121\/1701?\nAnswer: -121\/1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**3 - 1728365*y**2 + 2304465*y - 576115 = 0. What is y?\nAnswer: 1\/3, 1, 115223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 522?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-260)\/(-50) + 2\/(-10). Let z(j) = -j**3 + 5*j**2 + 2*j - 7. Let y be z(r). Let o(x) = -x**3 - 2 + 2*x + y*x**2 - 2*x - 3*x. Give o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u**(2\/7))**(-29)\/(u\/(u*u**(2\/11))*u**1*(u**(-1\/3)*u)\/(u*u*u**(4\/7)*u)) assuming u is positive.\nAnswer: u**(22493\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6463339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Suppose 16*y - 28*y = -53*y + 1476. Calculate the lowest common multiple of y and 288\/21 + f\/(-14).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/120 + w**5\/10 + w**4\/12 - w**3 - 2*w**2. Let z be g(6). Solve 0 = -3*x - 0 + z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 147286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*q**3 - 437*q?\nAnswer: -2610*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 219*i**2 + 102720*i + 4208. What is v(-469)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5)*(-1 + 5 - 3)*(-11*p - 25*p + 65*p) + p + 4*p + 0*p.\nAnswer: 150*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*b = -77*b - 4439 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {b: 2, x: 5, e: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 - 603*g**4 + 3903*g**3 + 36567*g**2 - 15564*g - 136620 = 0. Calculate g.\nAnswer: -207, -5, -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188\/17 or -11?\nAnswer: -188\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**4\/12 + 4*c**3\/3 - 3*c**2\/2 + 11*c. Suppose 0 = 5*m - 6 - 19. Is d(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18147 - 17816. What is the remainder when 923 is divided by r?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 5)*(8*r + 5*r - 4*r) - 10*r - 13*r + 39*r)*(3 - 2 + 7)*((-3*r + 3*r + 2*r)*(5 - 3 - 1) + 2*r - 3*r + 2*r).\nAnswer: 816*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 81*y - 138*y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/36 and -143\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - 27\/(-3). Let o = 1 + y. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6027?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6594 divided by -314\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 220 = -22*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/7, 14, -0.1 in increasing order.\nAnswer: -2\/7, -0.2, -0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 77*w + 1390. What is c(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awwr when four letters picked without replacement from {w: 6, r: 1, b: 2, a: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from ghggghhghgg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4598 + -4598.1. What is the nearest to 762 in 0, -6\/11, -1, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0948356 litres in millilitres?\nAnswer: 94.8356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 244\/4793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d - 28. Let u = d - -70. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2085832370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*156\/273*(21\/(-2))\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8921254 is divided by 551.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/16 in 0.3, 2, -0.6, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2200?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 796.0746 millilitres?\nAnswer: 0.7960746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -3*k - 2*n - 2*n, 0 = -k + 5*n + 68. What is the greatest common factor of k and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.049 in -3\/2, 28, 4, 14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(20\/12) - 1. Sort -5, -2, v in decreasing order.\nAnswer: -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/3 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + x - 6 = 0, 5*m = 2*x + 386 - 410 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -0.2 (c) 391 (d) 0.179 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4899, 9771, 14655, 19557, 24483?\n\"Answer: x**3 + 4865*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290826, -5163297, -11617418, -20653189, -32270610, -46469681?\nAnswer: -63250402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -23*u**3 - 3*u**2. Let c(b) = -b**2. Give -3*c(k) + w(k).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:49 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -130. Suppose -2*o + v*r = -1773 - 7241, 0 = 3*o + 4*r - 13541. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258865319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -2094, -6989, -16508, -32193, -55586, -88229?\nAnswer: -131664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4049, -2574, -19869, -47836, -86475?\nAnswer: -135786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 5*j**2 + 9. Let t(f) be the third derivative of -f**6\/24 - 2*f**5\/15 + 7*f**3\/3 + 63*f**2. Calculate 8*n(l) - 5*t(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10622596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 54, 3040 = 4*q - 3*o + 3074 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 4)*(-1)\/2. Let i = d + 6. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2695872, 2695840, 2695808?\n\"Answer: -32*t + 2695904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6 - 754\/870)\/((-22)\/110)*10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277, -3, 1, 4, 7 in increasing order.\nAnswer: -277, -3, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846257 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16770 is divided by 5510.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 84 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-15) - 342\/(-1260). Put s, 0, 2\/5, -2\/9 in increasing order.\nAnswer: -2\/9, 0, s, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2421 - 2421.2. Sort 2\/57, 1\/2, 4, j in increasing order.\nAnswer: j, 2\/57, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u + 519 = 0. What are the prime factors of u?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-57 + 32) - (25 + -3 - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 6, n: 4, j: 2, q: 3, w: 3}. What is prob of sequence un?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(-5*(-2 + 0 + sqrt(275) + 2) + -1))**2 + 1.\nAnswer: 800*sqrt(11) + 110015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) + (-24)\/(-13). Suppose 0*t - 3*t + 12 = -z*f, 2*t + 5*f = 8. Suppose -3*i + 0*i = l - 9, -t*l + 2*i = -50. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u. Suppose 22*n = 18*n + 4. Solve p + n = -u*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*b - 58*b - 2*s - 4, 3*s + 26 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = p - f - 85, 4*p - 3*f - 58 = 0. Calculate the remainder when 197 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16 + 132 - (-5)\/((-15)\/(-18))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-5)*v)*v*(v**(-2\/25)\/v)\/v*v assuming v is positive.\nAnswer: v**(123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 131*j - 13. Suppose 0 = 58*s - 41*s - 510. What are the prime factors of p(s)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*q - 83*q + 17*q**3 - 27 - 19*q**3 to the form a*q + v*q**2 + d*q**3 + k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*c + 119 = 0, 128 = 7*p - 2*p + c. Solve 4*o + p = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmvd when four letters picked without replacement from vmvd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f**2 + 48*f + 325. Is w(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 379, 763, 1153, 1549?\n\"Answer: 3*w**2 + 375*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3911 + -1226. Suppose -7*u + k = -16754. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-5)\/(-10))\/1). Let z be -1 + o*(-4)\/((-32)\/(-12)). Let r = -0.1 + 1.1. What is the second biggest value in 2\/3, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20133438 divided by 6?\nAnswer: 3355573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334480967 + 334480982.6695389. Let b = h + -15.95954. Let j = b + 0.29. What is j rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 4*l**2 + 20*l + 3. Let x be j(-3). Calculate the highest common factor of 116 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:49 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22927*x + 183341. Give n(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 + 8*i + 9. Let x be o(10). Solve -7 = -5*j + x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 - w**5\/4 - 17*w**4\/24 + 19*w**3\/6 + 4*w**2. Let t be n(16). Solve x = 3, -27 = -t*i - x - 3*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c + 36*c - 22*c. Let m(g) = -2*g - 20. Give b(m(u)).\nAnswer: -2*u - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 + -5)*(-25)\/15. Suppose -b*n + 2511 = -8*n. What is the least common multiple of 15 and n?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 7. Let l(m) = m**3 - m - 1. Let q be l(2). Give s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 808 - 559. Let o = 111 + -97. What is the remainder when i is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/(-2)*(-1036)\/(-518)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 0*h)*(-4 + 4 - 2*h + (2 + 1 - 2)*(-1 - h + 1)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiik when four letters picked without replacement from ikfikkiikkfkikikik.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89841 divided by 3?\nAnswer: -29947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34310 and 22518310.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -9. Let a be (-676)\/(-78) + (-9)\/1. What is the nearest to a in w, -0.7, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3)*(-3 + -6). Let k be 3 - (3 + 2 + f). Let u be (-3 - (-72)\/21)*(9 + -2). Sort 2, u, k in increasing order.\nAnswer: k, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*x**2 - 15*x**2 - 122 + 122 in the form h*x**2 + m*x + f and give h.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 + 31*i - 7. Let s(p) = 5*p**2 - 32*p + 13. Give -3*o(v) - 2*s(v).\nAnswer: 2*v**2 - 29*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/30)\/(1\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 6*g + 54. What is x(5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/o*o*o\/(o\/(o**(-2\/47)*o))*o)**(15\/4) assuming o is positive.\nAnswer: o**(925\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbsmmnsabssssnassbbb. What is prob of sequence bbss?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3196 in descending order.\nAnswer: 4, 1, -3196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13120203310 (base 4) to base 3\nAnswer: -10122100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50680 (base 9) to base 6.\nAnswer: 414243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - 14.74. Let i = y - -15.13. Let p = -0.37 - i. Put 4, 0, p in decreasing order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)*-2)\/sqrt(3) + (sqrt(432) + 0)**2)*-3*1 + 5 + -4.\nAnswer: -1295 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16 - 5)\/(-7))\/(2\/(-1)). Let d be (-1)\/(-4)*16\/(-6). What is the third smallest value in 0.1, o, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 10\/9 (b) -1 (c) 116 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-104))\/(2\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 2 + 1 - 6*o - 4. Let h be u(-3). Suppose h*m - 8 = m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*-1*(660\/(-792))\/(119\/168)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59115, -118176, -177273, -236424, -295647, -354960?\nAnswer: -414381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14848, 14847, 14846, 14845?\n\"Answer: -z + 14849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762691366.\nAnswer: 2, 17, 149, 150551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*n - 754*n + 108 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 6*n + 15. Let s(p) = -3*p**2 - 5*p - 13. Let q(h) = -4*k(h) - 5*s(h). Let d = 3 + 0. Let b = d - 3. What is q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471790?\nAnswer: 2, 5, 11, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 6094 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240 - -23?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 27. Let r be (4\/k)\/(8\/52). Let d be r\/(-52) - 2\/8. Which is the second biggest value? (a) d (b) -2\/7 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 - (-14 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -50 + 77 + 17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2619\/(-3492)*((3\/42)\/(12\/24))\/1?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/(n\/(n*n**(-32)*n*n)*n))\/(n**(-2\/17))**(-47) assuming n is positive.\nAnswer: n**(-706\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7725.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 652 - 245?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + -5 - (-43 + 21)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u - 151. What is v(-29)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 4 + 0 - 1 - 4. Suppose -y + 8 = -3*y. Let g be (-58)\/(-8) - y\/(-16). Let q(p) = 5*p - 3. Give g*h(w) - 3*q(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -148 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from flbloyr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4559, -9131, -13725, -18353, -23027, -27759, -32561, -37445?\nAnswer: -42423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 - 8*m**2 + 2*m - 3. Let o(d) = -12*d**3 - 15*d**2 + 5*d - 5. Let p(g) = -3*o(g) + 5*t(g). Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12*x - 10*x = -6, 4 = 2*m + x. Differentiate 238971*u**m - 93 - 238971*u**2 + 5*u**3 with respect to u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.1 - -9. Let v = -14.8 - -2.8. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3 + b**2 + b - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:12 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -1.58.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 53*d**2 + 25*d - 1381. Calculate z(53).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -13*k**6\/30 + k**4\/6 + 8*k**2 - k - 42. Find the first derivative of j(x) wrt x.\nAnswer: -52*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1139 * -37\nAnswer: 4.2143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let g = -31.7 - -31.3. What is the third biggest value in c, 1, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 30. Suppose 40 = 3*r - n. Let l = -5420 + 5500. What is the greatest common factor of r and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f**5 + 10*f**4 - 12*f**2. Let u(y) = 30*y**5 + 20*y**4 - 26*y**2. Let j(a) = -13*n(a) + 6*u(a). Find p, given that j(p) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8.3. Which is the second smallest value? (a) 1\/3 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 1 + 1 + -3. Suppose -w + 36 = 3*o - d*w, -o + 4*w + 12 = 0. Calculate the remainder when 58 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 4*b = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 5, -1\/4, 0.1, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389048 = 4*w + 2*k, -5*k = 2*w + 43956 - 238496. Let g(i) = -97260 - 2*i + w. Let o(p) = -99*p + 1. What is g(o(v))?\nAnswer: 198*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1361, 6, 2, 1, 7 in increasing order.\nAnswer: -1361, 1, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0, -1, 0.5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/12 - (-1)\/(-2). Suppose -3*v = 2*b - 9, -5*b - h*v + 8 = -11. What is the third derivative of 3*j**2 + b - 3*j**3 - 6 + 3 wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (488\/12)\/((-4)\/(-6)). Suppose 5*d = -1 + v. What is the highest common divisor of d and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:15 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169668?\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 654 + -669. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1608 and -19\/54.\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57934?\nAnswer: 2, 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 + 4*g - 24 + 7 - 8*g**2 + 9*g. Is c(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1401 (base 12) to base 10.\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82355660 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 290688641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1827\/(-540) + (5 - 1). Let h = -6689\/12 + 557. Let j = x + h. Which is the third biggest value? (a) -1\/2 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 6*n - 2. Let r be (-4)\/(-3)*(-9)\/2. Let s be k(r). Sort -4, -5, s.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Let o = 82 + -87.12. Let v = o + 0.12. Which is the biggest value? (a) 1 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:05 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 3*a + 6. Let d be f(-5). Which is smaller: -1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(11 + (-21)\/(252\/128)). Solve -6*m**4 - h*m + 33\/2*m**3 + 0 - 15\/2*m**2 = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18531.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -314*p - 1. Let r(o) = 1569*o + 4. Let a(q) = -2*r(q) - 11*s(q). Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -21*w + 58259. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-273210)\/(-26020))\/(7\/(-36))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4156 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420504 by 8.\nAnswer: 52563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7611 - 0.2611. Which is the closest to 0.5? (a) -1\/8 (b) t (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**4 + 0*x**4 + 2*x**4)*(103 - 34 - 42 + (-1 + 4 - 2)*(3 - 5 + 1)) to q*x + k*x**2 + v + f*x**3 + b*x**4 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**7\/840 - a**4\/8 + 2*a**3 + 1. Let m(l) be the third derivative of t(l). Differentiate m(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 8*m**2 + 3*m - 12. Let r = 24 + -16. Let t be z(r). Let p be 76\/(-120)*-6 - (-3)\/15. What is the highest common divisor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -39, -14 in descending order.\nAnswer: -1, -2, -14, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q + 32. Let h be a(2). Solve h = 4*d - d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151 in -4, -562, -2, -1\/5, -3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 141, 143, 145, 147?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -420*c**3 + 2*c**2 - 591. Let b(o) = -210*o**3 + o**2 - 297. Let y(z) = 9*b(z) - 4*m(z). Find the first derivative of y(t) wrt t.\nAnswer: -630*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -12, -91, -284, -639, -1204, -2027?\nAnswer: -3156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -3a?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12709.38 centimeters in meters?\nAnswer: 127.0938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 6 - 1 - 8*v**2 - 7*v + 3. Let m be n(-7). Let o = m - -7. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**5 + 84*i**4 + 75*i**3 - 102*i**2 - 72*i = 0. Calculate i.\nAnswer: -4, -2, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 85 + n**2 - 42 - 43. Let b(p) = 2*p. Let d(l) = 2*l. Let g(u) = 4*b(u) - 5*d(u). Determine o(g(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkexlxeeeekxegxgx. What is prob of picking 1 x, 2 k, and 1 l?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(2*sqrt(9)))\/(sqrt(196) - sqrt(196)*-2).\nAnswer: sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 0.4. Let j = 0 + 0.5. Let p = -0.87 + 0.37. What is the second smallest value in p, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + 1 - (-23 + 32 - 16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiwppppepwkpwpeekp. Give prob of picking 2 p.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-16\/5)*(b\/(b**7\/b*b))\/(b**2*b*b)*(b**1)**27*(b*b**(-1\/2))**40 assuming b is positive.\nAnswer: b**(201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6. Let x be i(-6). Suppose x = -21*l + 16*l. Let b be l\/(-4) + 8\/16. Sort b, -2, -0.02, -0.4 in descending order.\nAnswer: b, -0.02, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 + 82*i**5 + 15*i**4 + 225*i**2 + 16*i - 1 wrt i?\nAnswer: -240*i**3 + 4920*i**2 + 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036337 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, z: 1, j: 2, m: 3}. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 8, k: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 130, 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -4.\nAnswer: 111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531631\/270 - 1969. Find the common denominator of 133\/54 and x.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.002 - 66. Let x = g + -6.002. Is -0.6 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v = -1268. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 9 + 4)*(-2*z + 3 - 3) + (3 + 6 - 5)*(4*z - 5*z - z).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + (-15 + -9 + 15 + 14 - 5)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*(-13)\/(26\/3). Suppose 0 = k + 4*k - 815. Let v = k + -1469\/9. Which is the closest to -4? (a) h (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 785913 and 165.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 2323*w**4\/12 + w**3\/3 - 2307*w**2\/2 - w - 525. What is the derivative of x(o) wrt o?\nAnswer: 4646*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 5*c = 9*c - 32, -2*c = -5*b - 3*c - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41940 < -41941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2. Let n(k) = k**2 + 19 + 11 - 27. Let f(c) = -c**2 + 7*c - 7. Let o be f(5). Let p(t) = o*i(t) - 2*n(t). Let y(s) = 2*s**2. Give y(p(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 665871*p**2 + 2663496*p - 2663500 = 0 for p.\nAnswer: -665875, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 489456 divided by 11?\nAnswer: 44496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/220 and -49\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(6\/5))**(2\/11) assuming a is positive.\nAnswer: a**(-2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*f - 11 = -3*f, 0 = 2*k - f + 1. Suppose -k*x = -4*a + 1146, 4*x = 4*a - 8*a + 1152. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -5. Let g(o) = o**3 - 8*o**2 - 11*o + 55. Calculate the remainder when t is divided by g(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - 0 - 446\/(-111). Suppose -10*p + 15*p - 250 = 0. Let q = p + -51. Is c less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**5\/3 - 16*z**4\/3 - 16*z**3\/3 + 8*z**2\/3 + 20*z\/3 + 8\/3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:21 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 1, d: 1, j: 1, z: 1}. Give prob of sequence jznm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 414299250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 108*m**3 - m**2 - 2*m - 1. Let p be q(-1). Let v = 431 + p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 2439790?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from jejokjjeenojnjobjjj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 43. Solve 11*c**u + 4*c**3 - 26*c**4 - 4*c + 13*c**4 + 2*c**2 = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*f + 9*f - 1216. Suppose 693 + 1995 = f*d. Let q be (36\/(-10))\/((-6)\/20). What is the highest common factor of d and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.641188ng?\nAnswer: 0.000006641188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4257.72 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*x = 149 + 63. Sort x, 3, -4, -9 in increasing order.\nAnswer: -9, -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(78)\/((sqrt(6) - sqrt(18)\/sqrt(3)) + sqrt(6) + sqrt(6)) + 5.\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:37 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2295\/45 - 54)\/(1\/(-11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = i - 5*i - 3*m, -4*i = -5*m - 19. Let w be (i\/(-4))\/(6\/(-16)). Is w + 6*(-8)\/(-12) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 40 = 28*b + 83 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0256 + 930507042.\nAnswer: 930507041.9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228 + 228. Let b(q) = q**2 + 4*q + 4. Let p be b(-2). Let r be (2\/4 + p)*10. Solve y = 5*h + r*l + 11 + 14, 0 = 4*h + 3*l + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -288 (b) 48 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + 87*(-27)\/(-180). Let v(d) be the first derivative of -n*d**4 - 16\/5*d + 4 + 7\/15*d**3 - 4\/5*d**2. Factor v(g).\nAnswer: -(g - 4)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 27. Let d = 85 + l. Let y be (d\/(-10))\/(5\/(-125)). Solve -2*g + y = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 9) in base 8?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3682900 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:38 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 + h + 2. Let i be u(-2). Solve i = -0*r - r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 11:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 - 288. Solve 4*f + 1 = -o, 5*o = -5*f - 0*o + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 2*g - 4. Let b be s(-4). Solve 0 = -2*r + h - 4*h - 12, b*r - 3*h = 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/21333 and -43\/16410.\nAnswer: 213330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f - 3. Factor c**f + 0*c + 3*c - 4*c.\nAnswer: c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760259 to the power of 1\/2, to the nearest integer?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*d**3 - d - 192*d**2 + 203*d**2 - 51*d**3 + 4 in the form u*d + b*d**2 + s + k*d**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 33*p**4 + 6*p**3 + 314*p + 21924. Let o(y) = -5*y**4 - y**3 - 52*y - 3654. Let v(g) = 2*n(g) + 13*o(g). What is the derivative of v(u) wrt u?\nAnswer: 4*u**3 - 3*u**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - 7*p**2 + 3*p**2 - 26*p**3 in the form d*p**3 + v*p + k*p**2 + s and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0287745135 rounded to six dps?\nAnswer: -0.028775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/47, 3, -2, -0.1?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*g + 47, 3*l - 38 = -2383*g + 2387*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 156*r + 504 = 0.\nAnswer: -3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2302 and -95\/370516.\nAnswer: 426463916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -29. Suppose -1 = 5*q - 2*v - v, 0 = -i*q + 2*v - 1. Let m(b) = -q - 1 - 3 - 4 - b. What is m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from ysm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/64 - (-483)\/24. Let i be (64\/l)\/((-6)\/(-135)). Suppose -6*o - i = -4*n - 3*o, 2*n = 5*o + 22. What is the remainder when 40 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3 + 11 + -116. Let q = b - -111. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 2*y**2 - 10*y + 6. Let z be n(4). Is 3 + (-399)\/(-1 + z) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -18\/25723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -5307 and -5301 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 264674528385.\nAnswer: -264674528385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20882\/11 + -1900. What is the common denominator of (-6)\/(-3)*82\/40 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6086075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39604?\nAnswer: 2, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 33373140 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/198509 and 59\/992545?\nAnswer: 992545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83802288 less than 28?\nAnswer: -83802260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:24 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from llhlhvlvh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1133033)\/(-23987) - (47 + 0).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 48*f - 291. Does 47 divide v(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**2 - 7*w**2 + 10116*w**3 + 22*w**2.\nAnswer: 10116*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083946446 rounded to six decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -34*t + 43. Let z(g) = 81 + 5 - 24*g - 45*g. Let v be (27\/4 - -2) + (-1)\/(-4). Let m(x) = v*h(x) - 4*z(x). Differentiate m(o) wrt o.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 22 = -5*s. Let k be ((-5)\/20 + 6\/s)\/(-1). Let h = k - -7. Solve 6*g = 2*g + h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 6*f**3 - 4*f**3)*(-478 + 478 - 128*f).\nAnswer: -256*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.2960071 rounded to 1 decimal place?\nAnswer: 456.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m - 2. Let g be n(2). Let f be (32\/(-24))\/(2\/g). Solve -z + f*z - 5 = -2*v, -5*v + z - 13 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(704))*3.\nAnswer: 15 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31492440.1 rounded to the nearest ten thousand?\nAnswer: -31490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1683 and 612.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 6 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.6 + -13. Let f = -68 + 67. What is the nearest to f in 5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -65, 2, 1, -3 in descending order.\nAnswer: 28, 2, 1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 0.4.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 109578 divided by 6?\nAnswer: 18263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 3*k**2 + 3*k**2)*(-2 - 2 + 2)*(-6 + 5 - 14).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 9, 1\/3, 24, 0.044 in ascending order.\nAnswer: -1\/7, 0.044, 1\/3, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129234957*a - 77749730.\nAnswer: 129234957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.229 to the nearest integer.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2, -3*x + u + 2*u = 12. Sort 2, -1\/4, x in ascending order.\nAnswer: x, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) + 19\/15. What is the biggest value in -2, 3\/5, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 35 (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:58 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {c: 6, k: 4, v: 1, r: 1, a: 3, d: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 375284115 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(152)*-6)\/sqrt(8))**2*-1.\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 8}. Give prob of picking 2 k.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4081247 by -10.\nAnswer: 4081247\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 9*m - 3. Let s be j(-4). Let u = s - -1. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1188 divide 48032225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13*a + 11*a**2 + 16*a - 16*a - 7 - a**3 + 2*a. What is the units digit of q(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m - 9. Let c(a) = -8*a**2 - 6*a + 42. Let j(q) = q**2 + q - 7. Let v(n) = -c(n) - 6*j(n). Determine z(v(w)).\nAnswer: 14*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 226003275*t**3 - 2553873902534640*t**2 + 2553874128537920*t.\nAnswer: -5*t*(t - 1)*(t + 22600328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378 or -4924\/13?\nAnswer: -4924\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + 29 + -3 + -2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**2 - 1. Let f be u(1). Let j = -2 - f. Is -7 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42086175983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:57 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1560 and 35027460?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 7*g**2 - 7*g**2)*(3 - 3 - g**3 + 0*g**3 + 0*g**3 + 3*g**3 + (g**2 + 0*g**2 + g**2)*(5*g - 2*g - 2*g))*(-8 - 7 + 1).\nAnswer: 672*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*w + 10039 = -1108*w + 34459 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -13075 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21503.3076ms?\nAnswer: 0.000248880875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -21. Suppose r - 56 = -f*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/19 (b) 1\/3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28683*h - 1 + 20981*h + 0 + 1 as y + v*h and give v.\nAnswer: -7702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 - 334535*x - 486104 wrt x.\nAnswer: 4*x - 334535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -36 (c) 0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-55))\/(8\/(-20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 5*s**2 - 7. Suppose 2*x - 4*p + 18 = 0, x - p - 18 = 5*x. Determine f(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-470)\/3 + 4*5\/(-60). Sort r, 1, 4 in increasing order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:05 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-10) - ((-33)\/110)\/3. Suppose 0 = 2*u - 5*u + 27. Calculate the greatest common divisor of u and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.44. Let f = -549 + 548. What is the nearest to 0.1 in t, f, 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 163, 252, 333, 406?\n\"Answer: -4*p**2 + 101*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 176\/36)\/((-15)\/18)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 + -173. Solve 4*b - o = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1145 - 415. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111111010100 + -1100000?\nAnswer: -1000111000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i - 3*i - 2*i**2 + i**3 + 0*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = 11. Suppose -3*l - 3 = 0, -4*l = 4*g - 3*g - 16. What is the lowest common multiple of f and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Suppose j = 5*t + 80, -4*t = -w*j + 68 - 4. Let c be 3\/15 + t\/(-20). Solve a + c = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 5*t - 5. Let d be 11\/5 - (-3)\/(-15). Suppose -d*f - 9 = f. Let y(m) = m**2 + 3*m - 3. Suppose -14*s = 170 - 240. Determine f*a(r) + s*y(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 65*n + 854. What is the smallest common multiple of d(-21) and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:44 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 748633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-336)*13\/((-234)\/(-168))*-9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3924*r**2 - 2*r + 886*r**2 + 8 - 60*r**2. Let k be f(4). What is k rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9862588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, f: 5}. What is prob of sequence uuff?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i. Let t be s(3). Let f = t + -26. Let p = 77 + f. What is the least common multiple of 30 and p?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684 a factor of 1902620220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/9 - 29929*c\/9.\nAnswer: -c*(c + 29929)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132466 is divided by 1132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/3 + 3*z**2\/2 + 12785*z + 135. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-54))\/16)\/(2\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -152925717?\nAnswer: 152925710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -69, -59, -69, -105, -173, -279?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -1334, -4268, -9960, -19334, -33314, -52824, -78788?\nAnswer: -112130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2 - 5 + 228*t + 3 - 187*t. Let j(o) = 87*o. Calculate z(j(m)).\nAnswer: 3567*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 3*s**2 - 2. Let x(o) = -6*o**3 - 8*o**2 + 5. Let l = -11 + 8. Determine l*x(i) - 8*y(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, 0 in decreasing order.\nAnswer: 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -42. Let s be ((-4)\/(-3))\/(h\/9). Suppose s*z - 115 = 3*k, -2*k - 245 = -4*z - k. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275880 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/2))\/t**17 assuming t is positive.\nAnswer: t**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 0.14 (c) -1 (d) -0.5 (e) 1\/38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43253\/180 - 1208\/5. Let z = 14\/9 + t. What is the nearest to z in -0.3, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(576))\/(sqrt(12)*2*-4) - ((sqrt(3) + (sqrt(75) - sqrt(3)) + 3)*5 + -5)).\nAnswer: -47*sqrt(3)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -127\/4. Is -1 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35825.\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48570, 3, 10 in descending order.\nAnswer: 10, 3, -48570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*a = -10, 4*a - 8 = -x + 2. Suppose u + o - 5 = -u, 4*u = 2*o - x. Solve 5*y - 2*c - 35 = -u*c, 35 = 2*y - 5*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 2*z - 8, 2*b = -4*z - 2. What is the nearest to z in 0.3, -1\/8, -0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3296 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2. Let v(w) = -67515*w**2. Calculate f(v(m)).\nAnswer: -18233100900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 6, 5, -9, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 4. Suppose 18 = -b*c - u + 55, 3*c = -4*u + 49. Calculate the remainder when 20 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i - 1. Suppose -z + 12 = -i*q, q + 18 = 8*z - 4*z. What is the units digit of 11\/2 - (-2)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/19 + 5509028*z\/19 = 0?\nAnswer: 0, 2754514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 4*l + 0*l + 111 - 126 = -115, l - 45 = 4*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/29))\/o**11*o**(1\/13)\/(((o**15*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-8616\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 5 (c) -58926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2772 and 1372602.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.055? (a) -9 (b) -2\/11 (c) 0.5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/32 - -20621*(-1)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 - 344*i + 683. Calculate v(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2001 (base 3) to base 13\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-5 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000290701 rounded to seven decimal places?\nAnswer: -0.0002907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 28085970.\nAnswer: 1291954620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100000?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, -2, 7 in decreasing order.\nAnswer: 23, 7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6 = -4*h, 4*y - 5*h - 20 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21705 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 32 - ((-21)\/(20202\/(-4196)) - 4\/13).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 1 + 1 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, -3, -4 in increasing order.\nAnswer: -4, -3, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -5 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnnnnsnnnn. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0594354 to four decimal places.\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225503 is divided by 348?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12015.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -p - 570, -2*i + p = -10780. Does 57 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 4, -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 46*k**2 - 8*k - 139. Give j(23).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 5*i**2 + 24*i + 6. Let m be d(5). Let n(a) = a + 1. Let t(p) = p**2 - 6*p - 1. Determine m*n(q) + t(q).\nAnswer: q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36330368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*f - 19. Solve c - f = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose -5*w = -3*w. Put -4, t, w in increasing order.\nAnswer: -4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1670130.\nAnswer: 1670130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -27, -6?\n\"Answer: 21*k - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z - 10 = 0. Let b(j) = j**2 - 4*j. Let w be b(4). Suppose w = -3*i + z*i - 10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1530 and 77\/680.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (1 - 1) - -3. Let g be -22 - 6\/(-9)*-3. Let j = g + 38. What is the highest common divisor of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3257 - 39127\/12. Calculate the common denominator of g and 65\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.386066 rounded to 3 decimal places?\nAnswer: 7.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-20)\/162*90\/(-75).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6547 divided by -1.\nAnswer: -6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2. Let l(t) = -t**2 + 1. Let v(q) = -24*q**2 + 20. Let n(s) = 20*l(s) - v(s). Give w(n(o)).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/100 - 53*j**4\/20 - 104*j**3\/5 + 776*j**2. Find m such that g(m) = 0.\nAnswer: -104, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937.82961 microseconds to days.\nAnswer: 0.000000010854509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2714*o*u**3 + 2327*u**3 wrt o.\nAnswer: -2714*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 320 = -4*v, 4*y + 5*v + 107 + 208 = 0. Let r = -57 - y. 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: How many decades are there in 0.7067695 years?\nAnswer: 0.07067695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465746 and 19883?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169.887 + -0.113. Let j = h - -173. What is the third biggest value in j, -1, 4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 13*a**2 + 1679*a - 36. What is r(-48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8900*o**3 - 24479*o**2 - 6664*o + 3 = 0. What is o?\nAnswer: -1\/4, 1\/2225, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.624051 years to millennia.\nAnswer: 0.005624051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-3 + sqrt(171))*-5)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g + 4. Let w = -2 - g. Suppose 92 = w*h + 18. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17*i + 136. Let z be -6 + ((-68)\/(-153))\/((-6)\/(-189)). Let q be x(z). Solve 14*t - 9*t - 10 = q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**2 - 5*m. Let h(v) = v**2 - v. Calculate -10*h(f) + 2*t(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + (sqrt(143) + 3*sqrt(143) + sqrt(143) - sqrt(143))) + sqrt(143))\/sqrt(11).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/3 - 12074*i**3\/3 - 40302*i**2 - 205582*i\/3 - 96752\/3 = 0.\nAnswer: -8, -1, 6047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -15.78?\nAnswer: -14.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 15*w + 20. Let d be z(5). What is the biggest value in 0.3, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 6) to base 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/101, 4, -0.5, 0?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340 + 339.99999752. What is k rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35775 and 35775?\nAnswer: 35775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 224?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5437.6 kilometers to centimeters.\nAnswer: 543760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.3, -2\/5 in descending order.\nAnswer: 2, -0.3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - (-640)\/(-14). Let q = g - -72. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610361160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:56 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 times -0.068?\nAnswer: -6.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 17. Solve 0 = o*t - 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26 - 511 = 0. Let u = -166 - k. What is the greatest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.55 - -15.1. What is the closest to -2 in -0.4, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1011010011110?\nAnswer: 1011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12865399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 136*w**2 - 3198*w + 27. Does 27 divide k(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -6 + 5 + (2 - -5) + -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(12 + 0 + -1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.533 - 1.506. What is o rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l - 6. Calculate the lowest common multiple of 16 and a(2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:55 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - q**2 + 3 + 4*q**2 + 6*q - 6*q + (-1 - q + 1)*(q - 4*q + 2*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -126743 (base 11) to base 5\nAnswer: -22333323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19 + 4*s - 3*s**2 + 0*s**2 + 19 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -21*q + 17. Solve q = 11*n - 0*n - 44 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*y**2 + 376*q**2*y + q*y**3 + 19*y**3 wrt y?\nAnswer: -4*q**2 + 6*q*y + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {r: 1, d: 1, s: 1, v: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5239, -10461, -15683?\nAnswer: -20905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 111*p + 1077. Let o(b) = -7*b**2 + 110*b - 1075. Let m(w) = 3*o(w) + 4*s(w). What is q in m(q) = 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12*-2)\/((-3)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mutmttxmutu. What is prob of sequence utmx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Suppose -2*d + 4*n + 3 = n, -7 = -4*d + 5*n. Calculate the remainder when d is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 43*n + 123. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 0*o + o. Let m(l) = -l - 1. Let c(n) = -2. Let v(h) = c(h) - 2*m(h). Determine v(x(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -300 - -386. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447 by 142.\nAnswer: 447\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1053) - 5*(-1 + sqrt(1053)) - sqrt(1053))*3 + -2 + sqrt(1053)*1 + 1 + sqrt(1053)*-2))**2.\nAnswer: -64512*sqrt(13) + 4316224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (24\/(-18) + 2336\/(-219)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*b + 20 = 0. Suppose -298 = -b*i - 98. Let f = 58 - i. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 4. Let g = 3 - 1. Let b(p) = 3 - 2 + 13 + 3*p**g - 3. What is -4*b(m) + 11*s(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1010*r**3 + 180*r - 980*r**3 - 111*r**2 - 61 - 3*r**4 - 47.\nAnswer: -3*(r - 3)**2*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(108) + sqrt(9)\/sqrt(3)*4)**2*-2 - -2*(sqrt(12)*1 + ((sqrt(60)\/sqrt(4))\/sqrt(5) + sqrt(3))**2).\nAnswer: -702 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-13)\/(q**(-7)\/((q**(-4\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97945523*w**4 + 193622765 with respect to w.\nAnswer: 391782092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/14)\/((-3)\/(-444)). Let a = 26699\/154 + f. Let p = -2474 + 29725\/12. Calculate the common denominator of p and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -808, -1122, -1420, -1696, -1944, -2158?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6367.\nAnswer: 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:41 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/24 - 9*l**5\/4 - 215*l**4\/12 + 440*l**3 + 185*l**2 + 9*l. Let v(k) = 0. What is k?\nAnswer: -22, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102) + -1*sqrt(102)))\/(2*sqrt(864)) - ((-3*(sqrt(612) - sqrt(612)*-1 - sqrt(612)))**2*-3 + 2).\nAnswer: 16522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4540 and 162214200.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 21\/6)*2. Let d(m) be the second derivative of -3*m**5\/20 - m**3\/6 - m**2\/2 - 3*m. Calculate d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 4*g + 23. Calculate the remainder when 37 is divided by i(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 16324118*w - 6. Let q be y(6). Suppose 0 = 5*s - 19444702 + q. What is s rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4518 = -16*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 - 4*u**2 + 7*u + 2. Let n be 32\/24*(-2 - 21\/(-6)). Is q(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z - 8. Let i be s(4). Let y be (0 + i)\/(-3) + 4. Suppose q = -5*p + 271, -169 = -y*p + p + q. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8979544, 8979545, 8979546, 8979547, 8979548?\nAnswer: 8979549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 8755?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**25\/(b\/b**(-25)))**49)**7 assuming b is positive.\nAnswer: b**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjmmmmmmjmj. Give prob of sequence mjj.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t + t)*(-1 - 3 + 2)*(19*t - 6*t - 4*t)*(-t**2 + 3*t**2 - 5*t**2).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*((i\/i**(-22))\/i)\/i*((i**(2\/23)*i)\/i)\/i**(3\/16) assuming i is positive.\nAnswer: i**(5483\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -4. Let h = 6 + y. Suppose h*q = -4*x + 10, 5*x - 9 = -q + 2*q. Solve -f = -b + 1, -3*f + x*b - 10 + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m**5*m**(-3\/5)\/(m*m**(-8)))\/((m**0\/m)**(-34)*m**(-3\/2)\/m**(-5\/6)) assuming m is positive.\nAnswer: m**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 2*n + 3*p, 258 = 2*n - 170*p + 175*p. Solve 2*k + n - 131 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2546 and 1577.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 70 (b) 0.8 (c) 21298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -232313 (base 4) to base 9\nAnswer: -4102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1494142070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, -87 in decreasing order.\nAnswer: 5, 1, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*5)\/sqrt(2) - 4*sqrt(2057)) + 3.\nAnswer: -39*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9595 plus -1911.7?\nAnswer: -11506.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 0*a + 4*a)*(-4 + 2 + 3) + 323*a - 2 + 494*a - 128*a.\nAnswer: 687*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 121420\/(-934)*3\/((-117)\/6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = m. Sort m, 5, -9 in ascending order.\nAnswer: -9, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62b5 (base 12) to base 7\nAnswer: -43316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkrlbllflrk. What is prob of picking 1 k and 1 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10778445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22034, -43995, -65936, -87845, -109710, -131519, -153260, -174921?\n\"Answer: 2*w**3 - 2*w**2 - 21969*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*n - 117*n + 58*n)*(2*n**2 + 3*n**2 - n**2)*(2 + 2 - 2).\nAnswer: -176*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 8) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 3*w - 6*w - w in the form l + d*w and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -421, -388, -393, -454, -589, -816, -1153?\n\"Answer: -3*g**3 - g**2 + 57*g - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140067 - -686?\nAnswer: 140753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**6*q*q*q**8)\/(q*q\/(q\/((q**(-2)\/q*q)\/q))*q**(2\/5)))**(-1\/20) assuming q is positive.\nAnswer: q**(-33\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2604578*w**3 - 704164.\nAnswer: -7813734*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-54))\/((-2788)\/738)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*v**3 - 31*l**3 - l**2*v**3 + 7*l*v**3 + 4*l*v**2 + 10*l wrt l.\nAnswer: -6*l*v**3 - 186*l - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 179195 = n, 4*n - 8*n = -20. Suppose -5*c = -2*d + y, -12*c + 14*c + 223998 = 5*d. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -110. Suppose -73 = -3*q - w. Solve 6*k = 11*k - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 - -1842.\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -573, -1291, -2297, -3591, -5173?\nAnswer: -7043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498473.\nAnswer: 503, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 61534*f + 22465239\/5.\nAnswer: -(f - 73)*(f + 307743)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let z(q) = -q**2 - 4*q. Let y(k) = 4*h(k) + z(k). Let b(r) be the second derivative of -1\/3*r**3 - 15*r + 0*r**2 + 0. Give y(b(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 4*j - 2*j + (-3 - 3 + 5)*(-1 + 1 - 2)*(-2 + 1 - 1 + 2*j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*a - 3*a. Let k be 1\/(a\/24*-1). Is 3 a factor of -1 - (k + 1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4443065 divided by 888613\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-3 + 3*sqrt(13))**2.\nAnswer: -54*sqrt(13) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/(-63))\/((-17595)\/828).\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - i - 1. Let k be t(1). Differentiate -3 + 0 - 7*q**k - q**2 + 2*q**2 with respect to q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**2 - 291*d.\nAnswer: -3*d*(4*d + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, 7, 92, 177?\n\"Answer: 85*u - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16979589, -16979590, -16979591, -16979592?\n\"Answer: -d - 16979588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 take away -0.86?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2\/2 + 7*d - 2. Let x be n(-4). Solve v = 2*v - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 18, 1\/7, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5856 or 11709\/2?\nAnswer: 11709\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/6 - y**3\/6 + y**2\/2 + y. Suppose 0 = -2*v - 5*f - 6, -3*v - 1 = -2*f - 11. Determine s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9494*s**2 + 8940*s**2 - 18436*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*r**2 - 14 + 107*r**2 - 17 + r)*(4*r + r - 4*r).\nAnswer: 2*r**3 + r**2 - 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -1\/6*d**3 - 3\/2*d**2 - 2 + 3*d. Let b(k) be the first derivative of l(k). Differentiate b(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 0*u**2)*(-3 + 8 + 3)*(-2 + 0 - 1)*(u + 3*u - 3*u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 100 - 106, -9*s + 2146 = d + 2108 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2563595 is divided by 854465?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3 + 137051688*n**2 + 311233851*n.\nAnswer: 12*n + 274103376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 + 4 - 403\/52) + -7 + 5)*-8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49094 or -49134?\nAnswer: -49134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**9\/3528 - n**8\/3920 + n**3\/2 - 9*n**2. Let l(f) be the first derivative of z(f). Factor l(o).\nAnswer: 3*o**4*(2*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q, -2*p + 6*q - 3*q = -67. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1846\nAnswer: -1846.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -46?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:16 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-12)\/(-8) - 2). Let c(m) = -m**2 + 4*m - 3. Let x be c(3). Let q = x - k. Solve q*n + n = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/6))\/p*p)\/p*p)**(-2\/13) assuming p is positive.\nAnswer: p**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*(-2)\/24*8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:00 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*6\/72*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 661323 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 70 + 2*p + 0*p to v + f*p and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/9, 3\/8, 4, 3\/1741?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.13 + 0.13. Let u = p - -21. Let i = u - 12.5. What is the second biggest value in i, -3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/((-2)\/4). Let h(a) = 2*a - 22. Let v be h(10). Let s be (13\/z)\/((-1)\/v). What is the greatest common divisor of 91 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*p = 6, -3*o + 521*p = 524*p - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(11))*-2.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 21740 - 23953 + p**3.\nAnswer: -3*p**3 - 2213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 1. Let n be w(1). Suppose 1 = m + n. Let l be 4\/2*(-9)\/m. What is the highest common factor of l and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105\/71 + 3\/142. Let g = -11.9 - -12.1. Which is the biggest value? (a) -3 (b) u (c) g (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.6. Let s = 1252.7 - 1253. Which is the biggest value? (a) s (b) 0.5 (c) 1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -10*a**2 - 9*a - 520. Give i(6).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*k**4 - 938485*f - 374998*k**4 wrt k?\nAnswer: -8*f*k**3 - 1499992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:05 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/342*32091\/1689?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + 70. Suppose -466 = -4*f + g + m, -292 = -2*f + 5*g. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-104)\/520)*306\/6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:43 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -2)*-3*(-4)\/(-18). Let u be (3 - 3)\/(2 - 0). Suppose w*z - 9979 - 30021 = u. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0 + 1\/(-1) - (-2723 - -79)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3031 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/6 - 2\/(-12) - -36002. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -43. Suppose -x*p + b + 2*b + 104 = 0, 4*p + b - 194 = 0. Find the second derivative of 1 + p*g**4 - 1 - g - 57*g**4 wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -142. Suppose -7*z = -15*z + 72. Calculate the greatest common divisor of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -972 = -971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i)*((-3 + 6 - 1)*(-10 - 3 + 10) + 3 - 1 - 9).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10144679599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c26171 + 3?\nAnswer: 9c26174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - t - 2. Let c be i(-3). What is the greatest common divisor of 252 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 5, -25, 94 in increasing order.\nAnswer: -25, -0.4, 2, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12055.1 + -12055. What is the closest to o in 0.27, 1\/4, -1, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -5\/13, -75, 2\/7, 0.5, 1?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 299040\/27 + 32\/72. Let l be ((-2)\/4)\/(78\/h). Which is greater: l or -75?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*s**4 - 28*s**3 + 380\/7*s**2 - 188\/7*s + 0.\nAnswer: 4*s*(s - 47)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-21) + (-24)\/(-14). Let n be ((2 - 1) + 1)\/1. What is the first derivative of -i - n*r + r + 1 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14829 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3401.01 - -3401. Let b be 2*1\/(1\/2). Suppose -b*m = 7 + 13. What is the third biggest value in i, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/6861 + -304175\/13722. Let r = -14717\/154 + 703\/7. Find the common denominator of k and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2791 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 52*f - 48. Let y(m) = -2*m + 1. Let u(h) = p(h) + 3*y(h). Differentiate u(q) wrt q.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 3*g + 3*g)*(-4*g + 2*g + 3*g) - 98*g**2 + 15*g**2 - 31*g**2 to the form s*g + d + p*g**2 and give p.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y - 17. Let u be k(-9). Suppose -m - v - u = -5, v = 3*m + 8. Let t(p) = -13*p**2 + p + 1. Calculate t(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 15 = -37. Let f = d - -14. Let q be 1 + f - (-144)\/8. Solve 0 = 3*b - 5*w - 25, 4*b - b = 4*w + q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 14. What is the third derivative of -10*m**4 + 2 - 9*m**j - 4*m**2 - 2 wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3452, 6872, 10292, 13712?\nAnswer: 17132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-14 - -12) + 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/29))**27*h**5\/(h\/(h**36\/h)*h) assuming h is positive.\nAnswer: h**(1939\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by 325.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3*r - 10, 4*r + 8 - 2 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + a + 33 = -3*m, 4*m - 2*a = 44. Solve m*q = 4*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113372 rounded to seven dps?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569*r - 550*r = -38. Sort r, 3, 4, -11, -4 in decreasing order.\nAnswer: 4, 3, r, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p = 36*p. Solve -20 = -p*v + 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/7, -1\/3, 0.06, 0, 482.\nAnswer: -1\/3, -2\/7, 0, 0.06, 3\/7, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672239000 rounded to the nearest 1000000?\nAnswer: -2672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 20*t**2 - 21*t + 39. Let s be j(19). Let a = -4\/91 - 19\/1638. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 + 2*r**2 - 3. Let h(v) = v**2 + 2*v + 2. Let c be h(-2). Let y(t) = -16*t**3 + 11*t**2 - t - 16. What is c*y(x) - 11*p(x)?\nAnswer: x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/(m*m*m**(-7)*m*m*m*m)*(m*m**(3\/10)*m*m)\/m*(m\/m**(-3\/7))\/m)**(8\/5) assuming m is positive.\nAnswer: m**(3004\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - 2*sqrt(1216)) + 3)**2 - -1*(sqrt(76)\/sqrt(4) + 4).\nAnswer: -47*sqrt(19) + 1229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 68*j**4 - 124*j**3 + 60*j**2 = 0. What is j?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24593135 or -24593136?\nAnswer: -24593135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/20)\/(384\/(-6144))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 14*i**2 + 3*i - 7*i**3 + 6*i. Let d(z) = -3*z**3 + 6*z**2 + 4*z. Let x(m) = -9*d(m) + 4*j(m). Find the third derivative of x(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibff. Give prob of sequence ffi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2451 and 1161?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1401 - 1400.9. Which is the closest to g? (a) -1.8 (b) -9 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163129 is divided by 3503?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3004.74 and 0.39?\nAnswer: 1171.8486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33519 is divided by 1287.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 367, -0.1, -40, -3?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*u + 42 + 8 = 0, -5*u = 25. Let k be (-2 - m) + 1 - -1. Suppose 0 = z + 3*c - k, 3*c = 2*z - c. What is the remainder when 18 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1*sqrt(288) + (5*(sqrt(288) + 1) - sqrt(288)) + (sqrt(288) - (sqrt(288) + 1) - sqrt(288) - sqrt(288)) + -2 + sqrt(288) + 5*-1*sqrt(288)))**2.\nAnswer: 5400*sqrt(2) + 65025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 133*k - 15915. Calculate f(120).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 83 + -380 + 266\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3129 - -3125. Let t(k) = k**3 + 5*k**2 - 2*k - 20. What is t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2904)\/924*56\/24.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(1\/16)*t)\/t)\/(t*t**5))**(7\/3)\/(t\/(t**(-2\/7)\/t)*(t\/((t*t\/t**(3\/5))\/t)*t)\/t*(t**(-4\/5)\/t)\/(t\/((t**(-1\/3)*t)\/t))) assuming t is positive.\nAnswer: t**(-6313\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w + 7. Give a(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -123. Suppose -24 = -r*x - 2*y, -12 = -x + 16*y - 21*y. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 34. Is l at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {v: 3, x: 4, s: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 1, 0.713, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose -m = -5*x + 36. Suppose 6*n + 4*c - 48 = 2*n, 0 = n - 3*c. Calculate the smallest common multiple of n and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-60)*10)\/(((-12)\/(-3))\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137048.\nAnswer: 2, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -525281 - -4?\nAnswer: -525277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/6 - (-8)\/6. Is -3 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 223 = 52. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (7 - ((-172)\/(-12) + -8)). Solve -4\/3*k**2 + 5\/3*k - 2\/3 + u*k**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 80 - 16 = 0. Let q = 34 + b. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275020459.\nAnswer: 7, 19, 2067823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722063 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-32) - ((-14)\/8 - 1). Find h such that h**2 + i*h**2 + 11*h**2 - 10 - 5*h = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/5)\/((-14)\/(-35)). Suppose -3 = -z*r + 1. Sort -2, -4, r.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4968709 + 5121291. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 5. Suppose -8*t = -4*t + 4*y - 8, 3*y + 4 = -t. Sort o, t, 4, 3 in decreasing order.\nAnswer: o, t, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7597, 6826, 6055, 5284?\n\"Answer: -771*t + 8368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 871913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/4))**18\/((k*k\/k**(-6\/11)*k)\/k**19) assuming k is positive.\nAnswer: k**(1033\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959716 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 8) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -0*p - 3*p. Let n be p\/16 + 7\/56. Suppose -u = -d + n*u + 27, 4*u + 20 = 0. Solve 0 = 6*l - l - 2*c + 18, -4*l - d*c - 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42086790460.9999995018 - -42086788886. Let a = b - -1575. What is a rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 18.2394646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 840\/245 - (-3)\/(-7). Let z(l) = 0*l + 942 - j*l - 940. Give z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10160128 to the power of 1\/2, to the nearest integer?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/20 - q**4\/2 - 13*q**3\/6 - 17*q**2\/2 - 6*q. Let t be o(8). Is 4 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14)*532\/57)\/(121\/2904)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-345) - 3\/(-15). Let i = 75\/46 - n. Factor -i*x**3 + 0*x + 0*x**2 + 0.\nAnswer: -3*x**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:57 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -4556192448178?\nAnswer: -4556192448177.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z + 228. Let m be y(-21). Solve 35*c + m = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10385123147 to the nearest one million.\nAnswer: 10385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from eeeeeeeeeeefeeeeeee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*q + 12, 14 = 3*t - 7*t + q. Let w(f) = -f. Let b(o) = o**2 + 2*o + 1. Let p(r) = -b(r) - 2*w(r). Let z(l) = -5*l**2 - 4. Give t*p(d) + z(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k. Let l(c) = 24*c. Let o(g) = -94*g. Let i(t) = 9*l(t) + 2*o(t). Calculate i(f(h)).\nAnswer: 196*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2, 0*x - 5*a = -x + 14. Suppose -x*c + 3*p - 7298 = 0, -p = 4*c - 0*p + 7290. Round c to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173893001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 18 + 6. Find the second derivative of -42*o**4 + l*o + 29*o + 5*o**4 wrt o.\nAnswer: -444*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - 3*sqrt(50)\/sqrt(5)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1149577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19524731 a multiple of 2801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d**(-4\/3))**(-37)\/((((d**0\/d)\/d)\/d)**(-46)*(d\/d**(-1\/3))**(-1\/34)) assuming d is positive.\nAnswer: d**(-10181\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21\/i**(-17\/5))\/(i**(-15)*(i\/i**35)\/i) assuming i is positive.\nAnswer: i**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*z = -13, z - 3 = -2*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34, 191, -43 in decreasing order.\nAnswer: 191, -3, -34, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53995463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344398479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3589816 is divided by 2000?\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -21 + 44 - -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012012000201111 + 122?\nAnswer: 11012012000202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.062 - -0.062. Which is the nearest to 4\/7? (a) 5 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22356 and 25029.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 4. Let p be u(3). Suppose 42 = t + p*h, -56 = -4*t - 4*h + 32. Solve -v + 0*m + 4*m - t = 0, -4*v - 5*m + 16 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -81, -321, -703, -1221, -1869, -2641, -3531, -4533?\n\"Answer: j**3 - 77*j**2 - 16*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, g: 3, t: 4}. Give prob of sequence kt.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 515 - 19*g**4 - 1050 + 11*g**3 + 534 + (-3 - 2 + 6)*(g**4 + 4*g - 4*g).\nAnswer: -18*g**4 + 11*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -337.522?\nAnswer: 335.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1009, -1006, -1001, -994?\n\"Answer: j**2 - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 6*q - 4*q + (-5*q - 7*q - 2*q)*(-1 + 0 - 1).\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -105. Let h = -134 + 97. Let v = h - p. Solve -4*r + 4*i = r + 17, -3*r + i = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -4. Let h be 3\/f + 21\/2. Let n = h + -6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.84 + -0.16. Let s = -0.256 + 1.256. What is the closest to y in 4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8465 = 19*g - 7952 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + -2ac3429?\nAnswer: -2ac33ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14653*b + 89. Let q(w) = -7327*w + 36. Determine 2*o(k) - 5*q(k).\nAnswer: 7329*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246372?\nAnswer: 2, 3, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29407587, 29407585, 29407583, 29407581, 29407579, 29407577?\n\"Answer: -2*z + 29407589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86460\/(-880) - 116\/8)*(-6)\/22.\nAnswer: 123\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/60 + r**2. Let k(t) be the second derivative of t**3\/3 + 1820*t. Determine k(p(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587*i*t**3 + 13*i*t**2 + i*t - 14*i - 3*t**3 - 5*t**2 + 1446*t - 72 wrt t.\nAnswer: -3522*i*t + 26*i - 18*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 9*m - 87 - 128 + 14 - 112.\nAnswer: 9*m - 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -407774 + -1?\nAnswer: -407775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 15*z - 18 = 0. Suppose 4*v = v + z. Suppose -4*j - 2*l + 254 = -2*j, 0 = 4*j + v*l - 510. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affdddadadf. What is prob of sequence fddd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 2)\/(14\/(-42))*4\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*-2*24\/(-24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 6aba?\nAnswer: -6ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s. Let h = 142 + -148. Let z(d) = 8*d. Suppose 0 = l + 9 - 24. Suppose -3*j - 2*j = 5*a + l, -a = -3*j - 17. Determine h*p(g) + j*z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2\/2 - 4*d - 2. Determine g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = 215. Suppose -4343*t + 123157 = -4050*t + 43893 - 147225. What is the remainder when t is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -34. Suppose 4*o + 3*y = 84 - 3, 2*y = -2*o + 42. What is the greatest common factor of o and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*y + 5615, 0 = 5*y + 7 - 17. Let p = 16823\/9 + w. Let k = 1426 - 7092\/5. What is the common denominator of k and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 + 3084620*t - 475744027220 = 0. What is t?\nAnswer: 308462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (7 - 8140\/280).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-2*1\/2. Let i be ((x + 4)\/(-1))\/(-1). Solve i*s + 3 = -2*l + 13, l = s - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -23)\/(6\/(-2))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1)\/4*0. Suppose 0*w - 5*w = c. Suppose 2*g + 4*i = i - 17, w = -5*i - 25. Which is smaller: g or 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -127 and 382445979?\nAnswer: 382446106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -200131033221?\nAnswer: -200131033212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-5 + 23 + 34 - -33)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c + 4. Let h(s) = -6*s - 91. Let v be h(-16). Let z(g) = -41*g - 5 + 7 + 75*g + v - 56*g. Give 7*x(w) - 4*z(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1*k**(-2))\/(k*k*k**(-3)*k**6) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + v**2 + v. Let o(l) = -13*l**3 + 22*l**2 + 4*l + 1. What is 5*a(w) - o(w)?\nAnswer: 3*w**3 - 17*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 4, 2.\nAnswer: 2, 4, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a529 + 4?\nAnswer: 1a532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*a**2*c*q**2 + 4*a**2*q**3*w - 2*a*c*q**3 - 4*a*c*q + 11*a*q + c*q**3*w + q**3*w wrt a?\nAnswer: -170*c*q**2 + 8*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358.74 - 359. Let s(h) = h**2 - 4*h - 187. Let x be s(-12). What is the second biggest value in x, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Let q be (-2)\/7 + 2 - t. What is the second biggest value in q, -5, 4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42 - -46)*(-33)\/6. Let w(l) = -23 - 5*l - 38 + 2*l. Let o be w(t). Solve o*j + 4 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -723?\nAnswer: 289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrl when three letters picked without replacement from {r: 3, l: 1, b: 2, z: 2, j: 4, c: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6837 - 183*x**2 + x**3 - 14248 + 21085 + x**3.\nAnswer: 2*x**3 - 183*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 340*n - 420. Calculate t(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -223, -5, 3073, 2, -0.1, 6?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -11.1, -4, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*s**2 - 375*s - 153?\nAnswer: 8*s - 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1424773915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -71*v**4\/24 + v**3\/2 + v**2\/2 - v. Let f(n) be the first derivative of a(n). Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564640927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -2 (b) 16 (c) -27 (d) 0 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(96)*6)\/((sqrt(132)*-3*-6)\/sqrt(11))*3.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 10 + d**2 + 0*d - 4*d. List the prime factors of t(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -1\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1931735\/48 - 40247. Calculate the common denominator of v and 47\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10002 (base 5) to base 8\nAnswer: -1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -14, 2.6, 2\/3, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2630 divide 3685970534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -2*z. Let g be 1 - z - (-65)\/1. Let a = 109 - g. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517445751 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/19 - -33\/76. Let v(b) be the first derivative of 0*b + j*b**6 + 21\/10*b**5 + 2*b**4 + 2\/3*b**3 - 1 + 0*b**2. Factor v(k).\nAnswer: k**2*(k + 1)*(3*k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-159)\/(-424) - (-1)\/(-8). Which is the fourth biggest value? (a) -0.2 (b) n (c) 4\/5 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d - 1. Let a be k(-1). What is the units digit of ((-471)\/2)\/a*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*-2*246\/(-12). Let q = -33 - j. Suppose q*o + 55 = 799. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*z - 60*z - 2*n - 8, -z = -n - 4. Let k(l) be the second derivative of 0 + 2\/5*l**3 + z*l**2 + 20*l + 1\/20*l**4. Determine b, given that k(b) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1696926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + (-4025996)\/2. Let x be (-179528)\/2*(-161)\/4. Let s = r + x. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a = 15*a + 196 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 413, 2\/13, 597?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 1. Let n be g(1). Let k(j) = -j**2 + j + 5. Let q be k(n). Solve q*w - 19 = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a**2*o**3*q - a**2*q + 59*a*o**3 - 44*a*o*q - 3*o**3 - 2*o**2 + 3*o*q + 3205 wrt o.\nAnswer: -66*a**2*q + 354*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + -2 + sqrt(363))*1 + 6*(sqrt(363) + 0 + sqrt(363) + 2 + (sqrt(363) + sqrt(363)*-1)*3))**2.\nAnswer: 2574*sqrt(3) + 61428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*p + 552. Suppose 25 = -13*u + p. Let s(j) = 7*j + 3*j - u*j. Let c(m) = 6*m. What is c(s(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184\/263 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 7*q**2 + 1\/735*q**7 + 0 + 0*q + 1\/35*q**5 + 1\/21*q**4 + 1\/21*q**3 + 1\/105*q**6. Suppose d(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 11*h + 7. Let b be d(-5). Let p(c) = -16*c + 19 - 12*c + b*c. Is p(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h - 4. Let s(c) = -5*c - 2. Let l(k) = 4*d(k) - 9*s(k). Let f be l(2). Solve 4 = 4*r - f*m, -4*r + 9*r - m = 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (143250\/191)\/(6\/117280). What is i rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f = -5*i - 1746, 5*i + 1750 = 5*f. Let u = -349 - i. Let s = 1\/200 - 461\/12200. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let x be f\/6 + 1\/21. Let u = -30.9 + 31.3. Which is the second biggest value? (a) x (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 2. Let a be k(-7). Suppose -52 = -a*d + 202. Suppose 0*g - d = -g. What are the prime factors of g?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 plus 0.5?\nAnswer: 642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let o(r) = -7155*r. Determine o(z(b)).\nAnswer: -14310*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173773050 a multiple of 5225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6)*6\/15. Let 0 + 2*n**4 + 0*n + 2\/3*n**2 + 2*n**3 + s*n**5 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 4*i**2 + 4. Let y be g(-4). Suppose 4*w - 32 = y. Calculate the remainder when 33 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 3*h + 0*h)*(16 + 45 - 34)*(4 - 1 - 1) to the form q*h + c and give q.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 7*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and (15 - (-880)\/(-60))\/((-1)\/(-414))?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11259016 by -9124.\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 164 = 3*q - 255, -5*x = 3*q - 1034. List the prime factors of x.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/77*(-72)\/192?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 996 by 166.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 2470 = -101*b - 123*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**2 - 18 - 2\/3*n**3 + 0*n. Let b(f) = 11*f**2 + 4*f. Give b(z(r)).\nAnswer: 44*r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/15)\/(-1)*-5. Suppose -j*a = -f - 10 + 2, -a = -f - 6. What is the derivative of 0*i + 2*i - 2*i - 1 - a*i**2 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807172.\nAnswer: 2, 373, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5948019 equal to 5948019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -219b?\nAnswer: -21ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (18\/(-4))\/9)\/(12\/(-176)). Which is greater: s or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 53542.\nAnswer: 5996704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2. Let m(j) = -9*j. Determine m(f(v)).\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 685197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + (-91)\/(-14). Suppose -3*r + 2*h = a*h - 141, -r = -2*h - 58. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 12*p - 2. Determine n(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/286 and ((-226)\/396)\/((-142)\/(-213)).\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 5*f**2 - 801*f**3 + 793*f**3 - 3*f**2 + 2 to the form d*f**3 + b*f + a + c*f**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4162\/160 + 335\/(-26800).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33802*z**2\/3 + 67138*z\/3 - 932\/3 = 0. What is z?\nAnswer: -2, 233\/16901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (305\/(-15) - 3)*54\/(-399). Is g < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*w = 2*s + 425*w + 243, 12*w - 1017 = -7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1462 and -10.\nAnswer: -14620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o**2 + 498*o + 1024. Let r(g) = 7*g**2 + 5*g. Let v(d) = -2*r(d) - u(d). Factor v(b).\nAnswer: 2*(b - 256)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.029 - -0.229. Which is the smallest value? (a) 3\/4 (b) q (c) -1\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1008) + sqrt(1008) + sqrt(1008))\/sqrt(9))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1449, -1291, -1111, -897, -637?\n\"Answer: 2*g**3 - g**2 + 147*g - 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/6))**(-32) assuming p is positive.\nAnswer: p**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Suppose -5*j + j = 0. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 14*n - n**3 + 3 + 5*n + 4*n**3 - 4*n**3. Calculate the remainder when t(6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 31. Let k be o(-28). Calculate the highest common divisor of 4 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-2\/17)\/(m*m\/(m\/(m*m\/m**(2\/3)*m)))**(-23\/3) assuming m is positive.\nAnswer: m**(230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3 + 195857352*q**2 - 783429384*q + 783429376 = 0?\nAnswer: 2, 97928672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-18)*40284\/(-746)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-329)\/(-70))\/47*4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*i - 14 = -0*i, 5*i + 16 = -r. Let c = -8 + 9. Suppose 4*j = j - 6. What is the second smallest value in c, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:04 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 7b76bd?\nAnswer: 7b76c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 4*f**3 - f**3 + 7*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + f81?\nAnswer: f81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v + 8*v + 19 - v - v. Let k be l(17). Solve -6*m = -m + k*q + 24, m + 6 = -q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1383 + 1369 = -4*z, -10 = -2*z + 2*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -434.7 + 434. What is the nearest to -0.2 in 2, b, 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + -634?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/187 - (1 - 70\/17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2210, 5059, 9226, 15371, 24154?\nAnswer: 36235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1580 >= -1578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r. Let w(i) = 3*i. Give 6*d(m) + 11*w(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*n = 104, 0*n + n + 98 = 3*k. Let p = k + -27. What is the third derivative of 8*h**p + h**2 - h**2 + 9*h**2 wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -58*j**2 + 651*j - 793. Calculate l(5).\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277170573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13620 (base 7) in base 5?\nAnswer: -104423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljgjuajguuujuu. What is prob of sequence gjg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:42 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51966, -51995, -52030, -52065, -52094?\n\"Answer: h**3 - 9*h**2 - 9*h - 51949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {j: 4, l: 2, o: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4205\/25230*(-7)\/(2716\/72)\nAnswer: -3\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = -4*q, 0*q = -3*p - 5*q + 24. Let x(n) = -16 - 11 + 20 - 6*n**2 + n + n**p. Calculate x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:01 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.087 - 11.913. Let n = 2.97 + 0.43. Let r = 1.4 - n. What is the second smallest value in r, t, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1017 or 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2)*(-2 + (-16 - 3)). Let i = 146\/7 + p. Let v = -0.3 - -0.1. Which is the nearest to -9? (a) -2 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(171) - (sqrt(171) - 6*sqrt(171)*3) - sqrt(171))\/(sqrt(9) - sqrt(99)\/sqrt(99)))**2.\nAnswer: -49419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/42 - 3*o**3 - 7*o. Find the second derivative of m(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374 - -82. Let m = -295 - j. Which is the third smallest value? (a) -3\/14 (b) m (c) -6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/870 and -16\/16166195?\nAnswer: 96997170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:12 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(420))\/sqrt(12))\/(5*sqrt(28)\/sqrt(4)))**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9446*q - 33 - 65 - 32 + 130 + (4*q - 2*q + 0*q)*(3 + 0 - 1) + 3*q + q - 2*q as r + u*q and give u.\nAnswer: 9452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15881, 31766, 47667, 63590, 79541?\n\"Answer: a**3 + 2*a**2 + 15872*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*u - 122*u - 21541. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 7:22 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2441727 (base 8) to base 3\nAnswer: 1021011210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 276 and -4.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371055, 370907, 370711, 370443, 370079, 369595, 368967?\nAnswer: 368171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/3 + 180283*z**2\/3 - 2708526721*z + 2708466627 = 0 for z.\nAnswer: 1, 90141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (187671\/(-7986))\/((-2)\/4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2050226518 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -59283 at least as big as -59282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -389 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 3*s**2 - 57*s**3 - 1101027*s - 1044*s**3 + 1101027*s.\nAnswer: -1101*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, a: 1, b: 1, z: 1}. Give prob of picking 1 v, 1 a, 1 b, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/25 - 1\/175. Which is the smallest value? (a) n (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/49, -1288\/29, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 0*i**2 + 0*i**2)*(i + 0*i + i) + (-4*i**2 + 4*i**2 + 2*i**2)*(-1 - 3*i**2 + 1) as z + r*i**2 + u*i**3 + h*i + q*i**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*k - 1017 - 63. Suppose 9*c - 5*c - 60 = 0. Let u = 19 - c. What is the least common multiple of u and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144657 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: What is the cube root of 30870 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a - 2*y = 2, -30 = 5*y. Solve -m - a*w + w = 0, 4*w - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = 6730565 - 6729889 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7657170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 2*r - 1. Let f(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/8 - 5*y**3\/6 - y**2. Let p be f(4). List the prime factors of n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 17 = -2*w - u, 2*w - 13 = 3*u. Let f(b) = 7*b**2 - 4*b - 7*b**3 + 3 + w*b + 0*b + 6*b**3. What is the tens digit of f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -348 + 240. Let l be 1\/((1\/(-1))\/8). Calculate the common denominator of l\/(-33)*g\/(-8) and 39\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/5 + 4194\/10 is divided by (-3)\/6*(-15 + (-172 - -17)).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11\/4, 1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101770\/11 or -9253?\nAnswer: -101770\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35166 and 2382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 + 4*c + 2. What is the units digit of u(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 85. Let c be n(-30). Let j(f) = -12*f**3 + f**2 - 5*f - 28. What are the prime factors of j(c)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/21 (b) -1.6 (c) 0.8 (d) 9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 179169, 358433, 537793, 717249, 896801, 1076449, 1256193?\n\"Answer: 48*h**2 + 179120*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 885*v**3 - 1 + 3 - 306*v**3 - 308*v**3 + 38*v**2 - 291*v**3 in the form t*v + b*v**3 + l + n*v**2 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3007958l to millilitres.\nAnswer: 300.7958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vigvgdvgvvvggqggvvvg. Give prob of sequence qvdi.\nAnswer: 1\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214055643?\nAnswer: 3, 1777, 40153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -836, 58, -3.\nAnswer: -836, -3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -3*a - 96. Differentiate -34*o**2 + 3 - 32 - 15 + a with respect to o.\nAnswer: -68*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -1. Let l = -0.102236 - -0.022236. Sort 2\/13, k, l.\nAnswer: k, l, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1408 and 47\/17248?\nAnswer: 68992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44380 and 84?\nAnswer: 133140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*h + 2, -5 = 7*a - 7*a + h - 2 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + -1 + sqrt(320) + sqrt(320))**2 + (2*sqrt(500) + 1)**2.\nAnswer: -56*sqrt(5) + 4885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53805 and 26730?\nAnswer: 95880510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v - 169 - 4*v**2 - 104*v + 169 + 0*v**2 as d + f*v + n*v**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -i - 3*i + 8, 3*g = 5*i - 10. Suppose 0 = i*c - 2*t - 218, 5*c - 553 = -15*t + 12*t. Does 55 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 175\/90) + 5 - 4. Sort s, 1, 2\/9, -18.\nAnswer: -18, s, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20) + (-4653)\/(-1980).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.908381 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y - 4. Let a be d(6). Let r be (-6 - (-7 + 3)) + a. What is the greatest common divisor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-6) + (-2)\/4. Suppose -o + 2*p = -4, 4*p = -o + 2*o - i. Calculate the lowest common multiple of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 4 - (-98)\/21. Let l = 0 + 0.3. Which is the biggest value? (a) k (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 2*v + 14. Let l be u(-6). Suppose 0 = 4*d - l*h + 6 - 0, 0 = -5*h + 15. Solve b + m + 4 = d, 6*b - 5*m = 5*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let c(x) = 2*x. Let j(m) = c(m) - 5*h(m). Let o = 0 + -1. Let p(y) = y - 1. Let r(b) = o*j(b) + 5*p(b). Let k(u) = 2*u**2. Calculate r(k(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003212 to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/2))**6)**(-8))**48 assuming x is positive.\nAnswer: x**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4262.00243 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/68 in -2, 1\/3, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 8. Let p be x*3\/(4 - 7). Solve 0 = -5*o - r + 25, 3*o - p*r + 0*r + 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4222423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177222?\nAnswer: 2, 3, 29537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 57. Suppose -4*i - 5*j + 0 = -6, x*j = -4*i + 8. Solve -18 = -2*f + i*m - 6, -5*f - 5*m = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -116?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 88\/748 + (-9632)\/952\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*b, 2 = -2*j - 4. Suppose b*t + p = -p - 8, -5*p - 24 = t. Suppose 19*h = 86*h + 469. Put t, 2, h, -2 in ascending order.\nAnswer: h, -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 2. Let p be y(-5). Let z = 2 - p. Suppose -11*q + 21 = -4*q. Solve 4*n + 12 = 0, -4*k + 8 = -q*n - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 637759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 531847844 to the power of 1\/2, to the nearest integer?\nAnswer: 23062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 402013502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 13*t**2 + 9*t - 53. What is the units digit of k(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 203212, 203121, 203016, 202897, 202764, 202617?\n\"Answer: -7*u**2 - 70*u + 203289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*b = -452*b + 5*i - 65, 0 = 4*b - 3*i + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5197 = -19*w - 1568. Suppose 2*h - 2 = h. Suppose w = h*o - 85. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 + 3*l + 3. Let n be c(-5). Let r be (-55)\/20 - (-3)\/n. Let w(h) = -h**3 - 2*h**2 + 5*h + 4. Give w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288439 by -41.\nAnswer: -288439\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4250 (base 6) to base 8.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(15\/4)\/q*q**(2\/21) assuming q is positive.\nAnswer: q**(239\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191094*v**3 + 159911*v**2 wrt v?\nAnswer: 1146564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 56*a**2 + 44*a + 144. Let j be y(-18). Let w = -3 - -5. Put j, w, -3, -0.2 in decreasing order.\nAnswer: w, j, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 56 = -6*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 - 293. Let w be -7*((j - 2) + -5). Solve -9*s + 20 = -w*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 712994?\nAnswer: -2138982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:24 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 77*t**2 + 76*t - 149. Let p be a(-78). Let l(z) = z**3 - 8*z**2 + 2*z - 14. Calculate l(p).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1856015*m**2 + 1062904 wrt m?\nAnswer: 3712030*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*o + 17 = 53, -3*q + 28 = 2*o. Suppose -6*d = -q*d + 30. Put -3, -17, d in increasing order.\nAnswer: -17, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-102) + 30783\/9486\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24*p**3 + 4*p**2 - 29. Let n(f) = -48*f**3 + 9*f**2 - 57. Let a(s) = -9*j(s) + 4*n(s). Differentiate a(g) with respect to g.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b = 5*d - 222, 5*b + 148 = 4*d. Let z = d + -40. Suppose -2\/5*r**4 + 0*r + 0 - 4\/5*r**z - 6\/5*r**3 = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y - 5*o - 30 - 17, -4*o = 121*y - 119*y + 56 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-435)\/7308*-21*1\/(1\/6)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -11. Suppose -20 = -7*u + 2*u. Let j be 4 - u - 4\/(-42). Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 56.61. Let q = -1405 - -1408.39. Let l = q + t. What is the second smallest value in 0.2, l, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 297\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from {w: 3, t: 4, x: 1, k: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81636469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -105 + 7 - 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let s = -16.2 + 16. What is the biggest value in 0.5, s, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 27.0000033. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4486 take away 20841147?\nAnswer: -20841146.5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/3*(-3)\/14. Put -0.5, m, -0.1 in decreasing order.\nAnswer: m, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002398 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(-2)\/3*(-1716)\/22165.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 7242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 58. Let y = -3 - z. Is (5\/(-10))\/(y\/2008) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-220)\/(-10) - -8) + 3. Solve 5*y + g = -4*m, 5*m + 21 = -2*y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51533 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let a be 12\/1*2\/(-4). Let l(k) = -k + 11. Let q be l(a). Let h(g) = -17 + q - 8*g. Calculate h(p(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13284 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/270*((-15)\/4)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*t = 3, -t - 3 - 19 = -2*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144111765 is divided by 1384?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15*y = 17*y + 6, -4*s - 22 = 2*y. What is the fourth biggest value in -2\/7, s, 0, -0.38?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13803 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, -f - 188 = -4*j - 20. Let x be 4\/(-10) + f\/30. Calculate the remainder when x\/15 + (-132)\/(-5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-192))\/(2\/8). What is the closest to 0.3 in 2, 11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23069 and 5?\nAnswer: 115345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10118 = -4*i - 1443, 0 = -t - i + 1736. Suppose 2*s + 4*b = 7*s - t, -4*s - b + 1368 = 0. Suppose -5*w = -142 - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sda when three letters picked without replacement from {d: 3, a: 3, w: 6, e: 4, s: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254449, 2035632, 6870273, 16285102, 31806849, 54962244, 87278017, 130280898?\nAnswer: 185497617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:12 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3322*t - 4*t**2 - 20 + t**3 + 3324*t - 10*t**2 in the form h*t**3 + y*t**2 + p*t + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d + 3469 + 3577 = 324*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8350 by 5.\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 2 x when four letters picked without replacement from {e: 13, x: 2, j: 3}?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let p = 767 - 701. Suppose -p*i - 216 = 114. Determine w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11204 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*3959 - 266\/399*6\/(-4) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361083*r**3 - r**2 - 173*r + 330?\nAnswer: 2166498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126074 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24103 (base 6) to base 2.\nAnswer: 110110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -153*n**2 + 12437670*n + 487752 = 0.\nAnswer: -2\/51, 81292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 119*c - 123*c - 7, -4*c - 10 = 2*j. Let w(l) = 2*l**2 + 2*l - 2. Let h(i) = -i**2 + 0*i**2 + 3 - 2*i - 2. Determine c*h(b) - 2*w(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1436*q + 41835 + 14169 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -124 (b) 0.5 (c) -973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3396817506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t - 7. Let v = t + 12. Suppose p - v*n - 34 = 0, 0 = p + p - 5*n - 48. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93627 and 0.4?\nAnswer: 93627.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 8. Let r(a) = -4*a - 7 - 4*a + a**3 + t*a**2 + 0*a**3. What are the prime factors of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -642, -1450, -2582, -4038?\nAnswer: -5818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -622, 375, 2220, 4913, 8454, 12843, 18080?\n\"Answer: 424*v**2 - 275*v - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/11, -1\/75 in decreasing order.\nAnswer: -1\/75, -3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53130877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/41355 + -3846223\/2150460. What is the common denominator of -45\/16 and r?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10150 - -10282. What is the greatest common factor of 99 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.188 in -37\/4, 5, -1\/9, -0.2, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0187 - -0.2813. Which is the closest to 1\/3? (a) p (b) 3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41043118685 and -2?\nAnswer: 41043118687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:18 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-226)\/(-339)*153\/30.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12\/7))**25 assuming q is positive.\nAnswer: q**(-300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 (base 10) in base 8?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171 - 2*y**2 + 109 - 111 - 357*y with respect to y.\nAnswer: -4*y - 357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - r - 11 = 0, -10 = -p - 2*r + 4. Suppose -2*y + 0*y = 32. Calculate the remainder when (-4)\/(y\/6 + 2) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/12 + n**3\/3 - 3*n**2. Let t = -5 - -2. Is 8 a factor of v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.39 * 0.6.\nAnswer: -18.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52\/265 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -26.2484488355.\nAnswer: 13.2484488355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*m + 2*m - 7, -4*m - 16 = 0. What are the prime factors of ((-25)\/(-5) - 6)\/c*-587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (-12 - (11 + -18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 25*g. Let b = 22 + -20. Let i(k) = 13 + 3*k**b + 18 - 31. Determine c(i(a)).\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39592, 39802, 40026, 40270, 40540, 40842, 41182?\nAnswer: 41566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 8*y**2 - 3*y - 11. Let l be s(6). Let m = 127 - -217. Calculate the greatest common factor of l and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 3\/49 (b) 2\/17 (c) 6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-36) + (-22)\/(-99)*(-2 + -1) and (-20)\/(-16)*(-174)\/(-99)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - p = 3*r + 139, -4*p = -5*r + 182. Let b(z) = 884*z + 3621. Let j be b(-4). What is the greatest common divisor of j and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q. Let h(j) = -631*j**2 + j. Calculate h(s(x)).\nAnswer: -30919*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 256, 443, 630, 817, 1004?\n\"Answer: 187*w + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078499 micrograms in kilograms?\nAnswer: 0.000000000078499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114544 and 8?\nAnswer: 114544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12 = -2*h, -10*h - 5*b + 9 = -11*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.74 * -54.\nAnswer: -363.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/(y\/(y*y**(-13))*y)*y**(-2\/17)*y**(-1\/8)\/y)**(-21) assuming y is positive.\nAnswer: y**(72093\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1902a8?\nAnswer: -1902aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -90. Solve -8\/3*b**3 + 0*b - 2\/9*b**u + 0 + 4\/3*b**4 + 16\/9*b**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -560?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/3 + 5*l**3\/9 + l**2\/6 - 5. Determine s so that a(s) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 + p**2 - 16*p + 72. List the prime factors of i(5).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.1, 5, 1, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 + 2*b**2 - 4*b**2 + (3*b**2 + 0*b**2 - 4*b**2)*(3 - 4 + 3).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18807289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2. Let v(a) be the first derivative of a**4\/6 + 39*a + 4. Let t(h) be the first derivative of v(h). Determine c(t(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l - 2 = 75*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 29 = 6*t - 11*t, 4*t = 2*g - 16. Suppose 0 = -5*m - 15, 2*a = -m - 3*m - 12. Solve -c + 10 - g = a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/27 + (-58)\/(-18). Let n(z) = -z + 1. Let t(x) = 3*x + 9 + 8 - 24. Let f(a) = 5*n(a) + t(a). What is f(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfffyfyvsykoyyyoyk. Give prob of sequence ovky.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 33*b**2 + 96*b - 267. Give d(-19).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n + 6. Let t(m) = -26*m + 11. Let v(j) = 11*g(j) - 6*t(j). What is v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2. Let p be (-21)\/(3\/(-6) - 1). Let x = p + -5. Let a(l) = 15*l - 5*l - x*l. What is t(a(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.0312 + -0.0688. Let z = p - -45.2. Does 2\/13 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1185\/(-12))\/(1\/(-4)). Let y be (4\/10)\/(2 + 29\/(-15)). Suppose n = -u + y*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/4 - 8*w**3 + 41*w**2\/4 + 63*w - 99 = 0?\nAnswer: -33, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17505 and 45290103.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/54 and 19797\/51408 + 1\/(-9) - 1\/7.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 11*w**2 + 2*w - 18. Give q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3\/66466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 - -22. Let d = f - 199. What is the highest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(3*z - 5*z - 4*z + (-1 + 4 - 1)*(-3*z + 3*z - 2*z) + 0*z + z - 3*z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39.65105043388 and -0.037?\nAnswer: 39.68805043388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864\/5*a + 156\/5 - 594\/5*a**3 + 21\/5*a**4 + 1281\/5*a**2 = 0. What is a?\nAnswer: 2\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 + 6*g - 3. Let a be s(5). Suppose 2*i + a*i - 528 = 0. Suppose 0 = 2*m + n + 3*n - i, 0 = m + 4*n - 70. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -60116*r + 360697. Give d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxzz. What is prob of picking 1 z and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18 = -999. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26541*a + 16534.\nAnswer: -26541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*z + 2*q, z - q + 58 = 69 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 2\/349, -4, -1450, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccbcbcc. What is prob of sequence cc?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/((46 - 2)\/(-11)))\/(-1). What is the biggest value in -11\/4, m, -11, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*o = 1685008, 0 = -4*k + 3*o - 5*o + 1685010. Suppose 4*g + k + 118747 = 0. Let n be g\/(1 - 122\/120). What is n rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 14. Let t = -8 + x. Let z be (-1)\/t - (-84)\/16. Solve -2*f = z + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 83*u + 15. Let m be z(-13). Let x = m + 560. Solve -4 = x*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 - 3 + 6 - 2 - 1 + 1 - 1 + (-2 - 4 + 4)*(-1 + 1 - 2) + 2 + 0 - 4 + (1 - 9 + 5)*(3 + 0 - 5))*(3*n**3 - 6*n**3 + 6*n**3).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**3 + 3*j**2 + 3. Let v(y) be the third derivative of y**6\/60 + y**5\/60 + y**3\/6 - 11*y**2. Give 3*m(r) - 8*v(r).\nAnswer: 2*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 457775 smaller than 457770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*z - 14 = 239*z. Suppose -8\/9 + 8\/9*i - 2\/9*i**z = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 816735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/8 - 12\/(-16). Let a = o - -12. Let s = -3417\/28 - -489\/4. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*h + 5 - 4 - 1.\nAnswer: 190*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*((sqrt(637) + (sqrt(637)*1*4 - sqrt(637)) - 3*sqrt(637)*-4)*3)**2.\nAnswer: -2935296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 1, -5*z + 11 = -3*w. Let q be ((-5)\/10)\/(z\/(-52)). Let t = 34 - q. Which is the third biggest value? (a) -2\/3 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*p + 16, 26 = 5*p - 4*j + 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x - 6. Give y(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1041*h - 46823. Determine f(45).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10003320 (base 4) in base 7?\nAnswer: 66330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*r - 1, -3*r - j = r + 23. Let f(d) = d**2 + 5*d + 5. Let b be f(r). Suppose 2 = b*k - 703. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.071 + 0.029. Which is the closest to 0.9? (a) -0.1 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i - 3. Let c be p(-2). Suppose -15 = -5*z, -23 = -2*t - 4*z - 1. What are the prime factors of (-2)\/t + (-387)\/c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**16*s\/(s\/((s*s*s**(-27))\/s)))\/((s\/s**(-1\/33))\/s*s\/((s*s**(-32))\/s*s)) assuming s is positive.\nAnswer: s**(-1387\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - 17*m**2\/2 + 5*m. Find the first derivative of c(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:45 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/6 (c) -89 (d) 501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 2*s - 7*s + (-3*s + 4*s - 5*s)*(1 + 3 - 2) to g*s + c and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 171\/8, 364, -5?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -38. What is the remainder when 3*29 + h + 13 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 6}. What is prob of sequence okk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931444?\nAnswer: 2, 482861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 54. Let r(w) = -2*w**2. Let k(q) be the third derivative of 2*q**5\/15 - 2*q**2. Let v(c) = g*r(c) - 2*k(c). Let b(a) = -7*a**2. Calculate v(b(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 162063 divided by -3\nAnswer: -54021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (5 - ((-8 - -5) + 12))) + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5))\/(78\/585)*(-14)\/((-140)\/25)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 3*g**3 - 7*g**3 + 3 + 0*g**3 wrt g?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 0*s**2 + s**2)*(4*s + 2*s - 5*s)*(-2*s + 3*s - 2*s).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*q + 137*q + 383*q to v*q + t and give v.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5346 and -0.5951037?\nAnswer: 5345.4048963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 256 and 0.21557?\nAnswer: 55.18592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13138842*l**3*x**3 - 47*l**2*x**3 - l**2*x - 72*x**3 + 64*x**2 wrt l?\nAnswer: 78833052*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21126239 to the nearest integer?\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:35 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4594462361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 4348*o**2 + 150945*o - 355. Determine q(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 12645\/12643?\nAnswer: 12645\/12643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 2. Let u = -2 + 46. Let i = u - 42. Let c(y) = 6*y**3 + 6*y**3 + i - 4 - 17*y**3. What is 5*c(d) + 6*p(d)?\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*u**2 + 818 + 211*u**3 + 6*u**2 + 6*u**2 - 1257 wrt u.\nAnswer: 633*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjvjjjjjvvvvvv. What is prob of sequence vv?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (89 - 82 - (74 + -1 - -2) - -6).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1478163908 by -338.\nAnswer: 4373266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 5*i + i - 7*i. Suppose o - 4*o = 3. List the prime factors of y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 413 = 4*i, i = -3*i + 3*v + 419. Calculate the smallest common multiple of 6 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104105 (base 7) to base 2\nAnswer: -100011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 4*u**2 - 2*u - 7. Let i be -1 + 0 + -2 + -3. Is a(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c**2 - 15*c - 15. Let t(j) = -4*j**2 + 5*j + 5. Let p(i) = 3*s(i) + 8*t(i). Let x = 14 + -16. Let y be (x\/(-3))\/((-14)\/(-105)). Calculate p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 5*q**4 + 4*q**4 + (q - 3 + 3)*(0*q**3 + q**3 - 2*q**3) + (20 - 47*q - 20)*(q**3 - 5*q**3 + 3*q**3) - 2*q**4 + 3*q**4 + 8*q**4.\nAnswer: 57*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 23.\nAnswer: -3, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g**2\/13 + 2282*g\/13 + 114\/13 = 0. What is g?\nAnswer: -57, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1243 by 113.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, -38 = 3*y - 5*y + r. What is the greatest common factor of y and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*x - 8, 2*x + w = -3*x + 17. Let c = x - 1. Solve 5 = -c*t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3759 + 5919. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13569 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -69798, -1018, 0 in descending order.\nAnswer: 5, 0, -1018, -69798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.15 - 0.15. Let y = 0.1 + 2.9. Let p = 60 - 182\/3. Which is the nearest to 0.1? (a) y (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65660 and 75040.\nAnswer: 525280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = 4*g - 6, -n - 11 = -4*g. Suppose 2*q = -h - 0 + 3, h = q + g. Let k(i) = i**2 + 8*i. Calculate the lowest common multiple of h and k(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.2 - 92.1. Which is greater: 181 or d?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 - 2 - j**4 + j - j**2 - j**3 + 4*j**2.\nAnswer: -(j - 1)**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/66 + 4\/6. Let s = 34 - 29. Suppose s*v - 6*h = -4*h, v = h. Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.5 (b) -5 (c) 3\/1120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6\/8) - (128775 - 128749)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(66))\/sqrt(6).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 86*u**2 - 1440*u - 3204. Let a(r) = -2*r**2 + 1. Let g(v) = -4*a(v) - l(v). Find s, given that g(s) = 0.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - (-4 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4 + 812\/8)\/(-35 + 36). Solve -36*s + h = -43 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/7))**11 assuming i is positive.\nAnswer: i**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + u + 72 = 0, 3*u = -n + 23 + 11. Suppose 2*m - n = 39. Suppose m*l = 27*l. Solve l*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7445 not equal to 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96, -347, -754, -1317?\n\"Answer: -78*g**2 - 17*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366744 divided by -6.\nAnswer: -61124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:42 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -66. Suppose 2*p = -q*s + 21, -4*s + 37 = 4*p + s. Which is the second smallest value? (a) p (b) 7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 5 - 5)*(56*u - 109*u + 55*u + 33*u**2).\nAnswer: 132*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9316*q**3 + 9329*q**3 + 54237437 - 54237437.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, -5, -4, 0 in decreasing order.\nAnswer: 0, -3, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - u**2 - 4 + 2*u)*(-4 - 3 + 5).\nAnswer: 2*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -17*l + 0*l**3 + 0*l**5 + 0 + 0*l**2 + 7\/2*l**4 - 2*l**6. What is the third derivative of n(o) wrt o?\nAnswer: -1440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 60 = 6. Let n(z) = z**3 - 3*z**2 - 4*z - 5. Let g be n(5). Solve -4*a + t*a + g = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = a, -3*m + 4*a + 1365 = 1312. Suppose -4\/3*z**2 + 0 + 0*z + 1\/3*z**m + 1\/6*z**4 = 0. Calculate z.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*l**2*v**2*x**3 - 14*j**2*l**2*v*x - j**2*x**3 + 5*j*l*x**3 - l*v*x - 5*l*x**3 - 17*v**2*x**3 - 4*v**2*x wrt l?\nAnswer: 8*j**2*v**2*x**3 - 28*j**2*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.2326.\nAnswer: -0.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 13*m + 7. Let n be z(-10). Suppose -13 - n = -5*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59310 is divided by 4064?\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {z: 1, p: 2, d: 1, f: 1, h: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:27 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:20 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 32 = 17*j + 13*j + 3*r, -4*j + r = 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372875?\nAnswer: 5, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 9*y**2 - 11*y - 10. What is the units digit of z(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/6 + 329*x**2\/3 - 832*x + 3045\/2 = 0. What is x?\nAnswer: -29, 3, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7534 is divided by 1280?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111111010000 + 1100?\nAnswer: -100111111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zznznddndnzndzddzdz?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvtv when four letters picked without replacement from {t: 2, v: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -167926 times 1054?\nAnswer: -176994004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2030012 and 4060024?\nAnswer: 4060024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*r**2*w + 26*r*w - 2*r + 4*w wrt r.\nAnswer: 186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 10. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 774?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -6.2. Let w = 3.21 + -0.21. Put w, -3, h in decreasing order.\nAnswer: h, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*g + 58 + 38 = 0, -g = 5*r + 130. Let b = 30 + r. Let s(a) = -3*a + 7*a**2 + 7*a + 2*a + a**b. Determine s(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 90\/19, 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyyydyyyyyyy.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 33*b - 36. What is h(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (6 - (10 - 9)) + -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 376744, 376723, 376700, 376675, 376648, 376619, 376588?\n\"Answer: -f**2 - 18*f + 376763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w**3 - 210*w**2 - 8*w - 2. Let f(k) = -36*k**3 + 419*k**2 + 20*k + 5. Let m(v) = 2*f(v) + 5*s(v). Find the third derivative of m(d) wrt d.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 15. Let k = 3 + g. What is the second derivative of -3*r - 4*r + 10*r**4 - k*r**4 wrt r?\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 12) in base 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (192 - (0 - 2)). Let h = -639 + u. Let o be h*(-5)\/10 - 1. Calculate the highest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 + (88 - 80)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 135621906 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(19) - (-2 + 2*sqrt(19)))*4)**2 - (1 + -3*(1*sqrt(76))**2).\nAnswer: -64*sqrt(19) + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 7. Let y be x(-10). Let i = 7 + -5. Put i, y, -3 in decreasing order.\nAnswer: y, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-86)\/(-28) - (-10 - -13). Let k(q) = q**2 + 5*q + 1. Let h be k(-5). Are h and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -2, 2*c + 9 = i. What is the first derivative of -4*g + 12*g - 36 - i*g - 9*g wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 5*c - 45 = 19*j, 5*j - 5*c - 35 = 0. Solve -20 = 4*v + 6*z - z, -5*v + 2*z = -j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 29*k = 63. Let y be 11\/(198\/(-8))*k\/2. Solve -2*t + 10 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -349*d**3*g**3*i*n - 2*d**3*g - 103314*d**3*i + 793*d*i*n + g**3*i + g*i wrt n?\nAnswer: -349*d**3*g**3*i + 793*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + 6 + 4 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 11) in base 5?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4186 and 19481.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -137, -1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*d = 142*d - 324. What is the remainder when 161 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**5\/10 + 22*i**3\/3 + i**2\/2 - 58. Let n(z) be the third derivative of q(z). Let o(x) = -2*x. Give n(o(m)).\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003079?\nAnswer: 7, 11, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13121121 + -2?\nAnswer: 13121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -1\/30*k**5 - 1\/300*k**6 + 0*k**3 - 29 + 0*k - 2*k**2 - 1\/10*k**4. Factor u(l).\nAnswer: -2*l*(l + 2)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f + 2. Let s(z) = -z**2 + 3*z - 1. Let b(j) = -k(j) - 5*s(j). Calculate b(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25524, 24884, 24244, 23604, 22964?\nAnswer: 22324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 9*d - 8. Let b be l(-8). Suppose -w + b*w + 2 = 0. Let v be 110\/24 + ((-8)\/(-4) - 6). Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and -6883303?\nAnswer: 6883303.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 10408*u - 73027. Determine r(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1577 - -1578. Let p = -12 - -14. Let i(y) = -y**3 - 2*y**2 - 2*y - 1. Let a(m) = m**2 + m. Determine c*i(g) + p*a(g).\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 873183.8ml?\nAnswer: 873.1838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 21*r + 77. What is the remainder when 30 is divided by y(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56232660035+-0.158\nAnswer: -56232660035.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4955 - -163511\/33. Is 18 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 941 = 3*z, 5*c = -2*z + 671 + 268. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p - 58. Let a(t) = -10*t + 57. Let s(v) = -5*a(v) - 6*d(v). What is the tens digit of s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/21)\/(10\/(-28) + (-47)\/(-329)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a1b - -380a?\nAnswer: 7629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 15*l**4 + 7 + 0*l + l - 1229*l**3 + 1217*l**3 - 5*l**2 as i*l**2 + m*l + u*l**4 + z + n*l**3 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1188 and 37\/594.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 89 = 3*c. Suppose 2*o - c = -o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**6 + 1\/30*i**5 + 0 + 1\/21*i**7 - 1\/6*i**4 + 0*i**3 + 0*i + 23*i**2. What is the third derivative of n(w) wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (47\/94)\/((-3)\/(-15324)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:35 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12729, -20006, -27283, -34560?\n\"Answer: -7277*d - 5452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/5 + 411*g**3\/5 + 1677*g**2\/5 + 2109*g\/5 + 846\/5 = 0 for g.\nAnswer: -2, -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5584 = -11*a - 13515. Let g = a + 2200. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*k - 563*k**2 + 599*k**2 - 183*k - 14.\nAnswer: 36*k**2 + k - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**21\/m*m)\/m**(1\/8))\/(m\/m**(-6)*m**3*m*m) assuming m is positive.\nAnswer: m**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:15 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfop when four letters picked without replacement from {p: 1, c: 2, t: 1, o: 1, n: 1, f: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 110\/(-77)*(-7)\/2. Calculate the greatest common divisor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/5 + 136*p**3 + 678*p**2\/5 = 0.\nAnswer: -339, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, -2*z - 4*a = -0*z - 88. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 6, u: 2, m: 4, t: 2}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v = -49*v + 1590. Solve 2*x = 4*h + h + v, -3*x - 35 = 4*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74641183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 8*v**2 + 3*v - 7. Let d = 17 - 9. Let j = -36 + 69. Calculate the remainder when j is divided by h(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u - 24. Let l be m(-4). Suppose 4*k - l = -24. What is the second derivative of 13*q**3 - k*q - 11*q + 0*q wrt q?\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k. Let b(m) = -10*m - 97. Calculate b(y(x)).\nAnswer: -70*x - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t. Let f(d) = 1510 + 1513 - 3023 + 10*d**2. Calculate f(u(y)).\nAnswer: 4000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056544.\nAnswer: 2, 109, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16200 and 2002500?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260509815 to the nearest integer?\nAnswer: 16140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 10*q - h + 6 = 0, 0 = -4*h + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*m - 60, 0 = 3*w - 4*w - 5*m + 32. What is the remainder when 17 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263465947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18)\/n**(-5\/13))**18 assuming n is positive.\nAnswer: n**(-4122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72895*a**4*d**2 - 15*a**3*l + 250*a*d*l + a*d + 33*d**2*l - 1 wrt a?\nAnswer: 874740*a**2*d**2 - 90*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 - -5.1. Let w = -11.9 + l. Let h be (-3 + (-30)\/(-6))\/(3\/(-1)). What is the third biggest value in w, h, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392859301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from btbtbtbtbbtb.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -0*s. Suppose 0 = -4*d - 6 + 30. What is the greatest common divisor of s and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3*f**5\/5 - 5*f**2\/2 - 2. What is the second derivative of l(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 37891290?\nAnswer: -37891275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b = 87. What is the remainder when b is divided by ((-12)\/3 - -18) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*h - 30*h + 66*h)*(-2*h + 3*h - 2*h)*(2 - 2 + 2*h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + z. Let j be i(4). Let q = -2 + 14. What is the greatest common factor of q and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5378 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: What is the third derivative of 39366*j**3 - 47*j**2 + 241*j wrt j?\nAnswer: 236196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus 2.18128?\nAnswer: 2.30128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + r**2 - 2)*(36 + 72 - 6) as z + x*r**2 + m*r and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6.8. Let g = v - 0.98. Let x = g - 0.32. Put 0.5, x, 1 in descending order.\nAnswer: 1, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -279\/2*p - 63 - 13\/2*p**2 = 0.\nAnswer: -21, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (66 + -70 + 1 + -6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**4 - 3130*l - 2*l**4 + 0*l**2 + 0*l**2 + 4*l**2 + 3246*l to the form o*l**2 + b*l**3 + q*l**4 + t*l + p and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -22349213.\nAnswer: 2\/22349213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 17*i + 20. Let n(h) = -h**2 + 16 - 15*h + 2*h**2 + 24*h. Let l be n(-7). Put 0, i, l, -5 in ascending order.\nAnswer: -5, 0, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 1175?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -222301 (base 4) in base 10?\nAnswer: -2737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > -1\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, p: 3}. What is prob of picking 2 p and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 4, 2\/3, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-16) - -6)\/((1\/(-4))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -9.08.\nAnswer: -18.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10 + 2 + 10*n + 1 - 17. Suppose 0 = -6*g - 3 + 21. What is the remainder when 49 is divided by z(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o - 360*o = -18619 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(-38)*4332\/2. Is -1084 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + -52. Find the common denominator of (-92)\/14*m\/429 and 5\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 4 = -d, 4*d - 20 = 5*u. Let k be (d + 2)*(-3 + -1). Sort 5, k, -2.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304044210 (base 5) to base 16.\nAnswer: 12e1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (43 + -78 - -57)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 57. Calculate the remainder when 35 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(9)\/sqrt(3)) + 3.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/21772 and -49\/55981255.\nAnswer: 223925020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 21*d**2 - 23*d - 17. Let i be q(-22). Let r(b) = b**3 - 4*b**2 - 5*b - 5. Give r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from cnznzvz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 0 + sqrt(1700) + (sqrt(1700) + 2)**2 + -3)*1.\nAnswer: 100*sqrt(17) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209745497 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -176, 0, -58 in increasing order.\nAnswer: -176, -58, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(2\/4). Find the third derivative of 6*c + 2*c**2 - 6*c + 4*c**3 - x*c**3 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**2 + 5*m - 11. Suppose -6*p = -p + 50. Is t(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.5938ml to litres.\nAnswer: 0.0625938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5443.\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n**2 - 5*n**2 - 9*n**2 to y*n + m + t*n**2 and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 11 = -2*c + 2, h - c = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 90 + 39. Let a = -61 - m. What is the third biggest value in 3, -2\/17, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4)\/sqrt(2) - sqrt(96)\/sqrt(3))**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n**4*p**3*r + 3*n**3*p**3*r + 33*n**2*p**2*r - n**2*p*r - 4*p**3*r - r wrt n?\nAnswer: 264*n*p**3*r + 18*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073788 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 12*a**2 - 9*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Let c = -15 - -9. Let b = 8 + c. Solve g*w + b*w + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 133203, 134850, 137595, 141438, 146379, 152418, 159555?\n\"Answer: 549*z**2 + 132654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7018 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272381?\nAnswer: 272381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6635321 and 401302?\nAnswer: 384848618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15202532 and 409.7?\nAnswer: 15202122.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agn when three letters picked without replacement from {p: 2, h: 2, g: 1, n: 4, a: 2, z: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827089100270 - 0.1?\nAnswer: 1827089100269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/4 - -3)\/(-4 + (-62 - 0)) and -87\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 - 142 = -3*x, -5*x + v + 211 = 0. Calculate the highest common divisor of 63 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/75 and -19\/1540125.\nAnswer: 1540125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1299507 and 33435?\nAnswer: 19492605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925936144 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13057 = -703*x + 1219 - 14173 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 973238 from -0.1.\nAnswer: -973238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 10. Suppose 5*a = k + 8, 0 - 2 = -j*a + 4*k. Solve 5*v = a*i + 11, 5*i + 3*v + 1 - 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + -2 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/12796 and 91\/210220?\nAnswer: 1471540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 15 = 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n + 0*n**3 - n**2 - 1\/30*n**5 + 0 + 0*n**4. Let w(u) = -3*u**2. Give w(l(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -a?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5418656 (base 11) to base 7.\nAnswer: -143662450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*s + 6135643 + 1476682 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/7, 2361, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.447 - -0.153. Let j = 0.4 + a. Let c = j - 18. Put -2, 0.01, c in descending order.\nAnswer: 0.01, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662311.3 years to millennia.\nAnswer: 662.3113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, 3, -30\/187 in increasing order.\nAnswer: -0.5, -30\/187, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 305.5 - -3222965520\nAnswer: 3222965825.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*q**2 + 1639 - 1639.\nAnswer: -570*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6099 less than -91474\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 20. Let g be d(-3). Suppose -u - g + 67 = 0. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34841 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0*f - f + 3*f to m + t*f and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121658277 divided by 3119443?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from znzafzafsnnn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2105007409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -109.5. What is the third biggest value in -0.2, -3, -8, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -64*v**5 - 4192*v**4\/3 - 10228*v**3\/3 + 2086*v**2\/3 + 640*v\/3 - 38 = 0.\nAnswer: -19, -3, -1\/4, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822 (base 13) to base 14.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42376 + 20504 = 990*r + 17675 - 8255 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170949 divided by 1?\nAnswer: -170949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 5*p**2 - 2*p + 14. Let h be r(5). Suppose 7*f - 11*f = -h. Sort 26, f, 3\/5 in increasing order.\nAnswer: 3\/5, f, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 4.6311\nAnswer: -1.85244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + 0 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 11*h + 6. Suppose g + 3 = -s, -2*s = 2*g + 3*g. Let m be y(s). Suppose 3 = -p + m. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 17 + 2)*(-p - 3 + 3).\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 17*q**2 - 35*q - 17. Let z(s) = s**2 - 2*s - 1. Determine -f(o) + 11*z(o).\nAnswer: -6*o**2 + 13*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1*-6 + (2*(sqrt(68) - sqrt(68)*1 - sqrt(68)) + sqrt(68) - sqrt(68)))\/((sqrt(8) - 2*sqrt(8)*-3)\/sqrt(2)*-4))**2*-1.\nAnswer: -17\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -41.\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*n + 50, -r + 99 = -4*n + 70 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - v - 3*v)*(-2*v**3 + 2*v**3 - v**4) + (0*v - 2*v**3 + 0*v)*(-6*v + 6*v + 24*v**2).\nAnswer: -49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k**2 - 210*k + 78. What is g(-13)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**7\/840 - z**6\/72 + z**5\/120 + z**4\/24 - 2*z**3 - 3. Let o(y) be the third derivative of p(y). Does 2 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:09 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-9)\/9)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6444\/25 + 16752\/65. Find the common denominator of b and 8\/91.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/5 - 986*l\/5 - 7740 = 0. Calculate l.\nAnswer: -450, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.07 * -2.2.\nAnswer: 28.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*h**4 - 10076*h**3 - 2*h**2 + 7509*h - 583?\nAnswer: -1200*h - 60456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, -651, -4, -0.3 in descending order.\nAnswer: 3, -0.1, -0.3, -4, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + g**3 - 15*g + 1 + 9 - 8*g**2 + 2*g. Let x be f(12). Let a = x + 145. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-5) - 18\/45. What is the tens digit of (288\/4)\/y + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 + 0*k**2 + 1\/9*k**3 - 1\/63*k**7 + 1\/9*k**4 + 3*k - 2\/45*k**6 + 0*k**5. Let z(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 945329 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*o - 16 = 0, 0*u - 12 = -2*u + 3*o. Let n = 46 + -34. Suppose -u*k = -4*b - 9, 3*b + n = 4*k - 0*k. Solve 1 = -d - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19169 is divided by 4924?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66 + -78 - (-176 - 1). Let q = -17 - -32. Calculate the greatest common divisor of i and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836 divided by -3?\nAnswer: -5836\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 22*u = -35*u + 770 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (288\/(-84))\/(3*2\/42). Let u = w - -103. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/2 + 553*a**3 - 127866*a**2 + 8197900*a + 34872976 = 0.\nAnswer: -4, 146, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) + (-48)\/(-9). Let c be 501\/33 - v\/33. What is the greatest common divisor of c and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 2, g: 2}. What is prob of sequence jgg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b*b)**44\/(b**(-4\/7)*b)**(-46))**(15\/2) assuming b is positive.\nAnswer: b**(12585\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 30*b**2 - 37*b + 160. What is the remainder when g(-29) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g - 7. Let q be d(-6). Let n = q + 147. Calculate the common denominator of n and 16 - ((-45)\/6)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 6. What is the units digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1089503*c**3 + 556675 with respect to c.\nAnswer: 3268509*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2. Let x(j) = 593*j - 9. Let c(r) = -148*r + 2. Let b(a) = -9*c(a) - 2*x(a). Give h(b(d)).\nAnswer: -63948*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75308858.\nAnswer: 2, 31, 1214659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2.22. Let q = -1.58 + y. What is the third biggest value in 0.4, -0.5, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1247.334526 and -0.07?\nAnswer: 1247.404526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 445, 1396, 2981, 5200?\n\"Answer: 317*p**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -15. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 4*w - 112 = 0, -3*w - 3 = a + 2*a + 18 + 60 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 5*z, 3*z - 3*n + 6 = 8*z. Suppose 12*x - 8*x - 12 = z. Let m be x\/12 + (-279)\/(-36). Solve 4*d - 37 = -m*u + 3*u, u = d + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -20, 10, 0, -4.\nAnswer: -20, -7, -4, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -160, -227, -312, -421?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v. Let y(b) = -24*b + 162. Let r be y(6). Let d(p) = 15*p + 94*p - r*p + 13*p. What is d(n(z))?\nAnswer: -416*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkfkkkkkjkkkkkkkk. Give prob of sequence fkk.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1)*5*-2.\nAnswer: -80*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109.97 + -110. Let d = 44658.09999891 - 44658.07. Let k = d + t. What is k rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -233*m**2 - 3*m - 1. Let w(h) = 235*h**2 + 4*h + 1. Give -4*l(r) - 3*w(r).\nAnswer: 227*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 319\/145 + (-2)\/10. Suppose -5*o = -f - 8, p*f - 9 = 2*o - 1. What is the second derivative of -2 - 18*c**3 - 4*c - f*c + 18*c - 9*c wrt c?\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**2 + 3\/2*z**4 + 216 - 144*z + 12*z**3.\nAnswer: 3*(z - 2)**2*(z + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7)*-5 + 5 + 3*sqrt(7))**2 - (-1*sqrt(448)*-1 + 4)**2.\nAnswer: -184*sqrt(7) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 1. Suppose -4 = 2*g + 2*j, -5*g + 1 - 19 = -3*j. Let b be y(g). Solve 2*q - 4*p - 4 = 0, -4*q + 0*p + b = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19107, 37733, 56359, 74985?\n\"Answer: 18626*q + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (sqrt(19) + sqrt(171) + -4))**2 - (sqrt(475) + -2 - sqrt(475))**2) + -2)*2.\nAnswer: -48*sqrt(19) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/14 - (-1794)\/4914.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70108264 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17987 + -17986.7. Which is the fourth biggest value? (a) h (b) -1\/3 (c) 3 (d) -153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 - -11ac?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 56, 33, -28, -139, -312?\n\"Answer: -2*f**3 - f**2 + 20*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v - 1. Let f be -6 + (-9 + 1)\/(-2). Is t(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 5*i + 7*i + 18 - 20*i. Calculate the remainder when w(-15) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -5, -1, -7, -81, 5 in ascending order.\nAnswer: -81, -7, -5, -1, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t. Let r be n(1). Let d = r - 25. Let x(s) = s**2 - s. Let y(f) = -15*f**2 + 12*f. What is d*x(z) - y(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 104 + 8*o**2 - o**2 + 0*o**2.\nAnswer: 2*o**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30654 - 47170 = 780*u + 5887 - 17411 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99672315 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1687*z - 442. What is the thousands digit of b(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r\/(r**(-13\/3)*r))\/r)\/r**10)\/(r\/(r**(-6)\/r*r)*r\/(r*r**(1\/6))) assuming r is positive.\nAnswer: r**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5456*a**2 - 4574*a**2 + 15493*a**2 - 5462*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 1, i: 2, a: 3, c: 4}. What is prob of picking 1 c, 1 a, and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 + 16*q**3 + 30*q**2 - 16*q - 32 = 0. What is q?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**3 - 35*d**2 - 3*d**2 + 1787809*d**4 - 1787814*d**4 to the form o*d**3 + p*d**2 + c*d**4 + h + v*d and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1052 times -0.206?\nAnswer: -0.0216712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0643 + 5.0643. Put -1\/6, l, 1, 31 in ascending order.\nAnswer: -1\/6, 1, l, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2609\/77 - -248\/7. Let x(o) = 214*o**2 - o. Let y be x(-4). Let t = y - 95947\/28. Find the common denominator of t and i.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432) + (sqrt(432) + sqrt(432) + sqrt(432)*-1)*5 + 2)*4 + 1)**2.\nAnswer: 4032*sqrt(3) + 248881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -1.3. Let g = 4 + -4.8. Let i = z + g. What is the closest to -0.1 in 2\/3, i, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1019289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {l: 1, w: 2, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1977 + -1984 - ((-5 - -3) + (51 - 0)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {n: 1, h: 4, s: 1, g: 1, i: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 7536.\nAnswer: -376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091712439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6448 + -6411. Solve r = -3*f + 40 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, y: 1, j: 6}. What is prob of picking 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:28 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448020\/150 - ((-14)\/(-5) + -3) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1642162?\nAnswer: 1642167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 74236364.5753\nAnswer: 74236364.0753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -0.07, 3, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6.3014?\nAnswer: 25.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*x + 16. Solve 2*f - 3 = 5*o, 5*o + x = -2*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 91*a + 392 = 0, -190*p + 3*a - 267 = -194*p for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 6*u. Let v(k) = -2*k**2 + 5*k. Let i = -26 - -31. What is i*v(d) + 4*t(d)?\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 1490, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, 3706140, 1\/4.\nAnswer: -1\/19, 1\/4, 3706140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6315.\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43846234 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9354 + -6142. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nogg. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k - 24*k - 15794*k**2 + 15788*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 452*h + 95*h + 554*h.\nAnswer: 1101*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*n**5\/3 + 33410*n**4\/3 - 1843346*n**3 - 17329634*n**2\/3 + 72704384*n\/3 + 28156840 = 0. What is n?\nAnswer: -5, -1, 3, 1678\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*m - 32, -g + 11 = 2*m - 0*m. Let n = 29 + -29. Sort -12, 1, n, g.\nAnswer: -12, n, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 6*v - 5*v, 2*v = -6. Let i be 3\/(0 - (-3)\/3). Suppose -2*x - m*a - i = 0, 2*a - 2 = -0*x - 2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*t - 3*q**3 - 2*q**2 - 8*q*t**2 + 131*q - 704762*t**2 + 30095 with respect to t.\nAnswer: q**3 - 16*q*t - 1409524*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4222000 and -27\/3377600?\nAnswer: 16888000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9*6)\/(-1). Let p(x) = -x**3 - 2*x**2 + 6*x + 3. List the prime factors of p(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 1. Let g be u(-3). Suppose -2*y = 3*f + 2*y - 31, 4*y = -g*f + 49. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122 and -0.225089?\nAnswer: 122.225089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2531 in -33, -3, -11\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.019 rounded to zero decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -38 + 546*z - 44*z + 189*z + 100*z. Let k be m(8). Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*n + 98. Suppose n = 2*f + f. Suppose -5*t - f*v = 76 - 21, t = -4*v - 23. Let o(b) = b**3 + 6*b**2 - 6*b + 8. What is o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2574 divided by -117.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 17. Let o be x(9). Let k = o - 11. Let g(q) = q + 6. Calculate the lowest common multiple of 22 and g(k).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 - -1127. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmg when three letters picked without replacement from gjmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/11 + 134*a\/11 - 12 = 0. What is a?\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6*(-117)\/65\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h - 107. Let p be t(10). Suppose 5*g = -p*g. Solve -k = -5*q + 7, q = -3*k - g*k + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 5*v - 70, 0 = 2*j + 4*v - 32. Suppose 5*l + j = 32. Suppose 3*s = l*b + 52 - 20, 2*b + 18 = 2*s. Solve -s*z - 1 = 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3925 and 6075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 + 49*x + 157. Let b be f(-3). Solve 0 = 2*y - 5*n - 5, -12*y + n + b = -13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17384 - 7761 = -3*g - 5*j, -8 = 4*j. Let d = g - 5234. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1304, 2721, 4138, 5555, 6972, 8389?\n\"Answer: 1417*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 713\/2 + -356. What is the closest to 1\/2 in a, 3, 0.3, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4323017 a multiple of 1459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -42 - -13 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 52 + z + z)*(0 - 1 + 3).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h**2 + h - 62. Calculate l(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -14*h - 5*b + 37, -h + 10 = 4*b. Calculate the remainder when 81 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-4)))**11*(s\/(s\/(s*s**(-2\/15)*s)))**(-3\/34))**(-1\/2) assuming s is positive.\nAnswer: s**(1877\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 16. Let r be m(3). Let p = 10.73 - -0.27. Let y = p - 6. What is the third smallest value in r, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnrrfnfrnnrfnnffnffn. Give prob of picking 3 n.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -48*z + 46*z. Let k be -11*(24 + -2 - 1). Let r = z + k. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/8 + 37*l**4\/16 - 7*l**3\/2 - 69*l**2. Find x such that v(x) = 0.\nAnswer: 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {v: 5, r: 13}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 69c?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -246, -445, -664, -903?\n\"Answer: -10*p**2 - 169*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) -6.89 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 382161874 from 0.08.\nAnswer: -382161873.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 11*x - 23*x. Sort -2, 0.5, x in ascending order.\nAnswer: x, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + (5 + 3 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b. Let q(a) = -123*a + 4 - 4 + 143*a. Calculate q(w(k)).\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 4*t - 2. Let x be u(-4). Let d = 80 + x. Suppose -2*k - 6 = -d. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0206361666 rounded to 6 dps?\nAnswer: -0.020636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = w - 74. Solve h - 4 = -3*n + 6*h, 2*n - w = 4*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511409781 + 511409781 + 28*v**3.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 0.06. Let z = -3.5 - -4. What is the second smallest value in z, 2\/3, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose 2*h = -w*h - 2. Let x = 2.98 + 0.02. Put h, x, -2 in descending order.\nAnswer: x, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.7 - -475.6. Let u = z + -430. Sort 1\/3, -4, u, -17 in decreasing order.\nAnswer: 1\/3, u, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -453\/8. Suppose 0*v + 48 = 3*v. What is the common denominator of -1*54\/v + 0 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(1\/42)\/(q**(4\/7)*q\/(q*q*q\/q**(-2\/11)*q)) assuming q is positive.\nAnswer: q**(2423\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-12))\/(31\/93*-77).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24646 (base 7) to base 4.\nAnswer: -1211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/((-616)\/(-3))*-18 and -45\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -40*v**3 + 7*v**2 - 7*v. Let q(r) = -13*r**3 + 2*r**2 - 2*r. Suppose 0 = -3*n - a - 15, -3*n + 538*a = 533*a + 51. Determine n*q(h) + 2*y(h).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5003, 19985, 44939, 79859, 124739?\nAnswer: 179573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -54*l**3 - 31*l - 2. Let f(i) = -18*i**3 - 10*i. Calculate -7*f(z) + 2*y(z).\nAnswer: 18*z**3 + 8*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*t + 11 = -622*t + 3*r, 0 = -t + 3*r - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 11*b + 24. Suppose 0 = -b*m + 2, -m + 6 = c - 4*m. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -154?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1167314*t - 111 + 1167315*t - 63 to the form r + h*t and give r.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 18 + -10 - -4 - ((2 - 14) + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 4652*k - 755013.\nAnswer: (k - 4809)*(k + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.429 + 4.571. Let f = -13.4 + 13. Which is the smallest value? (a) 7 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -19. Let h(b) be the second derivative of b**4\/12 + b**3 + b**2 - 5*b. Let i be h(j). Calculate the greatest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 10*o + 1. Let l be y(-2). Solve -l*s - 2*v = 6 - 15, -8 = 2*s - 5*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188105.\nAnswer: 5, 17, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let m be (-5 - (-19974)\/4158) + (-14)\/(-63). Do m and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1607*-0.022.\nAnswer: -35.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11682 is divided by 87.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5889\/610 + -46\/61. Calculate the common denominator of 1\/11*-8 - 3 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -2 (c) 1589\/4 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41277.\nAnswer: 3, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 9783*m\/4 + 29331\/2.\nAnswer: (m - 9777)*(m - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 137?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2\/3 + 1153820*b\/3 - 5769200\/3 = 0.\nAnswer: -288460, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203 - 32023013032?\nAnswer: -32023022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k + 640. Let c = -416 - -405. Find the common denominator of -17\/22 and 24\/k*c*1.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v + 0*v)*(-3 + 1 + 1) + 4 - 4 - 4*v + 2*v + 4*v - 4*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 554 and 11?\nAnswer: 6094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1554 + 1572. Let s be -1 - 9\/z - (-1413)\/6. Let k = 66 + -40. Calculate the highest common divisor of s and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:07 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, x: 5}. Give prob of picking 1 i and 3 x.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (2*sqrt(200))**2 + -4).\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4893*d + 27719. Calculate v(-5).\nAnswer: 3254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134.6 + 167. Let s = 938.43 - 908. Let g = s - b. What is g rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (8 - 5 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178100 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 19\/15*y**6 + 0*y**4 + 0 + 13*y + 0*y**5 + 5\/2*y**2 + 0*y**3. Find the first derivative of r(w) wrt w.\nAnswer: 152*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/35, -533, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*k + 457, -s + 2*k - 127 = -9. Let l = 358 + s. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.399, 0.3, -4, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2744 + 298*s**3 + 2848 - 5592 - 35*s**3.\nAnswer: 263*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 7*s**2 - 8*s - 8. Let v be t(-6). Suppose 6*b = v*b + 3*l, -5*l = -3*b. Suppose -5*g + 4 = -g. Solve -x + g - 5 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*10\/(-90)*36\/14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -37 + 147 - 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/66*1764\/(-490)*2\/(-4).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (1 + (1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35494 + -35378. Suppose -5*h + 657 - 72 = 0. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 5*f - 1. Let r be i(5). Calculate the lowest common multiple of 3 and r - -9 - (5 + -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxmxmdsxfsfmfx. Give prob of sequence xm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14505466 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27258b (base 15) to base 14.\nAnswer: -36d787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 85?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(0 + 3 - 4)*(2*t - 6*t + 2*t)*(-2 + 3 + 1).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i**3 + 100*i**3 + 3*i**2 - 3*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1278, 2554, 3820, 5070, 6298, 7498?\n\"Answer: -m**3 + m**2 + 1280*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.084 - 2.584. Let y = 105\/4 + -26. Put 19, f, -1\/2, y in decreasing order.\nAnswer: 19, f, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o*o*o*o**(1\/4))\/(o*o*o\/o**(-1\/4)*o**(2\/3)) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -37. Solve -7*w + i*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 16. Let r be q(-15). Let b(f) = f**2 - 12*f - 31. Let k be b(r). Calculate the remainder when 13 is divided by 15\/20*12*k\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -0.2 (c) -1\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.68701893 + 3.687. What is q rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 3}. Give prob of sequence igii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (-2 + 6 - 2)*(-2 + 0 + 4))*(0 + 0 - 2*u**2 + (u**2 - 3*u**2 + 3*u**2)*(0 + 2 + 1)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.825393 decades to years.\nAnswer: 68.25393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -16, -13?\n\"Answer: 3*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642 - 68 = 37*r + 1 + 288 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.4, 15, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3239593?\nAnswer: 7, 31, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 3*h = 0. Let u(v) be the third derivative of 0 + 0*v**4 + 0*v**6 + h*v**3 + 0*v + 2*v**2 - 1\/120*v**5 + 1\/420*v**7. Factor u(l).\nAnswer: l**2*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21719\/9880 - 135\/494. Calculate the common denominator of -63\/1525 and d.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000358851 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 141 = -59*t - 288 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 10*o - 19. Calculate p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 0*a**2 - 2*a + 0*a**3 - 1\/4*a**4 + 3\/20*a**5. Find the third derivative of t(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8826, 70610, 238304, 564864, 1103246, 1906406, 3027300?\nAnswer: 4518884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753923798 to the power of 1\/3, to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592615.44us to hours.\nAnswer: 0.0001646154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 0.249?\nAnswer: 0.249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431679 is divided by 8464.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 4*o + 1. Let t be c(-3). Let l = t - -2. Let w = 475 - 473. Solve l*x = w*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, k: 5}. Give prob of sequence kkkd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 - 43*f**2 - 14*f + 136. Determine u(8).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -46. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -482 * 496\nAnswer: -239072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -10 + 6 + 4. Let o(u) be the third derivative of 0*u - 2*u**v + 1\/6*u**4 + 0 - 1\/12*u**5 + 0*u**3. Find the second derivative of o(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -50.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.435511ns?\nAnswer: 0.000009435511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {n: 2, s: 4, a: 2, d: 3, e: 1, t: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(15555\/153)*14\/(-2).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 158, 279, 438?\n\"Answer: 19*m**2 + 26*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39827.\nAnswer: 39827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 137*v + 1564. What is the remainder when c(1) is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419421310 to the power of 1\/3, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355619 is divided by 273.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:17 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 27783371?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i. Let u(f) = 7118*f**2 - 3 - 7294*f**2 + 3. Calculate u(s(p)).\nAnswer: -29744*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 34*k - 27. What is m(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 59, 2, 509, 6 in ascending order.\nAnswer: -1, 1, 2, 6, 59, 509","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:29 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9383 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u + 7. Suppose 0 = -4*x - 3*r - 4563, 0 = -2*x - u*r - 0*r - 2282. Round x to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000656364206 rounded to six dps?\nAnswer: -0.000656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 127, 16, 0.8, -0.4 in ascending order.\nAnswer: -0.4, -0.02, 0.8, 16, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/19 bigger than -2770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeeooeeeooeioeooooe. Give prob of picking 2 e.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3))\/(j*j\/j**(-3))*j**(-1\/6)*j**(-1\/6) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.058 + 25.142. Let g = -25.6 + 0.6. Let b = d + g. Round b to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 + -0.4. Let h = -50 + 48.18. Let x = o + h. Do 3 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -112, -134, -120, -58, 64, 258, 536?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -41 - (-1507 - -1540)) + (1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 4. Suppose 0 = 2*q + 5*j + 8 - 29, 2*q - 15 = -3*j. What is u(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 - 360*r**3 + 2952*r**2 + 1196992*r + 21387264 = 0 for r.\nAnswer: -32, -24, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*v - 22 = 1, 0 = n - v + 9. What is the units digit of (n\/15)\/(4\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/3)\/(1 - 2). Let u be ((-3)\/3)\/b*(-21)\/(-3). What is the third derivative of 15*o**2 + 21*o**4 - u*o**4 + 0*o**2 + 15*o**4 wrt o?\nAnswer: 696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 685284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3*j - 19648*a**3 - 2*a*j - 30018*j wrt a?\nAnswer: 3*a**2*j - 58944*a**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80640 = 688*m - 712*m. What is the greatest common divisor of m and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432) - -5*(0 + sqrt(432))).\nAnswer: 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 - 2*v**2 + 4*v**2)*((-4 + 0 - 4)*(-91*v + 585*v - 2*v + 70*v) + 2*v + v + 3*v) to the form u*v + t*v**2 + j + x*v**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h - 1. Let p be d(-1). Suppose p = a - 3*l, -2*a - 19 = 2*a + 3*l. Let z = 2 - 1.8. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.95 - 29. Let i = f - 10.84. What is i rounded to one decimal place?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11*l = 5*l. Let x be 298\/10 - (-2)\/10. Suppose 5*o - x = -5. Solve l = -n + 3 - o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2689717156 - 531064.\nAnswer: -2690248220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**3 + 22*i**3 - 2*i**3 + (-2*i**2 + 3*i - 3*i)*(i + 4*i - 3*i) + i**3 - 3*i**2 + 3*i**2.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166495?\nAnswer: 5, 7, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 13) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 times 18.41\nAnswer: 791.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94199.80444 + 94198. What is d rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254530520 (base 6) to base 9.\nAnswer: 10342833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -19925\/2, 70, 7, -2, 2\/11 in decreasing order.\nAnswer: 70, 7, 2\/11, -2, -19925\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, -200, -483, -766?\n\"Answer: -283*s + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3277 - 396513\/6554. Is y not equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.9464 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 650, 1680, 3194, 5234, 7842, 11060?\n\"Answer: 7*j**3 + 179*j**2 + 2*j - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a**2 + a**2 - 3 - 1 - 7*a - 2*a**2. Let v be j(-6). Let s be (-1)\/v*(3 + -5). Solve -w = -t + s, -t - 5*w - 1 = -14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17133 minus -0.13?\nAnswer: 0.30133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41 - 198 - 2*b - 27*b - 70*b - 25 wrt b.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27008)\/(-39936) - (-2)\/(-39)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249 - 2*t**3 + 16*t**4 + t - 9 - 18*t**4)*(1 + 1 - 4).\nAnswer: 4*t**4 + 4*t**3 - 2*t - 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320145.3 milligrams in micrograms?\nAnswer: 320145300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Find the third derivative of 4*d**2 + d**2 - w*d**2 + 16*d**4 - 12*d**4 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/((-2)\/4). Suppose c*a - 1 - 9 = -2*x, x = -5*a + 17. Suppose -2*v + 46 = -2*d, -2*d - 74 = 2*d + x*v. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ununu. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212112 + -100?\nAnswer: 10212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + (-11 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3728\/(-1165))\/(4\/((320\/12)\/8)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 1\/6 (c) 5 (d) 3 (e) -2\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -46. Solve 0 = 4*j - 4*f - 31 + 3, -5*f - 15 = y*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772290 is divided by 357?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2) + 197 - -1. Let b = f - 134. Is b 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 1:43 AM and 5:12 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439522539 to the nearest integer?\nAnswer: 20965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381582899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.7 and 228064.\nAnswer: 228055.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 - 22 = -5*j, 4*j - k = 28. Suppose -2*b + j = -1. Find the second derivative of 3*l + 0*l**4 - l**b + 4*l**4 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/45)*t**(1\/3)*t**4*t**(-15) assuming t is positive.\nAnswer: t**(-478\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*i**2 - 17 + 17 + (4*i - 6*i + 3*i)*(4*i - 2*i + 0*i) + 5*i**2 + 0*i**2 - 3*i**2 + (-i + i - i)*(3*i + i - 6*i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.0433 + -1.6764. Round d to 2 decimal places.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -45, -8, 43?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008)*1 + -1))**2 + 2.\nAnswer: -384*sqrt(7) + 16146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*l = 4, 3*l + 4 + 1 = -5*y. Let r = y + 5. Find the third derivative of -4 - n**6 + 3*n**2 + 0*n**2 + r wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 12*s - 84. Let z(g) = -g**3 - 15*g**2 - 14*g + 24. Let k be z(s). What is the highest common factor of k and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5*-68*60\/(-36). What is the nearest to 1 in 1, l, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 832221 divided by 2371\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154*(-56)\/(-6860))\/((-12)\/(-30)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -3*s**4\/4 - 14*s**3\/3 - 11*s**2\/2 - 21*s + 103. What is the remainder when x(-8) is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpzkvvvvcvkvvp. What is prob of sequence kzcp?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6021000 to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341696 is divided by 48801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3841*u - 3635*u - 582*u.\nAnswer: -8058*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0 (c) 0.1 (d) 0.13443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-62083.\nAnswer: -1303743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1894 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5592109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99)*-3 + sqrt(99))) + sqrt(99))*-5)\/(sqrt(441)*-2).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*g + 1983, -4*g = 84*c - 81*c - 2966. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0.2, -1, 347118, -3.\nAnswer: -5, -3, -1, 0.2, 3, 347118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 7. Give d(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1327165 divided by -5\nAnswer: 265433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 241 = -3*d. Let s be ((-4)\/(-6))\/(d\/(-30) + 3). Solve 3*y + 13 = 3*b - 2, b - s*y = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 4, k: 1}. Give prob of sequence kr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (-1 - 3\/(-1)). Let u(w) = -w**3 - 4*w**2 + w + 6. Let h be u(s). Let 10\/3*b**2 - 4\/3 - h*b = 0. Calculate b.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 960\/(-36)*54\/(-8). Calculate the greatest common factor of 45 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*q - 4*g - 13, -3*q + 4*g + 44 = 0. Suppose -3*w - 5*a - q = 0, -3*w + 8*w + 2*a = -20. Sort -0.1, 3, w, -1 in ascending order.\nAnswer: w, -1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/6 + 0 - (37 + (-72)\/(-12)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122261 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -0, s - 5637 = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q + 465 = -1455. Suppose 4*k - 3375 = -k. Suppose 0 = r, 5*u + 2*r - k = -3*r. What is the highest common divisor of q and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1 - 5. What are the prime factors of (-18)\/(-30)*(o + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)\/(1\/(-9)). Let b(i) = i**3 - i**2 - 2*i + 2. Let p be b(2). Suppose 0 = 5*r + 2*h - 83, -r + 3*h - g = -p*r. Solve 4*o - 1 = r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*g = -6, -2*h - h + g = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(21\/((-10206)\/1080))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.5 - 18. Let z = 0.031 + 27.969. Let v = x - z. What is v rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 163 (c) -2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 10*i - 6. What is the remainder when 4 is divided by d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(6\/4)*-21. Suppose 4*n - 70 = 2*n. What is the greatest common factor of h and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 11*b**2 - 362*b. What are the prime factors of z(15)?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -53 (c) 0.3 (d) 423 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113\/152 or -1\/3?\nAnswer: -113\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 40, 57, 74, 91, 108?\n\"Answer: 17*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019845112 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 108656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987 + 983. Sort i, 6, 0.6, -14 in increasing order.\nAnswer: -14, i, 0.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7674 to 2 dps.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 6*w + 6. Let f be m(-6). Let l be 1\/(-2)*-14*18\/f. Solve 3 = -a - 3*a + 3*v, 2*a - 3 = -l*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {l: 4, a: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82467841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -c669?\nAnswer: -c665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*r - 19 - 0, -4*l - 14 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from wcfcrtr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -4*l + 7*l, -x - 4 = -2*l. Let y(i) be the first derivative of x*i**2 + 0*i - 9 - 1\/3*i**3. Let g(p) = 21*p**2. Determine g(y(c)).\nAnswer: 21*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 30*t**2 - 132*t + 242. Calculate h(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -934 and -0.4?\nAnswer: 933.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c - 264 + 127 + 7*c + 8*c + 137.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o - 4*o**2 - 2\/3*o**3 - 279. Suppose m(h) = 0. Calculate h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, z: 2}. Give prob of sequence yyzy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = 2*m - 103, 269 = 5*m + y. Calculate the remainder when 151 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 14*w + 642817 = -o, -2*w - 5*o = -257116. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 53, 59, 67, 77, 89, 103?\n\"Answer: u**2 + u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/257329 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1124 take away -3668.66863?\nAnswer: 3668.55623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -2, 1, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r + 2*s, 4*r - 2*s - 8 = s. Suppose -4*n + 2*o + 47 = -o, 0 = 4*n - 2*o - 42. What is the units digit of ((-20)\/n)\/((-1)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 divided by -1?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 119*v - 1908*v**2 - 7 - 119*v to c*v**2 + p*v + m and give c.\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/14467, 5, -0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -97 (base 16) to base 9\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 6. Let t be ((-2)\/(-5))\/(z\/(-15)). Is (-9)\/(-6)*16 - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 1295 + 6*v + 1295 + 11*v - 8*v**2 to the form l*v + k + w*v**2 and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -161.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**2 - 26*n - 19. What is the derivative of g(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*x = 173*x + 4. Calculate the highest common divisor of x and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/706512 and -101\/14842.\nAnswer: 127878672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let l be (2 - (-3)\/v) + -1. Does 12 divide l + 2 - 2 - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14 and ((-23)\/28 + 1)*81\/(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4045, -8091, -12137?\nAnswer: -16183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 51, 39, -2, 0 in increasing order.\nAnswer: -4, -2, 0, 2, 39, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -15)*848\/265\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-35)\/49)\/(-5)*1*-9?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10101011111000 (base 2) to base 4\nAnswer: 2223320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let t = 8 - -5. Factor t*r**a - 13*r**2 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = z + 24. Let b = 73 + z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (495\/396)\/(2\/736*10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5\/5 + 87*j**4 + 18816*j**3\/5 + 208896*j**2\/5.\nAnswer: 3*j**2*(j + 17)*(j + 64)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 269*w - 4*w**2 + 2*w**4 + 23 - 2*w**3 + 3 - 269*w + 2*w**2 to u*w**2 + i*w**4 + o*w + p + z*w**3 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*11\/(-396)*-10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -44, -86, -142, -212, -296, -394?\n\"Answer: -7*g**2 - 7*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgggggvkkgkkgvgkwg. What is prob of sequence vk?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*y - 12677 + 2459 = 22090. Solve 74*o - y*o - 16 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 - 4*p**2 - 6*p + 2. Let d be q(-2). What is the highest common factor of 341 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 17\/5 (c) 102 (d) 26 (e) 2\/149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 376665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -138?\nAnswer: 5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 6*k - k + 36 = 2*h, 35 = 3*h + o*k. Suppose 225 + 41 = 7*a. Calculate the remainder when a is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2429.828921 + -2430. Let z = b + 0.171. What is z rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:50 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343943, 344067, 344191?\nAnswer: 344315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -140\/3. Let g = 10462.5 - 10462. Which is the smallest value? (a) 1 (b) g (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 35. Let c = -36 - v. Solve -c*k - 9 = 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmiiiillliiliml. What is prob of sequence im?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(((-52001)\/10430)\/349)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.617 rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5195 divided by -21535\nAnswer: -1039\/4307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927100 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**3 + 4*q**2 - 7*q - 6. Let j(p) = 42*p**3 + 11*p**2 - 20*p - 17. Let o(l) = -11*c(l) + 4*j(l). Calculate o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 - 2*h**2 - 1. Let b(i) = 5*i**3 + 2*i**2 + 1. Let y(z) = -6*a(z) - 7*b(z). Let v be y(3). Calculate the highest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 32 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**20*s*(s**(-2\/19)\/s*s)\/s)**(-2\/35) assuming s is positive.\nAnswer: s**(-794\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57d745 (base 14) to base 9\nAnswer: 5564500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 23*v - 38*v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 - 8220*b**3 - 1350008*b**2 + 12669552*b - 25636320 = 0. What is b?\nAnswer: -1874, -190, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 + 3)*(-236)\/28 and -29\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 8*o = -2*o. Let c(i) be the second derivative of 0 + 2\/3*i**3 + o*i**2 - 1\/6*i**4 + 2*i. What is the second derivative of c(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1106808, -2, -13 in descending order.\nAnswer: 1106808, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -112\/781 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*n - 1288 = -202*n + 472*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*u + 1014*u + 1134 = -5996 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7878451 - -1?\nAnswer: 7878452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + k, 0*k = k. Let i(g) be the second derivative of b*g**2 + 0 - 1\/6*g**3 - 3*g. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -20 + (-1 - -3) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 111 = 151 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20232*k**2. Let h(p) = -8*p. Calculate h(y(n)).\nAnswer: -161856*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3959 - -0.2249. Let g = -2.07 - f. Round g to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-6 - 12 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 2:11 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29.5859 times -3.1\nAnswer: 91.71629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 834514702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 - u - 1. Let n(h) = -6*h - 2*h**3 - 6 + h**3 + 4*h**2 + 2*h**2. Let c(f) = -5*k(f) + n(f). Suppose 4651 = 6*s + 4657. Calculate c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(45)\/sqrt(3)*5)\/(-5*sqrt(80)*-3) + -4)**2.\nAnswer: -8*sqrt(3)\/3 + 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.02, -1.4, -22, 101.\nAnswer: -22, -1.4, -0.02, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b. Let z be n(2). Let d(h) = z*h + 5*h - 3 - 7*h. Let l(a) = 20*a - 16. Determine -16*d(f) + 3*l(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27151 is divided by 151.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, z: 1, d: 5, f: 3}. What is prob of picking 1 f and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 1020, 1535, 2052, 2571?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 5, 0.182, 14\/13, 3\/5?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 10*h**2 - 8*h. Calculate s(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 4\/5 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*t - 4, -10 = 3*g + 5*t - 42. Let s be 250\/7 + 4\/14. Suppose 0 = -2*r + g + s. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - -1*sqrt(600))\/(sqrt(27)\/sqrt(225)) - ((sqrt(96)*-1)\/(sqrt(1200)*1))**2.\nAnswer: -2\/25 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23002?\nAnswer: 2, 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 - 5*i**2 - 9 + 3 - 6*i + 2*i**3. Let s be f(-4). Suppose 174 = -s*j + 8*j. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) - sqrt(390)\/sqrt(10) - sqrt(39) - sqrt(39))*-6)\/(sqrt(48)*-6))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -87657*g**2 + 3. Let r(q) = 3*q**2. What is b(r(w))?\nAnswer: -788913*w**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/324*459*(-1)\/(34\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20596 is divided by 162.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.66 * 2531.\nAnswer: -6732.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2668 - 1681. Find the second derivative of -44*v**2 + 993*v - 7*v**2 - p*v - 1 wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426074 is divided by 670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 38 = 14. Let c(a) be the second derivative of a**4\/12 + a**3\/2 + a**2 + 35*a. List the prime factors of c(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.095 * -0.09.\nAnswer: -4.32855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 4*x**3 + (2 + 2 - 5)*(-x**3 + x**2 - x**2) in the form d*x + w + u*x**2 + r*x**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 20. Determine j(20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -145, -195, -265, -355?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -790183.9 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from jmkikgmmmmjggimimj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43940 divided by 5?\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*22\/3*((50 - -126) + -170).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-217*j**2 + 272*j**2 - 5*j + j - 1)*(-3*j**2 + 3*j**2 - j**2) to v*j**2 + i*j**3 + n*j**4 + m + t*j and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 545*q + 1808. What is the thousands digit of j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 5, -2, -3 in descending order.\nAnswer: 5, 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2706\/13 + 208. Let t = 4.9 + 1.1. Let y = t + -4. What is the smallest value in f, y, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/13 - 103440*b**3\/13 + 5374034*b**2\/13 - 29037876*b\/13 + 23767280\/13 = 0.\nAnswer: 1, 5, 46, 51668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 72106 - 21450. Let u = -139319\/44 + y. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - 8*v - 54 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 15 + 0*u - 5*u - 176 to n + w*u and give n.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 14*y**2 + 14*y + 32. Let x be b(-13). Suppose -x = -t - 16. Calculate the lowest common multiple of (1*t)\/(2 - 5\/10) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**3 + 9*n**2 - 24 + 5 + 10 - 8*n. Let y(v) = -v**3 + v**2 - v - 1. What is -2*q(f) + 18*y(f)?\nAnswer: -4*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p - 108. Let w be i(13). Let k = w + 48. What is the remainder when 86 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 m when three letters picked without replacement from {m: 6, w: 1, o: 3, b: 1, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xwwxwdwxdxfwwfdfxdw.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 11. Suppose 2*l - 10 = -r*g + g, 0 = -5*g + 3*l - 15. Solve 0 = -3*w - j + 11, g*j = 2*w + 2*j - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/8 + f**5\/60 - f**4\/24 + f**3\/6 + 947*f**2. Give g(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 482*v**3 + v**2 - 212501*v + 655180802.\nAnswer: 1446*v**2 + 2*v - 212501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 18*w = 476. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3760, 3730, 3680, 3610, 3520?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 7, m: 2, c: 3}. What is prob of picking 1 c, 1 e, and 1 m?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 38. Let l(g) = g**3 - 6*g**2 - 3*g + 6. Give l(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.7, 1\/7, 2, 270?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 5\/7, 1, 0.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 10. Suppose -14 = -19*a + 62. Let i(c) = a + 0 + 2*c - 1 - c. Determine -7*i(f) - 2*v(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 2:28 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**3 - l + 1. Let g be -1*(-1 + 0\/1). Let o be d(g). What is the highest common factor of o and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/6 - 20*p. Let k(d) = 0*d - d - 4*d + 2*d. Calculate k(i(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/99 and ((-117042)\/58536 + 2)*(-16 - 4).\nAnswer: 26829","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -68*r - 8. What is the smallest common multiple of w(-2) and 80?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 2. Suppose 0 = -5*t - 32 + u. Let f be ((-4)\/7)\/(t\/21). Put -1, f, 5 in decreasing order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4635*h + 4514*h - 2*h**2 + 122 + 280 wrt h?\nAnswer: -4*h - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 14.9, -2\/15, -13.7, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 45.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772378 a multiple of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*u + (6 - 6 - 19*u)*(-3 + 5 - 4) + (u - 3*u + 4*u)*(4 + 4 - 6).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 + 4. Let o(s) = -9*s**3 - s**2 + 8*s + 2. Let w be o(-3). Suppose w = -20*g + 52. Calculate c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = b + q, -15*b + 19*b - 5*q + 43 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -38?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5724.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164900550439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.69 - 0.31. Let a = -21 - -12. Let d = a + 5. What is the closest to b in 2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -19856229766164.\nAnswer: -19856229766164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -b + 52*r - 49*r, 8*r + 9 = 3*r - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26983397 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(1\/3)))\/v)\/(v*v**(1\/3)*v) assuming v is positive.\nAnswer: v**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 14*s + 11*s - 216, -5*g + 1120 = -5*s. What is the remainder when g is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**2 + 30*y - 25. Let w(x) = -8*x - 195. Let b be w(-23). What is the tens digit of i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -c + 3*c. Let m(k) = k**2 + 2. Let z be m(0). Suppose z + 33 = c*o. What is the highest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299751269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-10 - -10) + -3 + -12 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5187918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 4. Let t(y) = -7 + b - 5 + 4*y. Let z(r) = r - 2. Let f = -4 - -2. Calculate f*t(c) + 7*z(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -2.92. Let t = -610 - -612. Sort 1\/2, t, k.\nAnswer: 1\/2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 363*t**2 - 7092*t + 7452.\nAnswer: 3*(t - 138)*(t - 1)*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 676 and 154297?\nAnswer: 617188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96905 or -96910?\nAnswer: -96910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498 and 1920.\nAnswer: 159360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*i + 15*i + 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 10*u + 9. Suppose 12 = -k + l - 0*l, 4*l - 57 = 5*k. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5986 = -124*l + 7617 - 3063. Let v = 2 + -3. Let j = l + v. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -y + 4 + 5, -2*y - 2*v = -42. Suppose -2*g = y - 55. Let m = -288 + 286. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/31, -0.1, -90?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.2 - -23.3. Let q be ((-4)\/18)\/(4\/6). What is the third biggest value in 4, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -1119, -2471, -4345?\nAnswer: -6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 336161.8 * -2.5.\nAnswer: -840404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 6*q**2 + 33 - 3*q**2 + 0*q**2 - 14*q. Let i be k(11). Which is smaller: i or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16959 * 0.5\nAnswer: 8479.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - sqrt(38)*-2*-4)\/sqrt(2).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.05, -4\/11, -41781, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1924*q - 1584*q + 379*q - 308*q.\nAnswer: -3437*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/20 - 5*q**2. Let a(n) = n**2. Give -4*a(o) + l(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 351 - -11?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-54)\/15 - 4\/(-10). Let a = n - 2. Let z(i) = -i**3 + 5*i**2 + 20. Let q be z(5). Solve -a*u = u + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 53*v + 4. Let u(k) = 211*k + 17. What is -9*q(y) + 2*u(y)?\nAnswer: -55*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*f + 4*r, r - 1 - 3 = 0. Let v = 9 - f. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.02, -436?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2299715)\/22*40\/(-15)*-15. Round s to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:12 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 1329*c - 277940. Give m(-260).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -194847 divided by 17\nAnswer: -194847\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*i + 1869*i**2 - 1859*i**2 + 191*i**3 - 197*i**3 in the form f*i**2 + n*i**3 + u*i + x and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002971 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 7. Let h be v(-5). Let g be h\/(9 + -3 - 0). Which is the second biggest value? (a) -0.2 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51989?\nAnswer: 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) -2 (c) 422 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1486 = -i + 4456. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4) + -1)*18. Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -49*l**2 + 9*l. Let p(f) = 74*f**2 - 13*f. Determine 7*g(d) + 5*p(d).\nAnswer: 27*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 365\/9. Is d at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68389*y - 6280 with respect to y.\nAnswer: -68389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3 + 2. Let s(g) = -73 - 44 - g + 123 + 4*g. Give z(s(r)).\nAnswer: -27*r**2 - 108*r - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.1 + -6.46. Let h = r + 2.36. Suppose -9 = 3*s + 6. Which is the third smallest value? (a) s (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*u - 10711 + 10711.\nAnswer: -618*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5299858 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16965 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9350*f**2 + 4681*f**2 + 4670*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.56 - -26.46. Let k = 386\/5 + -5791\/75. Let v = k - -157\/525. Which is the third biggest value? (a) -0.3 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 37 - 119 = 38. Solve z = -8*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 29*r**2)*(5 - 6 - 23) + 2*r**2 + 3*r**2 - 7*r**2 + 6*r**2 + 0*r**2 - 5*r**2 + (-5*r + r + 2*r)*(1 - 1 + r).\nAnswer: -699*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -0.09?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 0*n**2 - 4 + 282*n - 15 - 2751*n.\nAnswer: -6*n**2 - 2469*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -438\/37 + 1803\/518. Suppose t + 2*p - 463 = -p, 4*t + 4*p = 1892. What is the common denominator of x and t\/88 - 2\/11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -273 + 253, -3*d + o = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 388633*o**2. Let g(d) = d. Give g(i(h)).\nAnswer: 388633*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/125615*(-20)\/(-16). Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677*f**3 + 5558*f**2.\nAnswer: -4062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 4975456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111.59 rounded to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a650 (base 12) to base 13\nAnswer: -14955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151506 and 232575.\nAnswer: 26513550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2997d7 (base 14) to base 6\nAnswer: -51010025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-980 + 550 + 121 - 1296)*(-2*u - u + 5*u).\nAnswer: -3210*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36915 is divided by 754?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153771\/1176503 - 74\/577. Find the common denominator of p and -8\/9.\nAnswer: 18351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 56. Solve a*r + 2\/3*r**4 + 4\/3*r**3 + 2\/3*r**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*f - b, -4*b + 2 = 10. Let a be 3 + -2 + 0 - f. Solve 4*l + 2*p - 4 = -0*l, -l + a = 5*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*v = -166, -171 = -3*g + 3*v + 81. Let j(h) = -h**3 + 37*h**2 - 38*h + 77. Let q be j(36). What is the greatest common divisor of q and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -u - 5*x, 3*u - 259 = -7*x + 3*x. Suppose -3*t = 3*w - 93, 2*t - 155 = -3*t - 3*w. Let k = t + u. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/u*u)\/u)**4*(u*u**11\/u)\/(u*u*u\/u**1*u) assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m**3 - 18*m**3 + 2*m + 12*m**3)*(-1 + 3 - 4) - m**3 + 0 + 0 + (2*m - m - 3*m)*(1 - 5*m**2 - 1).\nAnswer: 3*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 566 and 14.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1094780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004726168 to seven dps.\nAnswer: 0.0000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 3. Let d be z(-1). Let n(v) = v**3 + 1. Let o(j) = -7*j**3 - 8. Determine d*o(k) - 40*n(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q + 55. What is x(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 - 4 = -a, 5*a + 4*l = 41. Solve a*g = 2*g - 2*o - 11, -16 = 4*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 1851*q\/2 + 1848.\nAnswer: 3*(q - 1232)*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 18.2. Let s = -0.1 + -0.1. Let i = x - s. Which is the nearest to i? (a) 4 (b) 2\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) - (-11)\/3. Suppose -42*v + 43 = -41. Solve -16 = u*w + 3*b, -v*w + 4*b + 0 + 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 5*z + 5*z)*(9 - 4*z**2 - 9)*(3*z + 4*z - 4*z).\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-18))\/(1885\/5394). Let o = q - 1\/65. Which is the closest to -2\/5? (a) -0.3 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = 2*p - 462, -19332*z + 102 = 2*p - 19327*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 5*l**4\/6 + 3*l**3\/2 + 9*l**2\/2 + 110*l. Does 24 divide g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 + -2?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**4 + 2902*q**3\/7 - 8592*q**2\/7 + 792*q\/7 = 0.\nAnswer: 0, 2\/21, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 51 + 4 + -8 + 3. Let p = b + 8. Suppose 0 = -5*x + 9*x - 80. Calculate the remainder when p is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/7 (c) -3 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4333*s**2 + 4333*s**2 - 5*s**3 + 8*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7123, 7121, 7119, 7117, 7115?\nAnswer: 7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*s - 2 = -554*s - 3*q + 3, -37*s + 2*q + 389 + 22 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x - x)*(-2 - 1 - 4*x + 1)*(10 + 1 + 0).\nAnswer: 88*x**3 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((18\/(-3))\/36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 18*u**2 - 52*u + 241. Let q be t(20). Sort 62, 5, q, -1 in ascending order.\nAnswer: -1, q, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + (-62)\/(-6). Suppose 0 = -2*s - 3*s + m. Let q = -6286 + 6293. Sort q, 1, s in descending order.\nAnswer: q, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l + 43*l = 82*l + 59136. Calculate the highest common factor of 396 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 46\/(-28) - (-11)\/22?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7535 - 7535 + 94*u)*(0*u + 3*u - 4*u) + 3*u**2 + 1 - 1.\nAnswer: -91*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 5*t**2 + 25*t**2)*(1 + 3 - 3)*(t**2 - t**2 + 2*t**3).\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a17 (base 15) in base 13?\nAnswer: 10429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1121973.\nAnswer: 1121980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2*r. Let i = 10 - r. Suppose -o + 6*o + 4*a - 66 = 0, -a + 54 = i*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 414 = -4*a + 3*v, -3*v - 315 = 3*a. Let g = a - -109. Suppose -6300004 = -6*l + g*l + 2*c, -5*l - 31499992 = -4*c. Round l to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 3*r - 54 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 204 = -3*j + 132, 2*j = m + 225. Suppose -4*z + 128 - 38 = 3*l, 3*l = 3*z + j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405)*4 + (0 + sqrt(5)*1 - (0 + sqrt(5) + 0)).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 77?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13784 = -4*w + 24856, 5*w + 4*d - 48301 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 325*w - 326*w + 4*w**4 - 2*w**2 - 6*w**4 in the form g + z*w**4 + o*w + a*w**2 + f*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x - 2 + 3 - 1 as q*x + j and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 799114 and -0.876439.\nAnswer: 799113.123561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(43 + 3535\/(-105))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 1. Let o(u) = 5*u**2 - 4*u + 2. Let b(j) = o(j) - 6*x(j). Determine b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -29. Let i = 5 + l. Let f be (i\/75)\/(2\/(-5)). What is the closest to -0.1 in f, 4, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*s - 5880443, 3*c = -3*s + 3769516 - 241252. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**4\/8 + h**2. Let g(x) be the first derivative of -7*x**3\/3 + 36922. Calculate w(g(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j = -55*j + 556 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 1.585.\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 4. Let w = 11 - 9. Solve 0 = h*k - 1 - w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = -5*t, -3*t + 0 - 5 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*k = 20, 10*m - 15 = 7*m - 5*k. Solve -f - 6 = -2*c - 5, m*c - 5*f - 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/24 - s**3 - s**2. Suppose -5*c - 18 = 12. Let y be q(c). Solve -2*o - b = 7, -2*o + y*b + 2*b + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 4. Let h be f(3). Suppose -3 - h = -5*w. Suppose -5 = 3*j + 4, 2*r = -4*j + w. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -b - 2*b + 6, -b - 4*o + 2 = 0. Suppose b = -n + 10. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-2)\/(-24)). Let j be 2\/n - (-50)\/15. Differentiate j - 2*c - 4 + 0 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63509.2991 - -63506. Let z = 3.28 + q. What is z rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - 1 - 2*t + 7*t)*(5*t**3 + 4*t**3 - 3*t**3) to d*t**2 + x + n*t**3 + k*t + b*t**4 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.89 + 5.52. Let i = a - 0.13. Let b = -4 - i. Sort -4\/3, -2, b in ascending order.\nAnswer: -2, -4\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:32 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + (-177)\/(-12). Suppose -7*v + w = -2*v. Suppose v*r - 4*z = -2*z + 22, 0 = 2*r - 4*z - 12. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u + 73*u - 56 - 33 - 2*u**3 - u**3.\nAnswer: -3*u**3 + 3*u - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/65)\/(1\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 7419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 18*l**2 - 21*l - 14. Let c be z(-17). Solve c = -u + 52 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*q + 6, -13*t + q + 0 = 3. Solve -2*i - 38 = 3*z - 13, -3*z + i - 10 = t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) 1 (c) -0.03 (d) 4\/7 (e) -2\/15 (f) -0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-7))\/4)\/(15\/(-30))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3\/2, -0.4, -0.1, 17 in decreasing order.\nAnswer: 17, -0.1, -0.4, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 2, v: 2, z: 2, b: 3, o: 2}. Give prob of picking 1 v and 2 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*g - 3183, 5*p + 11*g - 15935 = 6*g. Is p a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2147\/4 + -3613\/12. Is r >= 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2946*z + 414 = 2739*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 1487)*(-3)\/6?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15)**(-1\/7)\/((j**(-25)*j)\/(j**(1\/9)\/j)) assuming j is positive.\nAnswer: j**(1321\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 1\/4*n**4 + 0*n - 1\/2*n**2 + 12 - 1\/10*n**5 + 1\/6*n**3. Factor q(t).\nAnswer: -t*(t - 2)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2380)\/30*(-21)\/9*9\/2. Calculate the highest common divisor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c. Let j be (-24)\/14 - 4\/14. Let d be 3 - (-16)\/(-10)*(-10)\/4. Let x(p) = -3*p + 6*p + 0*p. Calculate d*x(t) + j*m(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 397, -162, -1095, -2402, -4083, -6138?\n\"Answer: -187*d**2 + 2*d + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2077, -3496, -4913, -6328, -7741, -9152, -10561?\nAnswer: -11968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 22. Let g be (t - (-2 - -1))\/2. Let 2\/9*y**3 + g + 2\/9*y**2 - 4\/9*y = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313.774 - 17861.43.\nAnswer: -17547.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -67585.28.\nAnswer: -811023.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -22, -5, 22.3, 0.1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10905.53036 to the nearest 100.\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (449499*l + 449786*l - 905924*l)*(l**3 + 2*l**2 - 2*l**2) to k*l**4 + y + d*l**3 + c*l**2 + h*l and give k.\nAnswer: -6639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v - 3. Let q(s) = -s**3 + 13*s**2 - 20*s + 106. Let w be q(12). Let m(i) = 3*i + 2. What is w*m(y) + 6*n(y)?\nAnswer: -6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17774 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 23. Differentiate 1416*d**2 - 1416*d**2 + a + 14*d**4 wrt d.\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -565190526577490 + 565190460586768.2000073. Let i = -65990719 - q. Let f = -2.8 + i. Round f to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:32 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - 1.24287\nAnswer: -1.39287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5835\/27)\/5 - 2\/9. What is the highest common divisor of 3483 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1281897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - 73 - (-1 - -9) - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*i + 36 = -0*y, 5*y - 4*i = 235. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p - 3496 = 318*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9805583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**4 - u**3 + u**2 - 5*u + 5. Let d(w) = -w**3 + w**2 - w + 1. Let o(l) = 10*d(l) - 2*k(l). Factor o(g).\nAnswer: 2*g**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -19*s + 138. Let o(m) = -54*m + 414. What is 6*o(p) - 17*z(p)?\nAnswer: -p + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67\/16 (b) 3\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 + 20187*u\/8 + 42117271\/4.\nAnswer: (u + 5893)*(u + 14294)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 558789686273?\nAnswer: -558789686272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54758, -56258, -57758, -59258, -60758?\n\"Answer: -1500*z - 53258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*u - 500, 3*n - 2*u = u + 324. Suppose -r + 108 = -5*o - 22, -4*r + n = -4*o. Let b = 46 - o. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248260888.\nAnswer: 2, 1907, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12915)\/(-140) + (-2 - (1 - 7)). Let x = 2037\/20 - h. Let -x*r**4 - 176\/5*r**3 - 60*r**2 - 72\/5*r + 0 = 0. Calculate r.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 - 8 = 0. Let d(c) = 4*c**2 + 2*c + 12. Let k(u) = 10 - 31 + 7 + 13. Calculate j*d(o) - 12*k(o).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18)\/(-40) - 1\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 15004?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by 16?\nAnswer: -113\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - i)*(-52 + 45 - 117) in the form p + t*i and give t.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119138 and 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(42)\/sqrt(6).\nAnswer: sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6878.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086082181 to the power of 1\/2, to the nearest integer?\nAnswer: 32956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let c = 3 - h. Suppose -2*m + c = -10. Solve 0 = -m*k + k + 3*o + 21, -5*k = -o - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 30*u + 15*u + 15*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p = 18. Solve 3*s - p*s + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220301332 (base 6) to base 13\nAnswer: -a80806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 0.5, -6\/5, -28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccccifrc. Give prob of picking 1 i and 2 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.003729 - 46.929729. Let t = d + 47. Let p = t - 0.074039. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 6*z**2 - 30*z + 7. What is the units digit of t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -140, -1, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/(r*r*(r\/(r**(-26)\/r*r))\/r*r*r))*r**(-1\/44)*r*r**2*(r\/(r*r**(3\/19))*r*r)\/r assuming r is positive.\nAnswer: r**(27437\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 24. Let x(v) be the second derivative of 2*v + 1\/6*v**3 + 0 + 0*v**2 - 1\/20*v**y + 0*v**4. Factor x(g).\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1.33?\nAnswer: 7.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51071380.1 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319 + -319. Suppose t - 494 + 363 = h. What is the remainder when t is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214278.2 + 14457.8. Let i = -228735.870079 + h. Let b = -0.13 + i. Round b to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -932?\nAnswer: 37.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 - (-2 + 0)) + (9 - 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -9 - (-14 - -10))*4\/2. Suppose 1\/4*w**h - 5*w - 21\/4 = 0. Calculate w.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x + 10*x + 20*x + (-2*x + 3*x + x)*(-3 - 5 + 9) - 2*x - x + 0*x.\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(525)*5 - sqrt(525)))\/(sqrt(1575) + sqrt(63)).\nAnswer: 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.2 - 4.2. Sort -3, a, -7, -0.1 in descending order.\nAnswer: a, -0.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojej when four letters picked without replacement from ooojdoooeojojo?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose -21*c + 48 = -18*c. Find the common denominator of c\/(-20)*(-43)\/p and -17\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.790866s to hours.\nAnswer: 0.000219685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c - 8. Let x be (11\/(-198))\/((-1)\/15)*6. Let u(n) = -7 - 9*n + 6 - 4. Give x*s(f) - 8*u(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7069, 23568, 51069, 89572, 139077?\n\"Answer: 5501*x**2 - 4*x + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5529 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(((-48)\/9)\/(-8) + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 24.93. Suppose m - 5 = -4. What is the closest to m in 0.2, 6, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -641 + 152. Let t = 486 + f. Which is the closest to -1? (a) t (b) -79 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11153480 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -60, -128, -222, -342, -488, -660?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 465\nAnswer: 7\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 + i**2 + i. Let s be r(-1). Is (-5 - -7)\/(1\/s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 15. Let o be y(0). Suppose -4*v + o = v. Suppose v*d - 40 = -d. Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 1 - 5) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) + (-7 - -1). What is the units digit of ((-6)\/(-4))\/((-1)\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8075837 and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29165\/(-24) + 2\/(-3). Let q = b + 1205. Find the common denominator of q and (-99)\/14 + 2 + 0\/(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293 + -291. What is the fourth biggest value in -21, -5, 0, h?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*b + 17 = 0, -5*i + 5*b + 21 - 1 = 0. Solve -3*g + i = -4*s - 19, -2*s - 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*a = -0*g - 92, 2*a - 124 = 5*g. What are the prime factors of 5\/(-20) + g\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48883.31531 + 2\nAnswer: -48881.31531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t)*(0 - t + 0)*(-4*t**2 + 1 - 1).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 11*x + 3. Let g(z) = 2*z**2 + 6*z + 2. Let m(u) = 3*a(u) - 5*g(u). Let q be 12\/(-8)*(-2)\/3. Give m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (88\/(-55))\/(46\/(-115)). Solve 66 = -7*m - p*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218557 is divided by 135367?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*c = 1284 + 452. Solve 0 = 5*q - y - c, -4*q + 241*y + 16 = 245*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1486402 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 1, g: 4, l: 7, t: 4}. Give prob of sequence sx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/3 + (-24)\/(-18). Find the first derivative of -5*c - 40*c - r + 5 + 7 wrt c.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/88)\/(63\/462).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/48610 and 5\/8.\nAnswer: 194440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12105 divided by -5\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29905076 and 4.\nAnswer: 29905076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -142.29782.\nAnswer: -142.29782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52, 108, 214, 364, 552?\n\"Answer: -r**3 + 31*r**2 - 30*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266\/15 or 18?\nAnswer: 266\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l*l**14*l**12*l**(-6)*l*l*l**(-10) assuming l is positive.\nAnswer: l**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**2 + w**2 - 1 + w**3 - 3*w + 0. Let p be r(-2). Let u be (-2 - (-4 - 1))\/4. Is p not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*d**2 + 136*d + 239*d**6 + 123*d - 259*d wrt d.\nAnswer: 28680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.1 + -25. Let o = -0.09 - 3.91. Which is the third smallest value? (a) d (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44385040?\nAnswer: 2, 5, 7, 79259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = n - 2 - 3, -4 = 4*b. Suppose o + 0*c = -n*c - 5, o + 4*c + 13 = 0. Suppose -a - 634 = -i, o*i + 5*a = 6*i - 1900. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (33 + (-74 - -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/5 + 3*h**2 + 51*h\/5 - 63\/5 = 0. Calculate h.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 6004*p + 22 - 5563*p to the form t + j*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 32. What is the units digit of r(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-165)\/300)\/((-2)\/(-48)))\/((285\/(-100))\/(-19))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 - (-68)\/(-8)*2. Let j be 4 - (-2 - o)*-1. Let a**4 - a**2 - 20 + j = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10*b + 18*m + 2 = 14*m, 4*b + 7 = 3*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/31158 and -19\/2718.\nAnswer: 4704858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(3*8\/12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61685.96 micrograms to grams.\nAnswer: 0.06168596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -3. Let y = -34 + n. Solve y = l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g, 0*p - 2*g + 10 = 5*p - 3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39342 is divided by 2287?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2437 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46779 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 59998*a + 1. Let l(r) = 2*r. Calculate q(l(s)).\nAnswer: 119996*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/17992 at least as big as 1\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 23*w - 12. Let q be 5 - -4 - (0 + 1). Let m be c(q). Suppose 2*o = -2*o + m. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*n**2 - 5685*n**3 - 32*n**2 + 2280*n**3 - 2478*n**3 to q*n**2 + l*n + b + d*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1170007514 to the nearest integer?\nAnswer: 34205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 9554*a\/5.\nAnswer: -a*(a + 9554)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2013470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 5\/((-15)\/(-9)). What are the prime factors of (s - (-5)\/(-2))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, 3, -14, -1, 4, 311?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:39 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3945565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.32 (b) -3\/5 (c) -5\/2 (d) -0.3 (e) 1 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k + 2. Let q be l(6). Suppose 160 - 24 = q*i. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3374054486 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f**2 - 1. Let s be o(1). Let b(j) = -2*j - 1 - j + s. Let d(q) = -74 + 141 - 3*q - 67. Give b(d(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.257577 kilometers?\nAnswer: 9257.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 10*b = 19*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210696 is divided by 155.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by 180\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/6 + 2. Let i(w) = 4 + 5*w**u - 4*w**2 - 5*w**3 - w**3. Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001191848 to six dps.\nAnswer: 0.001192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4356 by 4.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8747194 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-7) + (-747)\/(-63). What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -48. Suppose 5*h + f - 126 = 0, -m = -4*h - 0*h + 3*f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-330)\/44)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 12:51 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80.048 + -80. Let w = f + -3.048. Which is the closest to 0.1? (a) -1\/3 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let b(s) = 4*s + 1. Let p be (-2)\/4*10\/(-1). Let l be b(p). Suppose -y - l = 4*y + 2*h, 5*h = 2*y + 20. What is d(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1362?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + -2)*(-20)\/1 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 37 = 5*j. What is the remainder when 38 is divided by (-1)\/(0 + 1\/j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, -13\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94\/275 + 4\/25. Let t = 3\/8 - 1\/8. Which is the closest to 2? (a) -2 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from yyyiviiyvviviy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {v: 1, x: 6, i: 1, e: 2, w: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*v - 32 + 3 = 0, 3*u - 59 = 4*v. Solve -u = -5*h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(18 - 4896\/270). Solve 2*b - 9 + 17 = d*c, -2*c = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v + 376*v + 17*v - 2 + 58*v.\nAnswer: 395*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*a - 58*a + 291. Let n = a - 46. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(32) - sqrt(7))**2*-5.\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 11*j - 790. Let w = -113 + j. What is the least common multiple of (-5)\/((-260)\/8) + (-50)\/(-13) and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 = 2*o + 3*o, o = -3*m + 50. Let b be 8\/(-10)*12\/m. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*l**3 - 39*l**2 + 39*l**2 - 16*l**3.\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 2*h**5\/5 - 1111*h**4\/4 + 5*h**3\/3 - 180*h - 7443. What is the third derivative of b(u) wrt u?\nAnswer: 48*u - 6666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11056162.\nAnswer: 3\/11056162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -428 + 1107. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 + -218. Let s = 19 + -4. Let k be -3*1*(-20)\/s. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-11 + 6)) + 18\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 128, 198, 268, 338, 408?\n\"Answer: 70*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225517*c**3*h**2 - 70*c**2*h - 3*c**2 + 27*c + 3*h**2 wrt c.\nAnswer: 1353102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/20 - 13)\/((-53)\/(-4))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -32?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 28385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2011239766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 5 - 5 + (-2 + 1 + 0)*(-5 + 5 + 2*h) in the form v*h + f and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from iiqqqvqivqv?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 p when three letters picked without replacement from mpsmmssmssmmmsmmmsm.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 - -1) - (6 - (10 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -862929*q - 4314631. What is f(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.028 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 6*o**2 - 14. Give s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (-11 - 7)) + (-6 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6710)\/1210)\/(((-1)\/(-22)*3)\/((-471)\/628))\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 + 38*r**2\/3 + 76*r + 96.\nAnswer: -2*(r - 24)*(r + 2)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 7*v**6\/120 - 7*v**4\/24 - 12*v**2. What is the second derivative of i(q) wrt q?\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:27 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 17. Let o(x) be the third derivative of x**6\/120 + x**5\/12 - 5*x**4\/24 + x**3\/3 - 2*x**2. Give o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 7*n**3 + 31*n**2 - 29*n**2 - 3*n**4 + 9*n**3 + 14 to v*n + p*n**3 + s + f*n**4 + j*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdjjjjdjjj. What is prob of picking 1 j and 1 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -286, -290, -294, -298, -302?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -866627 divided by 27?\nAnswer: -866627\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/69)*o*o\/(o\/(o\/(o*o**(1\/3))))*o*o*(o\/(o\/(o\/o**(-2\/5))))**45 assuming o is positive.\nAnswer: o**(1534\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 108860 divided by -5443\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28468702 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, k: 1}. Give prob of picking 2 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 378939923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 915573 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - -1*(1 + 315) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 259510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57\/100 + -3\/100. Let z = -14941.3 - -14347. Let j = z - -594. Which is the closest to j? (a) 0.3 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 12:03 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 12. Determine n(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.01, 4\/21, 0.04?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 10*z + 24. Suppose 6*a = 66 - z. Let y be ((-66)\/(-4))\/(3\/18). Calculate the highest common factor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - -12) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36959\/8 - -4740. Suppose -32 = 4*h + 448. Let v = h + k. Put -2, 24, v in decreasing order.\nAnswer: 24, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-28900)\/(-680).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 2. Let p(m) = -m + 1. Let r(y) = p(y) + s(y). Let g(v) = -3*v + 1. Let q = -1 + 2. Let c be g(q). Determine r(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + 79 + 22 + -154?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18499 = -24*f + 3317. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 17*c = 0. Suppose -2 + 4 = -2*k, 4*o + 5*k - 83 = c. Calculate the remainder when 72 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssid when four letters picked without replacement from ssdsstsssssdddsis.\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5474855883573 - 8*x - 48*x - 25*x - 5474855883573.\nAnswer: -81*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 3\/4, -0.3, -0.13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132 is divided by 225.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -28620668.\nAnswer: 5\/28620668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-n**2 + 1 - 1 + 1).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 234.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19970.5m to kilometers.\nAnswer: 19.9705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 27 + 20)*(67 + 2*r - 67) to the form a*r + h and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -60908800 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 + 1482 - 495 - 484 - 6*v.\nAnswer: -6*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:43 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 11 - (2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31610 by 109.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.99319 rounded to one decimal place?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 935 + 98. Suppose 0 = -15*p + i + 1337. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b + 1. Let y(j) = 51*j - 6. Let v(c) = -11*s(c) - 2*y(c). Let h(k) be the first derivative of k - 3 + 9\/2*k**2. What is 6*h(f) - 7*v(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 1, q: 2, j: 5, w: 2}. Give prob of sequence qtww.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2180330 and -32\/87.\nAnswer: 189688710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254878862?\nAnswer: 2, 3, 2837, 73721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -54. Suppose 5*t - i = 4*c - 5, t = -4*c + 9. Find the third derivative of -r**2 + 3*r**4 - 14*r**4 + 0*r**c + 2*r**2 wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let k be b(0). Differentiate j - 4*j + 0 + 0 - k wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(48 + -9)*(-16)\/192 - 118?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249540 and 8609130.\nAnswer: 17218260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 2454*s**2 - 7*s + 4904*s**2 - 2451*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 3, 58?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*z, -370*r + 190*r + 183*r - 4*z = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:11 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 - 2. Let u(s) = -4*s**2. What is u(g(n))?\nAnswer: -196*n**4 - 112*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 62, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -63*j + 124. Calculate u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8, -4*d - w - 4*w = -2. Let s = d - -19. What is the highest common factor of 170 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17363 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o*y*z**4 - o*y*z**2 - 4*o*z**4 + 2*y*z**3 - 243*y wrt z.\nAnswer: -168*o*y*z - 96*o*z + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 33 + 47 = 0. Calculate the common denominator of 98\/b + (0 - -2) and 1\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*p + 1252 + 1340, 0 = -5*p + 20. Suppose -4*m + m = 3*q - 528, 5*m - g = -2*q. Suppose 13*t - 1076 - m = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18924 in -3, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 + 284*u**2 - 6*u + 20 wrt u?\nAnswer: -12*u**2 + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j + 1 + 5 - 6.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2. Let y(k) = -3*k. Determine y(f(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26518, 45529, 64540, 83551?\nAnswer: 102562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let l = -189.21 - -190. Let s = l + -0.69. Put s, -0.07, i, -3 in descending order.\nAnswer: i, s, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*x - p, 4*p = -34*x + 133 - 207 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4489*j**2 + 1548*j**2 + 1396*j**2 + 1526*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j*j*j**(-2\/9))\/j)*j*j)**25\/(j**6\/((j*j*j**(7\/2)\/j)\/j)) assuming j is positive.\nAnswer: j**(505\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210430 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -822 - -827. Suppose 0*z - 4854 = -3*z. Suppose -p*w - z = -7*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 34.99. Let m = -0.04178 + 36.04178. Let z = m + q. Which is the third biggest value? (a) z (b) -1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1248.582s?\nAnswer: 20.8097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 19*a**2 + 15*a + 42. Calculate d(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 1, b: 4, q: 2, y: 1}. Give prob of picking 1 q, 1 e, and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*t**2 + n**3 - 36*n**2 - 67*n*t**2 wrt t?\nAnswer: -2*n**3*t - 134*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 = -5. Let b be (-24)\/f + (-12)\/6. Let o = b + 8. Solve 5*w + o = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:15 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 + (0 - 1). Let v = 836 + -836. Which is the third biggest value? (a) -0.13 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s. Let n(r) be the third derivative of r**5\/20 + r**4\/24 - r**3\/3 - 12*r**2. Determine g(o) + n(o).\nAnswer: 2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -83 + 18. Suppose s - q - 3 = -4*m, -5*m + s = -1. What is the greatest common divisor of m and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/6 + 3*r**2\/2 - 9*r\/2 + 8. Factor u(s).\nAnswer: -(s - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-16)\/8 + 2970. Suppose -16*b + 22948 = s. What are the prime factors of b?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002012 + 10?\nAnswer: -1002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 754937.\nAnswer: -181184.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -8*(-187748)\/1760 - 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 689960 + 0.06.\nAnswer: 689960.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + b + 4*b + 4 = 0, -4*u = -b - 20. Let g = 22 + -22. Solve g = -2*j + u - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2\/3*b**5 - 14\/3*b**4 + 32\/3*b - 32\/3*b**3 - 16\/3*b**2 - 79. Solve a(q) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13066 by 5.\nAnswer: -13066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-5709)\/385)*-14.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 23*r - 48. Determine i(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -79, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217 - -222. Let w be (-3)\/(-58)*(-3 + -4 + s). Let h = 4 + -3. Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c - c)*(14 + 11 + 58).\nAnswer: -249*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14287, 14228, 14127, 13978, 13775, 13512, 13183?\n\"Answer: -x**3 - 15*x**2 - 7*x + 14310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -1348.\nAnswer: 19\/1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (741546\/(-65))\/(-18) - 1\/(-5) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from rcccppcrrccccrr?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*o**2*s**2 - 3*h*o**2 - h*o*s**2 + 3*h*s**2 + h*s + 3*o*s**2 wrt o.\nAnswer: 6*h*s**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - r**5\/20 - 7*r**4\/24 - 7*r**3\/2 + r**2. What is the smallest common multiple of 3 and f(-4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 22397730?\nAnswer: 246375030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9442 is divided by 1867.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (84\/10)\/(9\/(-30)). Let k = b + 85\/3. Let n = 0 - 0. Is n not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -539334?\nAnswer: -1\/179778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74853294 divided by 519.\nAnswer: -144226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2. Let w(g) = -483010*g**2. Determine w(v(i)).\nAnswer: -17388360*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*n - 73*n = -27*n. Sort n, 6.6, -2\/7, -0.001.\nAnswer: -2\/7, -0.001, n, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 51*m**3 - 72*m**2 + 8*m - 8. Let o(i) = 34*i**3 - 48*i**2 + 5*i - 5. Let k(p) = 5*h(p) - 8*o(p). What is the third derivative of k(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472076367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 622\/(-20) + 45\/(-61 + 511).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*w + 189 - 40 - 969. Suppose -3*h + 4*h = 24. What is the lowest common multiple of w and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -227. Suppose 15 = o*u - 6*j + 5*j, 4*u + 5*j = 45. Calculate the remainder when 97 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/11 + 2\/(-11). Let z(i) = 1 - 6*i**2 - i**4 + 0*i**4 + 7*i**2. Let o(g) = -7*g**4 + 5*g**2 + 3. Let h(s) = r*z(s) - o(s). Differentiate h(y) wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22441 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370624 and 6656.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -66. Suppose 0 = -6*v + 2*v + z. What is the third derivative of 6*g**3 + 9*g**3 + v*g**3 - 3*g**2 - 20*g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 7. Let p be h(4). Suppose p*q - q = 840. Calculate the greatest common divisor of q and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -88*h**3 - 2*h**2 - 18*h + 16. Let p(j) = 106*j**3 + 4*j**2 + 17*j - 17. Let r(n) = 6*i(n) + 5*p(n). Determine r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 790?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 225601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 44. Solve -5*d - 23 = -2*j, 2*d - 6*j + p = -2*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(2 + -1 - -1). Solve d*b = -q - 5, 0*b + 8 = -2*q - 3*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/21541 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 5*b + 1. Let i = -6997 - -7001. Give z(i).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 - 8*j - 1. Let h be b(-3). What is the nearest to 0.1 in 3\/7, h, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + 4 - 19 - (16 - 4)) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7799 divided by -3.\nAnswer: -7799\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -57182\/2285?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22587*s - 22706*s - 14280 = 0 for s.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 807*c**2. Let a(o) = o. Give a(h(b)).\nAnswer: 807*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17272227088 minus -482?\nAnswer: 17272227570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 22 + 89 - 18 = 0. Let w(x) = 7*x - 3. Let l(z) = -8*z + 2. Determine d*l(b) + 2*w(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 2*l - 2*l + (-3 + 3 + 2)*(-3 + 3 + l))*(-27 - 42 + 15) in the form k*l + n and give k.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/120 + h**5\/15 - 3*h**4\/8 - 5*h**3\/2 - 325*h**2. What is c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12)*s*s**(-21)*s**(1\/4)\/s*s\/s**(-17))**36 assuming s is positive.\nAnswer: s**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h - 5. Let v(x) = -6 + 30 - 20 + x**2 - 2*x**2. Suppose -w = -0*w + 4. Let t(d) = w*s(d) - 5*v(d). Factor t(q).\nAnswer: q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 12*r + 3*v - 27 = -24*r, 2*r + 522 = 58*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310716429212 take away 0?\nAnswer: 310716429212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18903226 - 0.275\nAnswer: 18903225.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 91, -41, 3, 19, -4.\nAnswer: -41, -12, -4, 3, 19, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -67 (b) 0.5 (c) 1\/3 (d) -2.7 (e) -4\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let w(g) = -7*g - 4. Suppose 0 = -5*i + 4*c + 19, 2*i + 3*i = -4*c + 51. Suppose -i*a = -12*a - 325. Let x = -66 - a. Give x*w(u) + 6*z(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:09 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 156. What is t(-20)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b97 (base 12) to base 2.\nAnswer: -11010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10. Let v be 2 + (4 - 3 - j). Determine z so that 1\/5*z**2 - 1\/5*z**3 + 0 + 0*z - 1\/5*z**v + 1\/5*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247 + -118. Let t = u - 132. Which is the closest to 6? (a) -2\/7 (b) 9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - 15080\/(-1120) - 5\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-32)\/20)*-220. Let m = -222 + v. Suppose -3*j - 2*j - 5*d = -190, 0 = 3*j - d - m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 6*s - 5. Let o = 30 - 30. Let h be (-36)\/(-9) + (o - 9). What is the tens digit of a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s. Let a be c(-3). Let k be 16\/(-56)*(-1 + a). Suppose 2 = -4*x - k. Do x and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55337*l + 55374*l - 2109 = 0 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 1. Suppose -335 = -11*h - 346. Let s(y) = -3*y**2. Calculate h*s(t) - 4*f(t).\nAnswer: -t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 5*q - 4. Let u be i(6). Let j be (u\/2)\/((-2)\/6). What is the units digit of (-20)\/j + (-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + (-19)\/(-3). Suppose -2*m + s = m. Let 2 - 1 - t**m - 5 + 4*t = 0. Calculate t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*x = 245*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -428*c**2 + 28*c + 1768.\nAnswer: -4*(c + 2)*(107*c - 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*v - 5. Let c = -890 - -892. Let y = c - -6. What is the highest common factor of v and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.99 - -12. Let g = x + 0.14. What is g rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -12. Solve 0 = 2*c - 4*k + k - 4, l = c + k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 3106114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*q = 27, -3*q + 85 = -5*o + 2*q. Let u be (-1 - 0)\/(2\/o). Suppose 11*t - 3*t = 112. Calculate the highest common factor of u and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250058, -500118, -750178?\nAnswer: -1000238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 k when three letters picked without replacement from {i: 5, n: 1, k: 4, u: 1, d: 5, q: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*(-68)\/(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/30*(-3)\/(27\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u = -1292 + 800 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 17*x**2 - 16*x + 35. Let h be q(-18). Let y(r) = -38*r - 11. What is the lowest common multiple of y(h) and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 36 = 2*l. Let n = 7 + l. Let c(z) = 2*z**2 - 3*z + 4. Let q(r) = -3*r**2 + 6*r - 9. Let f(b) = 5*c(b) + 3*q(b). What is f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/(1\/(-58)). Let t be w\/(-104) - 8\/(-52). Let j = -497\/60 + 41\/5. Which is the nearest to -1\/2? (a) -1\/5 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149\/13 + -2957\/182. What is the common denominator of x and 21\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381480 = -7*n + 6*n - 11*n. Does 187 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -37, -65, -105, -157, -221, -297?\n\"Answer: -6*c**2 + 2*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.342381 nanograms?\nAnswer: 0.000000006342381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95469.48kg to micrograms.\nAnswer: 95469480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469 (base 12) to base 14.\nAnswer: 34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(1 - 4 + 1)*(-63 + 8 - 21*d + 77).\nAnswer: 126*d - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1511640)\/(-96)*(6\/15 + -1)*-4.\nAnswer: 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-4*o + 0*o + 2*o) + 0*o + o + 0*o + 0 + 0 - 32*o)*(4*o + 0*o - 3*o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50408865 and 1755.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 34860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1818, -3665, -5522, -7395, -9290, -11213, -13170?\nAnswer: -15167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c + 5. Let h be f(0). Let a(r) = r**3 + 4*r**2 - 5*r + 4. Let w be a(-5). Suppose -h*q + 2 = -4*q, -4*q - 80 = -w*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83269*y - 3*y**2 + 83269*y + 5.\nAnswer: -3*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:42 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*v + 3*v - 24, 0 = 5*n - 5*v - 10. What is the biggest value in -2, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -393, -228, -1, 288, 639?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - 326 + 24*t**4 - 4*t**4 + 4*t + 328 as f*t**4 + s*t**2 + b + y*t + h*t**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10700)\/46010*1\/(-10).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1371147444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 11*w**5\/20 + 5*w**3\/6 - 3*w + 10. Let s(b) be the first derivative of a(b). What is the second derivative of s(o) wrt o?\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 5, -1, 33.24, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2 - 890*p - 19488. Determine l(-22).\nAnswer: -4748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0 - 4 + 2)*(-21*k + 85 - 85)*(-3*k - 1 + 4*k + 2*k).\nAnswer: 126*k**2 - 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from ssxvsxsssvsq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 3924*v + 4. Determine a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l**2 + 4 - 22*l + 18 - 24*l**2. Let t be j(-12). Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {z: 2, i: 2, g: 2, f: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 19*i**2 - 25*i - 363. Let b be t(16). Solve -5*p = 3*x - 0*x + 14, -4*x - 7 = -b*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -324606, -649236, -973868, -1298502, -1623138, -1947776, -2272416?\n\"Answer: -z**2 - 324627*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 1, s: 9}. What is prob of sequence sse?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/126?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 divided by -266?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -925980 divided by -660.\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*c*l**2*n*w + 2*c*l**2*n - c*l*n*w - c*l*n - 287*c wrt w?\nAnswer: -98*c*l**2*n - c*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.163 times -1.76?\nAnswer: -1172.44688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 17\/2 (c) -2\/5 (d) -9\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -506 - -922. Let k = 415.9999652 - w. What is k rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401 divided by 41\nAnswer: -401\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(144) + sqrt(144)*2 + sqrt(144)))\/(sqrt(968)*-2*4).\nAnswer: 3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**3 + 973*d**2 + 2459497?\nAnswer: 9*d**2 + 1946*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 297*w - 352. Let v(m) = 17*m - 20. Let l(i) = 5*a(i) - 88*v(i). Let g(k) = -2*k**2 - 268*k. What is g(l(q))?\nAnswer: -242*q**2 + 2948*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 459785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15226 - -15221. What is the second biggest value in 2\/11, a, -227\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1178*c**3 + 354*c**4 - 1178*c**3 + (-4*c**2 + 6*c**2 - c**2)*(0 + 0 + 2*c**2).\nAnswer: 356*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.76 - 0.8. Let m = f - 0.54. What is m rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -56*y - 3. Let n be c(-3). Let o be (-6)\/5*n\/(-6). What is the greatest common factor of o and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230604.9 rounded to the nearest 1000?\nAnswer: -231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 265353?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z + 6. Let h = 8 - 6. Suppose h*g - 15 + 38 = -3*n, -4*n = -g + 16. Are z and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-6 + 11) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 298 - 318 = j, 0 = 5*y + 4*j + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-3)\/(-9))*15. Let a be ((-48)\/60)\/((-2)\/u). Factor -3 - x**2 - 8*x + 2*x - a*x**2 + 0.\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16239376907 - 236364130715448\/14555. Let y = h + -2\/2911. Let g = -6 + 25\/4. Find the common denominator of y and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. What is the least common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65271801 to the power of 1\/2, to the nearest integer?\nAnswer: 8079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28341\/(-18)*(-6)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 4. Let m be t(-5). Let f(a) be the second derivative of 5*a**4\/12 - a**3\/6 - 4*a + 4. What is f(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-12)\/7*(1680\/3024)\/((-5)\/42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*446\/4*-1. Suppose a = 4*q - 133. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -381 + 384. What is the second biggest value in 0, o, -2, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {m: 2, e: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 10*v - 2. Let m(h) = 11*h**2 - 21*h - 5. Let s(d) = 5*a(d) - 2*m(d). Find the second derivative of s(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759*s - 320 = 751*s. Calculate the remainder when 1798 is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -4. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615625367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 29 + 6 = 0. Let j(p) = 4*p - 6. Let h(m) = 9*m - 12. Let q(l) = i*j(l) + 3*h(l). Suppose 0 = -2*n - 4*r + 12, r - 3 + 0 = 4*n. What is q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*k + 107*k + 1608 = 0. Let p(g) = -g - 1. Calculate the remainder when k is divided by p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 3*k**2 + 2*k**2 + (3*k**2 - 6*k**2 + 2*k**2)*(-2 - 1 + 1) + ((-1 - 3 + 2)*(3 - 4 - 1) - 3 + 6 - 1 - 5 - 1 - 3)*(50*k - 50*k - 23*k**2).\nAnswer: 73*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7326130793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-374)\/1518 + (-2)\/23\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*h + 501*h + 468*h + 507*h + 496*h - 2419*h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -275*i - 109*i + 65*i - 73*i in the form x + c*i and give c.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1372 * -20.\nAnswer: 27440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 15*s**2 - 66*s - 61. Determine m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77822 is divided by 291.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 4, c: 2, v: 2, m: 4}. Give prob of picking 1 c and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a - a + 2*a - 3*a + (-5 + 5 - 2*a)*(-3 + 1 + 0) + 3*a + 0*a - a)*(3*a - 2*a - 2*a)*(4 - 2 - 1).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(160)\/sqrt(4))\/(sqrt(8)\/sqrt(4)*1))**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -35, 21 in decreasing order.\nAnswer: 21, 4, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (29 - (9 + -25 + 18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1298 = 547. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 140571, 281125, 421679, 562233, 702787?\n\"Answer: 140554*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 2. Let h be u(-2). Suppose h*y - 52 = 28. Calculate the remainder when (25\/y)\/(363\/180 + -2) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from {x: 5, a: 7, o: 2}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -576, -1217, -2074, -3123, -4340, -5701, -7182?\nAnswer: -8759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 906356387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*s - l - 7, 30 = 4*s + 5*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39034411*l**6 - 2*l**4 - 2*l**3 + 16447678*l**2 + 2?\nAnswer: -4684129320*l**3 - 48*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 + -194. Calculate the remainder when t is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229854094 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -58. Suppose 5*x = -0*x + 20. Solve 0 = -d + x, 2*g - g - p = -3*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-32994)\/(-52))\/27?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -647 or -1541098\/2377?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p**2 - 28*p - 31. Is k(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -120617\nAnswer: -2\/120617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:42 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 + a**2 - 2*a. Let m be h(2). Suppose 3*y + m = 5*u, 2*y - 16 - 11 = -3*u. What is the greatest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 15391*p - 478058. Determine o(31).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1490.2942 to the nearest 10.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(-5)*6*9\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -77317, 0 in descending order.\nAnswer: 4, 0, -77317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 9}. Give prob of sequence bi.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2*161\/(-21))\/(218\/(-654))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 9*o + 1. Determine j(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3 - (-2220000 - -2). Suppose -f + 1110001 = -u, u - a = -2*f - u. Round f to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 36*l - 36*l + 74*l - 1 = 0, 7*i - 9*i - 3 = -l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*z = 0, 3*n - 5*z + 16 = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4) - (0 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173.6 - -157. Let f = p - -17. Which is the second biggest value? (a) 1 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(80\/700*-7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 - -161. Let c = 46.21 - m. Let z = c - 0.71. Put 4, -1\/3, z in descending order.\nAnswer: 4, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.3. Sort 3, d, -0.03 in decreasing order.\nAnswer: 3, d, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, 99, 361, 727?\n\"Answer: 52*h**2 + 2*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 2*x + 38. Let t be v(0). Suppose 4*a = -4, -4*y + 4*a + t = 6. Factor j**2 - 12 - 10 + 3*j + 31 - y.\nAnswer: (j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.4, 38, 3\/2, 30, 0, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t + 14*t - 128 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (122\/3)\/(6\/9). Let o = u + -41. Which is bigger: o or 19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -23*b - 14. Let c(r) = -10 + 1 - 383*r + 736*r - 368*r. Suppose 5*f = 0, 25 = -5*d - 4*f + 3*f. Determine d*j(o) + 8*c(o).\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 6 = y - 9, v = 4*y - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = -c - 2, 0 = 2*c + 3*m + 11. Let b = -3 - c. Solve -4*z = -b + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -2915\/2?\nAnswer: -2915\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 19. What is q(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u + 96. Let p be t(13). Let f = -5 + p. Solve -4*n = -z + 7, 3*n + f*z - 9 = -4*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/79774937 and 61\/2.\nAnswer: 159549874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212947 divided by -509.\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2132*q**2 + 479*q - 2 wrt q.\nAnswer: -4264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 4*s - 4*c, -c = 5*s - 4*c - 388. Let a = 171 - 119. Let p = s - a. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129762 - 75541. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23301855457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 + 28*t**3\/11 - 566*t**2\/11 + 1472*t\/11 - 936\/11 = 0.\nAnswer: -26, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.1009.\nAnswer: 2.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bbiq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -908.681 - -1134.83. Let f = -226 + w. Round f to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 33 = 55. Calculate the remainder when 76 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801195911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356174 by -15.\nAnswer: -356174\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/28*532\/(-114)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - p**4\/4 - 10*p**3 + 71*p. What is the second derivative of k(v) wrt v?\nAnswer: 6*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 (base 12) in base 11?\nAnswer: 8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -4\/55, -4, 5?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)**(7\/5)\/((f**(10\/7)*f)\/f)**6 assuming f is positive.\nAnswer: f**(-251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.32042 to one dp.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35466 is divided by 137?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*v + 41 - 63 = 0, m = -9*v - 17 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-121)\/(-55) + -6)\/(4\/(-60)). Solve -8 = -2*c, 56*k - m*k - 5 = -c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-7)\/(-4))*(-3)\/(-6). Let c(a) be the first derivative of -2\/3*a**3 + 2*a**s - 2*a + 1. Factor c(z).\nAnswer: -2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -534381\/230 or -2324?\nAnswer: -2324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -439 and -40062\/91 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**2 - 5. Suppose 9*n + n - 20 = 0. Let m be 2 + 3\/3 - n. Let k(c) = -73*c**2 + 36*c**2 + 36*c**2 + m. Calculate -3*f(o) - 15*k(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 92 - 598 = 0. What is the remainder when 448 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 divided by -5.\nAnswer: 459\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = i - 7276, 4*n - 12*i - 29136 = -8*i. What are the prime factors of n?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:58 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 149, 347, 625, 983?\n\"Answer: 40*s**2 - 2*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758848573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v*v*v*v**6*(v**2*v)**11*(((v**(4\/3)*v)\/v)\/(v*v\/(v*v**5*v)))\/(v**(-4\/5)\/(v\/(v**(-6)\/v))) assuming v is positive.\nAnswer: v**(842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q + 3. Let w be x(-5). Suppose -t + s = -0*s - 29, 4*t - 3*s = w. Suppose -5*d + 34 + t = 0. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*v - 2590*v - 1 + 0.\nAnswer: -1994*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.4 (c) -4849019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 407*m + 3496. Give l(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(228)*4 - sqrt(228)) + sqrt(228))\/(-2*sqrt(12)*6 + sqrt(12) + sqrt(12))*-6.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 160.01 and 1162900.513.\nAnswer: 1163060.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + 580?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13298378923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155509395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - 62)*(-3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/(b**(-2)\/b)*b**4\/b**0)**(-6\/23) assuming b is positive.\nAnswer: b**(-72\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 13 = 15*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-552)\/3450)\/(2\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -255 - 4?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 - c**2\/2 + c + 248. What is r(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a + 1\/6*a**3 + 1\/60*a**5 + 1\/12*a**4 + 2 - 1\/2*a**2 + 1\/12*a**6. Let g(t) be the second derivative of l(t). What is g(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*d + 2543 - 4079 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21925600 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-10 + 3)*(-1 - 0). Suppose 5*p - 97 = -a, 2*a - i*a - 4*p = -100. What is the lowest common multiple of a and 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-278)\/(-54) - (-37 - 805\/(-23)) - 7?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151849638 rounded to the nearest 10000?\nAnswer: -151850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 0.2, 3, -2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:12 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522534 - -3?\nAnswer: 522541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3550406 (base 8) to base 3.\nAnswer: -1211022222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:35 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, -3, -1.\nAnswer: -30, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0079394726 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3110, -7, 17, -3 in ascending order.\nAnswer: -3110, -7, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*i**2 + 22*i**2 - 26*i**2 + (2 - 2 + 2*i)*(3*i + 2*i - 6*i).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101 + z + 14 - 10*z**2 + 3*z wrt z.\nAnswer: -20*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -842 - -841.8. Let c = 0 + -0.1. Sort z, c, 4 in descending order.\nAnswer: 4, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 143.832 and -1.4?\nAnswer: -201.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 520, 1037, 1554?\n\"Answer: 517*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233013 (base 4) in base 8?\nAnswer: 25707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -3 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6424364 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-29213940267\nAnswer: -29213940266.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103479*l + 26322 = -103725*l for l.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442955037 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajajmljjaajlgj. What is prob of picking 1 l and 2 j?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q - 16*q - 11*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101101110100000010001101?\nAnswer: -101101110100000010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 5, g: 3}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3649 and -1058464.506.\nAnswer: -1058463.1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 73\/24*p**4 + 0*p + 6*p**2 + 0 + 2\/3*p**3. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/27 (c) 2\/3 (d) -0.3 (e) 11\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 4476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + d + 163 = 21*x, -2*x + 74 = 4*d. Solve x*g - 85 = 47 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6556 (base 12) to base 8\nAnswer: 25622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 33. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0574 and -0.0759.\nAnswer: -0.00435666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 1421*k + 1424*k = -287, -1 - 3 = -k - 0*k for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-1659))\/((168\/(-18))\/14)*48\/360.\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 2. Let h = 4 - -11. Suppose -2*i = 5*l - h, 2*i = 2*l + 6 + 2. Are i and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177375, 175205, 173035?\nAnswer: 170865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 + 0*q**2)*(-3*q - 4 + 4)*(-3*q**2 + 3*q**2 - 3*q**2) + (3*q**4 + 3*q - 3*q)*(-9*q - 8 + 8).\nAnswer: -18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 389 and 391 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q - 48. Let r = q + -9. Suppose -h = -5*m + 30, 4*h + r = -3*m + 8*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -928909*b**3 - 2 + 2 + 928577*b**3 - 73*b + 8*b**2 wrt b.\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4335 - -4334. Which is the third biggest value? (a) -1.4 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73769 is divided by 18442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (71\/(-710))\/((15\/(-3))\/(-5))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268 - 140. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 4*s - 1. Suppose -6*i - 3*i + 27 = 0. Calculate x(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10837274 by -72.\nAnswer: -5418637\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(9)\/sqrt(3) + 5 - (sqrt(75) - -2*(sqrt(75)*3 - sqrt(75)) - sqrt(75))**2.\nAnswer: -1198 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {b: 3, f: 4, w: 4, k: 3}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 12) to base 16\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.8838 - 0.03643?\nAnswer: -46.92023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 8*p**2 - 9*p + 1. Let q be c(-9). Solve -q = -n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-1) + 0 - 1. Suppose -8 = 4*g - 8*g. Solve g*n = a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 1953, 2954, 3955?\nAnswer: 4956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-9) - 68\/(-36). Suppose -2*l + 1 = -r, 4*l - 18 = -4*r + u. Solve 10 = r*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (0 - (2 + -13)) - (5 - 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -14*v. Put v, 1, 15 in increasing order.\nAnswer: v, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287024089 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3602799 or -3602801?\nAnswer: -3602801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2 - -3) + 3. Suppose -136 = -4*z - 2*m - 0*m, 4*z + p*m - 140 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5624?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/3*m**2 - 1\/90*m**6 + 1\/60*m**5 + 1\/12*m**4 - 1\/18*m**3 + 49 - m. Determine p, given that u(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 19*u**4 + 6*u**2 + 6*u - 8. Let p(b) = -37*b**4 - 11*b**2 - 11*b + 15. Let y(s) = -11*h(s) - 6*p(s). Differentiate y(m) with respect to m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68.3 - -69.3. Which is the third smallest value? (a) 0.5 (b) 1\/3 (c) r (d) -5 (e) 22\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-952839666\nAnswer: -952839665.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -10*x - 4*x. Solve -13 = 3*a - 4*i, -a + i - x = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100000101110111 + -100?\nAnswer: 1100100000101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Let x = -208279 - -208348. Sort -2, x, k in increasing order.\nAnswer: -2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 200, 330, 530, 812, 1188?\nAnswer: 1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of (-101 - -1)\/(-5 + 1848\/372)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3231000 to the nearest ten thousand.\nAnswer: -3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 570173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 802 or 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 37. Let o(s) be the first derivative of -s**2\/2 - 20. Determine o(w(j)).\nAnswer: j - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-20)*-30 - 752\/126?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -1a87?\nAnswer: -1abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2414271 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(49)\/sqrt(175))**2.\nAnswer: -2*sqrt(7)\/5 + 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -96, -0.6, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 + 619975*r**3 - 22933385*r**2 + 143160465*r + 1366636950 = 0 for r.\nAnswer: -5, 21, 123958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 197*c**3 - 5*c**2 - c + 283. Let p(a) = -a**4 - a**3 - 5*a**2 - a. Let j(o) = -p(o) + v(o). Differentiate j(g) wrt g.\nAnswer: 4*g**3 + 594*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 + 1)*(1 + 4 - 3) + (3 - 3 + 3)*(-1 + 4 - 1))*(45 - 47 - 4*t**4 + 0*t**4) in the form j*t**4 + d + w*t**3 + f*t**2 + v*t and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 t when four letters picked without replacement from uuututuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*q = -1082*q - 621 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by 138646?\nAnswer: -219\/69323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k - 4. Give b(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 3426*t**2 + 3 + 114*t**4 - 3 + 2 + 3427*t**2 to the form n*t**2 + r + p*t**4 + z*t**3 + i*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, t + 4 - 3 = -j. Suppose -p + 4709 = 7*o - 5*o, o - 2347 = -j*p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + -4 + -3 + -3.\nAnswer: -10 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/(3\/(-15)). Let a = 7 + -11. Let j be a*-3*3\/12. Solve -5*c + d*s = -10, -4*c = -0*c - j*s - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54064 and 1668371.\nAnswer: 1722435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -348*p. Let u(f) = -f + 28. Give d(u(n)).\nAnswer: 348*n - 9744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*a + 45. Suppose -7*z + 2*z - 4*t = -58, -a*z = -3*t - 44. Suppose z*v - 7*v - 54 = 0. Calculate the smallest common multiple of v and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, -2\/7, -3\/29, 0.07, 0 in ascending order.\nAnswer: -0.4, -2\/7, -3\/29, 0, 0.07, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 1. Let k(d) = -3*d + 1. Let q be (-15 - -15)*(2 - 6\/4). Suppose q*m + 11 = 3*m - g, 0 = m - 3*g - 1. Calculate m*x(w) + 3*k(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2988950 - 4988950. What is k rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffykkkyqffq. Give prob of sequence qkff.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {t: 1, b: 1, o: 5, e: 1, j: 1, f: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110475 and 27.\nAnswer: 331425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47691378 divided by 6?\nAnswer: -7948563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/8*-2*14\/12.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*n - 684 = -31*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.354 + -0.146. Let a = 27.50000795 + n. Round a to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 + 827*k - 414*k - 372*k + 1.\nAnswer: -10*k**2 + 41*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 29. What is the remainder when s is divided by -1 - -22*1 - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11046813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/34269 and 57\/2238908.\nAnswer: 6716724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -5, -7, 2, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21792 is divided by 5443?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51923653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 962*a**2 + 963*a**2 - 1914*a**2 in the form z + i*a + r*a**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -24, -18, -4, 18?\n\"Answer: 4*q**2 - 14*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*12\/((-11088)\/(-12)).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6610, -6618, -6626?\n\"Answer: -8*z - 6602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a**2 + 58*a**2 - 6*a**2 + (4*a - 3*a - 2*a)*(-3*a + 0*a + 12*a)*(5 + 0 + 0) as b*a + i*a**2 + p and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 39 (b) -0.2 (c) 2\/13 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 36. Let x(p) = 0*p + 12*p + 8*p - 15 + 5*p - 24*p. Let n(d) = 2*s(d) + 5*x(d). Let k = 5 + -8. What is n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**5 + 251360*i**4 - 5265070344*i**3 + 36758965950784*i**2 + 36764231272492*i.\nAnswer: -4*i*(i - 20947)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcgvvgggmmgvgggvg. Give prob of picking 2 g and 2 v.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34, -45, -60, -79, -102?\n\"Answer: -2*k**2 - 5*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**3 - 23584350*i**2 - 6621688665888*i - 1891909122144 = 0. Calculate i.\nAnswer: -561532, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -5\/19 (c) -9 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2241, 71, -2, 0, 5 in descending order.\nAnswer: 71, 5, 2\/2241, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1) - ((-136)\/48 + 6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 - 14*a + 195)*(-a + 3*a - 3*a)*(0 - 2 - 1).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -3 + -45)*(-1)\/(-3). What is the closest to s in -5, 0.3, 1, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13800571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 4 (b) 2\/7 (c) -0.2 (d) -4\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -27. Let k be (-16)\/z + -2 - (-2)\/5. Suppose 5*w + 174 = 4*x, -w - 136 = -3*x - k*w. What is the remainder when x is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1947?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*5\/(400\/(-32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:11 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8426\/88 - (2 + (-5)\/4). Let d = 99 - q. Solve 0 = 5*k + 5*s + 5, 5*k + d*s = -2 - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by 32\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 346291703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5720 and -0.3?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329 - -311.9. Let j = m + 16. Let s = 6.1 + j. Which is the second smallest value? (a) 4 (b) s (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 0 + 10 - 6.\nAnswer: 8*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 - 0.076. Let v = 0.646 + n. Let z = -0.67 + v. What is the nearest to 0.1 in 0.07, 1\/3, z?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-351)\/234*(-8)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6031646 - -14?\nAnswer: 6031662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -48*g**3 + g**2 + 3*g + 1. Determine s(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*9\/(-30). Suppose 5*i - 14 = -2*r, 0*i + 4 = 5*r - 3*i. Let k be r\/12 + 1\/(-6)*-7. Which is the biggest value? (a) 5 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391367296.\nAnswer: 2, 29, 59, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48487, -48494, -48501?\n\"Answer: -7*i - 48480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136836\/41 greater than or equal to 3337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 4*x**2 + 3*x - 1. Let q be u(2). Suppose -b + q*y + 14 = 0, -19 = -b + 4*y - 7. Suppose 0 = -p, -2*t + 30 = -2*p + b*p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385493204 divided by 2\nAnswer: -192746602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 20*s - 215. Calculate the remainder when 300 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9234991 * 14.\nAnswer: -129289874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**2*w**2 - 779619*d**2 - 2*d*w + 2339*w**2 - 28*w with respect to w.\nAnswer: 8*d**2*w - 2*d + 4678*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14690797*a**5 - 211*a**2 + 12572*a?\nAnswer: 881447820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16264 - -447?\nAnswer: -15716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 741\/253 - -10\/23. Let c = 12 - 4. Find the common denominator of l and 3\/7*c\/(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + 10054536?\nAnswer: 10054625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 138*d**3 + 4*d**2 + 4*d - 138. Let h(y) = -140*y**3 - 5*y**2 - 5*y + 138. Let b(z) = -4*h(z) - 5*w(z). What is the first derivative of b(g) wrt g?\nAnswer: -390*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = 6150. Let q = -859 + p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(2\/11))\/b)*b*(b*b**(3\/2))\/b*b*b**(2\/11)*b*b\/(b*b**(-2\/11))*b)**46)**3 assuming b is positive.\nAnswer: b**(10695\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 2, -12, 4, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -705227*p + 705284*p - 2508 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjjjjwbjbbbbj. What is prob of sequence wj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.2809 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2 = 0, 0 = 4*w - 272*z + 269*z + 30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -i - 5*g, -1831*g + 1816*g - 135 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-78)*(-86)\/774*39?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5382*u**2 - 182*u + 273. Let q(b) = b**2 + 2*b - 3. Calculate -182*q(j) - 2*s(j).\nAnswer: 10582*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (31725\/2538)\/((-3 + 1)\/3506560). Round u to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*n - 26*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(75) + -1 + 0)**2.\nAnswer: -10*sqrt(3) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*-2*(42 + -41)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154728 and 106204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 11955*b**2 + 190 + 0*b + 3*b - 189.\nAnswer: 11955*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 58*j - 6. Let r be u(-29). Let s(g) = g**2 + g. Let n(i) = 5*i**3 + 3*i**2 + 3*i. Give r*s(w) + 2*n(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 - 540*i**2 + 7 + 88*i**2 + 227*i**2 + 135*i**2 + 94*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*z + 4*q - 7, 0 = 3*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + 8*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236264 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4*h - 14)*(3 + 0 - 1)*(-h**2 + h**2 - h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a + 5*a + 6*a)*(0 + 3 + 2) in the form v + s*a and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -34 - (44 + -77 + -3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 + 51701836\nAnswer: 51701837.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2 - 5*f - 2 + 3. List the prime factors of w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 13930.\nAnswer: 55720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let q(a) = -3 + z + 2*a. Let o(g) = -g. Give q(o(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 226457.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 282331.4 milligrams?\nAnswer: 282331400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 17896?\nAnswer: 89480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-43)\/(-344)*152.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 2*u**2 + 0*u + (-28*u + 4*u - 10*u)*(2*u - 2*u - 19*u) to t*u + x*u**2 + j and give x.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a (base 12) in base 8?\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 - (1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 5. Let l = -2 - -9. Calculate the remainder when z(-6) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*s - 6 = 0, -7*x - s + 7 = -3*x. Let i(r) = 2*r**2 - 13*r + 26. Let q be i(3). Solve -2*a - x*a = 4*k - 20, q*a - k - 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(1 - (-13 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 + 3 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 12*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1649 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 7*m**2 + m + 8. Let g be p(6). Suppose -2*u = 4*a - 334, 0 = -a - a - 4*u + 182. Let w = a - g. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.082 - 0.182. Suppose -u = 3*u - 36. Which is the biggest value? (a) l (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -0. Find the third derivative of -b**3 + 3*b**2 - 6*b**2 + b**g wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60511264.\nAnswer: 2, 11, 103, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = 2*o, -20 = -4*o + 3*u + u. Let a be (-7)\/(-14) + (9\/(-2) - o). What is the fourth biggest value in 4, a, 2\/5, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/600)\/((-11)\/44)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788 + 1128*c - 569*c - 560*c.\nAnswer: -c + 788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.9117mg in nanograms?\nAnswer: 265911700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjmha. Give prob of sequence jma.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -408\/53, 0.3, -2, 3 in descending order.\nAnswer: 3, 0.3, 2\/7, -2, -408\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d + 13a31b?\nAnswer: 13a29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9038593123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -822.899984591 + 822.9. What is z rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(1*(sqrt(363) + -1) - -3*(sqrt(363) + 1)))**2.\nAnswer: 16896*sqrt(3) + 557952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*j**2 + 343*j**2 + 968*j**2 in the form z + f*j + y*j**2 and give y.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8675\/4502 or 2?\nAnswer: 8675\/4502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11701 divided by -4?\nAnswer: -11701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z + 19. Let q(j) = -5*j + 10. Let d(u) = 13*q(u) - 6*r(u). Let m be d(-8). What is the derivative of m + 2*c**4 - 2 - 6*c**4 wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/690 and -63\/575.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 2 s when four letters picked without replacement from {u: 1, y: 1, w: 3, h: 3, s: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8078 and 18?\nAnswer: 72702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13594, -1 in descending order.\nAnswer: 13594, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcf when three letters picked without replacement from cqpppfqqqcqplflqpqfq.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 - -5 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c + 5*p, -5*p - 21 = -4*c - 4. Solve v + 3 + 5 = -3*l, -4 = -l + c*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26324*g**5*w + 51*g**2 - g + w + 4 wrt g?\nAnswer: 1579440*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 7*g - 6*g. Is (39\/(-12))\/((-4)\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.4, 1064 in descending order.\nAnswer: 1064, 0.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-280 - -365) + -6 + -90\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 34*p + 7. Let i be h(5). Let y be i + 1 - 20\/(-10). What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*x = 6, -9*x - 6 = -6*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 34299*c + 157915779\/2.\nAnswer: 3*(c - 20269)*(c - 2597)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1170 + -772. Suppose 6*y = y - 15, -2*y = -4*a + w. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5110 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3294 times -0.105?\nAnswer: -1.924587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2. Let m be b(1). Suppose m = 3*a - 4*a. Let z be 6\/(-22)*10\/15. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12.9. Let h = -4 - -6. Let x = h + -2. What is the closest to x in w, 3\/4, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 18*d - 27*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 40\/101?\nAnswer: 40\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-14)\/12)\/1. What is the nearest to 0.1 in -0.5, -1\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i**2 + 1161*i + 31. Is u(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 6869880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/10)\/(5\/25). Suppose 0 = -5*g - 3*j + 5 + y, -3*j + 1 = -2*g. Suppose -2*c + g + 5 = 0. What is the highest common divisor of 27 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 489, -31, -2, 4, 0 in decreasing order.\nAnswer: 489, 4, 0, -2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxeeq. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -29. Let w = -7 + q. What is the remainder when 59 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 2. Let j be t(0). Suppose j*y = y. Solve 0 = -5*n - i + 16, -2*n + i = -y*i - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = 11. Let t = m + 8. What are the prime factors of (-126)\/(-4) - t\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d - 37. Determine o(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13851 and 166839?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 + 44385*z**2 - 3*z - 44245*z**2 + (4*z - z - z)*(-3 + 3 + z) to the form k*z**2 + s + d*z and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 15. Let d(k) = -2*k + 8. Determine -7*d(i) + 3*t(i).\nAnswer: 2*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -184*x - 418. What are the prime factors of m(-10)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44\/(-99) - (-996)\/54 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -437593\nAnswer: 875186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1228 divided by 1123\nAnswer: 1228\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**2 - 56*w\/3 - 104 = 0 for w.\nAnswer: -26\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h + 2*h)*(-2 + 5 - 2) + h + 3*h - 2*h + 0*h + 3*h - 2*h)*(1 + 3 - 1).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1300) + sqrt(1300) + (sqrt(1300) + sqrt(1300) + 1*sqrt(1300))*-1)**2 - 5*-1*sqrt(1300)) + -2 + -1)*1.\nAnswer: -7803 - 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 3*x**2 - 4*x + (-2*x - 2*x + 2*x)*(-x + 0*x - x) + 0 + x**2 + 0)*(-5*x + 12*x - 71*x).\nAnswer: -512*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135934859 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 minutes after 4:36 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 66369 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: Calculate prob of sequence wjjj when four letters picked without replacement from jpjjwppwjpwpwwpwjpj.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 1, p: 3, k: 4, b: 6}. What is prob of sequence pj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let k be 4 - (0 - (t - 0)). Let z be -6 + 14009 + (1 - k). Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 9. Suppose 0 = t + 4*t - 20. Let n be u(t). Calculate the remainder when 70 - n*(-3 - -3) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = 2*n + 7*n. Let x(i) = -n - 2*i + 88 + i. Calculate the remainder when x(-12) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-18)*(-444)\/(-370). Is j smaller than 2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5299220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 4*s - 6*s. Let a(c) = -c**2 + 2*c + 2. Let j be a(2). Let g(q) = 1469*q - 1469*q - j*q**2. Determine g(p(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3622)\/(-14) + (-4)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (790\/20)\/(1\/(-6)). Let k = -114 - r. Suppose f - 1 = 2, 3*g - k = -5*f. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*((sqrt(76) + (sqrt(76) - (3*sqrt(76) + sqrt(76))) + sqrt(76) + sqrt(76))*-5 - sqrt(76))\/sqrt(4).\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let x be j(0). Suppose -2*a + 4*i + i + 163 = x, -i + 78 = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*m + 10073*m**3 + 62*m**4 + 60*m + 4194*m**2 - 10070*m**3 wrt m?\nAnswer: 1488*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8734 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 2) + 94 + -50 + -36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 216730*t - 216686*t + 616 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(4*s**3 - s**3 - s**3) - 6 + 6 + 2*s**3 + (2*s - 6*s + 3*s)*(10 - 3*s**2 - 15 + 2).\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 60 = 10*z + 5, -12*z - 4 = 6*z - 12*z + 2*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**2 - 6*c + 7. Let r be p(1). Suppose -a + 18 = -r. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108))*4*-1 - (3*6*(sqrt(108)*1 + sqrt(108)))**2.\nAnswer: -139964 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7410\/(-13))\/((-6)\/74000). What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 32\/6) + -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 749 (b) -3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 7:28 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 14}. What is prob of sequence huhu?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -461*y - 806. What is the thousands digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 23\/4, 3958?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.2, -3\/8, 4, 0.05, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2224.1 - -51801.5.\nAnswer: 54025.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 6:25 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 + -19 - (47 - 41))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -1.4\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*l + 3, 4*l + 29 = 6*o - o. Let g be -4 - ((-2)\/6)\/(o\/117). Let -1\/2*r**3 + 2\/3*r + 0 + 1\/6*r**5 - 2\/3*r**2 + g*r**4 = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(-3*8\/540)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(f**3 - f**2 + f**2) + (-5*f + f + 2*f)*(3*f**2 - f**2 - 3*f**2) - 2 + 2*f**3 + 2 to the form c*f**2 + i + y*f + h*f**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 0, -7 in descending order.\nAnswer: 10, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 4*o**3 - 2*o**3 + (0 + 3 - 2)*(3*o**3 + 6 - 6) + (1 - 3 + 0)*(10*o**3 + 8*o**3 - 23*o**3) as i*o**3 + w*o**2 + u*o + s and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 15 = 0, -2*f + 1113*l = 1108*l - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 55 = 2*t. Which is the second biggest value? (a) 6 (b) t (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejyyeyyy. What is prob of sequence ye?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6102 = -52*k + 7194 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.386752768 to 5 dps.\nAnswer: 0.38675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -90*d**3 + d - 3. Let n be a(-2). What is the greatest common factor of n and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 23*g**2 - 16*g - 22. Give f(-13).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 59*h - 2 = 4*s, -2*s - 17 = 15*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 4. Let u = 49 + -43. Let j be 3\/u + a\/2. Which is smaller: 2\/17 or j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113439985 = 4*f + 3*s, -3*f - 113439975 = -7*f - 5*s. Suppose f = -5*q + q. What is q rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1978?\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 4, d: 1}. What is prob of sequence zdh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (129\/18 + -6)\/((-1)\/(-6)). What is the tens digit of j\/((-182)\/(-5100)) + (-6)\/39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920472022 to the power of 1\/2, to the nearest integer?\nAnswer: 30339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:29 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0, 2, 18547, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4 - 31*n**2\/2 + 38*n + 200. Is v(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1021 + 1026. Let h(r) = r**3 + 19*r**2 + 47*r - 14. Let y be h(-16). Solve s - y = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 35. What is the remainder when 1092\/70*20\/3 is divided by g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473\/11 + 14\/((-224)\/144)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = -3*o, -4*s + 2*o = 4*o - 8. Suppose 2*u - u - s*f + 2 = 0, -61 = -2*u - 5*f. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 943*w**2 - 96*w + 54*w - 952*w**2 + 3 + 50*w + w**3. Let m(k) = 2*k**2 + 6*k. Let v be m(-4). What is y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2 - 2 + t + 4*t**3 - 2*t + 1. Let f be z(1). Let p = -12 + 18. Calculate the greatest common factor of f and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424055622162 - 0.3?\nAnswer: -2424055622162.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*44\/33?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558727596?\nAnswer: 2, 3, 7, 113, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*i**3*q**2 - i**3*q - 303*i**3 - 2*i**2*q + 24*i*q**2 + 6*i - 16*q**2 + 2 wrt q?\nAnswer: -64*i**3 + 48*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 = -h, 5*a + 3*h - 30 = 4*h. Suppose 46*x - 36 = 148. Put -5, x, a in descending order.\nAnswer: a, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461.9728 - 448\nAnswer: 13.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354529147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 65*j**2 - 62*j + 114. Determine f(-64).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 + 8 + -10 + 13 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -1\/8 (c) -2\/9 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 2, 11 in decreasing order.\nAnswer: 11, 2, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t + 3. Let j be r(-6). Suppose 0*s = 5*g + 3*s - 9, 4*s - 1 = -j*g. Suppose 0 = -o - 1 + g. Solve -z = -3 + o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g - g - 2*g - 2*g**2 - 3*g**2 wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.93766 to 2 dps.\nAnswer: 24.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.9. Let v = 3 + -2.9. Let h = -2496 + 2500. What is the nearest to b in 5, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 5*n + 12, 0 = 3*n - 15 + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2238.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57882 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3 - (-24)\/(-16)*596\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*d + 23*d + 14*d - 37*d - 32*d to the form z + o*d and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 41, 2, 8, -404 in descending order.\nAnswer: 41, 8, 2, -11, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093139747 to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Suppose n*c - 11 + 3 = 0. Let y(q) = 5*q**2 - q**c + q**2. Let t(m) = 2*m**2. Determine y(t(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 82, -17, -2, -6, -7 in ascending order.\nAnswer: -17, -7, -6, -5, -2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 1\/180*c**6 + 1\/3*c**3 + 0*c + 0*c**2 - 1\/30*c**5 + 3 + 1\/8*c**4. Let f(y) be the third derivative of v(y). What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4271, 46, -6995, -16852, -29525?\n\"Answer: -1408*z**2 - z + 5680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -573 (b) 14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -79?\nAnswer: 37\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1013 + -26361?\nAnswer: -25346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*52\/5*45\/(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 0.13. Let h = -4.11 + 0.11. Let r = h + 5. What is the closest to -1\/2 in d, r, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2, 4, 2\/13, 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 4*(63\/12)\/7. Let w be 45\/(-105)*(-20)\/j. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/12 - 7*k**3\/6 + 2*k**2. Let p = -4 + 44. Let r = p + -34. Give c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/20 + l**4\/6 - 25*l**3\/6 - 41*l**2. Let b(p) be the first derivative of y(p). Give b(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kknn when four letters picked without replacement from nnnnnknnnnknnnnnnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 2\/3, -7250, 8.45, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 555, 740, 1049, 1482, 2039, 2720, 3525?\n\"Answer: 62*h**2 - h + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -8. Suppose -v*n + 141 = 4*s - n, 57 = 2*s + 5*n. Suppose -2*d = 2*d - s. What is the lowest common multiple of 6 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2960 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 - 263. Let g(m) = -m**2 + 8*m - 8. Let s be g(6). Solve 32 = s*c + 6*a - a, -22 = -h*c - 4*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 180*w**3 + 16*w**2 - 18*w + 6. Let h(x) = -179*x**3 - 14*x**2 + 15*x - 5. Determine 6*h(u) + 5*n(u).\nAnswer: -174*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2243, 8953, 20149, 35843, 56047, 80773, 110033, 143839?\nAnswer: 182203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7*o + 3 = -10*o, -3*o = -4*m + 6. What is the smallest common multiple of 0*2\/(-4) - -3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + u + 8, -3*p = 5*u + 8. Suppose -o + 44 = p*f, -4*f + 2*f + 22 = o. Suppose 5*x - f = 19. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (278 - 109 - 128)*(2*c**4 - 1 + 1).\nAnswer: 82*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(13\/(-6)). Let j = -0.1 + 0.1. Let l = -0.2 + -0.8. Which is the closest to -1? (a) l (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203885 - -203887. Find g such that 0 - 3\/2*g**y - g**3 + 0*g + 1\/2*g**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 185*b + 10*b + 6020 = 0 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:34 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 4 + k**2 - 1 + 0*k**2 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v + 15*v - 34*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8, -10*n - 3*q = -15*n - 6. Factor -1\/5*d**2 - 1\/5*d + 1\/5*d**3 + 1\/5*d**4 + n.\nAnswer: d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -2\/7, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -385825*x - 2314954. Calculate o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*p + 66*p - 16*p)*(66 - 6*p**2 - 66) to x*p**3 + f*p**2 + u + o*p and give x.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0*i**5 - 3*i - 102*i**2 + 3 + 0*i**4 + 0*i**3 + 46\/5*i**6. Differentiate v(r) with respect to r.\nAnswer: 1104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in -2, -52.61, -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 = -122838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 18\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9158\/9 - 1018. What is the smallest value in -4, 8\/5, 2, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2544 and 162339.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7964, -16013, -24064, -32117?\nAnswer: -40172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = 15*n - 881 + 22. Solve n + 117 = 45*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168390458 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/5 - 14*y**3\/5 - 24*y**2\/5.\nAnswer: -2*y**2*(y + 3)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -126, -187, -260, -351, -466, -611?\n\"Answer: -b**3 + 3*b**2 - 57*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 61*n**3 - n**5 - 61*n**3 + (0 - n**2 + 0)*(-7*n**3 + 5 - 5).\nAnswer: 6*n**5 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**3 + 1392*t - 1392*t + 7*t - 7*t - 6*t**3 + (2*t**3 + t - t)*(-6 + 4 - 2).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 599 and 209051?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/6 - -2)*2. Let h(t) = 69*t**3 - 5*t. Let o be h(k). What is o rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + v**3 + 2*v**2 + 2 - 5 + 3*v**2. Let a be q(-6). Factor -2*j**3 - 2*j**2 - 4*j + 4*j**a + 2*j**4 + 2*j.\nAnswer: 2*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 + 280. Let h(d) be the second derivative of 1\/10*d**5 - 1\/6*d**4 - 3*d + 0*d**2 + 0*d**j + 0. What is the third derivative of h(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(3\/11))**48 assuming x is positive.\nAnswer: x**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 449*z - 447*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q**2\/2 - 4841*q\/4 - 6001 = 0 for q.\nAnswer: -68, -353\/66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -64*u**3 + 37*u + 325. Differentiate x(k) wrt k.\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 22 - (3 - (6 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 578276903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5589 - -511. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/6)\/u*u*u*u**(-19) assuming u is positive.\nAnswer: u**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 15, 30, 61, 114?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*6\/(-63))\/((133\/(-912))\/(147\/(-28))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115123.\nAnswer: 115123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 3) - (18 + -7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 33*n + 113. Is r(-21) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -57 + 1\/(-1)*-3. Let k = w - -59. Find the second derivative of 3*b - b**4 - 17*b**5 + b**4 + 2*b**k wrt b.\nAnswer: -300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*i = -287*i + 600*i - 1701 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**4 + 2274*c**3 + 3662*c**2 + 462*c - 916 = 0.\nAnswer: -1, 2\/5, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, 0.2, 1, 1473?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -625879, -1251751, -1877623, -2503495?\n\"Answer: -625872*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 21, 26, 29, 30?\n\"Answer: -n**2 + 10*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*d - 12, 5*d = -4*h + 1 + 26. Let a(s) = -h*s**2 + 13 - 13. Let r(k) = -k**2 - 4*k**2 + 59 - 59. Give r(a(u)).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6 + 3.2. Let t = -6 - r. Which is the biggest value? (a) 2 (b) 1\/10 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*w - 3. Let h = -0.0297 - 63.9703. Let f = 65.6 + h. What is the biggest value in 3\/4, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -309*h - 2726. Let u be s(-9). Calculate the greatest common divisor of 913 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 10*n**2 - 8*n - 7. Let t be a(9). Suppose 0 = -l + t*l - 9. Suppose -8*m = -l*m + 24. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203973*d**3*u**4 - 13239*d**3*u - 6*d**2*u**2 wrt u.\nAnswer: 4895352*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167124 divided by -2199?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01506227 to 4 decimal places.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 30. What is the tens digit of 1 - x\/((-30)\/(-425))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c - 1. Let m be 4\/(-18) + (-75)\/27. Let w = m - -2. Let d(o) = 4*o**2 + o + 3. Determine w*d(q) - 2*u(q).\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 391.8998 millennia?\nAnswer: 391899.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = -8*j - 46 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -555 - -364. Suppose -4*p + h = -1403, -p + 0*p - 2*h + 362 = 0. Let k = q + p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861633159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by (-14 - (-497)\/28)*28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*r + 51*r - 31*r**2)*(-2*r**2 + 2*r**3 + 2*r**2).\nAnswer: -62*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39882059 is divided by 39882056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 greater than -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04293 and -1.\nAnswer: -0.04293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*w - 24 = 0, -g - 5*w - 4 + 16 = 0. Is 7 + g + -1 - -290 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - -3 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28695\/59957 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/5*h**5 + 0*h**2 + 16\/5*h**3 + 0*h**4 - 32\/5*h = 0. What is h?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and -329.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 67. Let r be h\/24 - 2\/(-8). What is the units digit of 2\/10*r + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 32*p + 11*p**2 + p**2 + 3*p**2 - 5*p**2 + 37*p.\nAnswer: 15*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558218 is divided by 69?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 675299.6 weeks?\nAnswer: 408421198080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**2 + 68 - 4*g**3 - 68 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6287.7 + 15\nAnswer: -6272.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*p - 2688 = -110*p. Suppose p*u = 164*u. What is the smallest value in u, -1\/4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 44331?\nAnswer: -44333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1279\/2 or 639?\nAnswer: 1279\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m - 5823 - 6415 = 0 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -69*w - 726 + 80 - 2540 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 6*a**2 + 4*a - 6. Suppose -2*b + 9 = b. Suppose b*f = 5 + 7. Calculate the lowest common multiple of f and i(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -603, -1212, -1823, -2436, -3051, -3668, -4287?\n\"Answer: -r**2 - 606*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 - 9*n**2 + 138*n + 144 = 0.\nAnswer: -8, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3000 - 3945 - 766 - 10453 - 826)*(r**4 + r**5 - r**4).\nAnswer: -18990*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 351621.08 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100001111001101100 + 11?\nAnswer: -11010100001111001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Let b be ((-12)\/(-18))\/((-1)\/(-19)). Let f = 272\/21 - b. Sort f, -4, o.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -13. Let j be (0 + (-2)\/2)*-5*-1. Put -4, j, i in ascending order.\nAnswer: i, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 675.4?\nAnswer: -2026.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/17)*y**(3\/2) assuming y is positive.\nAnswer: y**(49\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (5805\/18 + 14)*284\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51227 greater than -51236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {q: 2, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2240\/(-672))\/(20\/96)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -1414?\nAnswer: -9\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/18 - -30*(-6)\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186*w**3 - 3*w**2 - 10943 wrt w.\nAnswer: 558*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3457?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3678*c - 1827*c + 84*c - 3772*c + 6622 wrt c?\nAnswer: -9193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -25*a**6\/6 - 22*a**5 - 115*a**4\/4 + 70*a**3\/3 + 70*a**2 + 40*a + 41. Find i, given that u(i) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w\/w**(-4)*w**(-3)*(w\/(w*w**(-1\/7))*w)\/w)\/(w\/(w\/((w*w**(-1\/2)*w)\/w))*w\/w**(3\/5)*(w\/(w*w**(-3)))\/(w**3\/w*w)) assuming w is positive.\nAnswer: w**(87\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 3. Suppose -6*q - 12 = -2*q. What is the units digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -541, 0.1, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 - -12203?\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 5 in increasing order.\nAnswer: -20, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 130. Calculate the lowest common multiple of 15 and h.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51027, 102208, 153373, 204522, 255655, 306772, 357873?\n\"Answer: -8*t**2 + 51205*t - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 604 = 3*p + 427, 4*p = -2*h - 0*p - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2883116589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/77 - -1426\/385. Factor l + 2\/5*u**3 - 2*u**2 + 6\/5*u.\nAnswer: 2*(u - 3)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 10:40 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 43*z = 12. Calculate the smallest common multiple of 3 - (0 + -96 + z) and 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1464*b**3*g**2 - 129*b**3*g - 4*b**2*g - 2*g**2 wrt g.\nAnswer: 2928*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = -h, -24*h + 22*h = 5*o - 33. Let f = -22 + h. Solve -i = f*p - 3*p - 2, 3*p + i + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f - 3*f + 4*f**3 - 31*f + 240*f**2 - 208*f = 0.\nAnswer: -61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r + 29. Let a be z(10). What is the highest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 + 26*c**2 as y*c**2 + d + x*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by (120\/(-25))\/((-4)\/180).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 11*l - 5. Let j be t(7). Let p be (-6)\/j + (-40)\/(-22). Let o(x) = 9*x**2 + x. What is the units digit of o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02921786603949 and -0.8.\nAnswer: -0.77078213396051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p**2 + p - 4*p**2 + 3*p**2 + 0*p**2 + 4 - 2*p**2 - 4 + (-p + p + p)*(3*p - p - 4*p) + 2*p**2 + 2*p - 2*p - 3*p - 2*p**2 + 3*p)*(2 + 4*p - 2).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1216\/(-128))\/((-6)\/(-12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*b = 15, -b + 2521 = 3*j + 2510 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 126\/(-2)*(-5)\/3. Suppose h = 3*c - 0*c. Solve c = -3*o - 4*k, 0 = 2*o - 0*o - 5*k - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:12 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12019070 + 4?\nAnswer: -12019067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:59 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let c = 49.43 + -50. Let x = -0.07 - c. Put x, 4, m in decreasing order.\nAnswer: 4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248 and 124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*n**3 + 4 + n**2 + 12*n**3 - n**2 + (-4 + 4 + 2*n**2)*(4 - 2*n - 4) to p*n + w + a*n**3 + s*n**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6209 - -6249. Solve 0 = 5*w - 4*x - v, -5*w = -2*w - x - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 (base 16) in base 6?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -70. Let m be 1\/h + 30\/(-25). Let t = 13\/5 + -81\/35. Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 9*z**2 + 24*z - 82. Calculate h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/928093 and 32\/1416563.\nAnswer: 26914697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 5*l - 13, 5 = 5*l. Let m(s) = s**2 + 1. What is the units digit of m(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 + 5*h**2 - 3*h + 5. Suppose 0*l - 5*l - 4*t = 37, -4*l + 3*t - 11 = 0. Let s(k) = k**3 + k**2 - k + 1. Give l*s(x) + j(x).\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j = 35*j - 34 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4 + (-2 + 2 - 1)*(1 - 3 + 4) - 3 - 1 + 6)*(-4260 - 17*a + 4*a**2 + 4260) + 27*a**2 + 29 - 29.\nAnswer: 31*a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, c: 3}. What is prob of picking 3 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012010011202 + -110?\nAnswer: -10012010012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1946609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35827*t**3*u**3*w + t**3*u*w - t**3*u + 2*t**2*u**3 - 122*t*u**3 + 7*u wrt w.\nAnswer: 35827*t**3*u**3 + t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -11*r + 5*r. Let z = r + -29. Which is smaller: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2 - 30. Suppose i + 4*m = 4648, 0 = 4*m - 8*m - d. Suppose i + 1580 = 4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2 + (-108)\/(-52)). Let g = -50 + w. What is the derivative of 15*k**g + 1 + 0 + 7 wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83126.\nAnswer: 2, 89, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.1 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.991108 tonnes to nanograms.\nAnswer: 991108000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 4*i**2 + 4*i + 4. Let c = 17 - 22. Let m(g) = 2*g**3 - 5*g**2 + 5*g + 5. What is c*v(w) + 4*m(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 13718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.265 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -807.4616?\nAnswer: -137.268472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 + (-689)\/(-530). Let r = -0.2 - 0.3. What is the closest to f in 0.1, -4, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 12576?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 201380*u\/9 + 335650\/3.\nAnswer: -2*(u - 100695)*(u + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2234.46 - -2212. Let f = m - 0.54. Let q = f - -23.26. Round q to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1926636 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -19*v + 24*v, -f + 6 = 4*v. Let r be 6\/(v\/((-36)\/(-15))). Factor -r*o**2 - 3\/5*o**3 - 192\/5 - 144\/5*o.\nAnswer: -3*(o + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60386, -60337, -60288, -60239, -60190, -60141?\nAnswer: -60092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. What is the closest to -3 in -2\/3, -0.5, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by -5\nAnswer: -249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 0, 1\/13, -1700 in descending order.\nAnswer: 1\/13, 0, -0.1, -5, -1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(288) - ((sqrt(288) + 1 + sqrt(288))*1 + sqrt(288))))**2.\nAnswer: 1728*sqrt(2) + 41509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v. Let o(c) = 3431958*c**2. Determine k(o(q)).\nAnswer: -20591748*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3298049, -3298050, -3298051, -3298052, -3298053, -3298054?\n\"Answer: -h - 3298048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2)*x\/(x**(-9)*x))\/(x**0*x**1*x))**(-9) assuming x is positive.\nAnswer: x**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 3b7c2?\nAnswer: 3b7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9542, 9090, 8638, 8186, 7734?\nAnswer: 7282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256814.\nAnswer: 2, 3, 709469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -52233644898*d**3 - 417870452040*d**2 - 10342856*d - 64 = 0.\nAnswer: -8, -2\/161607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 6. Suppose 0 = -4*j - 4*b + y + 15, 5*b - 3 = j. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y. Let z(i) = i**2 - 9*i. Let x be z(9). Let d be t(x). Suppose d = 5*p - 20. What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 2. What is the remainder when q - (-2)\/(-8)*4 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 8. Let q = -26 + o. What is the tens digit of (-1304)\/(-20) - (-1)\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -60*d + 3*d + 43 + 2*d + 20*d + 11*d. Determine m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f - 75*f**3 - 2*f - 13*f wrt f.\nAnswer: -450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 - h + 1. Let p be c(2). Let a = -147 + 54. Let m = a - -91. What is the third biggest value in m, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*d**6 + 8*d**5*h + 2*d**2 - 4*d - h + 2 wrt d.\nAnswer: -14760*d**3 + 480*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 - 1\/24*i**4 - 2\/15*i**5 + 2\/3*i**3 + 2\/105*i**7 - 1\/336*i**8 + i**2 + 29*i + 1\/60*i**6. Let p(t) = 0. Calculate t.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(-7*b**3 + 6*b**3 + 8*b**3)*((1 - 4 + 1)*(3 - 1 - 3) + 2 + 1 - 5 + 1 + 0 + 1) to s*b**2 + n + h*b**3 + q*b and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-25)*n*n**14*(n\/n**(4\/3))**(7\/10))**6 assuming n is positive.\nAnswer: n**(-277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -224?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -4) + (-2 + 2 + -6 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104020, 104075, 104128, 104179, 104228, 104275, 104320?\n\"Answer: -d**2 + 58*d + 103963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 43435 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p - 108. Calculate z(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 4 + 4 + 4*k**2 - 17*k**2 - 5*k**2 + k**2 + 0*k + 0*k + (k - 2*k + 2*k)*(-2*k + 0 + 0).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49552667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -2.016.\nAnswer: 0.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449660167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3\/2, -0.2, -0.03, -15, 51?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 255557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:43 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -5, -4\/9, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**7\/21 + 2*a**6\/15 - a**4\/3 + a**3\/3 - 103*a. Solve s(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, 2, 5, -1245, -5.\nAnswer: -1245, -5, -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/(1*(-9)\/27).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.057 + -16.943. Let d = u + 16.78. What is d rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1428\/336)\/((-3)\/14*(-770)\/(-220))*1.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15 = -5*p. Let o = 90 - 89.991. Let v = -4.009 + o. What is the nearest to 1 in v, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10332290238 by -6.\nAnswer: -1722048373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/20 - j**4\/4 + j**3\/2 + 10*j**2. Let v(o) = 3*o**2 - 5*o + 2. Let u(k) = -5*d(k) + 6*v(k). Find p, given that u(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let z = 79 - 69. Solve 0 = r*b - k - 3*k + z, -b = -4*k + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/5 - 6*b**3\/5 + 12*b**2\/5 + 16*b\/5 = 0?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4\/(-18) + (-20)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74964 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 15*l - 4*l - 22. Factor -3\/4 + 3\/8*s + 9\/8*s**l.\nAnswer: 3*(s + 1)*(3*s - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2579*x**2 - 326*x + 1657. List the prime factors of y(5).\nAnswer: 2, 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44994882 is divided by 29680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, -38, 355, -5, -2, 2 in increasing order.\nAnswer: -38, -5, -4, -2, 2, 13, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**2 - 22*f**2 - 69*f**2 + 17*f**2 - 4*f to b*f + d + l*f**2 and give l.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20 = -2*u, -10*n + u + 2265 = 2254 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22331 is divided by 194?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -v - 5 + 13, -2*v - 3*f = -5. Sort 7, v, 3 in descending order.\nAnswer: 7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, -2, 1, 5.\nAnswer: -301, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/18 - (12 - (-580)\/(-45)). Let b = -5.2 + 6. Let y = b - -0.2. What is the nearest to y in 2\/5, t, 15\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x + 10. Calculate the remainder when n(5) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - 2*sqrt(1700))*1)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316339 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -24. What is the closest to u in 1\/3, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 40*g - 13. Let c be u(4). Let s = -159 + 59. Let t = s + c. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3439 = -9*x + 4049. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50063338?\nAnswer: 2, 13, 29, 67, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + l**2)*(2*l**2 + 9 - 56*l + 56*l).\nAnswer: 2*l**4 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 16 = 2*s. Let h(x) = -4*x - 16. Let m be h(s). Solve m = 2*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22113 greater than or equal to 22112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 646957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwqwwswwqsq. Give prob of sequence sw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*f*z + 466688*d**3*f + 121*d**2*f*z - 2*d**2*z + 6*d**2 - 5*d*f*z + 2*d*z + 51*f wrt d?\nAnswer: -42*f*z + 2800128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 13*u**2 + 34*u - 2. Let b be m(-12). What is the units digit of (b\/(-1))\/2 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*n + 72, -m - 62*n = -60*n - 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {y: 4, j: 1, e: 5, k: 1, v: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -187513 and -187511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5944583\/127689 + 1157\/1373. Let m = s + -142\/3. Which is the closest to 2? (a) 3 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638 is divided by 438.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(119) - (sqrt(119) - -2*sqrt(119)) - sqrt(119))*-4)\/(sqrt(224)\/sqrt(2)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:21 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 2. Let q(p) = 5*p**2 - 2*p - 2. Let v be q(1). Let b(w) = 3*w - 2. Let s(u) = 39*u - 24. Let k(r) = v*s(r) - 12*b(r). What is k(x(o))?\nAnswer: -6*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13023 + -1132?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 - 3*o - 2. Let n(a) = -14*a**2 - 9*a - 7. Let p(h) = 6*n(h) - 17*u(h). What is the remainder when p(-6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4d83a (base 14) to base 4\nAnswer: -232213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**3 - 12*v**3 + 593*v**2 - 523*v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*p - 48*p - 51*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51.6 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 46. Let q be n(18). Let d = 85 - q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85814459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -1413 (c) 0.4 (d) 3354\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 1, 36, -162.\nAnswer: -162, -14, 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393809 is divided by 5503.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -22, -57, -100, -145, -186?\n\"Answer: h**3 - 13*h**2 + 11*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285124290.\nAnswer: 2, 3, 5, 11, 864013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.009. Let t = -0.439 + m. Let h = t - -0.411. What is h rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o = -0*o, 4*c - 4*o = 12. Suppose -c*w - 3 - 9 = 0. Is 13 a factor of (-3)\/w - 394\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -2102667.\nAnswer: -2102667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 2*d**2 + 5*d**2)*(933*d + 5603*d + 270*d + 9405*d - 1788*d).\nAnswer: -14423*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (138138\/(-529))\/13 - -20. What is the third biggest value in -0.39, 1, w?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 645? (a) -970 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-3)*(-4)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9*3\/9*2\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 158168*z - 3956700.\nAnswer: 4*(z - 25)*(z + 39567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 45. What is the closest to -3 in q, -0.4, 1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7638084 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71701\/3 + 24623. Let l = p - 731. Let z = l + 8. Which is the smallest value? (a) -4\/5 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + -12 + 7)*9391\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1448436080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 - 3*j. Let w be s(3). Suppose w = -6*y - 47 + 155. What is the least common multiple of -6*-2*8\/6 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106602 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 - 3*x - 3. Let o be w(-2). Let a = -1 - 0. Let f = o - a. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9225 and 451?\nAnswer: 101475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 389*g**2*u**2 + 4*g**2 + 38*g - 2*u wrt u?\nAnswer: 778*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -20.872?\nAnswer: -0.20872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (-5112)\/72) + -55\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 28 = 2*j. Let i = -36 + -14. Let q be i\/15*(-6)\/(-4). What is the nearest to j in -0.4, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 2:22 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1118*h - 3744. Let u(j) = 32*j + 108. Let l(t) = -104*u(t) - 3*x(t). Let k(f) = 76*f**2. Calculate k(l(g)).\nAnswer: 51376*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 15. Let l = -18 - y. Suppose -12 = m - 33. Calculate the highest common divisor of m and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -6 - 31746\/(-4554))\/(84\/(-126))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 17*k**2. Suppose 0 = -4*h - 3*a + 4, 4*a = -6*h + h + 5. What is m(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four sevenths of a week in hours?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9971 - 9969. Solve 2*c = 2*s - a, -5*c = 4*s - 0*c - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6117 is divided by 371.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-36)\/(-8). Suppose c - o*c = -6. Calculate the greatest common factor of c and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*x**3 - 595*x - 32*x**3 + 595*x + 105*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, t: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/4 - 3*k**2\/2 + 224*k. Let m(u) = -3*u**2 + 4. What is -6*m(g) - 7*q(g)?\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**7\/105 - x**6\/60 + x**5\/5 + x**4\/3 - 8*x**3\/3 + 246*x**2. Factor a(g).\nAnswer: -2*(g - 2)*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 4) in base 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:01 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9539496 divided by -1.\nAnswer: -9539496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 105. What is the remainder when 181 is divided by p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.6 + 54. Let h = p + -26. Let u = 26 - 184\/7. What is the closest to h in u, 0.3, 5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.91 - -48. Let y = 4 - 3.99. Let p = y + w. Which is the nearest to 2\/3? (a) -1\/3 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 2 - 2. Suppose -2*y - 6 = 0, -4*u = y + 3 + 4. Let q be u*(-2)\/4 - (-81)\/162. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + w**3 + 41*w**2 + 3)*(220 + 125 + 312) to the form q*w**3 + x*w + y*w**2 + v and give q.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 2b?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 36. Suppose -d - 4*i - m = 0, -61 = 5*d - 3*i + 30. Let r = d - -30. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99400 = -39*b + 49*b. Let h = 24375 + b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228611 - 169446 = -4120*z - 151062 + 329805 for z.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -905.9 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1788 + 5614. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*d = 5 - 1, -3*f + 5 = -d. Sort f, -0.03, 0.3.\nAnswer: -0.03, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21995369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*s**4 - 1108*s**3 - 38628*s**2 - 17388*s + 57132 = 0. Calculate s.\nAnswer: -69, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-14))\/(2\/(-24)). Is 3 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 - l**4\/3 - 11*l**3\/6 + 13*l**2. Let r be d(-4). Suppose 0 = 2*v, 0 = r*c + 3*v + 6 - 36. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - ((-4 + 32 - 42) + 23).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 2, a: 9}. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:13 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 39356*m\/5 + 314976\/5.\nAnswer: -2*(m - 8)*(m + 19686)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787019.\nAnswer: 127, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (24 + 5 - 11) + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:46 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 25*s**2 - 21089*s - 84022. What is w(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3089 + -3084.08. Let q = 0.05693 - -5.26507. Let a = r - q. What is a rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007555107384 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0 - 4\/3*m**3 - 1\/2*m**2 - 2*m. Differentiate o(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/5 + 1041447*n\/5 + 416578 = 0.\nAnswer: -1041445, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1112128*o**3 - 70*o + 1112127*o**3 - 917*o**2 + 374*o**2 - 1693*o**2 wrt o?\nAnswer: -6*o - 4472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107178 is divided by 690.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 56*s + 4*s**2 + 1 + 47*s - 108*s. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -642019, -641903, -641787, -641671, -641555?\nAnswer: -641439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 9. Let f be (8\/20)\/((-2)\/(-30)). Let a be m(f). Suppose -p = a*l - 0 - 69, -4*p = l - 12. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxa when three letters picked without replacement from ousnxuaaaxuuu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2525869 is divided by 10104?\nAnswer: 9973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4219 and -3.\nAnswer: -12657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/42 of a week in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 24 = -22*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.5. Let t = 11 + -11.1. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 3. Let l(x) = x - 3. Let a(o) = 4*l(o) + 3*s(o). Let u be a(6). Differentiate -2*c**u - 5 + 3 + 0*c**3 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 2125033?\nAnswer: -212503a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103 and 1996969466?\nAnswer: 1996969569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 + 3*o + 2. Let p be m(3). Suppose k = -5*f - 1, 2*k = -p*f + 7 + 23. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2001 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 808*s - 38 = -807*s, 5*p - 3*s = 3*s - 71 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n**2 - 5*n - 99. List the prime factors of l(-13).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000284793149 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by (1 - -2)*5\/6 + (-101346)\/(-1524)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 14. Let n be (-121)\/7 - (-20)\/70. What is the remainder when 6 is divided by a(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = c - 29, 4*c - 3 = 2*c + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 minus 31197.632?\nAnswer: -31303.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 3*a + 4*a + 3*a. Let u(t) = 5*t. Calculate i(u(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3510705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2482 - -12457\/5. Let y be 198\/10 - (-1)\/5. Calculate the common denominator of s and (16\/(-22))\/(4\/y).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c + 21*c + c - 7*c to q*c + p and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -3*v**4\/32 + 3*v**3\/4 - 27*v**2\/16 + 3*v\/2 - 46. Solve z(n) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4861\/11 + -441. What is the common denominator of 109\/6 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*2)\/sqrt(12))\/((sqrt(20) - sqrt(5))*4) + -2.\nAnswer: -2 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 + 15 = -3*x, -5*l = -x - 43. Let s(a) = a + 35. What are the prime factors of s(l)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360673?\nAnswer: 29, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3325 and 1817179.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000097 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 16 - 7)*(31*z**4 + z**2 + 36*z**3 - 36*z**3).\nAnswer: 620*z**4 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -27*s - 2. Let k be i(-1). Let c = k - 21. Suppose -c*p + 5*p - 4 = -d, 2*d = p + 2. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzc when three letters picked without replacement from zlmcnblbnlnl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52 times 0.090745\nAnswer: 4.71874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 6*h + 2*h**2 - 2*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176\/85 - 33\/34. Let w = l - 13\/5. Which is the biggest value? (a) w (b) -0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:22 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/20592)\/(2\/(-44))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u**3 + 5*u - 5*u)*(4 + 6 + 4) + u - 2*u**3 - u.\nAnswer: 166*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2\/5, -0.01, -4, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/102)\/(150\/240).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + 1 - 138. Let d be -1 - (137 - -2) - (4 - 2 - 5). Is o at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Suppose 0 = -3*y + 2*v + 8, -16 = -0*y - 2*y - 4*v. Let m(q) = -4 + y + 0 - q. Calculate t(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -10000101?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114649 = -17*n + 113833 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 553214584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.48 + -0.12. Let r = w - 0.4. Let u = -11 + 15. Which is the second smallest value? (a) u (b) r (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b + 1 - b + 2*b. Let s(k) = -8*k - 12. Let v(d) = -12*n(d) - s(d). Let z(l) = 2*l. What is v(z(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981687141, 981687137, 981687131, 981687123, 981687113, 981687101?\nAnswer: 981687087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (582\/(-120) + 4))*(-2)\/(-39). Which is the second biggest value? (a) 0 (b) -4\/5 (c) y (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3 + (3 - 5 + 3)*(-4 + 1 + 2) + 102555 - 60188 - 76804)*(-2 + 2*f**4 + 2) as s*f + m*f**4 + r*f**3 + x + n*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + 294*c + 273*c - 572*c - 2*c**3 + c**3.\nAnswer: -c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 10) to base 6\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13738, -26720, -48358, -78652, -117602, -165208, -221470?\n\"Answer: -4328*i**2 + 2*i - 9412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53408 and 1024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 1\/(-1) - -4. Let v(k) = l*k + 4*k + k. Let q(a) be the second derivative of a**3\/6 + 2*a. Give v(q(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -6*f - 160. Suppose -1119 - 1306 = -f*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose -n*w + 4*j + 241 = -2*w, 0 = -4*w + 4*j + 316. What is the greatest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6583187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 32 - 86*n**2 + 23 + 26 + 22 - 96 in the form g*n**2 + r + l*n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 1. Let t be l(-1). Suppose 14 + 24 = 3*c + r, 0 = 2*c - t*r - 14. Let m = 6 + -2. What is the lowest common multiple of c and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1186613 - 1.4.\nAnswer: -1.5186613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from bxddixoioaxb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 3*k - 5. Suppose -21*d + 26*d - 23 = -4*t, 2*t = 3*d - 27. Calculate a(d).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7655*-1810\nAnswer: 1385.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from bwwwwwwwbbwbwwwbbbw?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-656)\/(-5))\/((-3)\/(-15)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9122 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 3*o - 10. Let y(t) = -4*t**2 + 3*t - 8. Give 4*x(z) - 5*y(z).\nAnswer: 4*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13118 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -5*h - 67. Let d = h - -16. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 - y**4\/4 - y**3\/2 - 6*y**2. Let d be (1 + 1)\/((-4)\/10). Calculate z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(1323\/18))\/((12\/8)\/((-21)\/398))\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89243 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1202.98346 - -1203. Round p to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -1.5. Let a be 2*(3*-1)\/6. What is the nearest to a in 5, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and -22.12.\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose 0 = d*p - 4*p + 4. Let a be 0\/8 - (-2 + 4). Sort 2, p, a in decreasing order.\nAnswer: p, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 13, e: 2, g: 2}. Give prob of sequence zve.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -342800 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48892.\nAnswer: 2, 17, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/(-53248)*13)\/(3\/12). Suppose 2*s = -z + 5*s + 1, -5*z + 24 = 4*s. Let y be 2\/z*0\/(-2). Is y less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 78, 4, -65, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let o(p) = -25*p**2 + 34*p**2 - 24*p + 9 + 15. Let s(u) = 2*u**2 - 5*u + 5. Let r(l) = 5*o(l) - 24*s(l). Calculate a(r(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 4, -1\/3, -110849?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/25 + 44\/10. Suppose -4*d = -2*d - w. Solve 0 = d*o - 4 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*j + 69936 = 282*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93380189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56175 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*r + 3*f = -214*r - 10, 0 = r - 5*f - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lallbalnabballbbaln. What is prob of picking 1 n and 2 a?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 6. Suppose -4*d + 5*t = -9, 0 = -d + 3*t + 6 - 2. Let z(u) = -1. Let b = -8 + 11. Give b*z(o) + d*g(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 328*l\/3 + 664\/3.\nAnswer: -2*(l - 2)*(l + 166)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(6\/32)*2. Let m be (v\/(-6))\/(-4)*-3. Let z = m + 29. Solve -2*n + z = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5974.15664 to the nearest integer.\nAnswer: 5974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 765879520*s**3 - 39104762355068850*s**2 - 665545236546558190041000*s + 665545275651321310989375.\nAnswer: -5*(s - 1)*(s + 51058635)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 199\/2182?\nAnswer: 199\/2182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from mjwcjkkkkckccjwk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 76. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4018302 rounded to 3 dps?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c = -5, 3*r - 5*c = 95. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12595b - 5?\nAnswer: -125963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1870 - -30581?\nAnswer: 27611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/5 + 1979*g\/5 = 0.\nAnswer: -1979, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 174 = -5*z - 2*i, -3*z + 4*i - 98 = 0. Let g = z - -62. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/13 - 470*l**3\/13 + 25388*l**2\/13 - 311872*l\/13 + 1118976\/13 = 0 for l.\nAnswer: -282, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181079 (base 14) in base 16?\nAnswer: 7fd4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urwr when four letters picked without replacement from uurrwuwurwrrwrwr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 3, x: 1, f: 5, i: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*l = -206*l - 6*u + 77, -2*l = u - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 36*u + 83. Let q be v(34). Let b(y) = -y**2 - 6*y - 5. Let w be b(-5). Find the second derivative of q*d**2 + 16*d + w - 43*d**2 + 0 wrt d.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 17. Let x be (-1)\/3*(-84)\/4. Let g be f(x). Solve -2*y - 12 = -3*b + 3*y, 5*y + g = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 390*i**2 - 1063 + 8*i - 392*i**2 + 0*i**4 - 12*i to k*i**3 + f + m*i**2 + y*i + a*i**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -837.33 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.932 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -77. Let y = 14 - f. Let v(t) = 6*t**3 + t**2. Calculate v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -250, 5, 85 in ascending order.\nAnswer: -250, -3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let h(a) be the third derivative of a**5\/20 + 17*a**4\/12 + a**2 - 18*a. Determine c(h(f)).\nAnswer: -6*f**2 - 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107 divided by -2?\nAnswer: 1107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.11065 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 30 - 105)*(-2 + 1 - 1)*(-1 - v + 1).\nAnswer: -342*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2043 = -182*v - 14978 + 1105 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 20*w - 21*w. Is (-27076)\/w + 12\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 5. Let p be i(3). Suppose 4*t = g + 12 + 19, -7 = p*t - 5*g. Let k = -1 + 6. What is the least common multiple of k and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 16 = 2*f, 0*f + 4*f - 10 = -5*x. Let h(d) be the first derivative of -2*d**3 - 7*d**2\/2 - d + 65. Let m be h(x). Does m = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 8*j + 15. Let h be x(5). Let q(f) = 8*f - 31. Let m be q(h). Solve -m = 2*y - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c*c**(-1\/13)*c**19*c**(-10\/3) assuming c is positive.\nAnswer: c**(296\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067507806 rounded to 6 decimal places?\nAnswer: 0.006751","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4 + 0 - 0. Let f(u) = 198*u**3 - 5*u**2 - 6*u - 1. Let d be f(-1). Let y be 2\/(-8)*d\/(-66). Sort x, -2, y, -1\/8.\nAnswer: -2, y, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32 - 2)\/(3\/56). Suppose -2*h = 3*s - 4*h - o, 3*h - 382 = -2*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 + 6*n - 4. Let a(w) = w**3 - 4*w**2 + 5*w - 3. Let x(p) = 3*a(p) - 2*b(p). Let r be 22*(14\/4)\/(-7). Let d = r + 15. Give x(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21601*1.\nAnswer: 21601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2) + 0)*-4 + sqrt(50)*1 + sqrt(2) - (sqrt(40)*1)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 7, -78, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 237314025*t**2\/4 - 15405*t + 1.\nAnswer: (15405*t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 49*g**2 - 3*g - 3. Calculate the remainder when t(-1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1156*m = 1154*m - 2, -u = 5*m + 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15.7+-2.601\nAnswer: 13.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlzllltt. Give prob of picking 1 l and 1 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 2*b - 3, 5*b = -3*g - 5. Solve g = 4*w - 0*n - 4*n + 24, -3*w - 13 = -2*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82463, 82522, 82619, 82754, 82927, 83138?\nAnswer: 83387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 4*l + 4*j + 4, 2*l = -6*j + 2*j - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (256 + -260 + (-1 - -18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19153 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.5 - -134.\nAnswer: 125.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 28 - 73 = 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96\/35 + -22\/7. What is the closest to -2\/5 in 1\/4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728901.\nAnswer: 7, 97, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - 24?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - (-350)\/126. Suppose 4*d - 1 = x*d. Solve -p + 3 = d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 16. Let z be n(-6). Suppose s - 544 = -o, -s = 5*o - z*s - 2744. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045*n - 5214 = 1034*n. Let m be (-79)\/n + 10\/12. Factor 7\/3*v + 2\/3 - m*v**2 - 7\/3*v**3.\nAnswer: -(v - 1)*(v + 1)*(7*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 186*g**2 + 92*g**2 + 94*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 3*a + 497*a**2 - 80 + 42 + 0*a + 4*a as j + w*a + q*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -62*5\/10*-1. Let n = 26 - m. List the prime factors of (2 - n)\/((-2)\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrsrshhhhhhshrss. Give prob of sequence rrr.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:10 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -202164, -404327, -606490, -808653, -1010816?\n\"Answer: -202163*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 22 = 16*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from qxqhqxqqqqqqqxh.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 17. Does 7 divide u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54720 times 41\nAnswer: 2243520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -65 (b) 23 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + (-12 - -18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) -2\/11 (c) -1\/5 (d) -889683 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*t + 147 = -707*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 2\/17 (c) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*m**2 - 87*m.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-7 + 3)\/4. Let k = -1 - n. Let f be 52\/12*(-3)\/2. Are k and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288)*-1 + sqrt(288)))\/sqrt(6))**2*-6.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 794*d + 5 + 586*d - 5 + 511*d as o*d + z and give o.\nAnswer: 1891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d = 4*d + 18*d - 460 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = j + 11, -9*a + 12*a + j = 7. Let t = 0 - -6. Calculate the least common multiple of t and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -317, -1059, -2479, -4793, -8217?\n\"Answer: -36*y**3 - 15*y**2 + 17*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 - 3*g + 2. Let h(d) = d**2 - 3*d - 2. Let y be h(4). Let z be c(y). Let v = -21 - z. Solve -x - 2*x = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59d6 (base 15) to base 13\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-9)*300\/112. Let c = j + -1\/21. Factor 3\/4*l**3 - 1\/4*l**2 - c*l**4 - 3\/4*l + 1\/2.\nAnswer: -(l - 2)*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -6\/7 (c) 1.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g + 10. Let w be -2*(253\/(-22) + 10). Let k(a) = a - 1. Determine w*f(z) + 30*k(z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/667)\/(36\/(-261)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 + 18*j + 5. Let x(c) = 13*c**2 + 27*c + 7. Give 7*d(f) - 5*x(f).\nAnswer: -2*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25219 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**4 + 0*y + 0*y**3 - 2*y**2 + 0 + 1\/15*y**5. Let h(z) = -2*z**2. What is i(h(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.066 - 0.766. Let l = q - -0.699764. Round l to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(539) + -1 + 4 + 3 + -6*(sqrt(539) + 0)*-4))**2.\nAnswer: -16171728 - 100800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931782?\nAnswer: 2, 3, 11, 13, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. Which is the second smallest value? (a) -3 (b) 14 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfkfpkkkmppmhplkhphf. What is prob of picking 1 h and 1 m?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t + 137 + 239 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 4, 20, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.143 and -0.02.\nAnswer: 0.00286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 2 + 3 - 11*l + 0*l + 1. Calculate x(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Suppose 0*l + l + 3*t = -6, -4*t = -5*l + 46. Let a(g) = g + 18. Let p(k) = l*b(k) + a(k). What is the derivative of p(m) wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {y: 1, f: 1, q: 2, n: 2, t: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10922409*d**5 - 2716125*d**2 - 1?\nAnswer: -655344540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/4 - 7*c**3\/3 - 3*c**2 - 7*c - 23. Let j be m(8). What is the highest common divisor of j and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - 22*m**3 + 11*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.62 + 58. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 19*j**3 - 40 + j - 22*j**3 as y*j + k*j**3 + q + x*j**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(192) - (1*sqrt(192) + sqrt(192))) + 0.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3436 divided by -24168.\nAnswer: 859\/6042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3368748, 3368737, 3368718, 3368691, 3368656, 3368613?\n\"Answer: -4*g**2 + g + 3368751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -4.03. Let i be (-1967)\/(-8) - (-17)\/136. Let o = i - 2212\/9. What is the nearest to 0.4 in o, x, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)*a**(9\/7) assuming a is positive.\nAnswer: a**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110808 is divided by 141.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107 by -456639.\nAnswer: 107\/456639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421807941, 421807939, 421807937?\nAnswer: 421807935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 3. Let u be k(4). Suppose 5*i = -0*i + u. Factor -g**4 - g**4 - 2*g**i + 0*g**2 + 2*g**2 + 2*g**5.\nAnswer: 2*g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744339 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 51398315 = 12001685. Round a to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1105.2.\nAnswer: 1102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*d + 2*q + 6, -d = 4*q - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4667, 9045, 13423?\nAnswer: 17801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29630 - 13249. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13861, -1646, 31519, 96110, 202603, 361474?\nAnswer: 583199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-54))\/((-12)\/18)*-1. Which is the closest to -2\/7? (a) -8 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360293317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837775 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8700641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85923 + 233378. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/120)\/(4 + 87\/(-15)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10517 is divided by 368.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -33, -5, -336, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 4*y + 5. Let i be w(1). Let q = -52.9 - -51. What is the closest to i in 0, -0.3, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12279.\nAnswer: 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(560))\/(3*sqrt(252))*-4.\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 8*k = 504. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703607 is divided by 175849?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 3. Let t be f(-5). Let x be (-6)\/(-4) + 5\/t. Solve 0*u = -3*u - x*q + 15, 5*q = -5*u + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -a?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-32)*a*a**38)\/(a**(1\/63)*(a*a**(3\/2))\/a) assuming a is positive.\nAnswer: a**(691\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, 1 r, and 1 o when four letters picked without replacement from {r: 3, t: 2, n: 3, v: 1, u: 2, o: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 805, 1209?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*z = 5, -330*p - 40*z - 654 = -38*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. Let s be (-1)\/o - (-19)\/4. Let y(j) = -j + 7. What is y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4017 + 6973 = -178*t - 6983 - 2699 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(3\/2)*j*j)\/j)\/((j**0\/j)\/j))**(-29) assuming j is positive.\nAnswer: j**(-261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.199\nAnswer: -0.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/50? (a) 133 (b) 1\/5 (c) -2 (d) 3\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/7 - 1749*b\/7 - 1742 = 0. What is b?\nAnswer: -1742, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 + 5*r + 1. Let x be g(-7). Let o = x + 8. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/2 + (-4)\/(-8). Suppose f*k = 3 + 5. Solve -k*u + 5 = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i - 105. Is z(-31) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 1 + 31, 64 = -3335*p + 3339*p - 4*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let k(g) = -1295*g. What is s(k(r))?\nAnswer: 2590*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 7*x - 1. Let l(u) = -2 + 3*u + 47*u**2 + 7*u + 35*u**2 - 115*u**2 + 43*u**2. Determine 7*h(g) - 5*l(g).\nAnswer: -g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:47 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7144150 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 - 9*b + 10. Let d be f(-5). Are 29 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 139 - 259 - 8*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 430?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -63*u + 455. Let h be q(7). Let w = 3 - 2. Suppose 0 = -2*j - 5*z - w, -j + 4*z + 3 = -3. Solve -j*f = 4*m - h, -3*f - 34 = m - 6*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 36, 35, 34, 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 279380 + 2960628 = 4*l, -o + 1080010 = 5*l. Suppose 3*j + o = -9*j. Round j to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 68 = 0. Suppose 7*w = 5*w + 12. What is the remainder when f is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:24 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5667 divided by 5667\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 41\/59?\nAnswer: 41\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = -j - 0, -3*o - 3*j = 0. Let r be 2*o*(-1 + 2). Suppose r*i - 12 - 232 = 0. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = z + 2*d, 0 = -2*z - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(3\/16)*l*l**3*l**(2\/31)*l\/l**(-2\/41) assuming l is positive.\nAnswer: l**(128133\/20336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1408\/3)\/11*11*3\/44?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z**2 - 17*z**2 - 2000 - 17*z**2 + 47*z**2 - 200*z = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, b: 5}. What is prob of sequence bbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4))\/x)\/(x**(-2)\/x*x*x))\/(x**(2\/7))**17 assuming x is positive.\nAnswer: x**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1098174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0*n - 4\/7*n**5 + 4832\/7*n**2 + 0 - 9668\/7*n**3 + 4840\/7*n**4 = 0.\nAnswer: 0, 1, 1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + -2*(-60)\/32. Let k be ((-3)\/6)\/(o\/(-8)). Let y be (-1 - 0)\/(0 - k). Solve -4*b - 15 - y = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*y - 32, -5*j = -23 + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12228838*q**2*s*u**3 + 5*q*s*u**2 - q*u**3 + q*u - 35757 wrt q?\nAnswer: -24457676*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*m = 12, 22 = j - 4*m - 2. Solve -1 = j*o + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a + 3. Let s be p(12). Let j = s + 32. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 + y + 7. Let w be 0 + 1 + 0 - -5. Determine x(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005361 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 16*i**2 - 2*i - 10. Does 22 divide f(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 67379416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(1980))\/sqrt(11))**2 - (sqrt(605)*-1 + sqrt(15)\/sqrt(3)*-2)*3.\nAnswer: -141*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37950 (base 10) to base 12.\nAnswer: -19b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 539353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -24.372906?\nAnswer: 2.4372906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 0.5 (d) -41604743\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-75))\/(((-48)\/20)\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56a24 (base 11) in base 7?\nAnswer: -462212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -38, -10, 38, 112?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose 34 = 4*t - 3*y, 5*t - 4*t + 4*y - 18 = 0. Let o be ((-1)\/(-9 - -13))\/(t\/(-104)). Which is bigger: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3 + 0*d**5 + 363*d**2 - 4*d**5 - 459*d**2 wrt d.\nAnswer: -240*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + -1*sqrt(325) + 5 + (-5 + 1 + sqrt(325) - (sqrt(325) - (-3*sqrt(325)*-2 + sqrt(325)))))*5)**2.\nAnswer: 3000*sqrt(13) + 292597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 - 133714*w**2\/3 - 29708*w + 356560\/3 = 0.\nAnswer: -22285, -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)*j*j**(1\/4)*j*((j*j**(-3\/4))\/j)**(3\/14) assuming j is positive.\nAnswer: j**(-835\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 141636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = -2*r + 6, -r = -3*i + 2. Let k be 10\/3 - (r + 1). Put -0.5, k, -1 in increasing order.\nAnswer: -1, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50693738311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -11*j**8\/168 + 19*j**4\/24 + 20*j**2. What is the second derivative of v(k) wrt k?\nAnswer: -440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 - 19. Let q(p) = -3*p**2 + 6. Let z(s) = 7*q(s) + 2*t(s). Differentiate z(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4327 + 4327 - 1094*d**3.\nAnswer: -1094*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 384763 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -93, -16\/81, 0.33?\nAnswer: -16\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697 = -1223*y + 1182*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 159, 234, 307, 378, 447, 514?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21650*s**4 - 203*s**2 - 202*s.\nAnswer: -519600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28785, 115122, 259021, 460488, 719529, 1036150?\n\"Answer: v**3 + 28775*v**2 + 5*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 + 1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 66 = -12*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - q**3 + q**3 + (0*q**4 + q**4 - 3*q**4)*(0*q - q - q) + (-2*q**2 - 2*q**2 + 5*q**2)*(-3*q**3 - 2*q**3 + 2*q**3).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:32 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f - 5*a + 10 = 0, -2*f - 5 = -3*a. Let t = -12 + 14. Suppose t*x - 82 = -3*s + s, f*x - 94 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9600 + -1 + 10)*(-2)\/(-2).\nAnswer: 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 10648*d**4 + 6776*d**3 + 1617*d**2 + 343*d\/2 - 1259. Factor n(h).\nAnswer: (44*h + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 67*v + 68 - 71 - 66*v. Calculate m(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:07 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:51 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + 384?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 6) in base 5?\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 - 5*b + 3*b + 2 + 3*b. Let r be j(-1). Solve -i - 2 - 3 = r, -v = 3*i + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:05 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 24 = -94. Sort o, 17, -4, 0 in increasing order.\nAnswer: -4, o, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.5, -840992?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5642 and 3038.\nAnswer: 39494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/((-273)\/(-21)))\/((-9)\/(-48)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2 - 72*y + 9. Let d(l) = -3*l**2 - 32*l + 4. Let c(s) = -9*d(s) + 4*n(s). Let f(r) = -1322*r. Determine c(f(g)).\nAnswer: -1747684*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 84*p + 1247. Give w(-63).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48101 and 60243?\nAnswer: 6205029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a - -1a71913?\nAnswer: 1a71962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200801 is divided by 3228.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8540 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i = 39*i - 40*i + 492. Let h(s) = 13*s. Let b(d) = -455*d. Let m(a) = 3*b(a) + 104*h(a). Let k(j) = 4*j. Calculate i*k(t) + 4*m(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = -33. Let v = -10 - n. Let o be 1 + -1 - (v - 2). Which is smaller: o or 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17401253399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -735342*c**2 + 99350*c?\nAnswer: -1470684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 912 and 2.72161.\nAnswer: 2482.10832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)\/((i*i**6*i)\/i))\/(((i*i\/(i\/i**3))\/i*i)\/((i*i**(-1))\/i)))\/(((i\/(i**(1\/3)*i)*i)\/i)\/i**6)**(6\/13) assuming i is positive.\nAnswer: i**(-380\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.8999672 + 61.9. Round l to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 10. Let i be k(4). Let m = i + 37. Let f = m + 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*w + 415 = 0, 2*w + 3*w + 199 = 2*q. Let u = q - 88. What is the tens digit of (4 - -85) + (u - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9)*(99\/(-6))\/(-11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-456)\/40 + 12)*(-2)\/3. What is the closest to i in -4, 1, 9\/8, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.363303 rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15232*x + 5071*x + 5067*x + 5079*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 7*f - 12. Let v be s(-9). Solve 0 = -2*n - 2*b + v, -n = -2*n + 5*b - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 3*g + 12. Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4.9, -0.4, 1.1, -1, 0.9 in increasing order.\nAnswer: -9, -1, -0.4, 0.9, 1.1, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036418725.\nAnswer: 5, 41456749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - (109\/(-12) - -9). Which is the second smallest value? (a) -2\/11 (b) -21 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13860.3 - 13861. Let r be 8\/126 - (-4)\/(-14). Which is the nearest to -1? (a) r (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -340879420 and -340879420 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715352 is divided by 370?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -464077 - -464095.00054. Let m = r - 18. What is m rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeqeeqqee. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -5. Let f(m) = 3*m + 3. Let x = 16 + -17. Let v be f(x). Which is the closest to v? (a) 1\/2 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 13. Let l = 327 + -321. Suppose -u - 5*t + 10 = -l*t, 3*t + 50 = 5*u. Determine w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**3 - 5*p**2 + 4*p - 7. What is the tens digit of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 173831*y**2 + 52 + 57.\nAnswer: -173831*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1831 and -54007.\nAnswer: 9888.6817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(48\/(-57))*160\/80\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9393 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*l + 40. Put -4\/3, 4, l in descending order.\nAnswer: 4, -4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n**2 + 9 + 11 - 4*n**3 - 96*n + 25 - 6 + 25.\nAnswer: -4*(n - 4)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*f - 37, 0 = 3*g + f + 3 + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.07 (b) -3 (c) -0.62 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.99772l?\nAnswer: 77997.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/(3\/(-9)). Suppose -h - 10 = r*h. Which is the third biggest value? (a) -0.4 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5074 - 25377\/5. Let z = -1.4 + 1. Let f = 3.05 + -0.05. What is the smallest value in f, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 + 440*z + 440. Determine k(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/23 or -1935?\nAnswer: -1935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/(-20) - 1\/(-4))*-5. Let a(j) = -4 + 1 - 2886*j**2 + 2892*j**o + 2*j - j**3 - 5. Calculate a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.9. Let h = 0.6 - 3.1. Let s = 3 + h. Which is the closest to 1? (a) 1\/3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g + 624 = 199*g - 118*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13467977\/253 - 53233. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let x = -18.5734 - 0.4266. What is the fourth biggest value in 4, x, 2\/7, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 + 2*m + 2. Determine t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 23*z = -4260. Let v = z - 197. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x\/x**(1\/4))\/x*x)*x**6*x)\/(x**1*x\/(x*x**0*x)*x) assuming x is positive.\nAnswer: x**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + 6*u**3 + 2*u**3 - u**3 + 509.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/24)\/9*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m. What is the least common multiple of 10 and p(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q + 7*q - 7*q)*(-1 - 2*q + 1)*(3 - 3 - 3) in the form h*q + b*q**2 + c and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29925054 divided by -1\nAnswer: -29925054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 14*x = 0. Suppose 2*i = 2, 5 = 4*g - 3*i - 0*i. Solve x = -2*u + g*l, 5*u - 4*l + 8*l = -27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, 5, 118, -4, 0 in decreasing order.\nAnswer: 118, 5, 0, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 1:12 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/917 or -0.1?\nAnswer: -1\/917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1925)\/(-165))\/(7\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 + 10*i + 4. Let z(o) = 3*o**2 + 7*o + 3. What is 5*k(u) - 7*z(u)?\nAnswer: 4*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - 0.02. What is the closest to 0 in 0.2, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -819 + 819.015208. Round n to four decimal places.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2782266 to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13122*w**5 - 972*w**4 - 360*w**3 - 16*w**2.\nAnswer: 2*w**2*(9*w - 2)*(27*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + 8*f - 2. Is n(-5) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951866.\nAnswer: 2, 475933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13207391?\nAnswer: 13207391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*q - 6.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + t**2 - 4*t**2 + (-t + t - 4*t)*(196 - 273*t - 196)*(-1 - 3 + 2 + (2 + 0 - 1)*(-2 + 0 + 0) + 2 - 3 - 1).\nAnswer: -6555*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 + 113336*u + 1926134 = 0.\nAnswer: -56651, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 + 2*c**2 + 3\/2*c**3 + 1\/12*c**4 - 56*c. Give z(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**3 + 6*i**2 + 7*i + 22. Let j(w) = -13*w**3 + 11*w**2 + 15*w + 44. Give -11*d(m) + 6*j(m).\nAnswer: -m**3 + 13*m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/3))\/n**(-11))\/(n**1)**(-23) assuming n is positive.\nAnswer: n**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 9*k + 5. Let h be l(4). Let q = h + 14. Suppose 0 = 3*g - g - 5*z + q, 0 = -5*z + 5. Sort 2, 3, g in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*a**4 + 500*a**3 - 515*a**2 - 2700*a + 4500 = 0. What is a?\nAnswer: -30\/13, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Let o(s) = -2*s - 9. Let g(c) = 5*j(c) + 2*o(c). Let m be g(5). Solve m = 3*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 + j + 2. Let a(b) = b**3 + b**2 + b + 1. Suppose 8*g = 19*g + 11. Let d(l) = g*a(l) + i(l). Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, x: 4}. Give prob of picking 2 f.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1045*4\nAnswer: -0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -140?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.1 + -43. Let d = -3 - -2.9. Which is the nearest to d? (a) -4 (b) v (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 32*u - 605*u + 267 + 416.\nAnswer: -637*u + 854","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 47 = 4*c - 25, 5*k + c = 63. Suppose -4*x + 69 - 13 = 0. Calculate the smallest common multiple of k and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3353 divided by 143\nAnswer: 3353\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.072857.\nAnswer: -0.0145714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 - 5*b**3 + 62*b - 64*b + 28*b**3 wrt b?\nAnswer: 138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69 from 5128952.73533.\nAnswer: 5128883.73533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6006 - 14086.\nAnswer: -20092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x - 29. Is b(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7333755 and 57860?\nAnswer: 29335020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101841973 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 113.\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 33 + 381. Suppose 44*d - p*d + 146 = 0. Let l = d - 64. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343) + 0 + sqrt(343))**2 + 5*(sqrt(343) + 0) + -3)*1.\nAnswer: 35*sqrt(7) + 4113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -8. Let h(v) = 4*v + v**2 - v**2 + 7*v**2 - 7. Let m(j) be the first derivative of 2*j**3 + 3*j**2\/2 - 6*j - 3. Determine y*m(k) + 4*h(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733255 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -3013000322?\nAnswer: -3013000312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 10, 71, 188, 379, 662, 1055, 1576?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, -2, 3, 21 in ascending order.\nAnswer: -17, -2, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/165 (c) -2\/35 (d) 28\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + k**2 + 4*k + 22. Let i(y) = y**3 + y**2 - y. Let z(n) = 3*i(n) + v(n). Let j be z(5). Is (4774\/110 + -1 + j)*5 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-124)\/(-420) - -5*(-4)\/100. Which is the second smallest value? (a) q (b) 2\/11 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94\/6 + 27\/81 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17974911675 + 2.5087.\nAnswer: -17974911672.4913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17453*a**3 - 17467*a**3 + 24*a**2 + 3*a + 0*a to y + r*a + u*a**2 + v*a**3 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3*n**2 + k**3 + 5*k**2*n**3 - 4*n**5 + 29*n wrt n?\nAnswer: -6*k**3 + 30*k**2*n - 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f. Let p(y) be the first derivative of -11*y**3\/3 + y - 3645. Give p(q(r)).\nAnswer: -539*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w - w)*(2 + 3 - 3)*(4 + 4*w - 4) + 104 + 17*w**2 - 104 as y*w**2 + f*w + a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 2 = 2*z - 5*q, -16 = -4*z + q. Let i be z\/1 - (-78)\/(-24). What is the nearest to i in -0.4, -4\/5, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*10\/(-45) - 130\/(-18). Suppose -u = -3*b - 4*b. What is the greatest common factor of 3 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494025246 to the power of 1\/5, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from gcg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 12 + 33. Let l(p) = 6*p - 21. Let m(s) = -s + 3. Let o = -41 - -39. Let h(k) = o*l(k) + u*m(k). Differentiate h(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 330239434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 143639070 divided by 14363907\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00104584 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21923721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/7))**(19\/4) assuming s is positive.\nAnswer: s**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17914937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7117999 years?\nAnswer: 0.007117999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3870 = -5*k, -8*b - 50*k + 10265 = -45*k. Calculate the greatest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 1321, 4069, 9337, 17965, 30793?\nAnswer: 48661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 - -3?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7368 is divided by 112?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*s - 2577905, -2*k - 153830 = 2*s - 1442786. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222897 and 130071.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -1 in decreasing order.\nAnswer: 10, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/18 - 17*n**4\/18 + 8*n**3\/3 + 36*n**2 - 25*n. Let f(h) = 0. What is h?\nAnswer: 4\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*x + 8*n, -3*x + 4*n + 26 + 14 = 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -72, -53, -18, 39, 124, 243, 402?\n\"Answer: h**3 - h**2 + 5*h - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33.499 and -0.33.\nAnswer: 11.05467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 1, k: 3, j: 5, w: 4}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45779 is divided by 995.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 559177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88337, 88309, 88279, 88247?\nAnswer: 88213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/((-1)\/3). Let l be (r + 2 + -6)*3\/(-20). Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {c: 7, y: 5, n: 6, v: 1}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m. Let y be -2*(1\/2 - 1). Let h be t(y). Suppose 0 = -h*z + 16, z - 6*z = 5*d - 85. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -4*z**7\/105 - 9*z**6\/20 - 11*z**5\/10 + 5*z**4\/6 - 65*z**2. Factor p(t).\nAnswer: -2*t*(t + 2)*(t + 5)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2*n + 3)*(4 - 5 + 4).\nAnswer: 6*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968534965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(32\/(-4) - -4)*18978 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnaacncddccccdc. What is prob of sequence ada?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/35*9\/24.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13315126 (base 8) in base 2?\nAnswer: 1011011001101001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144663682, -289327359, -433991036, -578654713, -723318390, -867982067?\nAnswer: -1012645744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1980 and 534?\nAnswer: 176220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69749)\/(-18355)*90\/(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/15))**(1\/6))**43 assuming s is positive.\nAnswer: s**(731\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/268193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + 0 - 23*r**3 + 4 + 21*r**3. Let v(o) = 3*o**3 - 7*o**2 - 5. Give 5*b(z) + 4*v(z).\nAnswer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**7)\/u)**(-38)\/(u\/(u**12*u)*u\/((u*u\/(u\/((u\/(u\/((u*u**(8\/7))\/u)))\/u)))\/u*u)))**(-45) assuming u is positive.\nAnswer: u**(-87615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 8*c - 9. Is x(9) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*o**2*w + 349*i**2*w - 32*i*o**2 - 2*o**2*w + 5*w wrt i?\nAnswer: 10*o**2*w + 698*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03556 - 0.1\nAnswer: -0.06444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 1426, 2016, 2842, 3904, 5202?\nAnswer: 6736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q - 2*q + 3*q)*(q + q - 3*q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-216) + 8\/36. Let q = 3.95 + 0.05. Let a be (-111)\/(-132) - 9\/12. Sort q, a, s in ascending order.\nAnswer: a, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = j, 0*j = -2*m - 4*j - 4. Calculate the common denominator of 14\/(-210)*(-327)\/m and -97\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002134322 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2\/11*z**2 + 80\/11*z + 800\/11 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 18 = 5*f, 0 = -2*f + 3*l - 5*l. Suppose 3*v - 95*c - 9492 = -96*c, f*v - 6335 = -3*c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 13*f + 3*q + 14, f - 1 = -3*q. Does 3 divide (-171)\/(-6)*(-4)\/10*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 18*q + 0*q**2 - 81*q.\nAnswer: 2*q**2 - 99*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*p**3 + 15153440*p**2 + 143509137876*p - 143524291716 = 0. What is p?\nAnswer: -189423\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18429139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkqtzgn. What is prob of sequence kz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0\/(-23))\/(-1 - -2). Which is the fourth smallest value? (a) -3 (b) i (c) 2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*r**2 - 69*r**2 + 5*r**2)*(2 + 0 + 0)*(4 + 0 - 2).\nAnswer: 112*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -4 (c) 24 (d) 4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/14 - 109*b**6\/15 - b**4\/12 + 15*b**3\/2 - 9*b**2 - 3431*b. Find the third derivative of k(v) wrt v.\nAnswer: 180*v**2 - 5232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779989 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/60 - v**4\/4 + 7*v**3\/6 - 8*v**2. Let n be b(8). Suppose -o + n = -25. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -981\/17729 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -935960, -1871922, -2807882, -3743840, -4679796, -5615750?\nAnswer: -6551702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224876 divided by -9.\nAnswer: -224876\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 56.7. Let t = 0.19 + 7.81. What is the nearest to t in 1, q, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-5)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 934 - 421*c - 934 + (-1 - c + 1)*(-3 + 4 + 1) in the form i + l*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-20 - -12 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-78)\/(-8))\/(18\/(-48)). Let w be 4\/v + (-15)\/(-13). Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*t - 39 + 39)*(-343 - 117*t**2 + 343).\nAnswer: -2340*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:57 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 2*h = 5*z - 20, 4*z = -2*h - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/15 - 224\/(-20). Suppose -15 = -x*n + 8*n. Suppose 0 = 3*o - n*a + 22 - 69, 44 = 3*o - 2*a. Calculate the remainder when 26 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 + 5*a**4\/24 + 5*a**3\/6 - 7*a**2. Let m be h(7). Is -10 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(1\/4)\/j)\/j))**(-7\/3))**(-38) assuming j is positive.\nAnswer: j**(1463\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tplaiivttavp. Give prob of sequence ipl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 1728 = d. Suppose -64 + d = 8*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.2 + 5. Let m(d) = 6*d - 15. Let w be m(4). Suppose -4*i - 3*p + w = -8*p, 0 = 3*p + 3. Which is the nearest to z? (a) 2\/21 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*f - 139*f - 131*f + (2*f - 5*f + f)*(-1 + 4 - 4) + f + f - f + (-3 - 2 + 2)*(3*f - f - 5*f) to a + i*f and give i.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4 - 2991*g**3 - 70212*g**2 - 171600*g + 244800 = 0.\nAnswer: -20, -4, 1, 1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-10) + (-3)\/(-5). Let m = o + -3. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2. Let u(b) = 8*b + 6. Let h(m) = -23*m - 17. Let n be ((-2)\/(-2))\/((-1)\/17). Let z(k) = n*u(k) - 6*h(k). Determine a(z(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*k*k**(1\/3)*k*k)\/k)))\/k)**(-26\/3)*(k\/(k**(-1\/3)\/k))\/k*k*k**(2\/7) assuming k is positive.\nAnswer: k**(-1109\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 24*n**2 - 91*n - 1. Let k be v(5). Suppose 0 = -4*q + 25 - 5. Suppose 5*y - 16 = y. Solve q*i = k - y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468))*-6 + sqrt(468) + sqrt(468) + -3.\nAnswer: -24*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*l - 32 = -904*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 36*(8 + (-552)\/(-9))?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 11:40 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/4 + 5. Suppose 0 = -2*t + 14 + l. Calculate the least common multiple of t and -1 + (1 - 3\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 30 = 2*m, -27*t + 31*t + m = 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 - 32 = -24*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/189)\/(6*592\/(-672) - -2)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1604\/3 + -541. Let m = 60527\/12 - 5050. Let i = m - y. What is the second smallest value in -4, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1556943349 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -9*h + 2*p, -2*h - p - 138 = -125 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302 = -10*j - 4*j. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -27 - 16*c**3 - c + 28 + 10*c**3 - c + 7*c**3. Let z be 0 + (0\/(-2))\/(-1). Let y be w(z). Which is smaller: -70 or y?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3049 + -298?\nAnswer: -3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-5)\/2. Let v = 0.01 + 1.99. Let n = 1 - v. Which is the nearest to n? (a) d (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m. Let o(c) = 8*c**3 + 8*c**2 - 6*c + 5. Let r(b) = o(b) + 2*v(b). Let q be r(-4). Let x = -135 - q. Does 52 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10464*l + 10526*l + 1798 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let l = 0.009 - 4.209. Let j = p + l. Which is the third smallest value? (a) 1 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 344848 and 911384.\nAnswer: 12759376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11889568 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 68. Let w be c(14). Suppose -7*a - 302 + 358 = 0. What is the greatest common divisor of a and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15888 - 15888.1. Which is the nearest to 0.134? (a) 0.03 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 + 14311?\nAnswer: 14106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 26*w - 224. Give o(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.35 + -1.65. Which is the smallest value? (a) -1 (b) j (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 1 = 13. Solve -2 = -u + a*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-4)*(-68)\/10. Suppose -x = -14*f + 22. Let i be f*2\/32 - -1. Is 0 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 2*w - 12*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 13, 0, 3, 6 in decreasing order.\nAnswer: 13, 6, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -7. Let w be c + (-1 - (-4 + 0)). Let n(h) = -7*h + 7*h - 2*h**w. Let p(x) = -2*x. What is p(n(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 - 9*a**3 + 12*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 93 = -2*g + 6*g, 5*h - 61 = 3*g. Let t = -6 - g. Let m = t - -61. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 + 25*q**2 + 25*q + 11. Let x(a) = -a**3 - a**2 - a + 1. Let s(u) = -l(u) - 5*x(u). Let j be s(21). Solve -2*c - 9 = -j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 3*o. Let c be a(-2). Let q be (1 + c)\/((-2)\/(-28)). Find the common denominator of 93\/8 and (3\/12)\/(9\/q).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6154?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14653 - 6493. Is r a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1851*-0.037026.\nAnswer: -68.535126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/3 - 2*v**2\/3 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14028 and 5628.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/3))\/(g**(-2)\/g*g))**(-1\/41) assuming g is positive.\nAnswer: g**(-7\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q**3 + 33*q. Let j = 5605 - 5599. Let m(t) = 7*t**3 - 16*t. Give j*n(d) + 13*m(d).\nAnswer: d**3 - 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 4 - 3)*(-2 - 2 + 3) + (0 + 2 + 6)*(2 + 0 - 3))*(2*n + 3*n + 95 - 105) to z*n + j and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -160591, -321178, -481765?\n\"Answer: -160587*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89545057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 106348 + 35652 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -13.6 (c) 0.3 (d) -4\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 - 20*x + 48. Let s be m(18). What is the greatest common factor of s and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r + 5. Let l be (1\/r)\/((-1)\/6). Suppose -24 = -l*k + 57. Calculate the greatest common divisor of k and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239662143 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 18424?\nAnswer: 202664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 62*v - 123. Let j(q) = -q**2 + 32*q - 61. Let o(n) = 4*f(n) - 9*j(n). Does 31 divide o(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*h + 16, h + 7 = 4*d - 3. Suppose -1 = z + d. Let r be (-3)\/(-9)*(-60)\/80. What is the closest to r in z, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d + 3*d - d - 7 - 2. Let g be a(6). Let s(h) be the third derivative of -h**5\/60 + h**4\/24 - h**2. What is s(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:48 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 12*q**2 - 11*q + 11. Let s be 1\/1*(50 - 61). What is b(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.056 times 253.113\nAnswer: -267.287328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1168 + -1169. Let d be 0 + (-2)\/9 + 0. Which is the smallest value? (a) d (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 - 2*l + 2. Let j(u) = 8*u**2 - 2*u + 1. Let g(q) = 3*j(q) - 2*z(q). Calculate g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 37, 50, 59, 64, 65, 62?\n\"Answer: -2*z**2 + 23*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.0923 + 1.8448. What is z rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 8. Let l be (j + -8)*(-4)\/1. Suppose 0 = -2*x - 3*h - 11, 0 = x - l*x - 2*h - 4. Solve -x*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -315, -305, -295?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.2 - -12.14. Sort -2, 62, b in decreasing order.\nAnswer: 62, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70640, -70685, -70734, -70787, -70844, -70905, -70970?\n\"Answer: -2*s**2 - 39*s - 70599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 5*w - 4. Let c be i(4). Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 34788?\nAnswer: 139152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 20*t + 27. Let f(d) = 14*d + 18. Let r(c) = 7*f(c) - 5*h(c). Give r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s**5\/2 + 957*s**4\/2 + 7083*s**3\/2 + 15771*s**2\/2 + 2148*s - 2664 = 0. What is s?\nAnswer: -37, -4, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 97. Let p = -6 + 5.98. Let z = p + -3.98. Which is the second smallest value? (a) -3 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9042 + -4880. Is 35 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525842 and 4.\nAnswer: 1051684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 0. Let y = 5 - d. Suppose a = -y*g + 20, -g - a = 2*a + 6. 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: Collect the terms in -3206 + 1193 + 2013 + 11*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5267385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 1125*k**2 - 8803432*k - 8804556.\nAnswer: (k - 2458)*(k + 1)*(k + 3582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 10, -7, -2\/5 in descending order.\nAnswer: 10, -2\/5, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60709?\nAnswer: 11, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 50*v - 57. Give u(-26).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*t - 5, -4 = 2*c - t - t. Calculate the highest common factor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7742919 less than or equal to -7742922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 13 = w + 29*m, 0 = -5*w - 3*m - 17. Which is the third smallest value? (a) 3.25 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let s = 236 + -355. Let u = s - -122. Sort 0.1, u, c, -4\/3 in descending order.\nAnswer: u, 0.1, c, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 413. Let m be i(-5). Solve m - 419 = -8*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 0.43, 23, 0.9, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 14*u + 1. Let t be l(7). Which is the nearest to -2\/9? (a) t (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 78*l + 3. Let j(f) = 14*f. Let g(r) = -6*j(r) + q(r). Let i(c) = -5*c. Determine g(i(m)).\nAnswer: 30*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b - 795. Determine f(9).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 0*h + h - 6*h + 6 - 4*h. Is c(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29085554.8 and 77.\nAnswer: 29085631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367*g**2 + 202*g**3 - 391 - 2276*g**2 + 792 - 401 wrt g?\nAnswer: 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61747455 - 7.4902.\nAnswer: -61747462.4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 2, g: 5, t: 1}. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 + 5*a + 1. Let b be v(0). Put -3, 41, b in increasing order.\nAnswer: -3, b, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4 + (-35189)\/(-2) - 1\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195626, 782266, 1759922, 3128594, 4888282, 7038986, 9580706?\n\"Answer: 195508*j**2 + 116*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -412200 + 11?\nAnswer: -412156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*k**2*s**2 - 1736*k*s**2 - 59264*s**2 wrt k?\nAnswer: -28*k*s**2 - 1736*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 - 9 = 0. Let s be (-52)\/g - (-4)\/6. Let m = 7 + s. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 30, 36, 44, 54, 66, 80?\n\"Answer: c**2 + c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 1332 = -12443. What is the highest common divisor of l and 1235?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from gttjtgtartttaggtajr.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 0, s - x + 6*x - 2 = 0. Let w(l) = 3*l + 4. Let j(r) = -5*r + 1 + 1 + 1 - 8. Let a(n) = -3*j(n) - 4*w(n). Determine a(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/20)\/7 + (-6)\/8. Let w(v) be the third derivative of -v**4\/4 - 2*v**2. What is the units digit of w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-21)\/70 - (-1)\/5. Suppose u*p - 21 = 31. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3.09.\nAnswer: -6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from ybbrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 106 - 102 - 2*v + 277*v**3 - 6 to the form o*v**2 + x*v + z + c*v**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -207, -193, -179, -165, -151?\n\"Answer: 14*x - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/255 and -29\/120.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 - 4 = -5*p, -p = -2*q + 9. Sort 23.5, -1, p.\nAnswer: -1, p, 23.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17530 + -4083. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4 + 0 - 5*x - 2 + 0. Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*x = -c + 20, 32 = 5*c + 3*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 203254159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13056 and 598144?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.398 milliseconds in microseconds?\nAnswer: 603398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982898 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: What is (-22)\/(-110)*(-20)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -101. Solve -n - 5*q = w*n - 24, -24 = -4*n - 4*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccjbcjjjcbjxjjj. What is prob of sequence bb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/2 + 3*l. Let c(o) be the third derivative of 0*o**3 - 3*o**2 + 1\/24*o**4 + 0 + 0*o. Determine d(c(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-810)\/(-66)*3 - 2\/(-11). Find the second derivative of -1 + 0*z + v*z**5 - 74*z**5 - 9 + 2*z - 4 wrt z.\nAnswer: -740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26*24\/18*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39660 or 39585?\nAnswer: 39660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 20. Let z = -17.9 + 95.9. Let g = 78 - z. What is the closest to 1 in 0.3, m, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 21402927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-2*sqrt(20)\/sqrt(2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - a**3 - 6*a**2 + 2 - 2 + 3*a**3 - a**3 + 0*a**3 - 2*a**3 + (-3 + 3 + 2*a)*(0*a**2 - 2*a**2 + 0*a**2) as i*a**3 + b*a + r + s*a**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 581030680?\nAnswer: -581030680.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403110 + 4432?\nAnswer: -343123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from {r: 3, k: 2, l: 2, d: 4, s: 3, v: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/30 + 13*a**5\/20 - 5*a**4\/4 - 13*a**3\/6 + 7*a**2 + a + 1. Factor k(d).\nAnswer: (d - 1)**2*(d + 1)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v**5)\/v)\/v*v\/(v*(v\/(v**(1\/7)\/v*v)*v*v)\/v*v*v))\/(v**1)**22)\/((v*v**(-2))**(-6\/5))**(-3\/10) assuming v is positive.\nAnswer: v**(-3587\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108193 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*n + 21 = 11*u + 3 - 10, 60*u + n = 2*n + 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -7. Let x be -2*(0 - -1)*-2 - 1. Put o, 0, x in decreasing order.\nAnswer: x, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -654, -2187, -5176, -10107, -17466, -27739?\nAnswer: -41412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - j - 7*j**3 + 4*j + 0*j + 2*j. Let o(t) be the third derivative of t**6\/40 + t**5\/60 - t**4\/12 - 2*t**2. Give 2*a(c) + 5*o(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 14*w - 4. What is the remainder when p(-7) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 + 40345*z + 60513 = 0. What is z?\nAnswer: -20171, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -764 + 1552?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 17*j + 6. Let u(v) = -v**2 + 6*v - 2. Let o(f) = 3*d(f) + 8*u(f). Let t(i) = 4*i**2 + 7*i - 4. Calculate -5*o(p) - 2*t(p).\nAnswer: 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71107 and 258.\nAnswer: 18345606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63252.11t to nanograms.\nAnswer: 63252110000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 - 193. What is the remainder when 196 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70448452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11004589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:21 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15520)\/(-93120)*((-5)\/(-2) - 2)*4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-555)\/74*(-4)\/18.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from 685822440.\nAnswer: 685822421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 293862 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 8*o, -3*o = 5*b + 27. Let r be (3 + 1 - (16 + -11))*b. Let c(x) = -x**2 + 5*x + 8. Let l be c(r). Solve -d = -l*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367 + -358. Suppose -3*d = -336 - k. Let y = -12 + 58. Calculate the greatest common divisor of d and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92113, 92114, 92115?\n\"Answer: f + 92112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-705)\/6768*-36)\/(12\/(-496))?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/825387111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4020242132 - -10?\nAnswer: -4020242122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 4. Let z = 407\/4 + -102. Which is the closest to z? (a) q (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -11. Solve f = -3*z + z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101111001001011 (base 2) in base 8?\nAnswer: -357113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r + 157*r + 120 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 11*k**2\/2 + 8. Let w(v) = -v. What is w(x(z))?\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/8 - 0)*(-808)\/(-30). Let u = g + 40. What is the smallest value in 2, 0, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -646339\/208 - -24863\/8. Find the common denominator of -105\/442 and g.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*w = -2*w + 16, -10 = -5*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17808 and 16006?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/23 (b) -6 (c) -0.5 (d) -36\/5 (e) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -146.4.\nAnswer: 1610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 104*f**2 - 11*f + 7. Let v(a) = a**3 + 62*a**2 - 5*a + 4. Let z(y) = -3*p(y) + 5*v(y). Determine z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/34)\/3*4\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -608 + 843. What is the remainder when g is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255563*m**3*z**3 - 14*m**3*z**2 + 7*m**2*z**3 - 2*m**2*z**2 - 3*m**2 - 3*m*z - 2163*m + 2*z**3 wrt z?\nAnswer: -1533378*m**3 + 42*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/207 - 21\/(-189).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/79)\/g**2*g**(-2\/41)*g\/(g**(-3\/14)*g)*g assuming g is positive.\nAnswer: g**(-38989\/45346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370941963.\nAnswer: 3, 7, 661, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/840 + 3*f**4\/4 - 7*f. Let p(w) be the third derivative of u(w). Let m(k) = 3*k + k - 2*k - k. Calculate p(m(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - 171.00174. Round z to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = 3*t - 4*t, 0 = -3*t + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55288, -55286, -55284, -55282, -55280, -55278?\nAnswer: -55276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-765)\/33660)\/((-3)\/(-64))*3?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*b + 4, 2*b - h = h - 12. What is the nearest to -1 in -0.3, 1\/5, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312110580 rounded to the nearest 1000000?\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, -3, 2\/17 in decreasing order.\nAnswer: 2\/17, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956774953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173619 and 1146?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 359806 = -19*y + 18*y, -y - 2 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -0.1, 149\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6240231 divided by 2080077.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1478888.712ns to weeks.\nAnswer: 0.0000000024452525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459.283 + 459. Let k = -0.27 - b. What is k rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*d + 32*d - 185. Suppose 4*v = 2*s + 2*s + 432, -4*s = 0. What is the remainder when v is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 + 105*l**6 - 2*l - 335*l**2 + 47*l**6 + 636*l**6 wrt l.\nAnswer: 94560*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.109668, -1179 in descending order.\nAnswer: 4, 0.109668, -1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 156 = -3*f, -2*f + i = -104. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {h: 8, p: 8, i: 4}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*c - 39, -2*c + 0 = -s + 9. Suppose -3*k + 0*k = -s. Suppose 5*v - v = 4*m + 224, 3*m - 304 = -k*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 52 = 3*f + 14*r, 124 = 3*f - 14*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -568 + 563. Which is the nearest to 1\/2? (a) 0.5 (b) -0.12 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Let v be (2 + -1 - a) + -99. Let g = 138 + v. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0722 + 0.07219673. What is u rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 3*q. Let d be n(4). Suppose -8*a = -d*a + 8328. Suppose -4*r = -a + 122. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, t: 2, a: 1, u: 1, k: 1}. What is prob of picking 1 k and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 2*g. Let l(r) = -8*r**2 - 5*r. Let i(n) = -2*l(n) - 5*w(n). Let d(s) = -2*s**2. Give d(i(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {w: 9, u: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 = -2*p, -2*p + 20 = 3*h - 0*h. Suppose h*s - 3*s = 50. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-2) + -7 - (4 + -2). Suppose o = 6*r + 3. Solve -4*v + 3*y - r = 0, -4*v + 14 = 2*y - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, x: 3, l: 9}. Give prob of sequence kllk.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5290, -7057, -8824, -10591, -12358, -14125?\n\"Answer: -1767*f - 3523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (119 + -91 - 8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*i - 51, 3*w - 20*i = -21*i - 41. Let u(g) = -6*g - 74. Let o be u(w). Let m(r) = -r**2 - r - 1. Give m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4929510295660053 + 4929510527484103.9999947. Let k = 231823942 - j. Let o = k + 109. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 8*z**2 - z - 23. Let u be r(-10). List the prime factors of (-4)\/(-8) - u\/(-2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 22*r - 171 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39630 - 12215 = 5*s - 4*t, -4*s + 21932 = -t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81324 is divided by 237?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 36*c**2 - 2*c + 11. Let r(a) = 35*a**2 - 2*a + 14. Determine -4*d(g) + 3*r(g).\nAnswer: -39*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4230.693 + 5\nAnswer: -4225.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1364 and 41\/21328?\nAnswer: 234608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyjj.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:01 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/160 - 3\/32. Let z = 0.7 - 3.7. What is the smallest value in v, -2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*l + 20, -5*l + 10 = 3*a - 16. Let m(j) = 13*j - 1. Let v be m(1). Is v greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 62.7169 and 4.2065614.\nAnswer: 66.9234614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 - 2037*m + 4086 = 0.\nAnswer: -681, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 23011 = 22995. What is the smallest value in l, -0.025, 37?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, z: 7}. Give prob of picking 3 z.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o*o\/(o*o**(8\/7)))\/o)\/o**(2\/75))**18)**41)**(-41) assuming o is positive.\nAnswer: o**(897654\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5821 to 2 decimal places.\nAnswer: -11.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 145 = 5*i. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 61 = 211. Let k = q + 4. What is the hundreds digit of ((-8)\/k + 0)\/(6\/774)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252498 or -252501?\nAnswer: -252501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**4 + 180312*h**3 - 451681544*h**2 + 602001664*h - 200640512.\nAnswer: -2*(h - 5008)**2*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*m**2 - 195*m?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15541, 31084, 46627?\n\"Answer: 15543*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1123 (base 16) to base 15\nAnswer: -1477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 17*p + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -960 + 962. Let y = 30 - 42. What is the second biggest value in f, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-12 - (17 - 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -359 - -364. Suppose -3*t + 31 + 81 = -b, -5*t + o*b = -180. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194, 2401, 3626, 4869, 6130?\nAnswer: 7409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - 3*g - 1. Suppose -3 = 2*p + 1. Give q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*z = -315*z + 4*w + 72, 0 = -3*z - 2*w - 34. Factor 1\/2*n**5 - 3*n**4 + 0 - 9\/2*n + 4*n**3 + 3*n**z.\nAnswer: n*(n - 3)**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -32. What is the remainder when 19 is divided by (-7)\/((-21)\/2)*15\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1212663?\nAnswer: 1212660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfffp. What is prob of sequence fppf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 38*h**2 - 3*h + 2. Let f be x(1). Determine a so that 4*a**3 + 10 + 120*a**2 - 75*a - 22*a**3 - f*a**3 = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 2:31 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686, -676, -658, -626, -574, -496?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16075*r**3*z**2 + 6*r**3*z + 637*r**2*z**2 + 4*r**2 + r*z**2 - 4*r*z + r wrt r.\nAnswer: 96450*z**2 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:23 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*w - 6 + 13 = 0, 0 = -3*s - 3*w - 6. What is the nearest to -0.1 in 0, -32, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122597 is divided by 15323?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 5\/(-2))\/((-8)\/(-3936))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1098 and 595482?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 10 = 0. Suppose -5*c + 12 - m = 0. Suppose -c*w + q + 13 = 0, -2*w + 3*q + 14 = -w. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 3160*n + 18. Let p(j) = 2*j**2 + 3159*j + 23. Calculate 5*g(y) - 4*p(y).\nAnswer: 2*y**2 + 3164*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2464, -1869, -862, 569, 2436, 4751, 7526, 10773?\nAnswer: 14504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (13 - 4)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2444 + -1?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 55. Suppose 4*z + 0*h + h = 443, 452 = 4*z + x*h. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 529425, -1\/6, 3, 2\/5, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 13*m - 89. Let c be v(4). Let g(o) be the first derivative of o**2\/2 + 6*o + 2. Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfxl when four letters picked without replacement from {x: 1, l: 2, f: 1, j: 1, i: 2, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -43, 704, 4 in ascending order.\nAnswer: -43, -6, 4, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 5*y**3 - 38*y**2 + 6815?\nAnswer: -8*y**3 + 15*y**2 - 76*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/540 and 83\/72.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.49 and -7948.\nAnswer: -3894.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 - 11*u + 12. Let s be v(10). Suppose 2*x + 45 - s = -y, 3*y + x = 1396. List the prime factors of y.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*x - 1542 = 0, 191*v - 3870 = 186*v - 5*x. What is the highest common factor of v and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqpq when four letters picked without replacement from qqkkkpqp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = -0, -2*x - 687 = -5*h. What are the prime factors of h?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137946, -137940, -137932, -137922?\nAnswer: -137910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w)\/w**(-23) assuming w is positive.\nAnswer: w**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -2*a, 2*w + 4*a + 4 = 4*w. Suppose 5*h = -w*k + 364, 4*h + k = 64 + 229. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/223, 3, -0.04392?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9202854 millilitres?\nAnswer: 0.0009202854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 5. Let c be v(2). Suppose c*r - 6*r = 3. Calculate the remainder when (2 - 1 - 12)\/r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, y: 1, g: 2, f: 2}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69783121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 12*x - 5. Let c be (7 - 6)*7\/(-1). List the prime factors of l(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1152, 1830, 2950, 4518, 6540, 9022, 11970?\n\"Answer: g**3 + 215*g**2 + 26*g + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 54*d + 5*d - 114 + 115 as n*d**2 + q*d + g*d**3 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.2209, 1 in descending order.\nAnswer: 1, -0.2209, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6003046 by 2534.\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(2 + 5 - 9)*(-10*u**2 - 6*u**2 + 11*u**2).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)*(4 + -4). Let u = m - 2. What is the units digit of (12\/(-10))\/(u\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/3 - 55*z**3\/6 - 19*z**2. Let l be h(-9). Suppose 33 = l*o - 681. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = -4*v - 68. Let r be 17\/(-36) - ((-152)\/36 - v). What is the closest to 0 in r, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 729*d\/2 + 2915\/8.\nAnswer: (d - 2915)*(d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 60 = k. Suppose 4*l - k = -4*i, 2*i + i + 2*l - 10 = 0. Let m be 3*2\/(-6)*-2. Solve i*v = m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 36 + v - 1\/2*v**2. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-5)\/(l**2*l*(((l*l*l\/(l\/(l*l*l*(l**1*l)\/l)))\/l)\/l)\/l))**(-15) assuming l is positive.\nAnswer: l**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x - 18. Let t be (-4)\/1*(1 - -1). Let d be f(t). Suppose 0*o = -3*o + d. What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1739*r - 506*r + 143*r)*(1 - 3 + 4) + (0 - 4 + 2)*(4 - 4 + 2*r).\nAnswer: 2748*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 18. Suppose 0 = 2*m + 4*k - 20, m + 2*k = i*k - 8. What is the derivative of 2 - 2*w**2 + 3*w**2 - m wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126456 by -31614.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzz. Give prob of sequence zr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from vmvmvvmvvvvvvvmm?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = -25*y - 2*y - 77 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/(9 - 285\/35)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/(19\/(-57)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 3*s**2 + 0*s**2 + 4*s**2 + 3*s**2 in the form q*s**2 + k*s + c*s**3 + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-2)\/3) - 208512\/43440?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxxqqqqqqqqqqxxqq. Give prob of sequence xxqx.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*l - 28 = 2*l - 12 + 6, 1037 = 5*z - 2689*l + 2603*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17954, 18322, 18690?\nAnswer: 19058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559842 is divided by 3194.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -796 - -820. Calculate the common denominator of 21\/20 and ((195\/g)\/5)\/((-4)\/(-14)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:02 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*t - 12, t - 4 = 5*t - 4*y. Let h(b) = b**2 - t + 1. Let u(j) be the second derivative of -j**4\/12 - 2*j. Give h(u(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -361801.\nAnswer: 3\/361801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -314, -310, -304?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 28149*i - 28147*i - 19 = 0, -4*i - 7 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242409840 or 242409836?\nAnswer: 242409836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 802306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2385 and 25175.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 3310132?\nAnswer: -3310123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = 0, -2*c + 7*o = 4*o - 158. What is the lowest common multiple of 8 and c?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1135 times 6.5\nAnswer: 7377.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x + 3*x, -4 = 4*i - 4*x. Let g = 3.8 + -2.7. Let o = g - 0.9. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -265.0021.\nAnswer: -264.9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}