diff --git "a/data/dm_maths/full_data/2378_11255.jsonl" "b/data/dm_maths/full_data/2378_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2378_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(k) = -k**3 - 6*k**2 - 2*k + 2. Let r be y(-6). Suppose r*j = 16*j. Solve 0 = -2*n - j*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-2)\/(14 - 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 8*t - 2. Let p be j(-8). Is 2\/(-4) - 399\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b - 1677 = -2082 - 5223. What is the highest common factor of b and 1876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8322 is divided by 8315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x = l + 844, -69 = -358*x + 370*x + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10679321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 403, 395, 373, 331, 263?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 64127050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 70. What is the highest common factor of f and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 531899 - 531895, 5*u + 5*y - 260 = 0 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110101 (base 2) in base 6?\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -248.7\nAnswer: -994.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18132485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1492 and 951523?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-14) - (-4)\/14. Let h be ((-62)\/(-6) - 2)*d. Suppose 0*i = -5*o - 5*i + 25, -i = -4*o + h. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -974? (a) -3 (b) 0.03 (c) 3\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.4. Sort y, -5, -2\/5 in increasing order.\nAnswer: -5, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 2.9. Let n = 0.1 - -0.9. Let k = u - n. What is the second smallest value in -1\/3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*k - 2244*k + 1097*k.\nAnswer: -385*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:46 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*(8 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -4*g + 2*y, -g - 4 = -5*y. Suppose g*r + 1 = 5*r. Let n = r - -4. Solve -2 = -p + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -4. Suppose -5*l + 7*l = 5*h - 222, l + 111 = -3*h. Let n = f + l. Is -25 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 26 = -5*d, 2*q + 4 = -5*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*t - 311*t + 270*t - 50423 = -6910 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12600168 is divided by 2843.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28*l**3 - 3*l**2 - 5*l + 2. Let y be f(-2). Suppose m - y - 369 = 0. List the prime factors of m.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -7, -133, 14.\nAnswer: -133, -7, -5, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:17 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1) - (19\/76)\/((-8)\/(-224)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*w = -7599 - 1060, 17334 = 2*b + 2*w. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -40*g**2. Let a(v) = -18*v**2 - 4. Give a(c(m)).\nAnswer: -28800*m**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:23 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:44 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 3a623?\nAnswer: 3a60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2. Let j(o) be the third derivative of o**6\/120 + 11*o**3\/3 - 5*o**2. Determine -2*j(k) + 22*m(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - 4*l + 5. Let m be k(3). Suppose -m*d = 148 + 17. Which is the second biggest value? (a) 1 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*s + 11390 - 11390)*(-2*s + 3*s - 2*s).\nAnswer: -74*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4280 and 27080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 9245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18009*d = -18075*d + 462 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352) + -1)*6 + sqrt(2352))**2 + ((sqrt(240) - (sqrt(240) + -2*sqrt(240) + sqrt(240)))*4)\/sqrt(5).\nAnswer: -2336*sqrt(3) + 115284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let q be 0 + 1*17 - (-25 + 22). Solve -2*n + q = y*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w - 48*w - 47*w - 53*w - 44*w - 72*w + 308*w - 15*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -312893 from 2.\nAnswer: 312895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - -6) + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 36236192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -21 + (44 - (-5 - -23)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26194231 a multiple of 3855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 4\/7, -3\/7, 0.1, 56\/3 in descending order.\nAnswer: 60, 56\/3, 4\/7, 0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/11195624 and -77\/4071136.\nAnswer: 44782496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let g(d) be the second derivative of d**4\/6 - d**3\/6 - d**2\/2 + 3*d. Let t be g(2). Sort t, 1, b in descending order.\nAnswer: t, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3863 = 6762. Let w be ((-112)\/(-10))\/((-2)\/c). Round w to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*a - 3*z + 87, 2*a - 2*z = 54. What is the derivative of a + 468 + 3*w**2 - 4*w - 205 wrt w?\nAnswer: 6*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4500)*-2 + 1)**2 + ((3*sqrt(1620))**2 - (-1 + sqrt(1620))**2).\nAnswer: -324*sqrt(5) + 174960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36787366943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/(27\/(-6))).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -30*6\/(-12) - 4. What is the greatest common factor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3796?\nAnswer: -379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)\/3 + 1. Let i = 4 + q. Suppose -i*c - 1 - 3 = 0. Sort -3, -0.5, c.\nAnswer: -3, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1321*q + 217980. Give l(165).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -605 (b) -2\/5 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/51 and 151\/168.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44237571 - 3?\nAnswer: 44237566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 79 = -y, -42 = j - 2*y. Let q(o) = -43*o + 176. Let n be q(4). Sort n, j, -1, -4 in descending order.\nAnswer: n, -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-3)\/(-2)*(19 - (-119)\/(-7)). Suppose 3*c - 10 = -2*c - 3*f, -f + 5 = 2*c. Solve c*r + n + n - o = 0, n - 5 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5461255kg in grams?\nAnswer: 546.1255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 11*j + 8. Let i be q(-12). Let t(n) = -2*n**3 - 3*n - 4. Let a(z) be the first derivative of -z**2\/2 - z + 6. Give i*a(k) + t(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/((-84)\/(-7182)*19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6.23928\nAnswer: -1.247856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36823914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggvgggtgpggtg. What is prob of sequence gv?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46112, -46381, -46650, -46919, -47188?\nAnswer: -47457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4) + (-42)\/21.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/540 - n**5\/90 - 11*n**3\/3 + 4. Let y(k) be the third derivative of z(k). What is o in y(o) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i + 19. Let h(g) = g**2 + 7*g - 9. Let j be h(-9). What is the remainder when f(j) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41929121 or -41929120?\nAnswer: -41929121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/59229 and -127\/171606156.\nAnswer: 514818468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32702?\nAnswer: 2, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**2))\/z)**(2\/25)*((z\/(z**(-1\/5)\/z))\/z)\/z**(-9) assuming z is positive.\nAnswer: z**(257\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*g**4*q*z**3 + 20*g**4 - g**3*q - g**2*q*z**3 - 7*g**2*z + 2*g*q*z**3 - 3*q + z**3 wrt g.\nAnswer: 816*g*q*z**3 + 480*g - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 3. Let y(l) = 10*l + 16. Let h(u) = 16*p(u) - 3*y(u). Let s be 152\/28 + 8\/14. Let b(v) = -2*v - s*v + 7*v. What is h(b(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20*s - 1 = -17*s, -5*s + 15 = 0. Suppose -1160 = -2*c - 4*d, -2*d + 7*d + 2885 = b*c. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -89, 2, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/57672 and 31\/6319356.\nAnswer: 341245224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346*-5.\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-5 + 4)*(-21 + -4534)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-31)\/(-6) + (12\/2)\/18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -203.\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 4*v + 2. Let i be m(-5). What is the least common multiple of -4 + 40\/((-16)\/(-4)) and (i + 0 + 0)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90500000 to the nearest 1000000.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-5)*q**(-2\/9)*(q**0)**12 assuming q is positive.\nAnswer: q**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (46 - 48)*(-6)\/4. Let f(a) be the third derivative of 0*a + 1\/3*a**3 + 0 - 7\/24*a**4 - o*a**2. Find the first derivative of f(w) wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 2. Let b be j(-5). Let p be (-1 - 11\/3)*b. Let s = p + -3. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 2, y: 3, h: 4}. What is prob of picking 1 p and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u + 119. Suppose 0 = 30*v - 38*v + 320. What is the remainder when c(0) is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -64, -46, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + 1\/4. Let w be (0 - -1)*(-24 - (-6 + 2)). What is the tens digit of (w - 0)*(f - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 - 215. Sort r, -4, -2 in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 25. Let u be ((-3)\/6)\/(4\/c). Is u*(676\/(-8) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 0, -5*y + 0*y = 5*f. Suppose -f*o - o + 132 = 0. Calculate the remainder when o is divided by (1\/(-2) - -1)*34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*m = -438*m + 78. Sort -5, -62, m in decreasing order.\nAnswer: -5, m, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14858 = 6*m - 5002. What is m rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448) + sqrt(7))*-6.\nAnswer: -102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 98. Suppose 0 = 4*u - h*o - 1672, u = -u - 3*o + 836. What are the prime factors of u?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -9*a**5\/10 + 3*a**4 - 7*a**3\/2 + 3*a**2\/2 + 220. Factor b(f).\nAnswer: -3*f*(f - 1)**2*(3*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**2*j**(1\/4)\/j*j)\/j**(-1\/16))**(-16))**(-2\/59) assuming j is positive.\nAnswer: j**(138\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 133223 (base 4) in base 15?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2957500*h**4 - 3900*h**3 + 9*h**2\/7.\nAnswer: h**2*(4550*h - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -325 + -1931?\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16682726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (-8 - (-296)\/16) and -21\/454.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122088 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: In base 11, what is 5 + -2a1a143?\nAnswer: -2a1a139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.8 * 0.4.\nAnswer: -14.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 984.\nAnswer: -17\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 + -3 + -3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1221?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*v - 95 = 0, -1487*p + 26*v = -1483*p + 862 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20735 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4675278729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:47 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w - 23*w + 15*w)*(-w + w + 3*w**3).\nAnswer: -78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 38*j - 740 = -7*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3031 (base 6) to base 11\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-10 - -13) + 6 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*p - 4*o, 2*o = 5 + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(16\/120). Let i = 8 - -2. Suppose -i = -5*v, -l + 0*v + 3*v - 3 = 0. Solve l + x = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-12)*6\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51480)\/(-1248))\/((-2)\/4)*8\/12?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*o*u**5 - 392*o*u**3 - 5*o*u**2 + 1136*o - u**5 wrt u?\nAnswer: 2100*o*u**2 - 2352*o - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2, 6, 19.4, -1657 in ascending order.\nAnswer: -1657, -0.3, -0.2, 6, 19.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1918*p**3 - 2259*p**3 + 3709*p**3.\nAnswer: -468*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-3 + -4 + 9)) + -2 + -1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 3*k - 2. Suppose -26 = 2*f + c + 7, f + 24 = -3*c. Let i = f - -11. Let z(d) = -5*d**3 + 4*d + 3. Give i*v(g) - 3*z(g).\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638571798?\nAnswer: 2, 3, 19, 47, 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106501 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00840343 to 5 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 2867832.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -867899*q**2 + q**3 + 867899*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/5 + n**2\/2 - 35*n. Determine j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 16*k**2 + 9*k**2 + 2*k**2 + 16*k**2.\nAnswer: 11*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 966823099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150783810 is divided by 70230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(23\/(3864\/16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.8506nm in micrometers?\nAnswer: 0.2448506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.743 - 0.057. Let t = -47.8 - y. Let b = t - -43.4. What is b rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-2\/3)\/o)*o**(-8)*(o**(1\/2))**(4\/13))\/(((o*o**3*o)\/o)\/(o*o**(-2\/25)))**(4\/9) assuming o is positive.\nAnswer: o**(-16229\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 154. Calculate the least common multiple of x(-44) and 9.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o. Let m be (1\/(-2))\/((-3)\/72). Suppose 4*p - 3*z - m = z, 5*p + 20 = -2*z. Calculate the least common multiple of 6 and k(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + 258. What are the prime factors of q?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*q**3 + 2637*q**3 - 1349*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 71 = 249. Let w be (-2)\/5 + 34\/10 + -3. Suppose d + 76 - 98 = w. Calculate the remainder when s is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10165 - 10161. Solve -6*a - 8 = -0*a + r*n, -2*a = n + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2176)*1*4)\/(-1*sqrt(242)*3) + -2)**2.\nAnswer: 128*sqrt(17)\/33 + 26120\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 731000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 21 = 17*n - 3*c, 0 = n - 3*c - 6. Let w = -19 - -22. Calculate the lowest common multiple of w and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-15)\/(-6))*-10. Suppose 0 = 2*r - v*b - 56, -4*r + 70 = -2*r + 2*b. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1514, -1515, -1506, -1481, -1434, -1359?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*h - 28*h - 279 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-48) - (-3)\/(-36) - 3)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**4 + 12*c**3 + 6*c**2 - 3. Let q(h) = -8*h**4 + 11*h**3 + 5*h**2 - h - 2. Let u(r) = -5*l(r) + 6*q(r). Factor u(s).\nAnswer: -3*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883414 is divided by 294462?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, i: 2}. Give prob of sequence io.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*r - 5*n + 66, 5*n = 3*r - 17. Suppose -7*b + 5*b = -r. Let h(u) = -6*u + 2*u**2 - 4 - u**2 - 4. Calculate h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(103\/(-1030)*2\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(36))\/sqrt(6) - sqrt(6))\/(sqrt(6)\/(sqrt(9)\/sqrt(3))).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 6310*n + 9954025\/2 = 0.\nAnswer: -3155\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 12. Let j be t(4). Let s = 11 - j. Is s greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.979 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*r - 10*r + 2*r + 2*r in the form f*r + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = r + r, -4*r - 22 = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 3. Let g(q) = -5*q - 6. Let k = -1120 + 1127. Give k*p(c) - 4*g(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8355.123 rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024123816 rounded to 6 dps?\nAnswer: 0.002412","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3217 - 1?\nAnswer: -3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 14*v + 8*v)*(-v + v - v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o*r*v - 3081061*o*r - 15*o*v - 180*o + 3*v - 28 with respect to r.\nAnswer: 10*o*v - 3081061*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 1, f: 1, r: 1}. What is prob of sequence gbr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/1260 - j**6\/720 + j**4\/12 - 3*j. Let h(l) be the third derivative of r(l). Give h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - 149.1. Let k = y + 167.7. Let h = -15 + k. Round h to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - (-16 + (13 - 23) + 5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 1057, 1651, 2313, 3067, 3937?\nAnswer: 4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-14) + 2\/14. Suppose 12*m - 14*m + 32 = a. Does 23 divide 161\/28*m\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/12*v**5 + v**2 - 5\/24*v**4 - 54*v + 0*v**3 + 0. Find x such that i(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 3*g**3 - 5*g**3)*(-3*g - g + 2*g) + 857049*g**4 - 428361*g**4 - 410799*g**4.\nAnswer: 17887*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h**3 + 176 + 12*h**3 - 176.\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, p: 1, f: 8}. What is prob of sequence fnfn?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 4*k - 10. Let b(r) = -r**2 - r + 3. Let i(h) = 11*b(h) + 4*t(h). Let u be i(-6). Let v = 92 + -95. What is the biggest value in v, -7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6559560 by 10412.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.22 - -9.12. Put 0.4, b, 0.03 in decreasing order.\nAnswer: 0.4, 0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -47366.1392 and -3.165.\nAnswer: -47369.3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033640249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -613, -1356, -2801, -5182, -8733, -13688?\nAnswer: -20281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 + 2*r**2 + 8*r. Let w(y) = -10*y**3 - 3*y**2 - 12*y. Determine 7*l(k) + 5*w(k).\nAnswer: -k**3 - k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -40920 divided by -6820\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/44 (b) 4 (c) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 545.9602 and -0.77.\nAnswer: 545.1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 188, -833, -5 in ascending order.\nAnswer: -833, -5, -0.2, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkljkc. Give prob of picking 1 k, 2 j, and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111140 * -2438.\nAnswer: 270959320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - -56. Calculate the remainder when x is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5345 - 0.542. Let w = 2 + 0. Let x = b - w. Round x to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197024687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35303 less than 708084?\nAnswer: 672781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 2*r + 4. Suppose -11*n = -7*n + 816. Let d = n - -209. What is l(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 35*j**3 - 2*j + 6. Let x be z(3). What are the prime factors of ((-2)\/(-6))\/(5\/x)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -57, -78, -99, -120?\n\"Answer: -21*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 8*c**2 - 6*c**2 + 33*c**2 - 7*c**2 - 13*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/30*((-23)\/(-138))\/(4\/234)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -342.82 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 - 227 = 282*a - 545 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367*c - c**4 + 19 - 367*c - 2*c**2 to the form d*c**3 + o*c**4 + v + z*c**2 + u*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*a - 265 + 271, 4*q + 11 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))\/r**(2\/17))**14 assuming r is positive.\nAnswer: r**(686\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q\/((q\/q**(1\/4))\/q))**45*((q\/(q*q**(-1)*q)*q)\/(q\/((q*q\/(q\/(q\/(q**(-3\/7)\/q)*q)))\/q)))\/(q**5*q\/q**0) assuming q is positive.\nAnswer: q**(-6057\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-26)*(-5)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63411846 and 1812?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/70 + x**5\/30 - 3*x**2\/2 + 1. Let a(q) be the second derivative of u(q). What is the third derivative of a(k) wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdxxedgsgxr. Give prob of picking 1 d, 1 x, and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/85334 at most as big as -0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222 (base 3) to base 12.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x**2. Let d = 19 - 18. What is the tens digit of r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/24 + z**3\/3 + 2*z**2. Let l be r(-8). Let y = 16 + -5. Is y != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15095 times -140.2?\nAnswer: -2116319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.394 minus 0.003?\nAnswer: 603.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 17865*t - 395450.\nAnswer: 5*(t - 22)*(t + 3595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 times 108206.25?\nAnswer: 649.2375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79552499 a multiple of 6125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:18 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3211648609 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/119)\/(6\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from juuuuujjjujj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 10*h**2 + 4*h**2 + 51)*(-4*h + 3*h - 3*h) in the form j*h**3 + r*h + d + a*h**2 and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/14)\/(3\/21). Let m(y) = y + 1 - g*y - y + 3*y**2 - y**2. Let x be m(1). Is 5 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 74190.\nAnswer: 74189.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 477.4751 millennia?\nAnswer: 5729701.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 2*s - 2. Let d = -4 + 4. Let w(m) = -4 - m + d + 3 - m**2. Let b(o) = -p(o) + 2*w(o). Let j(q) = 2*q. Determine j(b(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4) - 2)\/(14\/(-84)). Let s(b) = -b**2 + 4*b - 2. Let o(f) = 2*f**2 - 12*f + 5. Give j*o(z) + 8*s(z).\nAnswer: -2*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m - q, -3*q = -5*m + 15 + 13. Suppose 27 = 5*l - 2*f + 726, -m*f = -5*l - 690. Let z = -73 - l. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/7, -0.1, -30, -1 in increasing order.\nAnswer: -30, -4, -1, -3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, -1816, 2, -4 in decreasing order.\nAnswer: 2, -3, -4, -28, -1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 37 = -14*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/70 and 79\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17141, 34979, 52817, 70655?\nAnswer: 88493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*j**3*x + 129*i**2 + 2*i*x + 14*j**2*x wrt j.\nAnswer: 6*i**2*j**2*x + 28*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 894 + -864. Let a be 15\/(-9) - (172\/b - 6). Put a, -4, -0.3 in decreasing order.\nAnswer: -0.3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 87*y - 89*y + u, -4*y - u + 21 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18447 and -1.\nAnswer: -18447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1)\/2*(4 + -62). Let r be 1*(1*-37 + 0). Let k = g + r. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n + 276000. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 84. Let m be 6\/j + (-13)\/(-7). Solve m*f + 3 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 1432 + 1372 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 568, -1612, -21, -5 in ascending order.\nAnswer: -1612, -21, -5, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/54)\/((-2)\/(-24)*1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 4*sqrt(637))**2 + (-3*(-4 + -2 + sqrt(1872) + sqrt(1872)))**2.\nAnswer: -2536*sqrt(13) + 77909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwiii. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*c, -6*c + 3*c = 2*m + 26. Let k = c + 8. Suppose h - k*h + 10 = 0. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167883448 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 25 + 10 = 0, -3*y + 28 = -5*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.099 times -17.1284\nAnswer: -1.6957116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 35*f**2 + 33*f + 81. What are the prime factors of n(34)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 37. Let m(u) = -9*u**2. Give r(m(p)).\nAnswer: 81*p**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195*i*t**2 + 33938*i + 574*t**2 - t - 412 wrt i?\nAnswer: -195*t**2 + 33938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let y(l) = 5007004*l**2. What is y(p(q))?\nAnswer: 20028016*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 - (-305)\/35 - -4. Suppose -12*d + m*d + 5 = 0. Sort 0.4, d, 2\/15.\nAnswer: d, 2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123 + 123 + 11*u)*(5*u - 2*u**2 - 5*u) - u + u**3 - 3*u + 3*u to s + f*u**2 + h*u**3 + r*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1 - h + 11*h**3 + 0*h**2 + 2*h**2 - 3*h. Suppose -18 = -4*y + 2*g, -61*g - 6 = 2*y - 59*g. What is the tens digit of t(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4184814.2 to the nearest ten thousand.\nAnswer: -4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31a (base 12) to base 7\nAnswer: -1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -14 - (-60)\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 7, x: 5, y: 1}. What is prob of picking 1 x and 2 a?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4387*u = 4453*u + 1320 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11367, -2, 6, 3 in descending order.\nAnswer: 6, 3, -2, -5, -11367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -0.1 (c) -1\/9 (d) 2\/83 (e) -1692\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 12) to base 7\nAnswer: -2442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*x + 5*g + 21, 0 = -4*x - 5*g + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or -148497\/20?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -70 + 7 + 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o - 14. Give k(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by (2\/30)\/((-13)\/(-507))*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51760739 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8) + (4 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39897916 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -16*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - 5 - (43 - 51).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 4 (c) -5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 2*n**2 + 4*n**2 - 9*n**2 + 6*n to the form r*n + s*n**2 + h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 32*a**3 + 32*a**2 - 384*a - 576.\nAnswer: -4*(a - 6)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.18 + -1.151. Let a = -0.029 + n. Which is bigger: 1.5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b - 5*b - b - 1 + (3*b - 3*b + 2*b)*(-1 - 1 + 3).\nAnswer: 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/8)*k*k\/(k*k**(2\/7))*k)\/(k**(-11)*k*(k\/(k\/(k**(-3)\/k)))\/k))**(-18) assuming k is positive.\nAnswer: k**(-8613\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 950440 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7990 and 1410?\nAnswer: 23970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17685 + 21507. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -14*i + 12. Suppose -48 = 15*d - 11*d. Let o = d + 14. Solve -i*h + 0*h - 2*l + 4 = 0, -l - o = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 0.7.\nAnswer: -42.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 625 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(125) - (sqrt(125) + (sqrt(125) + 0)*-1)) + -3 + -2*sqrt(125) + 3*(sqrt(125)*2 + sqrt(125)))**2.\nAnswer: -120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 29*f + 4. Let r(y) = 57*y + 9. Suppose -9*o + 7*o = z - 2, z - 3*o + 13 = 0. Determine z*r(h) + 9*a(h).\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 10. Let t be g(-6). Solve 0 = t*b - 4*d, 2*d - 2 = b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-162)\/10 - 36\/(-30). Let n be 1\/((-5)\/y) - -1*6217. What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ba - 1a1?\nAnswer: -96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.262 - -41.462. Let f = 41 - r. Which is the third smallest value? (a) f (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 33 = -4*p + 4*n, 5*n = -4*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**3 - 8*x**2 - 269*x + 276. Give j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(5632\/(-11)))\/((-1)\/2).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:08 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6487.23 - -73.679.\nAnswer: 6560.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 7*i**3 - 3*i**3 - 12422*i**2 + 1 + 12423*i**2 as l + k*i**3 + g*i**2 + j*i and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834609 greater than or equal to 1834624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 902 and 33.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01579 + -0.01578103. What is k rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkkinnanklv. Give prob of sequence nnl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/7 - (-2)\/(-7). Let f = 4.43 + 0.47. Let j = f - 1.9. Which is the smallest value? (a) z (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**3*p**3 - 2*h**3*p + 862192*h**3 - 3*h**2*p**2 - 3*h*p - p**3 - 5*p - 19229 wrt h?\nAnswer: -36*p**3 - 12*p + 5173152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 413*d - 115*d - 32*d + 429*d - 126*d**2 + 128*d**2 as p*d**2 + i + u*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - 8 - 1*-27. Suppose -2*k - k - 2*d - b = 0, 0 = 4*k - 3*d + 33. Let h(r) = r - 1. Let q(w) = -5*w + 16. Let a(p) = 6*h(p) + q(p). Give a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-121))\/((-15)\/330)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 + 2*y + 8. Let i be t(-7). Let g(h) = h**3 + 7*h**2 - 4*h - 4. What is the units digit of g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/28*294\/(-13965)*-114?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 120 - 124 = 0. Solve 0 = 3*w - 3*c - 6, -2*w + 4*c - p = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*j - 4, -5*j - 3*n - 53 + 58 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -619 + 618.199. Let l = 0.8 + x. What is l rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g + 4*g**2)*(-810*g + 212*g - 512 + 512) as t*g**3 + i + r*g**2 + b*g and give t.\nAnswer: -2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1018769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 41*x - 5*x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 - r**3\/3 - r**2\/2 - r + 6. Calculate i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.098 + -0.052. Sort 2, k, 2\/3, 4 in decreasing order.\nAnswer: 4, 2, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 81?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 73 = -2*a, -4*k - a + 0*a + 59 = 0. Solve -4*h = h - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Suppose -3*l = h*x - 4*l - 81, -l = -4*x + 65. Let o = x - 7. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-13)\/(-17 - 9). Which is smaller: -4\/873 or z?\nAnswer: -4\/873","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*d**3*x**3 - 544*d**3*x**2 + 5*d*x**2 - 9*d - 280*x**3 wrt d.\nAnswer: 138*d*x**3 - 3264*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {h: 1, k: 13, g: 3}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55876933?\nAnswer: 7, 457, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 2340*u**4 - 158604*u**3 - 461762*u**2 - 457077*u - 151578.\nAnswer: (u - 2406)*(u + 1)**3*(u + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 36*l = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 82224.\nAnswer: 411120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -11, 488, 12, 5.\nAnswer: -11, -2, 3, 5, 12, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 606*y - 1216. What is l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6082101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225532?\nAnswer: 2, 56383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 3 - 7. Let k(i) = i**2 - i. Let f(l) = l**2 - 2*l. Calculate a*f(y) + 2*k(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358 - 248. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*f + 2*o = -646*f + 23, 5*f = 14*o - 151 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59818 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254841, 1019374, 2293595, 4077504, 6371101, 9174386, 12487359?\nAnswer: 16310020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 334177 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 6) to base 8\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22722 and 1698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2. Let u(m) be the first derivative of 0*m - 4\/3*m**3 - 4 + 0*m**2. Determine u(r(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -7. Let m = -6 - o. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 21*s**2)*(9 - 1 + 0).\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20585?\nAnswer: 5, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2 - 4 - 15*a + 14*a - 10. Determine f(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5365 + -5362. Let g(i) be the first derivative of 7*i - i**2 + 5\/3*i**k - 50. What is the first derivative of g(v) wrt v?\nAnswer: 10*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 15. Let x be b(-5). Let c(s) = x*s - 9 + 6*s - 3*s + 6*s**2. Is c(3) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, z: 3, t: 3, i: 3}. Give prob of sequence yii.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 - -120. Sort -5, -8, 4, l in increasing order.\nAnswer: -8, -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -26*b + 7. Let t = 17 + -22. Let l be g(t). Suppose -4*n + l = 1. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23021010110 + -10?\nAnswer: -23021010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-32)*28\/6. Let d = -9.2 + 9.24. Which is the biggest value? (a) d (b) h (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364 + 35. Suppose 7*u + 0*u = z. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -3. Suppose 3*v - p = -3*v. Solve -t - v = -3*a - 2*a, 5*a = -5*t + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/2 - 13629*g\/2 + 7016880 = 0 for g.\nAnswer: -5408, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/(-9)*(-4)\/(-16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-18))\/(13\/(-117)). Let q = -0.3 - -0.1. Let u = q - -0.2. Sort s, u, -5.\nAnswer: -5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 1 - 17. Suppose -t*w + 880 + 32 = 0. Suppose -5*j - 12 + w = 0. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(-2\/11)*g\/(g\/g**1)*g**1 assuming g is positive.\nAnswer: g**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60830)\/(-198) + ((-2)\/9 - 0). Let v = o - 142. Suppose -v = 5*q - 260. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5124 and 1061949?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/6 + 100*n\/3 + 202\/3 = 0.\nAnswer: -2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(16*n + 2*n - 9*n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/4 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 4*t**2 + 2*t + 1. Calculate s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let y(o) = 27132*o - 1. What is v(y(u))?\nAnswer: -736145424*u**2 + 54264*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h. Suppose -2*c + 1 + 3 = h. Solve -c*v - 9 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 f when four letters picked without replacement from {f: 6, r: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 964789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -317 - -277 - (-1 - (4 - (-2 + 2)) - -2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - sqrt(133)*-4*-5) - ((sqrt(133) + sqrt(133) + 4*sqrt(133)*5 - sqrt(133)) + sqrt(133)))\/(sqrt(28)*2*1*2).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 195.8. Let j = 9.8 + l. Is j != 34\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*t + 5 = 0, -5*t + 3*t + 5 = -w. Solve 0 = z - w*g - 8 - 6, -g - 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 4*q + 3. Suppose 1 + 3 = 2*o. Let y be v(o). Let r(p) = 3*p - 4. What is the units digit of r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 692*c + 3804*c - 1357*c + 3743*c + 1054*c in the form l*c + g and give l.\nAnswer: 7936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14577449 * 0.2\nAnswer: -2915489.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -845, -843, -839, -833, -825, -815?\n\"Answer: u**2 - u - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, k: 6, b: 3, u: 3}. Give prob of picking 2 k and 1 u.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42197521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 706231 * 0.14\nAnswer: 98872.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let v(j) = 2*j**2 + 51*j. Give c(v(y)).\nAnswer: -4*y**2 - 102*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 547 - 547.9906. Let l = -0.0094 + r. Which is the closest to -2? (a) 2\/15 (b) l (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 523530.3 nanograms?\nAnswer: 0.0005235303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -3 - -2) + -2. Let l(u) = 7*u + 3*u + k*u - 2*u. Let m(g) = g**2. Calculate m(l(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b - 150*b**2 - 52*b + 22*b + 6*b.\nAnswer: -150*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 403.79 - 413. Let k = z - -0.01. Round k to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q - 41. Let m be n(-5). Let 11*o**3 - 12*o + 6*o**m + 2*o**2 - 123 + 241 + o**5 - 126 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 31 = 191. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose u = y + 17 - 43. List the prime factors of 100\/y - 4\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*d = -144, -d = -6*t + 3*d + 286. Suppose -24 = -7*q + 4*q. Calculate the remainder when t is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15) - (-3)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.76853ms in days?\nAnswer: 0.000005610746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 + -116 - (13 + (-748)\/(-11)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1)\/(sqrt(12)\/sqrt(54)).\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 3415*s**2 + 203360*s - 3530100 = 0.\nAnswer: -615, -82, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 13 + -27 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1414882 - 53?\nAnswer: -1415045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18752 + -18757. Let i = -0.2 + 0.1. Which is the biggest value? (a) -26 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 195 = 3*s + 3*x, -x + 123 = 2*s. Suppose s = -5*y + 5*k, 10 = -3*k + 4. Let f = 29 + y. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -8*v**3\/3 + 2304. Let i(a) = -3*a + 17. Determine w(i(g)).\nAnswer: -72*g**2 + 816*g - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155\/4)\/(((-647125)\/(-1860))\/835).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19\/42 - (-13)\/(-78)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(80))**2 + sqrt(80).\nAnswer: 4*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 - 1) - 0. Let s = 46 + o. Let c = s - 29. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*n + 35, -5*b - 1650186 = -3*n - 1650151 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1632 and 622965?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/466475?\nAnswer: -1\/466475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.42 + 0.22. Which is the nearest to -1? (a) 2\/7 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180737 - 180737 - 64*b - 4 - b + 17*b + 1 + 3 + (0 + 1 + 0)*(-b - 4*b + 3*b) as c*b + u and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1\/1192923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -621.3 times 44\nAnswer: -27337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 28 = -32. Let q = 47 - 45. What is the third derivative of 106*v**5 - 8*v**z - v**q - 120*v**5 wrt v?\nAnswer: -840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + (-4)\/6. Let a be (-4)\/(4\/(-2)) - r. Let u = -55432 - -55426. Sort -1, a, u in increasing order.\nAnswer: u, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17954 is divided by 940?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 16) to base 5\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3450434 bigger than -3450154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9906\/381 + (1 - -6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6859, 13807, 20755, 27703, 34651, 41599?\nAnswer: 48547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, 27, 70, 93?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 88. Suppose 4*z - 6*z + y = 0. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -0.4 (c) -1 (d) 18 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 80*i + 1209 = 0.\nAnswer: -13, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -374, -422, -458, -446, -350?\n\"Answer: 6*m**3 - 30*m**2 - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - 0.9. Let u = 4 + -4.1. What is the closest to u in 0.5, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-14)*(-14)\/(-2). What is the first derivative of -5 + 17 + 29*y**4 - 31*y**d wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**2 + 2*j + 16. Let m be f(-5). Solve m = 4*h, -4*l = -l + 3*h - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/20 + (-1)\/(-5). Let l(u) = -u**2 + 7*u - 4. What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 7, e: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 323505?\nAnswer: -323511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 620152\/15 - 12092917\/240. Let k = x - -9049. Calculate the common denominator of k and -37\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 3*k - 5*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from aaiwiei.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 347*c**2 - 7*c + 10. Let q be j(2). Suppose 4*w = 541 + 395. Let i = w + q. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/2*(-4)\/(-6)*(-1302)\/868.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) -0.2 (c) 1653 (d) -5 (e) 0 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**4\/16 + 1523*k**3\/12 + 535*k**2\/2 + 153*k - 584. Factor d(m).\nAnswer: -(m - 306)*(m + 1)*(5*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f - 39. What is m(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let k(a) = 1138*a**2 - 321*a**2 + 588*a**2. What is k(u(i))?\nAnswer: 5620*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45 + (-18328)\/(-395))\/(7\/30))\/((-2)\/(-38))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/13 (b) 1 (c) 518 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95538?\nAnswer: 2, 3, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -107, -169?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + 110*(-504)\/720?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 19\/((-228)\/(-24)). What is the biggest value in y, -1.1, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2011001202?\nAnswer: 2011001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.56 and 22.2.\nAnswer: -656.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*l + 16, f + 5*l = -31 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 + 219. Let d be (p\/144)\/((-2)\/(-24)). Solve -2*t = d*l + 1, 4*l = l + t - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 417. Let o = 964 - k. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 7*z + 5. Let u be (-104)\/16 + (-2)\/4. Let w be 0 - 1 - (u - -1). Let m be y(w). What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 40, 86, 150, 232, 332, 450?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 36 = -36 + 72. Let q(t) be the first derivative of -14 + h*t + 0*t**3 + 1\/2*t**2 + 9\/5*t**5 + 0*t**4. Find the second derivative of q(z) wrt z.\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -32*q**2 + 2*q + 1. Let o(b) = 10*b - 21. Let d be o(2). Give l(d).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 2. Let t(i) = -3*i**2 - i - 3. Let x(b) = 3*t(b) + 5*v(b). Let a be x(3). Suppose 5*f - a = -821. Round f to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n + 293 = d + 28*n, -3*n + 283 = d. Calculate the remainder when d is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2177 and -6.\nAnswer: -7.2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 69\/69 - (1 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27*d - 1. Let l(j) = 325*j - 12. Calculate 6*l(o) - 75*z(o).\nAnswer: -75*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m - 3*m)*(-90066 + 90066 + 6094*m) to s*m**2 + h*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyykykyk. Give prob of picking 3 y.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2137.5 + -2288.652. Let h = w - -151. What is h rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khohohddoskshshsoko. What is prob of sequence sos?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 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: Let p(z) = 2*z + 6. Suppose 10*q - 9*q + 6 = 0. What is p(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4721, -4716, -4717, -4730, -4761, -4816, -4901, -5022?\n\"Answer: -k**3 + 3*k**2 + 3*k - 4726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177628186?\nAnswer: 2, 88814093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 8*g. Calculate the lowest common multiple of g and 124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3815805 millilitres to litres.\nAnswer: 0.0003815805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 8. Let g be (3075\/(-21))\/(-25) - (-30)\/14. Sort u, 3\/7, g in decreasing order.\nAnswer: g, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -961 in -0.5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*z**2 - 584 + 152*z**2 + 584.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 13*r**2 + 12*r. Suppose -62 - 19 = 4*o + 5*c, -2*c = -o - 17. Let x = o + 9. Let t be w(x). What is the greatest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + m**3)*(m**2 - 2 + 1 - 3*m**2) + (2*m**4 - m**3 + m**3)*(288*m + 327*m + 345*m).\nAnswer: 1916*m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times -3?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let g(l) = -1 + 5 + l - 41368*l**u - 396132*l**2. Let h be g(-4). Round h to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - 2. Let j = -49 - -36. Let z = -18 - j. Sort 5, p, z.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*4\/(-168)*(-3)\/(-2). Let s be -2*(0 + 1)*(-28)\/8. Suppose 0*w - s = w. What is the fourth smallest value in 3, h, w, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224744 is divided by 18728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 - x - 1. Let z be 3\/(-5) + 39\/65. Suppose z = r - 2. Calculate the remainder when u(-4) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 37703635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5609.407t to nanograms.\nAnswer: 5609407000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -204884 and 44189.\nAnswer: -160695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 1281.14?\nAnswer: -16654.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0940244 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 11. Suppose -4*p + 5*p - 9 = z, 0 = -2*p - z + 6. What is the second derivative of u**s - 7*u**3 + p*u - 2*u + 2*u**3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 5, i: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 2 - 2 + (-3 + 0 + 0)*(3*q - 6*q + 4*q + (q + 4*q - 4*q)*(3 - 1 - 1) + 4 - 4*q - 4)*(-12 - 1 - 42) to k + r*q and give r.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/6*w**4 + 10\/3*w**3 + 9*w + 0 + 25*w**2. Factor s(j).\nAnswer: 2*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -31, 7\/6, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b**2 - 3109*b - 94856. What is y(-43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let k = -2.9 + t. Is 0.2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.012916 or -3?\nAnswer: -0.012916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -164*r**3 - r**2. Let j be v(1). Let x = -346337\/56 + 50799\/8. Let o = j + x. Which is the nearest to o? (a) 0.3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 4*z + 92, -z = -2*n + 27. Suppose -5*c - 4*p = -222, 5*c - 3*p = -6*p + 219. Let b = c + z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1327892, -5311347, -11950426, -21245123, -33195432, -47801347?\n\"Answer: u**3 - 1327818*u**2 - 8*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18354 = -12*k - 1818. Does 106 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - (-6 - (6 + 1))) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**3 - r**2 - 34*r + 75. Determine b(3).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2020\/(-120) + (-1)\/2 and 121\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19205 and 5290?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10*-2)\/(((-28)\/20)\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0663 * -4.\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-8\/3))**10 assuming q is positive.\nAnswer: q**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, 3, -0.9, -0.5, -18 in ascending order.\nAnswer: -18, -0.9, -0.5, 4\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 20 = -5*u, -4*q = -q + 4*u - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 + 209. Suppose 6*u = 3*u - 5*n - 30, -3*n = -3*u - 6. Put 5, o, u in descending order.\nAnswer: 5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/41, -2, 124, 2\/11, 0, 19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 7. Let c(g) = 3*g + 8. Let x be (1 - (-28)\/21)\/(1\/(-3)). Determine x*o(f) - 6*c(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.03, 5, 1 in descending order.\nAnswer: 6, 5, 1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 8:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6))**(-2\/9)\/((g**(7\/2)*g)\/g)**(1\/41) assuming g is positive.\nAnswer: g**(-107\/2214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(8\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -116. Calculate the smallest common multiple of 3 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttxv. Give prob of sequence vt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -238785 (base 10) to base 5\nAnswer: -30120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7089956 = -48689956. Suppose f + f + a = 0. Round f to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47902709 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 147369?\nAnswer: 1473690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 7, u: 1}. What is prob of sequence uy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-2 + 10\/6). Suppose 6 = 2*b + b. Suppose -b*r + 3*t + 18 = r, 4*t + 10 = -3*r. Are c and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207790, -207828, -207866, -207904, -207942?\nAnswer: -207980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - (-2*(1 + sqrt(3))**2 - sqrt(3))).\nAnswer: -12*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -3. Let t be 4\/6 + (-116)\/r. Suppose -3*o + 12 = 0, 2*o - 6 = -5*y + 2. Solve y = -3*b + 8*b - t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43 + 0.07. Let l = 114 + -568\/5. Let g = 38 + -191\/5. Which is the closest to l? (a) -3 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3551330 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9497 is divided by 213.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b - 13. What are the prime factors of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3 - 317219*c - 2*c**2 - c**3 + 634426*c - 317210*c. Let s(k) = 2*k**3 + 3*k**2 + 7*k + 7. Give 14*g(h) + 6*s(h).\nAnswer: -2*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 80. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30313201100 (base 4) in base 3?\nAnswer: -20100101001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 56*w + 632. Give c(-8).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -930, -1866, -2978, -4152, -5274?\nAnswer: -6230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5729, 4882, 4035, 3188, 2341?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*l + 4 = 0, s + 8 = -5*l - 6. Let n be (-4)\/(-6)*(s + -4 - -6). Suppose -15*b = -n*b - 793. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -25. Suppose -56 = 2*q - b. Let k = -15 - q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*j - 662 - 388 = 185*j + 102*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 24*g + 40.\nAnswer: 2*(g + 2)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.9 - 14.8. Let i = 6 + g. Is i at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403734469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i, -i + 5 = n + 1. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 37. Suppose i*a = 60 + 20. What is the lowest common multiple of 12 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 225 = 20. Let g be (-2 + (-1)\/2)*(-28)\/m. Let u be (-6)\/4*g\/3. Solve -t + w + 3*w = -u, -5*w - 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i + 5. Let a be y(5). Let s(k) = 4*k + 3. What is the units digit of s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/4)*r)\/r**(-3\/2)*r**(-1\/3)*r*((r**(1\/2)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.244 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, 0.5, -9\/65, -1, -1\/69?\nAnswer: -9\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43002228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55022943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 682 - -2522. Let v be x\/162 + (-2)\/(-9). Suppose -i = -2*u - 148, -3*i - 2*u + 479 = 67. Calculate the greatest common divisor of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 325464*b**2 - 16932240*b - 220154272.\nAnswer: 4*(b - 81418)*(b + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/20 - 5*v**4\/3 + 19*v**3\/6 + 21*v**2\/2 + 8*v. Let g be u(19). Calculate the greatest common factor of g and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g + (4 - 5 - 1)*(-g + 3 - 3) - 4*g - 2 + 2)*(4*g**3 - 8*g**3 - g**3 + (-7*g + 4*g + g)*(0*g**2 + g**2 - 3*g**2)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 11*z**5\/5 - z**2\/2 + 48*z + 14. Differentiate i(y) with respect to y.\nAnswer: 44*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 11*l + 12 = 4*h, 5*h + 2*l + 166 - 202 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 290564920 to the power of 1\/2, to the nearest integer?\nAnswer: 17046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -23. Let m = j + -8. Suppose -m*u = u - 69. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 101, 171, 253, 347, 453?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 530933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*z + 7 - 1 - 341*z + 5 - 11.\nAnswer: -219*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**6\/120 - i**4\/6 - 2*i**2 + 2. Let k(p) be the second derivative of l(p). Find the second derivative of k(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let i be p(1). Let u(g) be the second derivative of g**3 - i*g**2 + 0 - 1\/6*g**4 - 3*g. Find n, given that u(n) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250 (base 7) to base 13.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47605, -95181, -142739, -190279, -237801, -285305, -332791?\nAnswer: -380259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.45+14\nAnswer: 18.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 + 10. Let o be t(-7). Let q be (-4 + -6)*(-4)\/o. Suppose -3*n + q*n = 3. Calculate the smallest common multiple of n and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a4a89 + 145?\nAnswer: -2a4944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -76, -64, -36, 14, 92?\n\"Answer: j**3 - j**2 - 2*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2838.078ml?\nAnswer: 2.838078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4958*m + 6. What is the tens digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -45\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 6332138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63142 + -36814. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 59 + 46*u as a*u + k and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 8, 2*s = -0*t + t - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**2\/v))**(-32) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/21384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 + -122. Let n be (0 - (-3 + 1)) + -2. Suppose j + n*j - 2 = 0. Calculate the smallest common multiple of j and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144963557 to the power of 1\/2, to the nearest integer?\nAnswer: 33837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (402*s + 3 - 3 - 2876*s)*(-2*s**3 + 2*s - 2*s).\nAnswer: 4948*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 1. Suppose 5*y = -1 + 6. Let u = y - -2. Let j be n(u). Solve 2*h + 4 = -i + 3*h, j*i + 4*h = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/20*3*-1. Let i = -43\/20 + y. Which is the fourth smallest value? (a) -0.3 (b) 4 (c) i (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q - 1644. Calculate w(58).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - 10 - (-555624)\/(-90)*(-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 603*f*l**2 + f*l + 1122*f - 2*l**2 - 2*l wrt l?\nAnswer: 1206*f*l + f - 4*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**2 - 10*l**2 + 22*l**2 + (-3 + 3 + l)*(1 - l - 1) - l**2 + l - l + (3 - l - 3)*(-l + 0*l + 2*l) + 2*l**2 - l**2 - 2*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (-1 - 0) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 28124 = -44*i + 43*i, 4*i = -2*o + 28112. What are the prime factors of o?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1454\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 21*m = 0. Suppose r + m*r = 481. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/4 + 82257597 - -4*1. Suppose 7*f - 75969240 - 171533967 = 0. Let l = z - f. What is l rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(42) + sqrt(42))*6)\/(-4*3*sqrt(6)))**2 - ((1*sqrt(84)*-1 - sqrt(84))\/(sqrt(36)\/sqrt(3)*4))**2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 0*p + 4. Let n be -23998 + 1\/p + -1. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6446 + 8012. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 116 - 119)*(-5 - 2 + 4)*(-l - l + l)*(4 - 3 + 1).\nAnswer: -1554*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2. Let z(i) be the first derivative of 2*i**3\/3 - 10*i + 3396. What is l(z(d))?\nAnswer: 20*d**4 - 200*d**2 + 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47.3. Let m = 0.06 - 3.06. What is the third biggest value in 0.9, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k + 26. Let n be v(-11). Let c(x) = -x**2 - 10*x - 9. What is the remainder when 16 is divided by c(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -27*t - 25*t - 22 + 53 - 22. List the prime factors of h(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 6 + -1 + -2. Suppose 5*p + 0*p - 25 = c. Sort p, -5, -1 in increasing order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03800053 - -0.038. What is o rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1502 + 13520\/9. Which is the closest to h? (a) -0.1 (b) 1\/3 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, 1022, 0, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/684 and -91\/20406?\nAnswer: 122436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -2\/5513, 2, 1.9, -5?\nAnswer: -2\/5513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*1666\/(-714)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 2*b - 4. Let q be f(-4). Let m = -340.6 + 340.5. What is the third biggest value in q, 5, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -4*i + 42*i. Suppose 0 = -4*f + i*q + 549, -q = -7 + 8. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 0, o - 10*l - 14 = -6*l. Let t = 0.19 + 0.15. Let m = 0.06 + t. Put -3, m, o, 2\/7 in decreasing order.\nAnswer: m, 2\/7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1393*s**2. Let o(u) = -33*u**2 + u + 1. Let h(d) = 60*d**2 - 2*d - 2. Let f(n) = h(n) + 2*o(n). Determine f(i(m)).\nAnswer: -11642694*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327816866?\nAnswer: 2, 13, 73, 172717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 - 100?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**5 + 4688*n**4 + 114856*n**3 + 178304*n**2 - 719948*n + 422096 = 0.\nAnswer: -1147, -23, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*x + 64*x - 4*x**2 + 55*x + 5*x**4 + 9 - 2*x**3 + 1 - 7*x**4 in the form c*x**3 + a + r*x + j*x**2 + v*x**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 108. Let d be a(9). What is the greatest common factor of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -76, -116, -162, -214, -272, -336?\n\"Answer: -3*x**2 - 25*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*j + 32, -11*j + 7*j + 7 = -3*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15792 (base 11) to base 2\nAnswer: 101011011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 572\/(-484)*11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z + 5*z. Suppose z = s - 0*s. What is the second derivative of 2*i**2 - 2*i + 3*i**2 - s*i**2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let v(i) = -i**2 + 7*i + 14. Let t(u) = -24*m(u) - 3*v(u). Let r be t(-6). What is the greatest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a22 (base 13) to base 8.\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + (-6 - -12) - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-70))\/(100\/250))\/(1\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44\/15 in 141, 79, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4584 is divided by 972.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 22 + 46 = 0. Suppose -h*a + 2*v = -1230, -5*a + 2*v + 1957 = 421. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 20*x = -6700. Is x a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*y - 2*y**2 - 26*y + (-2*y - y + 2*y)*(1 - 1 + 2*y) + y - y + 6*y**2 - 2*y + 3*y - 1 + y**2 - 7*y in the form m + c*y + x*y**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265425555*s**5 + 116083829*s wrt s.\nAnswer: -5308511100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 5. Let x(p) = 1. Let t(q) = 6*x(q) - y(q). Let l be t(1). Suppose -25 = 2*s + 4*u + 5, 5*u + 25 = 0. Sort l, s, -3 in decreasing order.\nAnswer: l, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 1674024*a + 1401178176288.\nAnswer: (a - 1674024)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24540884 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2727, 4479, 6231, 7983, 9735, 11487?\n\"Answer: 1752*b + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/3803 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-67 + 63 + (-4 - -1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 6.4?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a*o**2 - 31*a*o + 13603*a - 79*o**2 + 8*o - 109 wrt o?\nAnswer: -10*a*o - 31*a - 158*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.54271 centuries in decades?\nAnswer: 535.4271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -943\/102 - -194\/17. Let d(q) be the second derivative of -k*q**3 + 0 + 2\/3*q**4 + 0*q**2 + 2*q. Find the second derivative of d(l) wrt l.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -4\/3*z**6 - 11 + 0*z**4 + 0*z**3 + 0*z + 0*z**5 - 8*z**2. What is the second derivative of p(q) wrt q?\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 4132656\nAnswer: 128112336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*d = 4, -2*d + 4 = -113*r + 109*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -97.\nAnswer: 8\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 22) + 7 + 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 40. Let v be (-42)\/(-105) - (-1 - r\/(-5)). Factor v*c - 6\/5 + 3\/5*c**2.\nAnswer: 3*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - y + 1 = 2*y, 3*t + 36 = -2*y. Sort 4, -5, t in descending order.\nAnswer: 4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 49. Let d be (l\/45)\/((-8)\/30). Are -2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6568, 26175, 58838, 104545, 163284, 235043, 319810, 417573?\n\"Answer: -2*h**3 + 6540*h**2 + h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 1124980\/(-192) + 1\/(-6). Let v = d - -5859. What is the common denominator of -25\/16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153176 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4220 and 219260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(343) - ((sqrt(343) - (-4 + sqrt(343))) + 2)**2) + -5*(sqrt(343) - (sqrt(343) + sqrt(343) + sqrt(343) + -2))**2 + sqrt(343).\nAnswer: -6915 + 294*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39, -41, -41, -39, -35, -29, -21?\n\"Answer: o**2 - 5*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3248 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + b = 4, -5*m + 52*b - 48*b - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 318 - 3*j**3 + 103 + 106 - 6*j**2 + 106 to p*j**3 + s*j + b + z*j**2 + c*j**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 32*h**2 + h + 2. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + k**4 + 2*k**4 + (0*k**3 + 2*k**3 - 4*k**3)*(-2 + 2 + 2*k) + 2*k**4 - 4*k**4 - k**4.\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 603742080*t**2 - 18225225561878385*t - 36450448708788490.\nAnswer: -5*(t + 2)*(t + 60374207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 206, 203, 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (4*(-1 + sqrt(2736) + -4)*1)**2).\nAnswer: -88358 + 3840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -26 - 11) + 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**4 + 321*w**3 - 126*w**2.\nAnswer: -3*w**2*(w - 21)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -728*m**2 + 783338*m - 10755. Give z(1076).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*b - 86*b - 81*b = 5*y - 22, 5*y - 25 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Let h be (-21)\/(-35) + (-1 - j). Let x = 6.1 - 6. What is the closest to -0.1 in x, h, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5 + 185*o**4 - 405*o**3 - 545*o**2 + 1540*o - 780 = 0.\nAnswer: -39, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332, 5, 1030, -15 in increasing order.\nAnswer: -332, -15, 5, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.03. Let q = 0.33 + n. What is the biggest value in q, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zespzczqesqqe. Give prob of sequence esc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(-j**2 + j**3 + j**2) + (3 - 2 + 0)*(5*j + 2*j - j)*(0 + 0 + j**3).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 54*q**2 + 0 - 1.\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Suppose q*d - 36 = -2*d. What is the least common multiple of (-4)\/(-5)*55\/2 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1127.2 - -1144. What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -23, -2 in decreasing order.\nAnswer: -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwqjfqqiwjqijq. What is prob of sequence iqe?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -6*u. Suppose -u = 3*a - 4. Put -1, 2, a in ascending order.\nAnswer: -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/20 + (-324)\/(-15). Suppose 3*w - u = -h + 6*w, -h = 3*w - 3. Let q = -24 + 42. Calculate the greatest common factor of q and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 266634 * -3.\nAnswer: -799902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 20. Let w(b) = b**2 + 5*b - 25. Let l(a) = -5*j(a) + 4*w(a). Let q(r) = -121*r**2. What is q(l(n))?\nAnswer: -121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 65*v + 246. Give o(-6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91\/6, 16, 101, 0.2, 2, 28 in ascending order.\nAnswer: -91\/6, 0.2, 2, 16, 28, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -681801*c + 1003062 with respect to c.\nAnswer: -681801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2603*d**3 + 4 - 4.\nAnswer: -2603*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14281\/23 + -621. Which is the smallest value? (a) 2\/15 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53724271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 13, -22, -91, -206, -379?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 2*l, 4*l = -s - 2*s + 16. Is -5\/6 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -260 - -441. Let a = r - 179. Put 0.4, 17, -1, a in descending order.\nAnswer: 17, a, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 5*f**2 + 6*f + 2. Let h be m(-4). Let s be (-14)\/(-3)*63\/(-14). Let g = h - s. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16761, 33876, 50987, 68094, 85197?\nAnswer: 102296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2480.42596 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*(26 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 3*t. Suppose 2 + 2 = r. Suppose -16 = -0*j + r*j. Let p = j - -7. Calculate q(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 6*s - 18. Let p be y(4). Let j be (-9)\/((-1)\/(56\/21)). Put 2, -3, p, j in increasing order.\nAnswer: -3, 2, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 - 2*t - 17. Let v = -30 - -30. Let c be f(v). Let w be c\/136 - 5282\/(-16). Calculate the greatest common factor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (380\/(-30) - -12)*-4575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 0*m + (-2*m + 0*m + m)*(-4 - 3 + 5) - m - 2*m + 5*m + 3*m + 2*m - 3*m)*(1 + m - 1)*(-44*m**2 - 2*m - 177*m**2 - 222*m**2).\nAnswer: -3101*m**4 - 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 5*n = 0, -2*o + 2*n = 0. Let d(w) = w**2 + 13700000. Let s be d(o). Round s to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 6. Let p be d(6). Let g(t) = t**2 + 2*t + 8. Calculate the remainder when 23 is divided by g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10192*o. Let a(g) = 70*g**2 - 17. Give r(a(t)).\nAnswer: 713440*t**2 - 173264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 64. Let j be 1 + ((-15)\/13 - 0). Which is the third biggest value? (a) 4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let l(f) = f + 5. Let i be l(r). Suppose 2*c - b = 10, -2*b + i = c + b. Solve -3*g - 3 + 6 = -3*w, 0 = -3*w - g + c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13008 - 9) + (-13 - (10 - 17)).\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-51))\/((-2)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*y**2 - 5*y + 224.\nAnswer: -24*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94525914 is divided by 19291?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q + 0*q)*(-2 - 9*q**4 + 2) + q**5 - q**5 - q**5 + 2*q**5 - 2*q**4 + q**4 + 2*q**4.\nAnswer: -26*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 790529687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 2*a + 2*a - 3*a**2 + 3*a**2 + a**2 + 4*a**2 - a**2 - 5*a**2 + (-4*a**2 - 2*a**2 - 3*a**2)*(-5 + 3 - 6) in the form x + z*a + n*a**2 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 3343864?\nAnswer: 3343880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 1, 5, -173, -2 in decreasing order.\nAnswer: 6, 5, 1, -2, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 4560.18\nAnswer: -36481.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 2652*j**2 - 410400*j - 9824976.\nAnswer: -4*(j - 342)**2*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 51741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2940.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(396) + (sqrt(396) - (sqrt(396) + 3)*3) - (-3 + 6*2*sqrt(396)*-5))**2.\nAnswer: -1980*sqrt(11) + 1197909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - 11*d**2 + 2 + 19*d**2 - 1. Determine m(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/44*-1 - 1. Let v be 1*3*4\/(-8). Let h = -23\/126 + 1\/14. What is the nearest to -0.1 in h, d, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*m + 8 = 0, -5*n + 2*n - 2*m + 6 = 0. Suppose n = 4*l - 5*d + 13, -11 = 2*l + 3*d. Let r(h) = h**3 + 3*h**2 - 5*h + 1. Calculate r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -17*o - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164519601 and 7.\nAnswer: 1151637207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 + 246. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8) - 27\/(-12). Suppose 2*k + 4*i = -136, -7*k + 2*k - 327 = -h*i. Let r = k + 75. Calculate the greatest common divisor of 171 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i - 6. Give w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-27) - -3 - (-50)\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127761320, -255522640, -383283960, -511045280, -638806600?\nAnswer: -766567920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -2\/15, -0.08?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.1 + -6.53. Let f = l - 0.6213. What is f rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 6*s + 16 = 2*f, 0 = -4*f + s - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 26.1. Let d = g + 2.2. Let s = 132\/13 - 134\/13. Which is the third smallest value? (a) d (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32045*k + 69477*k - 24722*k to the form r + m*k and give m.\nAnswer: 12710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 - 3*o + 3. Let l(t) = -9*t**2 - 3*t + 2. Give -4*l(i) + 3*u(i).\nAnswer: 6*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 11011?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31799 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 89*v**2 - 16*v - 27. Is f(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*m**5 + 1404*m**4 + 6840*m**3 + 15224*m**2 + 15004*m + 5324 = 0. Calculate m.\nAnswer: -11\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -193\nAnswer: 4\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1314 - 0.1464. What is the second biggest value in 3\/8, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545846 divided by -24.\nAnswer: 272923\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)\/((d*d**(1\/6))\/d) assuming d is positive.\nAnswer: d**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19968 = 93*t - 77*t. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6095000 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 0*z - 430 = -27*z. Solve -3 = z*g - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1734856\nAnswer: -7\/867428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at most as big as -69\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 21 + -4 + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/25 - 2\/5. Let a be (-1)\/(1 + 8\/(-10)). Sort a, 6, z.\nAnswer: a, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*r + 16636 + 31100. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -26*u**3\/9 + 428*u**2\/9 - 1856*u\/9 + 256\/3 = 0.\nAnswer: 6\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = 5*v + 172, 5*v = 3*q - 248. Suppose -q + 279 = 7*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 268*n + 1002. Let j be m(3). Which is the third biggest value? (a) 4 (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(245) + 1*sqrt(245))**2.\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 3:53 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/27 and -113\/28758.\nAnswer: 258822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65963*o + 65917*o = 46 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123350 - 0?\nAnswer: 123350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-75)\/(-35)) + 176\/(-240). What is the fifth biggest value in -3, 0.2, 1\/8, -1, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplggpglppppllglol. Give prob of sequence op.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 31*x**2 - 472*x + 485. Give d(42).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 894 = 2*q, 2*d + 2*q + 2*q + 1772 = 0. What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 4, 212 in decreasing order.\nAnswer: 212, 42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259632.\nAnswer: 2, 19, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + j + 17. Let r be t(0). Suppose -r*c + 15*c = 0. What is the third derivative of -u**2 + c*u**2 - 5*u**3 + 6*u**3 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/13))\/k*k**(-1\/11)*k*k**(1\/3)*k*k\/(k*k\/(k**2\/k)*k*k*k)*k assuming k is positive.\nAnswer: k**(170\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d - 17. Let b be a(6). Let t = -23 + b. Let l = 30 - t. Solve 0 = m + m + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -37.\nAnswer: -37, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(sqrt(1452) - (sqrt(1452) + -1)) - (sqrt(528)*-6)\/sqrt(11)*-4)*5)**2.\nAnswer: -24960*sqrt(3) + 691876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l**2 - l + 1. Let d(t) = -2*t**3 - 30*t**2 + 102*t - 102. Let r(w) = d(w) - 6*y(w). Factor r(o).\nAnswer: 4*(o - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + -1 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-16) - (-69)\/12. Let j(d) = 5*d**2 + 6*d + 8. Let y(s) be the first derivative of -2*s**3 - 7*s**2\/2 - 9*s + 2. Determine p*y(g) + 7*j(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144463?\nAnswer: 11, 23, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**5\/60 + 49*y**2 - 17. Let w(n) be the second derivative of l(n). Let r(g) = -2*g - 22. Determine r(w(i)).\nAnswer: -2*i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -l, 5*l + 16 = -3*v + 56. Suppose -2*p - 12 = -5*a, -3*p + 8*p = 5*a - 15. Suppose -a*o = -6*o. Solve 5*c + 4*f = -20, l*f = c - o + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708 and 10?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.1, 0.2, -19\/5, 234, 3, 2 in descending order.\nAnswer: 234, 3, 2, 0.2, -19\/5, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29519 - 0.8.\nAnswer: -1.09519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = c - 3, 4*z - 2*z - 3*c + 1 = 0. Suppose 7*t - 355 + 334 = 0. Sort 1, z, 4, t in descending order.\nAnswer: 4, t, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(10\/(-3120)*-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 4*x**2 + x**3 + 4*x**2.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541002437?\nAnswer: 3467, 732911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/13, -4\/5, 32.4, 0.2.\nAnswer: -4\/5, -5\/13, 0.2, 32.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 4 - 4 + (3*n**2 - 2 + 2)*(-3 + 4 - 20).\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 8*z**2 + 9*z - 6. Let k be d(7). Let y = -65 + 88. Let t = y + k. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 215 - 55. Let f = b + -32. What is the remainder when 64 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 18*p + 19. Let n be x(-8). Solve -b + 4*b - n = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10450 and 44?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043969.\nAnswer: 1043969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 132, 192, 240, 270, 276?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308 - -0.25.\nAnswer: -307.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 82*i - 57. Calculate w(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0036, -2, -2\/15, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-1\/25)*w))*w*w**(-2))\/(w*w*w\/(w**9\/w)*w**26))**22 assuming w is positive.\nAnswer: w**(-11572\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*l**2 + 32*l**2 + 263 + 2753 - 59*l**2 as w*l + h*l**2 + i and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 20*p - 119 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 - -246. Determine h so that -6\/7*h**f - 2\/7 - 8\/7*h = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 20\/539, 5, 14, -16, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -b?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i + 4*i - 2*i. Let z(k) be the second derivative of -17*k**4\/12 + 918*k. Determine z(g(h)).\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*4)\/(sqrt(396)*-3).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (-793)\/(-78). Suppose -c = 5*k, 2*k = -2*w - 1 + 3. Let j(q) = 3*q - 4. Determine j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(108) + -2 + -4)*-1.\nAnswer: -24*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1213.92 * 1.\nAnswer: 1213.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -2, 1 in increasing order.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 4 = 0. Is 1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.2211 and 0.08.\nAnswer: 3.617688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 1116*x**3 - 320320*x**2 = 0 for x.\nAnswer: -455, 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:03 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 4, x: 1, c: 6}. What is prob of sequence wx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 137, 198, 243, 266, 261, 222?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-456)\/2352)\/19)\/(5\/(-30)).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12*137\/(-3288))\/(7\/(-2)*11)\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/52127412 and 2\/95?\nAnswer: 260637060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -203, -199, -195, -191?\n\"Answer: 4*q - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let x(t) be the third derivative of 0*t**3 + 0*t - 1\/60*t**5 + 1\/20*t**6 + 0 - 6*t**2 + 1\/24*t**4. What is x(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -270, 0.09, -263, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518935969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*i - 4 = 0, 2*v - 3*i + 2 = 10. Solve -v = -4*k - 0*k, 4*k = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 * 5.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*a + 224660 = -14759, 0 = 5*m - 2*a - 399073. Let b = -19873 + 68686. Let r = m - b. What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 4 + 1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 46, -394, -5, 5, -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - b + 3522 = 0, 82*b = 77*b + 15. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 140 = 48*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -2979\/2, 1, 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/30*5\/(-2). Let d = -731 + 734. Solve -w = -d*o - 4, 0 = -5*o + k*o + 4*w - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**7*j**(1\/5)*j\/(j*j\/(j\/(j*(j*j\/(j*j\/(j**(1\/2)\/j)*j)*j*j)\/j)*j)))**(9\/7) assuming j is positive.\nAnswer: j**(1413\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/60*p**5 - 3\/2*p**2 + p**3 + 0 + 9*p + 0*p**4. Let i(r) be the first derivative of t(r). Differentiate i(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1643\/462 + -30\/77. Calculate the common denominator of i and -27\/397.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -43530\/19 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = -49*g - 48*g - 826 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 890\/209 + -74\/19. Factor -2\/11*m**2 + a + 2\/11*m.\nAnswer: -2*(m - 2)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 192, 279, 348, 393?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2180472357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.314 rounded to zero decimal places?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6990.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 112 = 2*l, j - 158 = -4*j - 2*l. Let i be 40*(-3)\/(6*-1). Calculate the greatest common divisor of i and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514075 (base 8) to base 16\nAnswer: -2983d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 1, h: 3}. What is prob of sequence kvk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v + 2*x + 1 = 0, 2*v - x + 4 = 0. Suppose 4*m - 16 = -0*m. Let g(a) = 3*a - m + 2*a + 4. Determine g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + i + 1. Let p = -105 - -107. Let l(y) = 4*y**2 + 4*y**3 - 2*y**2 - 5 + 3*y**2 - 5*y. Determine p*l(a) + 10*u(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1025 + 1002. Which is the closest to u? (a) 2 (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548730353?\nAnswer: 43, 12761171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 64*f**2 + 0 - 117*f**2 + 28*f - 28*f + 6*f**2 + (-5*f + f + 2*f)*(-3 + f + 3) - 2*f**2 + 0 + 0 + 3*f**2 + f**2 - 3*f**2.\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/9, 4531, -0.4, -1.\nAnswer: -1, -0.4, 0.4, 4\/9, 4531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) - (sqrt(11) - (sqrt(11) - sqrt(11)*2*-5)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -59 - 63756\/(-966)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5 - 2 - 3 + i. Let z(v) = 15*v + 75. Let y(k) be the second derivative of k**2\/2 + 6*k. Let g(c) = 75*y(c) - z(c). Determine g(s(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/640 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638\/5 bigger than 328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 626907166 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: -0.5 times -0.5909\nAnswer: 0.29545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/11 - 13\/22. Let g = -4 + 4.3. Let d = -21 - -24. Sort g, d, i in decreasing order.\nAnswer: d, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16119218432 rounded to the nearest 100000?\nAnswer: 16119200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 25074170\nAnswer: -325964210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.03 (b) -5 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335.3 - -58.3. Let m = i - -276.999276. Round m to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*c - 231 = -850*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 13, 7 in descending order.\nAnswer: 13, 7, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 115\/24 in ascending order.\nAnswer: -1\/3, 1, 115\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380511, -1522821, -3426671, -6092061, -9518991, -13707461, -18657471?\nAnswer: -24369021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -302 + 435. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -103 (c) -35 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14*o = 780. Is -1 + 50404\/10 - o\/130 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*343\/49\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 76)\/(-4 - -2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f**3 + f**2 + 2*f - 2. Let x be d(1). Let o(a) = -a**3 - 11*a**2 + 4*a + 15. Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let p(f) = -f + 1. Let x be p(1). Let j be -3 - (x - (3 + 0)). Solve j*q + z = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 7 + 6 + g**4 + g**2 - 2*g**3 - 3*g**2 in the form w*g**2 + m*g**4 + k*g**3 + c*g + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101032 - 0?\nAnswer: 101032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 11:47 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 - 13444*z**3\/5 - 7598592*z**2\/5 - 291904816*z - 93910401008\/5.\nAnswer: -(z + 194)**3*(z + 12862)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 w when three letters picked without replacement from {c: 1, d: 2, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 13.3. Let s = 25 - k. Let i = s - 7. What is the closest to -1 in -1\/7, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 - 38.29. Let b = -5 + i. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501550 (base 6) in base 4?\nAnswer: -223301022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 - 50 + 79*z - 76 + 26*z. Let f be 21\/28*-12 - -13. Let m(s) = -s**2 - 15*s + 18. Let d(o) = f*v(o) + 27*m(o). Find b such that d(b) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/11 (b) -1 (c) -2\/11 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.245373kg in tonnes?\nAnswer: 0.005245373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - 32. Let w = i + 146. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 289626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3 + 5*b**2*c - 4*b**2 + 2*b*c - 58*b wrt b?\nAnswer: 6*b + 10*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 1:49 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 128898 divided by -5859\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45186813 rounded to 4 dps?\nAnswer: -0.4519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6313\/(-9416) - (-2)\/16.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 6 + 0*d**2 - 1\/6*d**4 - d + 0*d**3. Let b(h) = 83*h**2. Calculate j(b(q)).\nAnswer: -13778*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 - 11*d**3 + 6*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/22*(-10857)\/(-2961).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 575, 864, 1151, 1436, 1719?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10031 - 10?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(352\/528)*2*40?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 6 - (-39)\/26*(-20)\/15\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from vmvvllmvl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -92, -124, -152, -176, -196, -212?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4 + 4)*(3*r - r**3 - 3*r)*(-2*r + 0 + 0) - 7*r**3 - 2*r**5 + 7*r**3.\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(48825\/(-62589)) - 4\/(28*-1)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(2106) + sqrt(2106)*5))\/(4*((sqrt(200)*2 - sqrt(200)) + sqrt(200))).\nAnswer: -81*sqrt(13)\/40 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10089.34038 to the nearest one hundred.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 46. Suppose 11 - l = -2*u. Suppose -u*v = -3*q - 12, 3*v - 4*q - 18 = -0*q. Solve -14 - v = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.05 (b) 0.5 (c) -6.3 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*(2 + (-15)\/6)*-1. Let o(x) be the second derivative of 0*x**3 + 0 - d*x**2 + 3*x + 0*x**4 + 1\/20*x**5. Differentiate o(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*j - 8*j + 7, 3*j + 3*b = 3. Sort 1, j, 5.\nAnswer: 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/70 - 13*w**4\/42 + 12*w**3\/7 - 1656*w. Factor u(b).\nAnswer: 2*b*(b - 9)*(b - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Suppose 4*k + 360*a = 361*a - 1, a = 5. Let r(q) = -11*q - 4. Give k*p(x) + r(x).\nAnswer: -10*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 27. What is p(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - c - 1. Let p(b) = 23*b**3 - 7*b**2 - 2*b - 2. Let x(k) = -2*g(k) + p(k). What is the third derivative of x(y) wrt y?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let b(k) = -2*k**2. Let o be ((-1)\/3)\/((-7)\/(-105)). Let t(m) = o*a(m) + 4*b(m). Let s(x) = x. Give s(t(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j + 83*j - 42*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031636*5174.\nAnswer: 163.684664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -2*i, 0 = -67*w + 68*w - 5*i - 8. Put w, 34, 4, 0 in decreasing order.\nAnswer: 34, 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*m + 21 = 0. Let l(h) = 16*h. Let z be l(1). Suppose 4 = 4*t - z. Solve 2*f - t*d + 7 = 0, -2*f - m = -d - 0*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*y + 8*y + 87*y - 202*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -76, -108, -138, -166, -192, -216?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -106793 (b) 0.24 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 6) to base 13\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 580 = -g - 4*k, 4*k - 1690 = -3*g. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 127, 111, 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z**2 + 9*z - 16*z**2 - 5 + 2. List the prime factors of c(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 42 - 16*t + 295*t**2 + 8 - 317*t**2. What is p(-21)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.99 - 18. Let m = y - -0.01. Let j be (-16)\/24*18\/4. What is the nearest to m in j, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259237 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Suppose 2*t - 3*s + 6 = 0, t + p*s = s + 4. Let u be (-10)\/15*(-147 - t). Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/(t**(2\/11)\/t)*t)\/t)\/t)\/t**(2\/7)*(t*t**10)\/((((t*t\/t**(-1\/3))\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(3280\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 52*i**3 + 5*i**3 - 27*i**3.\nAnswer: -79*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 6*l + 6. Let v be s(-5). Let c = 38 + v. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89987, 51.9, -0.2.\nAnswer: -89987, -0.2, 51.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac (base 13) to base 5.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.1474 - 0.0474. Let v = -22 + k. Which is the closest to v? (a) -2 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, -3, 2\/9, -1\/9, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 72 = -3*v, -5*w - 5*v + 3679 - 3674 = 0. Let j(c) = -200*c - 3. What is the remainder when j(-6) is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:33 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 10 - 4*q**2 + 9*q**2 - 3*q**2 + q**2 - 5*q**2 as i*q + z*q**2 + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u + 36. Calculate the lowest common multiple of f(-12) and 210.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449931?\nAnswer: 3, 47, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -1\/3*a**6 + 0*a**4 - 7\/60*a**5 + 0*a + 0*a**3 - 31*a**2 + 0. What is the third derivative of c(o) wrt o?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.81 in 0.8, -0.5, 1\/10?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/63 + -2 + 100\/28. Solve 2*q - 8 = -g*o, -6*q + 2*q - 4*o + 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14788490 to the power of 1\/2, to the nearest integer?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -143*j + 704. Calculate y(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**6\/10 - 12*k**5\/5 - 17*k**4\/4 + 15*k - 3. Find g such that n(g) = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/(3\/(-2)). Let h be ((-4)\/14)\/((-48)\/(-84)). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3511 + -4?\nAnswer: 350a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5908968 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let a be h(13). Suppose 0 = 3*n - 2*g - 622, 1 = 4*g - 15. Suppose 0 = 5*p - n - 70. What is the highest common divisor of a and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6477 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3343 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7249, 29196, 65765, 116950, 182745?\n\"Answer: -v**3 + 7317*v**2 + 3*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.39493033?\nAnswer: -1.18479099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k. Let l be s(1). Let u(n) = 54*n**2 - 25 + l*n - 3*n**2 - 14*n. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1056 and 2904?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6)*(-6)\/9. Let y be 3 + (-1)\/(r + 0). Let v = -41 - -42. What is the closest to v in -0.9, -3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 16*a**2 - 151*a - 1421. Give z(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 2613188170*f - 341437620591397445 = 0.\nAnswer: 261318817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 902.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1032?\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -8*t + 16, -15*t - 3*i = -17*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1203)\/18 - 3*3\/18. Let c = -1439\/24 - x. What is the common denominator of 1*44*(-3)\/64 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from {h: 11, i: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(3900) - sqrt(3900)*-2) + sqrt(3900)))\/(-4*sqrt(3)*-3*-3).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-30) + 41\/2. Let f(q) = q + 2. Let v(x) = 17*x + 124. Let l(z) = 6*f(z) - v(z). Let h be l(-35). Calculate the highest common factor of h and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**3 + 0*k**2)*(3 - 1 - k - 4).\nAnswer: 2*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/(-3)) + (3 - 4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (1\/6)\/((-8)\/168). What is the closest to -0.1 in 2, z, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -73. Suppose -14 = 4*g + v*x - 148, -g + 5*x + 61 = 0. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -n - 2*r, 2 = -3*n - 13*r. Let f(z) = -6 + 127*z + 219*z + 27. Is f(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 1\/2*v**5 + 5\/2*v**4 + 3\/2*v**2 + 7\/2*v**3 + 0 = 0 for v.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6440 + 1418?\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(2*sqrt(8) - sqrt(8))*-6)**2 + -3*sqrt(48)\/sqrt(6) + (sqrt(8) - sqrt(288)*-6).\nAnswer: 68*sqrt(2) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255230406 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/7*(-4)\/(-1)*13\/(-12).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 2*v + 636. Is z(53) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42660, 85277, 127890, 170499, 213104, 255705?\nAnswer: 298302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 - 1928*z**2 - 305732*z - 15892336 = 0. Calculate z.\nAnswer: -179, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - 0.02. Let q = -0.95 + z. What is the nearest to q in 5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.53 + 53.53. Let w = i + -57. What is the nearest to -1\/2 in -2, w, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:30 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -247. Let c = 211.875 - f. Round c to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a century?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 18373*x**2.\nAnswer: x**2*(x - 18373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-15)\/(-6)*(-11 + 9). Solve 5*a - d = -2*k, -43*a + 48*a - 30 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + 5*k - 7. Let y be h(-4). Let m be (y + -1)\/(-4) + 3. Let o = -37 - m. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -67, -64, -75, -106, -163, -252?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1305, 2\/7 in descending order.\nAnswer: 2\/7, -1\/2, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = -4*s - 28, 0 = s + 3*j + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - z**2 + 424*z**3 + z**2 + 11930*z**3.\nAnswer: 12367*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1121.3 + -1225. Let d = g - -106. Which is bigger: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j. Let k be a(1). Suppose 0 = -3*z + 5*z - k. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 + 2*y**2 + 3. Let t(k) = 36*k**3 - 15*k**2 - 21. Give 15*m(x) + 2*t(x).\nAnswer: -3*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.57 + -39.57. Let r(t) = t + 2. Let d be r(2). Sort m, 0.31, d in increasing order.\nAnswer: m, 0.31, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/11 + 7728*t**4\/11 + 7587482*t**3\/11 + 235415148*t**2\/11 + 448098752*t\/11 + 220263360\/11 = 0 for t.\nAnswer: -1916, -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 45 + 45 - q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 2*v - 4. Let y be (-4)\/(-10) - 18\/(-5). Suppose 4*n + 12 = -4*i, -5*n + 4*i + 3 = -18. Let w(j) = 1. What is n*m(f) + y*w(f)?\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765825271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.015473mm in kilometers?\nAnswer: 0.000007015473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 121943088 and 0.064?\nAnswer: 121943087.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214035*k**2 - 2 + 2 - 214046*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21740 = -2*g, -4*v - 5*g + 6987 + 36497 = 0. Suppose 3*f - v = -3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2)*(-2 + 57*n - 56*n - 4) - 3 + 2*n**2 + 3.\nAnswer: 3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (sqrt(220) - sqrt(220)*1))*-6*6)\/(sqrt(15)\/sqrt(3)*2 - sqrt(5)*-2*-6).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 16 - (-98 + 125).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/5))**(-35)*(y*y*y**(1\/10))\/((y*y**(-7\/5)\/y*y)\/y*y))**5 assuming y is positive.\nAnswer: y**(-395\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = n. Let q(u) = 4*u - 54. Let p be q(12). Let g be (1\/(3\/p))\/n. Put 2, 5, g in descending order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2481 + 3542. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 12. Let o = 980 + -975. Give x(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 71.33. Let f = o - -0.206. Round f to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 4, b: 3}. What is prob of sequence cb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*j + 18, 0*j - 3 = k - j. Let c = 607 + -894. Is c\/k - 7\/(-42) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 5*w - w)*(5*w - 4*w + 0*w)*(447571*w + 2 - 447883*w - 3) to the form h*w**2 + j*w + m*w**3 + q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 4*c**2 + 2*c**2)*(0*c - c + 2*c) + 20 - 25 + 15*c**3 + 8 - 3*c**3 + 2*c**3 + 2*c**3.\nAnswer: 14*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 55, 147, 285, 475, 723, 1035, 1417?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-16490)\/(-12) + 2 - 18\/108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6906872961 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 10:57 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 385*d - 320*d**2 + 15*d - 4*d**4 + 23*d**3 - 99*d**3.\nAnswer: -4*d*(d - 1)*(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14793?\nAnswer: 3, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158134 is divided by 1387?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 138248 divided by 2\nAnswer: 69124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Suppose b - 3*p = -4*p + 1, -2*b + 3*p + 17 = o. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3031791 and 395451.\nAnswer: 9095373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424545, -1698342, -3821389, -6793686, -10615233, -15286030?\nAnswer: -20806077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160204 (base 7) to base 4.\nAnswer: -13221103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/137730750 and -86\/1380375?\nAnswer: 1239576750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13079 divided by 966\nAnswer: -13079\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1262)\/(-180) + 1 + 64\/(-576) and (7\/117)\/(-7*24\/(-441)).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/104 and 53\/104962.\nAnswer: 419848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4)*(-7)\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9406 + 427*z - 9406)*(-2*z - z + 2*z).\nAnswer: -427*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.2392.\nAnswer: -1.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) -0.047 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791195.\nAnswer: 5, 229, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 24803.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -3)*1*7\/(-168) + 322\/252.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -694 times -8\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (204\/170)\/(8\/10). Let c(h) be the second derivative of 0 - q*h**2 + 1\/6*h**3 - 5*h. What is the first derivative of c(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63144 + -1)\/((-1)\/5). Let a = 814275 + q. What is a rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 7*u + 2*g - 6 = 0, 3*u = -2*g + 3. Calculate the lowest common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 7\/4*d**4 - 19 + 7\/3*d**3 + 0*d + 0*d**2. Find the third derivative of t(v) wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3649407 + 10.05\nAnswer: 11.4149407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*p - 79 = 0, -69 = 4*s - s - 3*p. Is ((-4666)\/(-5))\/((-10)\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031 * 318199.\nAnswer: 9864.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Let u be 1\/3*(i - -3). Let q be (u\/(-3))\/((-2)\/(-9)). What is the smallest value in 0.2, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -22*c**2 + 35*c + 8. Let f(j) = -15*j**2 + 23*j + 5. Let z(b) = 8*f(b) - 5*r(b). Find the second derivative of z(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.572151 microseconds in milliseconds?\nAnswer: 0.001572151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 21. Let k(q) be the third derivative of -q**5\/60 - 7*q**4\/24 - 2*q**3\/3 + 4*q**2. Determine k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.6835 + -56.9. Round u to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1228, 1262, 1256, 1192, 1052, 818, 472?\n\"Answer: -3*b**3 - 2*b**2 + 61*b + 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -479328 divided by -8\nAnswer: 59916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k**2 - 9*k + 10. Let p be d(7). Let l(c) = 22*c**2 + 6*c + 3. Is l(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1051 + 2344 = 0. Suppose 8 = 2*h, -t = -5*x + 4*h - 10. Suppose 4*j = -a + x, 3*a - 114 = -3*j - 0*j. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4915, 9605, 13885, 17551, 20399, 22225, 22825, 21995?\n\"Answer: -34*d**3 - d**2 + 4931*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + 35. Calculate the greatest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbkbkkkkb. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12424224434 - 0?\nAnswer: -12424224434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:03 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5014004 decades to months.\nAnswer: 60.168048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7 (b) -0.1 (c) 0.2544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63213*m - 31611*m - 31607*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3142*-3.\nAnswer: -0.9426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29975012 = -2*r - 14424976. Let s be -8 + r + 2\/(-3 - -4). Round s to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2. Let r(z) = -189*z**2 - 2*z - 5. What is r(a(s))?\nAnswer: -1701*s**4 + 6*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 12397\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*o**3 - 142*o - 280*o + 196*o wrt o.\nAnswer: 2148*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 5*q + 45, q = 1251*a - 1249*a + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 s when four letters picked without replacement from {x: 3, b: 5, u: 1, s: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -86*s - 80*s - 26 - 78*s + 336*s - 85*s. Determine k(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142758 and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (5 + 1 + 7). Let w(n) be the first derivative of n**4\/4 + 7*n**3\/3 - 5*n**2 - 2*n - 1. What is the units digit of w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4823 = -11*o + 4911 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2023*w**3*x**2*y - 4*w**3*y + 19*w**3 + 26*w**2*x**2*y + 361*w*y wrt x?\nAnswer: 4046*w**3*x*y + 52*w**2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 171032 (base 9) to base 14\nAnswer: 2a766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 4*p + 66 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 24. Suppose d = 5*m - 7, -q*d + 19 = -0*d + 2*m. Solve -d*l - 4*i - 4 = 0, -5*l + 2*i - 7 = -35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 8*o - 63. What are the prime factors of 24*o\/(36\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*k + 27072 = -1327*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 228341710.\nAnswer: 2511758810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5285 - 160*l - 15853 + 5288 + 5282.\nAnswer: -160*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700))\/((sqrt(40)\/sqrt(5))\/sqrt(2)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92118636?\nAnswer: 2, 3, 41, 139, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2606 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2666771601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(8\/7)*a*a**9*a\/(a*a**(1\/13)*a)*a**(4\/9) assuming a is positive.\nAnswer: a**(9427\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -93, 2\/7, 2\/9, 5\/6, 0.4696?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1851077\/2772 - -6010\/9. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 2*m - 6 - m)*(2 - 5 + 2) in the form g + i*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + 1 + -6 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67478, -133599, -199720, -265841?\n\"Answer: -66121*k - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**2 + 9*l + 5*l + 5*l + 12*l wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299942.64 to the nearest one hundred.\nAnswer: -299900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*x - 100 = 0, 0*g - 2*g + 4*x + 68 = 0. Solve -d = 7*d - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2. Let l = 46 - 46. Let r(y) be the first derivative of -3 + l*y**2 + 0*y + 1\/3*y**3. Determine r(j(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223033*q**3 + 21*q**2 + 10294*q.\nAnswer: 1338198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.41 - -0.01. Let y = z - -0.4. Let w = y - -1. Sort -2, w, -2\/21 in descending order.\nAnswer: -2\/21, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**3 + 3*z - 5*z**3 + 3*z**2 - 9*z**2 - 7 + 0*z**2. What are the prime factors of b(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/5)*n)\/(n*n**(-2\/3)))\/(n**(-1\/2))**21)\/(((n\/n**(-1\/5))\/n)\/(n\/(n\/n**0))*n**(-1\/5)\/(n*n*n*n**(-2\/11))) assuming n is positive.\nAnswer: n**(4549\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 319*b*h*z - b*x - 2623*b + 2*h*x - h*z + 2*x*z + x wrt z?\nAnswer: 319*b*h - h + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18072170?\nAnswer: 2, 5, 317, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 29, -5, -4 in increasing order.\nAnswer: -5, -4, 0, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.12 (c) 2\/21 (d) 0.4 (e) -298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126 = -3*j - 2105 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-7) + 2\/(-165 - 3). Which is the closest to 1\/24? (a) -1 (b) -0.1 (c) -1\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 746.2 and 0.06?\nAnswer: 746.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 270 = 2*b, -5*n - 5*b + 324 = -3*b. Let c = n + -84. What is the tens digit of 17 + c + 14*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjsssjjjsx. Give prob of picking 2 j.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:49 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473610 is divided by 398?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, v: 2}. Give prob of sequence jv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:24 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and -0.08509.\nAnswer: 0.0136144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 28.3. Let t = -3.2 - a. Let c = -0.5 - -0.3. What is the third smallest value in t, c, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2808 - 1073. What is the remainder when r is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/31, 1, -30, -0.328, -0.4 in descending order.\nAnswer: 1, 2\/31, -0.328, -0.4, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8598 and -288.\nAnswer: -2476224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.25. What is the closest to 15 in 2, -3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11122023 + 110?\nAnswer: 11122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 48 = 8*m. Let i be (m\/9)\/1*(-9)\/(-6). Let b(h) = -3*h - 2*h - i*h. Let g(w) = -7*w**2. What is b(g(r))?\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.271006 * 4\nAnswer: -5.084024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*r - 4. Suppose r*s - 9*s = 264. Let w = 97 + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i + 0*i - 25*i to the form p*i + m and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 + d - 2. Let f(w) = 1. Let j(c) = 2*f(c) + p(c). Let n(k) = -7*k**2 - k. Determine 6*j(b) + 5*n(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2. Let c(d) be the second derivative of d**4\/12 - 37*d**2\/2 - 26*d. Let o(w) be the first derivative of c(w). Give o(p(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgjjggijggigj. What is prob of picking 1 i, 1 k, and 1 j?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 + 36*p - 174 - 35*p.\nAnswer: p - 754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1998 and 2819548?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14 + 3*m - 13*m - 2 - 3. What is the hundreds digit of k(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*x**2 + 6*x - 3 - 6*x + 1373*x**2 + 8158*x**2.\nAnswer: 8396*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282 or -131?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 12 + -9 - -1) + -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156520 and 124570355.\nAnswer: 996562840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 60. Suppose -4*q + 2*q = -10. Suppose -25 = -21*c + 16*c. Solve q*p = c - h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1052 - 3156?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -14 - 22 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/20 + n**4\/2 - n**3\/6 - 4*n**2 - 864*n. What is p(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 53*g. Let p(j) = -1467*j**2. What is p(z(m))?\nAnswer: -4120803*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77877 and 41229?\nAnswer: 700893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 5*c + 14, -2 = -b + 2*c. Suppose -4*p = -x - 8, -2*p + x + b = -4*x. Solve 3*s = 4*o + 10, -o - 2 = -p*s - 3*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 + 275*f**3 + 1198*f wrt f?\nAnswer: -60*f**2 + 1650*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let s(u) be the second derivative of 0 - 7\/6*u**3 - 3*u + 0*u**2. What is a(s(i))?\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.594 rounded to one decimal place?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-2)\/84)\/(10\/40). What is h in 6\/7*h**2 + 2\/7*h**3 + 0 + l*h = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - -2) + -5)*(-106)\/8. Suppose 4*u = 163 + v. What is the remainder when u is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69088550 and 17250.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/2360, 0, 1\/25, -0.05 in increasing order.\nAnswer: -2\/9, -0.05, 0, 3\/2360, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*v - 10472 = -421*v. What is the remainder when v is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -313\/7 (b) -1\/23 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50050, -200148, -450314, -800554, -1250874, -1801280?\n\"Answer: -j**3 - 50028*j**2 - 7*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/140 - (-1 - (-6)\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5 - 84\/15 - 17004\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4826, 4854, 4884, 4916, 4950, 4986?\nAnswer: 5024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.507 + 2.607. Let n = -2.8 - -3. Let u = n + -0.14. Are u and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-1))\/(2\/14*7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749511, 749513, 749517, 749523?\nAnswer: 749531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2363*z**2 + 51*z**2 - 317*z**2 - 115 + 115 to the form v*z + c + d*z**2 and give d.\nAnswer: 2097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47588366*k**4 + 3*k**2 + 2134*k + 10?\nAnswer: 1142120784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1561.674 + -1560. Let b = -1.54 + f. Round b to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530\/(-954)*(-3 + 108\/24)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1009 (b) -5 (c) -0.06 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 29 - 15. Suppose 3*c = -2*c + 2*f + 47, -4*f + 38 = s*c. What is the remainder when 11 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 9 + 6 - 23*z)*(2*z - 3*z + 4*z) in the form h*z + g*z**2 + l and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/109 in 2\/19, 3, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-36))\/((1125\/(-30))\/(-75))*(-342)\/4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/7)*o\/o**20*o assuming o is positive.\nAnswer: o**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.8 greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9735 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 80.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -177.865502 - -1\nAnswer: -176.865502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 1:04 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 at least 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30301523 (base 6) in base 12?\nAnswer: -3578a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0 + 12. Suppose -5*p + 107 + 118 = 0. Calculate the remainder when p is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85350 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9036)\/41415)\/((-918)\/85).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80089256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-36) + (1406\/171)\/(-37)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23190 and 168540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**2 - 116*f + 145. Give o(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(11) - sqrt(99)) + (sqrt(66) + sqrt(66)*-1 + sqrt(66))\/sqrt(6) + -1)*-1.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31473.\nAnswer: 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3472, -2\/15, 278?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 26*d**2 + 25*d - 20. Let z be s(-14). Is 66\/363 + 5122\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -20. Suppose -d*q = -q. Suppose -132 = -5*l + v, -l + 0*l + 3*v + 18 = q. Which is smaller: l or 28?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 330, 511, 712, 939?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2616)\/(-51012) + 4208\/78?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323)*2*6 - (sqrt(1323) - (sqrt(1323) + -1*sqrt(1323) - sqrt(1323))*-2 - sqrt(1323)))\/(sqrt(81)\/(sqrt(9) - (sqrt(9) - sqrt(9)*-1*6))*-6))**2.\nAnswer: 28812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -6*f - 68. Let t(s) = s**3 + 8*s**2 + 8*s - 5. What is the remainder when f is divided by t(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*c + w, -12 = 32*c - 31*c + 3*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/77 (b) 11 (c) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i. Let q(m) = 2*m**2 - 1090*m - 379. Calculate b(q(g)).\nAnswer: -36*g**2 + 19620*g + 6822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 82\/(0 - (-1 + -1)). Let n = w + -1. Calculate the remainder when n is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - g - 3 + 4 in the form w*g + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:32 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjcccbbbccccb. What is prob of picking 1 b, 2 j, and 1 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111101011100 (base 2) in base 12?\nAnswer: -192a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94703ng in kilograms?\nAnswer: 0.00000000000094703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 135*d**2 + 74*d + 57. Calculate the remainder when k(-3) is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -221?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459*v**2*x - 345*v*x**2 + 3*v - 16265*x**2 - 7*x + 4 wrt v?\nAnswer: 918*v*x - 345*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12580.1 - -13122. Let p = 542 - m. Put 0, -0.04, p, -4 in decreasing order.\nAnswer: p, 0, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1598 and -49\/32.\nAnswer: 25568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10860, 4, -30 in ascending order.\nAnswer: -30, 4, 10860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*d - 2996 = 457*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 5. Let h be j(-1). Let s be 1*(-4)\/2 - h. Suppose 0 = 2*r - 2*z - 48, -4*z + 9*z = s*r - 57. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) - 6032\/12. Let k = -298 - r. Suppose 0*y - 4*y = -k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0, -38, -0.5, -2\/21, 25 in decreasing order.\nAnswer: 25, 0.09, 0, -2\/21, -0.5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9320740 to the nearest ten thousand.\nAnswer: 9320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 6365?\nAnswer: -1082.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 3, a: 1}. Give prob of picking 3 j and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49085.47ug?\nAnswer: 0.00004908547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 1, j: 1, q: 3, n: 1, a: 4}. What is prob of sequence va?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.06, 0, -3, -16, 45, 0.12954?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03415712 to 4 decimal places.\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Suppose -g*f = 3*b, -2*f - 5*b - 4 = 5. Suppose 4*m = -f*d + 31, -2*m + 6*m = 16. Solve 3*h = -l - 17, -2*l + d*h + 31 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.7. Are r and -0.004 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from qssswqqsswqssqqqss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(8*13\/(-520))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.26502648 rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 17 = x, -o - 5*x + x = 14. Let k be (o\/(-24))\/((-2)\/(-48)). Suppose k = s - 57. What is the highest common divisor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 12*d**2 + 10*d - 14. Calculate i(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 15 = -35*r + 17*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - 4*v**2 - 8*v + 43. Let z be c(3). Let y = 424 + z. What is the highest common divisor of 69 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x - 5. Let r(d) = -9*d - 2. Let p(l) = 6*m(l) - 13*r(l). Let a be (-13)\/(-4) - 1\/4. What are the prime factors of p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let w(x) = -x**2 - 1190*x. Calculate w(j(l)).\nAnswer: -4*l**2 + 2380*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -2333.\nAnswer: 933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 45. Let t be (3 - (-1 - -3)) + r + -5. Suppose 3*m - 25 = 3*l - 4, -3*l = 3*m + 3. What is the closest to 0.2 in 1, t, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 11 = -2*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: Let d = 525 - 522. Suppose -d*v + 7 = -x, -2*v + 2*x + 4 - 2 = 0. Solve -k = -2*m - 0 + 3, 0 = -v*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - -44. Let d = u - 157. Let h = -0.7 - 0.3. What is the nearest to h in -2\/17, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, 0 in descending order.\nAnswer: 0, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 235263*b**2.\nAnswer: -3*b**2*(b - 78421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-4))\/(12\/(-16)). Suppose -b*k + 3*l - 13 = -k, -5*k - 9 = l. Put 3\/7, k, 2\/17 in decreasing order.\nAnswer: 3\/7, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.8, -163, 38?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q = -8, 5*y - 36 = y + 5*q. Let m = 4 + y. Solve 4*x - m + 0 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64130 and 8605080.\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2*h + 2*h + 0*h)*(-16 + 7 + 4).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.372488 litres?\nAnswer: 9372.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -135. Suppose -2*f + l*n = -327, -5*f - 5*n + 283 = -447. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 315607?\nAnswer: 3471677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38aa57 (base 12) to base 16.\nAnswer: -e3563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 319*q - 5952. What is c(20)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20*n = -825. Let v = n + 59. Solve 3*i = -4*m + 2 - 10, -m - v*i - 15 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 3)*(12*p - 14*p + 14*p) - 8 - 4*p + 8)*(-2*p + 7*p - 2*p).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-45))\/(128\/1056)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p + 41. Let f(g) = -5*g + 39. Calculate 4*f(y) - 3*w(y).\nAnswer: 3*y**2 + y + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/3 - 16412*z\/3 + 270200.\nAnswer: 4*(z - 4053)*(z - 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4 - 267*g**3 - 4806*g**2 - 26400*g - 45024 = 0.\nAnswer: -67, -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 0 - -7) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o**2 + 79*o - 163. Calculate t(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122022 (base 4) to base 12\nAnswer: -b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 18*t**2 + 19*t + 33. Give o(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.27 (b) -2 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 132*h**2 + 133*h - 228. What is the remainder when 675 is divided by z(131)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 85\/6249?\nAnswer: 85\/6249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(288) + 2*sqrt(288) + sqrt(288) + sqrt(288))*5)\/sqrt(9) - (1 + (sqrt(384)*-1)\/sqrt(12))) + 3)**2.\nAnswer: 416*sqrt(2) + 21636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 1776*d**3 - 3561*d**2 + 1782*d.\nAnswer: 3*d*(d - 1)**2*(d + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/11 - 3796\/99. Let c = n + 2657\/63. Is 1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/(-3) - (-4)\/(-6). Let o(s) = -4*s**2 + 6*s - 8. Let c be (4*(-12)\/28)\/(2\/7). Let i(d) = 7*d**2 - 11*d + 15. Calculate c*i(f) + p*o(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.025 + -0.045. Put 0.3, h, 1, -0.3 in ascending order.\nAnswer: -0.3, h, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:23 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90114631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -200, -197, -194, -191, -188, -185?\n\"Answer: 3*j - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -20. Let f be (-1202)\/(-18) - 4\/o. Suppose 0 = s - f - 8. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3148257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 469*i**3 + 469*i**3 - 3*i + (-3 + 6 - 1)*(-9*i + 9*i + 4*i**4).\nAnswer: 7*i**4 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/10 + x**4\/4 - 2*x**3\/3 - x**2 + 710*x. What is m(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 1\/8, -5, -18\/73, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 30393?\nAnswer: 303930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -5) + -3*1. Let w be 110\/(-44) - (-1)\/(-2). Let x be (-1)\/w*45\/(-135). What is the nearest to -0.5 in x, 5, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3*m + 6, -5*w + 46 = 3*m. Suppose -936 = 2*a - w*a. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -65, -177, -343?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3591676 by 2.\nAnswer: -1795838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 11:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 114*t - 116*t. Let v be (t\/78)\/(1\/(-12)). What is the second biggest value in -23, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 41*p + 38. What is the tens digit of i(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = i - 2*m - 149, -i + 2*m + 142 = 0. Suppose -3*y + 0*y + 3*j = -51, -4*y + 70 = -2*j. Calculate the greatest common factor of i and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**3 + 2*r**2 + 3*r. What is h(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*j - 3, -5*d = -17*j + 12*j + 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 101871.\nAnswer: 1324323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-390))\/(4\/8)*1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 181*k**2 - 380*k + 27412 = 0. What is k?\nAnswer: -178, -14, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(432))**2 + 3)*5 + ((sqrt(24)\/sqrt(4)*-6)\/(-3*sqrt(8)))**2.\nAnswer: -480*sqrt(3) + 2258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 51. Let h(a) = -2*a - 26. Let z(s) = 5*h(s) + 3*i(s). Find the first derivative of z(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -234. What is the remainder when 79 is divided by (12\/6 - -42)*g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-5)\/v))\/v)\/v)\/(v**(1\/21)\/v) assuming v is positive.\nAnswer: v**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let r(n) = -2*n - 2*n - 3*n + 3*n. Determine r(q(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 11*l**2 - 58*l - 178. What is the lowest common multiple of 0 - (1 + 0) - -21 and d(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 4*d + 6. Let r be f(-4). Suppose 0 = -4*y + r*y - 16. Determine v so that 20*v + 8*v**2 + 0*v**2 - 12*v**2 - y*v = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let n = 11 + -11.1. Let l = n + -0.4. What is the second smallest value in z, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 - q**4\/12 + 7*q**3\/6 - q**2. What are the prime factors of a(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -146*c + 193. Let p(l) = -2*l**2. Determine o(p(s)).\nAnswer: 292*s**2 + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, q: 5}. Give prob of picking 1 q and 1 r.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -b - 2, 4*r + 2*b - 16 = 0. Solve r*t - 3 + 11 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - (4 + 7 - 10)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 - y**3\/2 - y**2\/2 + y. Suppose 0 = -23*z + 25*z - 86. Suppose -z*i + 39*i + 16 = 0. Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:46 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f - 7. Let d be b(-6). Let m = d - -131. Solve 4*n = 3*v - 29, -3*v + m = -5*n + 2*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210253271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5772 + 5787. Let o(v) be the second derivative of 0*v**2 - 1\/2*v**3 + z*v - 1\/4*v**4 + 0. Determine s so that o(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(88\/396)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from alllljallllallllj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 3*m**7 - 11*m**4\/4 + 1366*m**3\/3 + 828. What is the third derivative of g(i) wrt i?\nAnswer: 2520*i**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1\/4 (c) -2378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o + 44268 = -37*o. List the prime factors of o.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 7\/2, 4, -5, -4.\nAnswer: -5, -4, -2\/3, 7\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 4308\nAnswer: -51696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 255\/(-85)*(-205)\/(-87)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1384*d**2*i**2 + 6*d*i + d - 5157428*i**2 wrt d.\nAnswer: -2768*d*i**2 + 6*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/36 + 4*g**3\/9 - 8*g**2\/3 - g. Solve p(u) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 614 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 4*m + 1. Suppose 0 = 8*z - 12*z - 8. Determine h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + -5*sqrt(200) + sqrt(200) - sqrt(200) - (sqrt(200) - -2*(sqrt(200) - (sqrt(200) + -5) - sqrt(200))))*6)**2.\nAnswer: -242568 - 74880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let y = 11840.9 - 11841. What is the closest to -1 in 2\/23, m, y, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*r**3 + 142*r**6 + 24*r**2 + 15*r**2 + 54*r**3 + 54*r**3 wrt r?\nAnswer: 17040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 2. Suppose k + 4*k + 11 = t, 3*k - 3*t = -9. Let z(s) be the first derivative of -3*s - 2\/3*s**3 + 0*s**2 + 8. What is k*z(x) - 3*j(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32532672377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 20. Suppose h - 2*h + 4 = 0. Calculate the remainder when (-2)\/h + 430\/20 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11241 is divided by 1592.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33005077?\nAnswer: 7, 673573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 19*c - 74. Let s be p(6). Let v = 10 - 5. What is the second derivative of 2*q + 5*q - q + v*q**s wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20886 and 885?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15060134 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 6*n + 1. Let g be a(6). Let u = 1 - g. Suppose u = p - 2, p + 1 = -v + 2*p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3961.2 + 3664. Let y = u - -297. Which is the closest to 0? (a) y (b) -1\/2 (c) 1 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbbbbbppp. Give prob of picking 1 b and 2 p.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8015 - -64215\/8. Find the common denominator of t and (-190)\/(-28) - (1 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100010101010 (base 2) in base 12?\nAnswer: 50662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*s + 15, 15 = n - 2*s - s. Let i = n + 5. Suppose 6*v = -3*y + i*v + 41, 2*y = -3*v + 18. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 6*f**2 + 12*f**2 - 41*f**3.\nAnswer: -41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 16. Let b = -8 - s. Let p = 1\/123 - 374\/615. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11448 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3 + 9))\/(217\/21 + -12). Let b(k) be the third derivative of 0*k + 0 - 1\/50*k**5 - 24*k**2 - 1\/5*k**3 + p*k**4. What is j in b(j) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -30 - (2 - (1 - 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2196842250 to the nearest integer?\nAnswer: 46870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 31*s + 40. What is k(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 u when four letters picked without replacement from ufuuuufuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 2, m: 7, f: 3}. What is prob of picking 1 l, 1 m, 1 f, and 1 q?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 10. Let o be j(8). Suppose -k - 4*k = o*d - 6, -3*k + d = 3. Let i be 3\/1*3\/(-3). Put k, i, 4 in increasing order.\nAnswer: i, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - 1. What is the units digit of 22 + -5 - (v + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y. Let g(w) = -4*w - 8*w + 14*w + 2*w. Determine u(g(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2 + 7*u + 3 + 1 + 1 + u**2. Determine x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10112010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -49311.\nAnswer: -49308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08 times -66.5203?\nAnswer: 138.362224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -36\/51991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/269536952 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87343*a**2 + 87343*a**2 + 92*a**3.\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3383. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 3)\/(0 - 2). Let y(q) = -q - q - m*q**2 - 14 - q**3 + q. Let z be y(-6). What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 40920*t**2 - 209469384*t + 1673137216.\nAnswer: -2*(t - 10226)**2*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 7762?\nAnswer: 69\/7762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 + 23*a**3 + 26*a**3 + 3*a**3.\nAnswer: 103*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-1)\/sqrt(6) + (sqrt(2016) - sqrt(2016)*-3))\/(2*sqrt(2)*4 - (sqrt(2)*-1*-2 + sqrt(2))).\nAnswer: 48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 9432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -485*g - 2859. Give u(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - q**2 - 1796*q**3 + 4*q**2 + 1798*q**3 - 2*q**2 as k*q**3 + t + v*q**2 + w*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 8*i - z - 52, 0 = 4*i + 3*z - 57 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2\/31, 4446?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7465048771?\nAnswer: 7465048771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1698*i**3 - 133*i**2.\nAnswer: 10188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -107. Put s, -0.63, 0.2 in decreasing order.\nAnswer: 0.2, s, -0.63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a + 4. Let m be i(0). Suppose u - 3*u + m*q = -62, -3*u - q = -107. Let j = 18 + u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 36. Suppose -2*z = f - 10, -3*z + 20 = 9*f - 5*f. Let g be -1 - (-2 - z - -1). Calculate the highest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3064*j + 1. Is y(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360414198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvi when four letters picked without replacement from iihhivvviiviv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65578 by -4.\nAnswer: 32789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 6*g + g)*(15 - 3 + 0).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95472?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2832, -14369, -33604, -60537?\n\"Answer: -3849*v**2 + 10*v + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -2, 0.855001 in decreasing order.\nAnswer: 7, 0.855001, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-8)*(-2 + 1). Suppose 2*u = -z - 2, 0 = 4*z - 3*u - 18 + d. Suppose 0*s - 418 = -2*s - 4*b, -2*b + 420 = z*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - 75\/20)\/(3\/780)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 7. Let o(m) = -8*m + 20. Let v(i) = -4*o(i) + 11*z(i). Let p be v(-10). Solve 3*d - 2*f = 5, 3*f = d + p + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(405).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 76, -2\/51, 1\/6, -4, 0.2, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 11565?\nAnswer: 11560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -53\/328 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4684.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -274*m + 49. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 318*v**2 - 981*v.\nAnswer: 3*v*(v - 109)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91) - ((-2*sqrt(91)*2 - sqrt(91)) + sqrt(91))))\/(sqrt(49)\/(sqrt(28)\/sqrt(4))*4).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 505 and 30?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112, 123, 142, 169, 204, 247?\n\"Answer: 4*j**2 - j + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010 (base 2) to base 16.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 9118151.\nAnswer: 30\/9118151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, 0.1.\nAnswer: -0.1, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 30\/25)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*y = -476 + 526, 5*k - 3*y = -18 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**6\/70 - 11*h**5\/70 - 5*h**4\/21 + 4*h**3\/7 - 2*h + 872. Let j(y) = 0. Calculate y.\nAnswer: -6, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4643*i**2 - 4691*i**2 + 265*i**5 + 8988*i**2 wrt i.\nAnswer: 15900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 8091270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/25)\/(((-21)\/35)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45695 (base 10) to base 2\nAnswer: 1011001001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.03 (b) -3\/5 (c) -3\/8 (d) -3 (e) 5 (f) 10843.1 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (-1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20*p + 52*p - 3*p**2 + 0*p**2 + 2*p**2 - 3*p**2. Let u(h) = 6*h. Give u(d(y)).\nAnswer: -24*y**2 + 192*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 1. Let y(m) = -2*m**3 + 2*m**2 - 1. Let l(c) = 2*b(c) - y(c). Give l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 28, 44, 60, 76?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-9))\/i**(-6))\/((i**(2\/7)*i)\/i**(-7)))**(3\/13))**(-45) assuming i is positive.\nAnswer: i**(-7290\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 3*v, 3*t - 36 = 3*v - 3. Suppose -19*r + 24*r = -t. Let l(q) = q**2 + q. Let b(c) = -7*c**2 - 4*c + 1. Calculate r*l(z) - b(z).\nAnswer: 4*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*w - b, -w - 79*b - 3 = -75*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6 + 2. Suppose o*g - 60 = -0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3684 + 18511\/5. Let b = z - 8094\/445. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (13 - 0)) + -16 + (26 - 10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(1 + -1). Suppose -q + 9 = -p. Suppose -b + q = 2*b. Sort -0.3, b, -0.2 in increasing order.\nAnswer: -0.3, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/((-270)\/51))\/((-9)\/(-54))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 1\/1440*l**6 + 0*l - 1\/3*l**3 - 1\/480*l**5 + 0*l**4 + 0 + 2*l**2. Let o(x) be the first derivative of m(x). Factor o(j).\nAnswer: j*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*o - 2. Suppose 4 = -t + o. Which is the nearest to -2? (a) t (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 8*r**2 - 108*r + 47. Calculate the remainder when 67 is divided by m(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 28*o**2 - 9*o + 348. Determine u(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 0 + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195244 by -27892.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/2 - 73*i**2 + 645*i\/2 + 3375 = 0.\nAnswer: -150, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*g + 26 - 9 - 155*g - 17.\nAnswer: -371*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*c + 22*b - 17*b, -4*c = -2*b - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mbmmbm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k + 1440. Let t = -261 - -247. Let a be k\/t + 6\/14. What is the highest common divisor of a and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*i + 6*i + 6 = 0, 4*i = -5*m + 2. Let z be ((-21)\/14)\/(m*2\/(-8)). What is the second derivative of 2*r - 20*r**z - 3*r - r wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242615017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 29 = -8*k. Let t be ((-2)\/3)\/(4\/(-138)). Let b = k + t. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -442 - -9287\/21. Let w = 40231\/2541 - -1\/1694. What is the common denominator of w and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(200)\/sqrt(10))*2)\/sqrt(4) + (5 + 1 + sqrt(125) - sqrt(125)).\nAnswer: 6 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 977721 * 1\nAnswer: 977721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 1, e: 4, y: 4}. Give prob of picking 1 e and 3 y.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 1\/3*v**3 - 1\/3*v**4 + 0 + 1\/2*v**2 + 44*v. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -12*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -1, -14, 3 in ascending order.\nAnswer: -14, -7, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 235 + 244 - w - 473 in the form g + a*w and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 351.3 + -350.8. What is the third smallest value in 1, k, 84, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397104532?\nAnswer: 2, 349276133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 + (19 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 8\/3, -2\/7, 0.06, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 4. Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36496 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3315960 and -69\/610.\nAnswer: 3315960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1219*p + 411*p + 478*p - 4620 = -462*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -70. Let j = p - 30. Let c = -45 - j. What is the second biggest value in c, -3, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 10*p - 5. Let f(u) = u**2 + u - 1. Let b(v) = -3*a(v) + 21*f(v). Factor b(g).\nAnswer: -3*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-17)\/o))\/(o**(1\/5)\/o*o*o*o))**(7\/4))**(-22\/7) assuming o is positive.\nAnswer: o**(-407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2785 divide 29812650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -204*j + 15098. Let l be z(74). Determine r so that 8 + 28\/5*r + 4\/5*r**l = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12987 and 101010?\nAnswer: 909090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*g - 2*r - 44, 26*r - 28*r = -3*g - 28 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 - 940*u**3 + 1974*u**2 wrt u.\nAnswer: -60*u**2 - 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 o, and 1 l when four letters picked without replacement from llohhlllolhlohlholl.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, f: 5, t: 7}. Give prob of sequence dfdt.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 374 - 374 - 1 + u**3 + 1 + (2*u - 4 + 4)*(-u**2 + 3*u**2 - u**2) + 3*u**2 + 3*u**3 - 3*u**2 + (-2*u**3 + 6*u**3 + u**3)*(-2 + 4 + 0).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 715613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 0.249.\nAnswer: -0.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*r**2 + 1041*r**2 - 2*r + 2*r.\nAnswer: 2397*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43292133 by 15467.\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {t: 1, x: 2, h: 1, c: 1, e: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, 16, -6\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 153*t - 41*t - 32*t - 42*t - 39*t.\nAnswer: -t - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1003 divided by -17.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -993444, -993457, -993478, -993507?\nAnswer: -993544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -25. Let c = a - -91. What is the lowest common multiple of c\/7 + -2 + 0 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21424, 21422, 21418, 21412, 21404?\nAnswer: 21394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 10, -2*i = 3*v - 25. Solve 0 = 2*w - v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 15. Let q be r(26). Let i = q + 135. What is the remainder when 72 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 10. Is (153\/j)\/(6\/16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 - 73*o - 945. Does 291 divide h(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 4*r + 7. Let m be z(-5). Let n be (-8)\/(-10)*(-8)\/((-48)\/15). Solve t = n + m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1030 and 5\/1854.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21133 (base 5) to base 2\nAnswer: 10110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(1872)*-2)*-1.\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 43137*o**4 + 86277*o**3 + 43139*o**2.\nAnswer: -o**2*(o - 43139)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (3 - (5 + -16)) - (26 - 45).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 81 - 2336\/292.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -395\/5147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujhubvff. Give prob of sequence vfu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*h**2 + 241*h + 259*h + 254*h + 14 - 756*h to q + x*h + r*h**2 and give r.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h = -6269*n + 6272*n - 99, 2*n + 2*h + 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 7, f: 1, o: 4}. Give prob of sequence on.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 42. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252\/315*10\/(-52)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 4*w**2 - 3. Let p be s(5). Let i = 308 - 221. Let v = i - 65. Solve l + p = 5*b, 0 = 4*b + 5*l - 13 - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(0 + 0 + 2*v) - 185*v + 463*v + 882*v.\nAnswer: 1162*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*g**2 - 158*g**2 - 307*g**2.\nAnswer: 247*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*d + 2658, -n + 0*n - 4*d = -658. Let j be (-2)\/(-7) + n\/21. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.265 + 0.065. Let h = 409 + -414. Let r be (-17)\/(-35) - 3\/15. What is the closest to -0.1 in r, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(132)\/(sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12))) + sqrt(33)\/sqrt(3)*-3.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 23. Let q = 142 - k. Suppose q = -3*i - 5*t, -5*i + 5*t + 4 = -21. Calculate the lowest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972 = 1119*c - 1155*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -201. Find the third derivative of l**5 - 67*l**4 - 6*l**2 + a*l**4 wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77160 divided by -20\nAnswer: -3858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14323 (base 8) to base 9.\nAnswer: -8641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 240*a + 88915. Determine t(-371).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/133? (a) -0.08 (b) 4.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13411 + -21?\nAnswer: -13432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26514*v**2 + 151*v + 121.\nAnswer: -53028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4680 divided by -5\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886, -3513, -7906, -14077, -22038, -31801, -43378, -56781?\nAnswer: -72022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 95419271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 14 = b, 16*b - 4*k = 12*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763222 a multiple of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 4*x**2 - 4*x**2 + 0*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 290*l - 334*l + 176. Solve 11*z = -b + 16*z + 23, 0 = l*b - z + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.6 - -93. Let l = r + -0.4. Let v(x) = x**2 - 5*x + 3. Let i be v(5). Which is the smallest value? (a) l (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/6)\/((-2)\/(-16)). Suppose 0*c + x*c = -4. Put c, -5, 0.5 in decreasing order.\nAnswer: 0.5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, b: 2, j: 2, k: 6, d: 2, h: 1}. What is prob of picking 3 n and 1 j?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 2, g: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/5))\/b*b**(-3\/5))**(2\/119) assuming b is positive.\nAnswer: b**(-2\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000601924 to 6 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 345 - 341. Suppose 0 = -r*s + 8, -18*s = -2*i - 13*s. Solve -2*w - 1 + i = -k, 3*k = -2*w + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x - 75. What is f(0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 5}. Give prob of sequence dduu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5497369*w**2*x**2 + 375*w**2*x + 67*w*x - 3*x wrt x?\nAnswer: 10994738*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 1. Let g(p) = -p**3 - 3*p**2 + p + 4. Let t(f) = -3*f - 8. Let a be t(-3). Determine a*g(i) - 4*k(i).\nAnswer: -i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 = v. Solve v*i - 7*i = o + 17, 3 = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/2 - 103779*x + 207561\/2 = 0. Calculate x.\nAnswer: -69187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 14, m: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 219 = -2*m, 0 = -3*m - 7*u + 4*u + 327. Calculate the highest common divisor of 44 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326300 rounded to the nearest ten thousand?\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -42*q + 501. Give p(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 rounded to 1 decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -61 (c) 43.42 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -6357 = -6296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61.53 (b) 17 (c) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 2*q - 2. Determine l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 - 12312?\nAnswer: -11214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478.1 + 478. Let l be (15\/555)\/(1\/(-3)). Let t = -95\/259 - l. Which is the nearest to u? (a) -1\/3 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380707.\nAnswer: 380707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 26*z + 16 - 232*z**3 + 21 + 25*z as w*z**2 + c*z + b + j*z**3 and give j.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 242 = -2*i, -7*f - 3*i = -12*f + 275. Suppose -8*h - f = -266. Which is bigger: 28 or h?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7850 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*z + 8379 = 168*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33265 or 33264?\nAnswer: 33264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -5*g**4\/12 + 35*g**3\/6 + 20*g**2 - 58*g. Factor s(r).\nAnswer: -5*(r - 8)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 925773 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -715 - -1138. Suppose 183 + w = 6*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/9))**(-20\/3) assuming t is positive.\nAnswer: t**(-160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 8*y - 7. Suppose -4 = 3*v - 5*v + 5*p, 5*p = -5*v + 45. Let c be o(v). Let f(s) = c*s - 3*s - 4*s. Let m(d) = 3*d**2. Calculate f(m(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3396*i**2 - 16*i + 2576735.\nAnswer: -6792*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187083 and 1014.\nAnswer: 374166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express g - g - 3*g**4 + (-8*g - 4*g - 7*g)*(4 + 0 - 2 + (7 - 5 + 4)*(1 + 1 - 4))*(2*g - g**3 - 2*g) in the form d*g + a + c*g**2 + s*g**4 + v*g**3 and give s.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-165)*2*(2*-20)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556268.\nAnswer: 2, 139067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-764)\/1528*(-26 - -15)\/((-1)\/4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -27178?\nAnswer: -27182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 548, 891, 1262, 1655, 2064?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 862, 1952, 3478, 5440?\nAnswer: 7838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*l + 14, 18 = -0*b + 4*b + l. Let r = 2.95 - -0.05. What is the smallest value in -2\/15, r, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10200 (base 3) to base 11\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/3 + 16*x**4 - 46*x**3 + 136*x**2\/3 - 15*x.\nAnswer: -x*(x - 45)*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + 2*q + 2*q + (-131 + 22 + 575)*(2 - 2 + 3*q) + 1 + q - 1.\nAnswer: 1397*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 9*t - 9. Let r be y(-7). Suppose 2*z - 24 = -r*p, 2*p = 4*z - p - 74. Suppose -u + 162 = -z. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - s)*(-5*s + 0 + 0)*(18 + 4 + 11) + (-2*s**2 - 2*s**2 + 3*s**2)*((-1 + 3 + 0)*(2 - 1 + 2) + 2 + 3 - 4 + (-6 + 0 + 4)*(1 - 1 - 3)).\nAnswer: 152*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -8*j**2 + 2 - 14\/3*j**3 - 2\/3*j**4 + 1\/5*j**5 + 19*j. Let l(i) be the first derivative of t(i). Suppose l(z) = 0. What is z?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005291 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -95581100 to the nearest one hundred thousand.\nAnswer: -95600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -3563\/69?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 260\/(-125))*-40 - 3. Factor 0*f + 0 - f**2 - p*f**3.\nAnswer: -f**2*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -492*o - 1564. Calculate y(0).\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*f = -22, -a = -10*f - 8 + 19 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a347 - -5?\nAnswer: a34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.1100002431 - -45.11. What is k rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2883*a**2 + 895*a**2 - 2*a + 4*a.\nAnswer: -1988*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c + 7. Let h be f(6). Let n(t) = 28*t**2 - 1. Calculate the remainder when n(h) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 21421 = 5*q, 32*g - 42835 = 28*g + 3*q. List the prime factors of g.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 3. Let x(w) be the first derivative of 2*w + 16. Let a(m) = 4*f(m) + 5*x(m). What is the derivative of a(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278176 bigger than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Suppose -a*v + 12 = -0*v. Let w be v\/6 - 9\/(-6). Solve w*s + 3 - 31 = 4*b, b - 5*s + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39895 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvbfvbvunvbubf. Give prob of picking 1 v, 1 n, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1133*g**2*p + g*p - g + 39*p + 11 wrt g?\nAnswer: 2266*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-11))**28)**(2\/27) assuming q is positive.\nAnswer: q**(-616\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 4*p + 4 - 2, 0 = 5*c - 2*p - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (4 + -18 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 145941045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21008 + (-22 - -17) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 472.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -3 (b) -1\/3 (c) 0.3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 - 7*f - 257. What is q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 93694301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w - 3. Let i = 3\/5716 + 6605\/9197044. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76a - 3a8?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + 3*l**2 - 3*l**2)*(l - 3*l + 0*l) - 7*l + 7*l + 7105*l**3 + 2163*l**3 - 1644*l**3 to x + q*l + h*l**2 + k*l**3 and give k.\nAnswer: 7630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = y, 3*u - 2*y = u. Let o(n) = -n + 1. Let l be -5 + 0 + 3 - 2. Let t be o(l). What is the greatest common factor of u and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) -2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - s = -11 + 3, -10 - 6 = -4*t + 4*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/198) + 3. Suppose 4 = -2*w - 2*w, w - b = -5*n. Let t be (-198)\/(-77) + (-8)\/n. Solve -t*h + 0 = 8, 3*r - 3*h = 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44a841 (base 11) to base 8\nAnswer: -2570443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6549 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10846261 to the nearest integer?\nAnswer: 3293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.144372 centuries to months.\nAnswer: 7373.2464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24198448293112 and 0.5.\nAnswer: 24198448293112.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -36\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/21))**(2\/125)*(i*i\/((i\/(i\/((i\/(i*i\/(i\/(i**(-2\/49)*i*i))))\/i)*i))\/i))**11 assuming i is positive.\nAnswer: i**(1406947\/18375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 0, -2, 1 in decreasing order.\nAnswer: 13, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x + 652*x - 28630 - 18824 = -12280 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -49. Let j be (6\/4)\/((-9)\/(-78)). Put -3, j, s in increasing order.\nAnswer: -3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1646208 and 121\/2057760?\nAnswer: 8231040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*-9597*2*5\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*p + 10, -g - g + 5*p = 14. Put g, 0.2, 23, 2\/7 in ascending order.\nAnswer: g, 0.2, 2\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r**2. Let d(z) = z**2 + 1. Let q(m) = m**2 + 1. Let j(k) = 18*k**2 + 20. Let s(x) = 2*j(x) - 20*q(x). Let i(c) = 20*d(c) - s(c). Give h(i(a)).\nAnswer: -448*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-63)\/(-294))\/(54\/91) and -149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/427 and -11\/554778?\nAnswer: 33841458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177 + 331b?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 0*n)*(-1 + 3 + 0 - 2 + 0 + 3 + (0 - 1 - 1)*(-1 + 0 - 1) - 638 - 120 - 506)*(2*n**2 - n**2 - 3*n**2).\nAnswer: -2514*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10720129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-220)*-2 + 104\/2860.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177618627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 398413655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 - 80084*f - 5053230 = 0.\nAnswer: -63, 40105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140890379?\nAnswer: 7, 20127197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*n**2 - 48*n**2 - 4*n + 4*n - 9 in the form w + a*n**2 + f*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3417 - -d?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-1))\/((-6)\/(-18)) is divided by 0 + 6*(-2)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(500) + sqrt(20) + sqrt(20)))\/sqrt(4).\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9153 divided by 6749.\nAnswer: -9153\/6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 422814 * 2\nAnswer: 845628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -78*u - 8 + 42*u + 34*u. Let x be i(-3). Which is the third smallest value? (a) 5 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let u(t) = -t**2 + t**2 - 13 + 7*t**h - 10*t**2 + t**3. Let a be u(6). What is the greatest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*t**2 + 316*t**2 - 130*t**2 - 51*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -6. Find the second derivative of -4*i + 191*i**p - 3*i**4 - 191*i**3 wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -17. Suppose s = -0*v + v. Let k = 15 + -5. Calculate the smallest common multiple of k and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137947 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11248 divided by 4.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 68. What is the closest to -2\/7 in i, 1, -46?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175100420 to the power of 1\/2, to the nearest integer?\nAnswer: 46638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -67. Solve 0 = -3*n - 4*p - q, -3*p = -4*n + 1 + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {n: 3, x: 4, p: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3) + (3 - 2). Suppose i*w = 11 + 1. Let n = 1.208 + -1.508. Which is the third biggest value? (a) 3\/4 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3141680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86021696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -148\/5. What is the biggest value in 0.1, -37, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472 = y - 3*y. Let t = y + 958. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-4\/5))*j*j)\/j**(-1\/7)*j**(3\/22)\/(j\/(j*j*j\/(j**(-2\/11)\/j))) assuming j is positive.\nAnswer: j**(4821\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 8651?\nAnswer: -8653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 37872676*j\/5 + 179292448425122\/5.\nAnswer: 2*(j + 9468169)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in 1\/6, -51, -3\/7?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = t. Let o = t + 10. Suppose o = 7*j - 3*j. Solve 4*f + 2*w + 2 = 0, -4*w = f - j - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071862 (base 9) in base 14?\nAnswer: 110d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 25. Let s be (3\/(-1))\/((-3)\/(-2)). Let h be (-5)\/s*(-8)\/x. Solve -h*r = -4 - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28080 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpvp when four letters picked without replacement from rooooppowopvvwwp?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*j - 0*l + 2*l, 0 = 4*j - 5*l + 140. Let y be ((-4)\/(-10))\/((-2)\/j). Sort 3, y, -1.\nAnswer: -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 11700150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1101 - 544. Let k = 556.999998 - s. What is k rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468720.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-24)\/28)\/((-3)\/28) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-3)\/6*-54. What are the prime factors of 18\/(-12)*j\/(-12)*74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 16*k**2 - 14*k - 31. Let x be l(-9). Which is smaller: -66 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 102 = -2*y, 2*n + 396 = -2*n + 2*y. Let t = -62 - n. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435006880 rounded to the nearest 1000000?\nAnswer: 435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 9 = -35. Put o, -3, -29, 2 in decreasing order.\nAnswer: 2, o, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 2. Let m be b(1). Calculate the common denominator of 2 + (-21)\/(-30) + m\/(-5) and -65\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -103. Factor -46*i + t*i + 2*i**3 - 3*i**2 - 5*i**2.\nAnswer: 2*i*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -1)*(-20)\/60. List the prime factors of 22 - 19 - 30*h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212492?\nAnswer: 2, 7, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/40)\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -2 - sqrt(1573)) + sqrt(1573))*-2*6 + ((sqrt(1573) - (-2*sqrt(1573) + 1 - sqrt(1573)))*4)**2.\nAnswer: -1540*sqrt(13) + 402728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 31, -81, 0, -3 in descending order.\nAnswer: 31, 2\/21, 0, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*l - 10. Calculate the remainder when 15 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 14 (c) 404 (d) -24 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0282701 decades?\nAnswer: 0.000282701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29 = 5*a, -a - 5*g + 30 = 3*a. Factor 0*n**5 + 36*n**3 - 21*n**3 + n**a - 17*n**3 + n.\nAnswer: n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 31.75. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2\/2 + 6*v + 2. Let h be s(-6). What are the prime factors of ((-1)\/3 - h)*-33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/(-232)*(-24)\/9. Let p = -0.6 - -0.5. Put p, -4\/11, -2\/5, y in ascending order.\nAnswer: -2\/5, -4\/11, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q - 6 = 2*a, 5*a - 7 = 2*q. Suppose -104 = -u + t, a*u - 2*t = -t + 320. Let z = u + -72. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 137, -2, -2\/19, 2\/13, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 53. Let p be 11\/(396\/i) + (-2)\/(-9). Let y(q) = q**3 + 8. What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141566310 - 30.563.\nAnswer: -141566340.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 1. Let r(s) = s**2 - 2*s + 1. Let n be r(0). Solve 4*u = n - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = 3*f, 10*f - 11*f = 4*g + 8. Suppose 5*h - 7014 + 379 = -5*n, 0 = f*n + 2*h - 5314. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 10, o: 3, b: 1}. What is prob of picking 1 b and 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + 876\/16. What is the greatest common divisor of f and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 98 + 10 + 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 22 = -4*v, -5*s = 7*v - 3*v - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148, 181, 248, 367, 556, 833, 1216, 1723?\n\"Answer: 3*j**3 - j**2 + 15*j + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.81 - -6.94. Let v = z - 98. What is v rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111 (base 4) to base 6.\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505604004 to the power of 1\/2, to the nearest integer?\nAnswer: 38802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -424?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*(m\/(m*m**2))\/m)\/(m**(-2)\/(m*m**(2\/23))))**(6\/31) assuming m is positive.\nAnswer: m**(564\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 63*b**2 + 202*b + 1327. Let k be v(-60). Sort 6, -5, 5, k, -3 in decreasing order.\nAnswer: k, 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/28*(-104)\/(-3)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415233148.\nAnswer: 2, 11, 9437117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 85. Let u be (-2)\/4 - -5*8\/s. Let y = 3 - 6. What is the second biggest value in y, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p + 4*b, 5*p - 4*b - 16 = -0*b. Let v = -2 + 1. Put p, v, -3 in increasing order.\nAnswer: -3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -2.7, -3\/7, 4, -4, -2\/15?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34981, -69980, -105011, -140092, -175241, -210476, -245815, -281276?\nAnswer: -316877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 + 5211212*d + 36478680 = 0. Calculate d.\nAnswer: -7, 1302810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/(-135))\/(12\/(-190)))\/((-3)\/(-9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-5 + 5)\/2. Suppose y = 9*w + 5*w - 14. Sort -1, 0, w in decreasing order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*t - 5*t - 1, 3*z - 24 = 4*t. Suppose 5*m + 23 = -2*j + 8, z*j = 5*m + 45. Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 at most -0.86226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19931 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 411731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/21*(-6)\/(-1)*2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16013622 is divided by 3124?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 + 146284*a + 2926480 = 0.\nAnswer: -20, 73162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 193.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 3. Let d(q) = -q**2 + 23*q - 125. Let o be d(14). Let w(x) = o + 2 + 2 - 6. Calculate -m(f) - 3*w(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592641 and 372715?\nAnswer: 1371963915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 896*t + 1660 - 1660 - 6465*t as j*t + w and give j.\nAnswer: -5569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -477 + 2938. Is c a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 0 + 0 + (1 - 1 + 2*p**3)*(0 - 2 + 4) - 2*p**3 - 7*p**3 + 0*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283\/16 - 17\/16. What is the common denominator of -89\/10 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*t - 13516 = -2281, 2805 = f - 2*t. Let v = f - 1874. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.529 * -9725\nAnswer: 5144.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = r, -3*r + 18 = -0*l + 2*l. Suppose -4*d = -2*o + 5*o + 4, -3*d + 2 = o. Find t such that -2*t**2 + r*t - d + 4 - 6 + t**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 46.\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8167347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -409010819630 and 5.\nAnswer: -409010819625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23079503 is divided by 283.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8384 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-10076672)\/2015336 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17204170?\nAnswer: 2, 5, 17, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 17370?\nAnswer: 208440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 101.94. Let r = 2544379257.939999526 + -2544379260. Let y = s + r. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and -93\/6010042.\nAnswer: 96160672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4795 = -13*b + 18679. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34716 = -4*t + 4*h, 25*t - 22*t = h + 26039. What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 62. Let f = -1 + 4. Calculate the remainder when s is divided by (f + (-18)\/(-1))*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 - 0.06?\nAnswer: 922.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-83)\/14 - ((-168)\/32 - 6\/8)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let k(t) = 0*t + 4*t - 19*t - 20*t - 3*t + 1. Calculate i(k(c)).\nAnswer: 38*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -2724 - 1731. Let y be (-21)\/(-84) + 646\/8. Calculate the highest common divisor of h and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18509.44 and 2.\nAnswer: -37018.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p = 945 - 126 + 1343 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**2 + 15*w**2 - 2*w**3 + 7 + 4*w**3 in the form i + r*w + o*w**3 + g*w**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 393.7 * 26\nAnswer: 10236.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:04 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 409027895 to the power of 1\/2, to the nearest integer?\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*u + 3*u - 3*t, 0 = -4*t - 20. Solve u*k = -20 + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p - 1506 = 25*p. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 70 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25026\/(-194)*2\/6\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 1422301453 (base 6) to base 3\nAnswer: 1012212201112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1104644, 1104692, 1104740, 1104788, 1104836, 1104884?\n\"Answer: 48*r + 1104596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(7) + -3 - (-3 + 3 + sqrt(19)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.02 - -17. Let x = j - -3.02. What is the closest to -2\/3 in x, 0.3, 21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460936360*n - 261592374 with respect to n.\nAnswer: 460936360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -52254211?\nAnswer: 52254201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 4da87b?\nAnswer: -4da881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129.903995 + 129.504. Let u = t - -0.4. What is u rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6269669 by -3.\nAnswer: -6269669\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -1486, -2457, -3622, -4981, -6534?\nAnswer: -8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2462 and -0.041.\nAnswer: -1.2872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1147 or 1139?\nAnswer: 1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(0 - 1 - 1)*(-121 + 121 - 38*n) to z*n + b and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 334, -2742, -3, -0.19, -2?\nAnswer: -2742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -66*y - 10. Let n be j(3). Let x be (((-5)\/15)\/(-1))\/(1\/(-621)). Does x = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 and -7\/47627099?\nAnswer: 47627099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 6)*8\/(-12). Let s(h) = 0*h**2 - 3 - 3*h - h**2 + 2*h**2 + i. What is the units digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/30 - 13\/((-975)\/12140). Suppose -174 - t = -8*j. Is 42 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {j: 1, l: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let j(i) be the first derivative of 4*i**3 + 2*i**3 - 7 + 34. What is q(j(f))?\nAnswer: 324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10822 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: Multiply 0.1108 and -1.\nAnswer: -0.1108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 90*w**2 + 2*w - 3. Let k be m(1). Differentiate 29 - 635*p + 8*p**2 + 635*p - k wrt p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p + 5. Let l(f) = -307*f**2 + 1. Let g be l(-1). Let w = -301 - g. What is the lowest common multiple of c(0) and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = -y. Calculate the smallest common multiple of 3 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2314, 2668, 3024, 3382, 3742?\nAnswer: 4104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 72172.\nAnswer: -1515612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6469445861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/20*(-4)\/(-3). Let n(m) = 48*m**u - 33*m + 63*m - 30*m. Let d(t) = 2*t. Give n(d(r)).\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 0)*(1 + 2 - 2)*(-8*v**3 - 3*v**3 + v**3) as q*v**2 + m*v**3 + l + u*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*c - 176 = -3*c, -920 = -5*l - 5*c. Let i = l + 51. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133620 to the power of 1\/2, to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 17, 22, 27, 32, 37?\n\"Answer: 5*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - 2*t. Suppose 0 = -2*p - 3*x + 10, -t*p + 2*x = 3*x. Is (132\/18)\/(p\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 4)*(0 + f + 0)*(2*f**2 - 2*f**2 + f**2 + (1 - f - 1)*(0*f + 0*f - f) + f**2 + 3*f**2 - 2*f**2) as t*f**2 + i*f + c*f**3 + w and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -0.012 (c) -4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*l - 68*l - 2*l**2 - 60*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 2*z - 1. Let c be y(1). Suppose 0 = -o - c. Does 5 divide ((-18)\/4)\/(2\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -373.\nAnswer: 186.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -356 + 356 - 456*p + (-4 + 0 + 0)*(p + 2*p - 5*p) + (0*p - p + 2*p)*(-4 - 2 + 5) - 3*p - 2*p + 4*p.\nAnswer: -450*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44062847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 - 3*h + 5. Suppose 5*o - 27 = -3*d, -3*d = o - 5 - 10. Let y be z(d). Suppose -27 = -2*f + y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888290 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: Collect the terms in 37*t**2 - 260*t**2 + 71*t**2 + 116*t**2 + 128*t**2 + 41*t**2.\nAnswer: 133*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 0)*(-3 - 1 - 10) + 3 - 3 - 2*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505a7 (base 11) in base 16?\nAnswer: 120c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 38, 17, 2, -0.3 in ascending order.\nAnswer: -2, -0.3, -0.1, 2, 17, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -503, -1, 1\/5, -0.3, 0.1 in descending order.\nAnswer: 1\/5, 0.1, 0, -0.3, -1, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 + 2*n + 4. Let i(f) = 3*f**2 - f - 2. Let q(a) = 10*i(a) + 4*r(a). Find j such that q(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 0.02 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -678 - -679. Let q be (2712\/28)\/(19\/(-91)). Let p = q + 464. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26904*h**3*i**2*t**2 + h**2*i**2*t + 384*h*i**2*t**2 + i**2*t**2 wrt h?\nAnswer: 161424*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9859793\/6648238 + -1\/56341. Let a = 1\/59 + s. Let w be (-8)\/4*(0 - -1). Put a, w, 5\/4 in ascending order.\nAnswer: w, 5\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*6\/(-12*3). Let k be (-64)\/(-408)*(-18)\/(-24). What is the third smallest value in j, k, -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/5 + 366*p**3 + 563173*p**2\/5 - 50151516*p + 18776124676\/5 = 0.\nAnswer: -1046, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891511547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 2\/7 (c) 567 (d) -0.2 (e) -0.5 (f) -4\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.9 less than 6.3?\nAnswer: -408.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(2 + 1*sqrt(567) + -2).\nAnswer: -45*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 48*g + 12. Let t(f) = 122 - 19*f - 307 + 90 + 90. Suppose 0*v = v - 12. What is v*t(p) + 5*i(p)?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 19*o**2 - o - 7. Determine s(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*i + 104. Let k = i - -50. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -6 - (-770)\/187. Which is the closest to 0.5? (a) 0.5 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4666 (b) -3 (c) 63 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 135*q - 1330. Let w(i) = -15*i + 147. What is 6*t(o) + 55*w(o)?\nAnswer: -15*o + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 1344 = 101*m + 15*m + 5394 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1564304986 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -3, -20, -55, -114?\n\"Answer: -a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2548) - (sqrt(2548) + (-3*sqrt(2548) - sqrt(2548)) + sqrt(2548) + sqrt(2548))))\/(1*3*sqrt(484) - sqrt(484)).\nAnswer: -35*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = 4*k, -19*x - 6 = k - 14*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-28)*(358 + -344). Let j(i) = -i**2 - 12*i + 46. What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3302 and 111969.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r - 40. Let c = r + 14. Suppose -c*p + 12 = -4*b, -3*b = 1 - 10. Solve -p*u = -u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*r + 20, 15*r + 28 = 269*j - 272*j + 118 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196.9382 - -197. Round z to three decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g**2 + 540*g + 4050. Let s(p) = 2*p**2 + 60*p + 450. Let f(m) = -52*s(m) + 6*z(m). Solve f(t) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 38186\nAnswer: -15274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24 + 37 + (-1 - 1). Solve -4*k - 5*s = t, -4*k - k = 5*s + 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4765441966 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - -2. Let d(x) = x + 52. Let v be d(-52). Let u = -40\/117 - -3\/13. What is the third biggest value in v, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2150*w**2 - 4*w - 13. Let b be l(3). Round b to the nearest 100.\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*r = 2*a - 116399985, -3*a - 5*r = -174600025. Round a to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.933814.\nAnswer: -0.466907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31730 - 4156609\/131. What is the common denominator of -87\/10 and v?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(1\/9)*j*j**(2\/3) assuming j is positive.\nAnswer: j**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -10*v + 9479 - 9449, 0 = -5*v + 3*x + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1349\/2265 - -2\/453. Let f = 0.831 - -0.169. Which is the nearest to f? (a) t (b) 11 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15115541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 16, 9, -14, -59, -132, -239?\n\"Answer: -p**3 + p**2 + 7*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 363 and 66228.\nAnswer: 24040764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.7795um in nanometers?\nAnswer: 47779.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1827?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/25)\/(3033\/(-1685))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 + 0 = 0. Sort -0.02, 1\/3, k.\nAnswer: k, -0.02, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 14. Let l be s(-12). Let z = 55 - l. Let h(i) = -2*i**3 - 12*i**2 - 4*i - 4. Calculate the remainder when z is divided by h(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 15\/(-4) + 2. Let h = 3 - 1. Let t = -7 + h. Which is the third biggest value? (a) y (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**5*g)\/g**7*(((g*g*g**3*g)\/g)\/g)**(-4\/13))**(-2\/7) assuming g is positive.\nAnswer: g**(32\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngg when three letters picked without replacement from {u: 3, y: 3, g: 7, x: 3, n: 1, a: 1}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 - 133*w - 159. Let j be n(40). What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 41.83. Let n = 9.07003974 + -9.24004. Let d = q - n. What is d rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 2*m - 4*m)*(3 - 3 + 1) + 2*m + 2*m - 3*m + (-2*m - 3*m - 2*m)*(0 + 5 - 1) as d + n*m and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9735050 rounded to the nearest ten thousand?\nAnswer: 9740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*v - v**2 - 4 + 378*v + 3 to the form i*v + c + b*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/4, 28\/5?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:39 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (0 - 5) + (-98 - -103) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 223676819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -237547?\nAnswer: 237551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 + -0.4. Let y = z + 6.87. Let p be -3 + (-4)\/((-4)\/3). Which is the nearest to p? (a) -2\/3 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*l - 23375 = -7987, -3*l = 3*i + 23088. Let c = -13295 - i. What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/(w**(-24)*w) assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 k when four letters picked without replacement from {k: 2, q: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.596 and 5.66996.\nAnswer: 5.07396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 + 20712*r**4 - 103712*r**3 - 269544*r**2 - 145124*r = 0. What is r?\nAnswer: -5183, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**8*h)*h)\/(h*h\/(h**(2\/13)*h)*h*h))\/(h**(-2\/23)*h*h*(h*h**(-8\/9)*h)\/h) assuming h is positive.\nAnswer: h**(-31943\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1 (c) -1004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 276*l**4 + 3*l**2 + 4*l wrt l?\nAnswer: 6624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -107869, -215738, -323607, -431476?\n\"Answer: -107869*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/510 + 29*h**4\/102 + 841*h**3\/51 + 9*h**2 - 4. Let j(z) = 0. Calculate z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -12. Let m(z) be the third derivative of -5*z**4\/24 + z**3\/3 - 28*z**2 - 2*z + 2. Determine m(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 7*k + 3. Let b be u(3). What is the remainder when (-711)\/18*6\/b is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110000110001101111 (base 2) in base 10?\nAnswer: 1248367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 116*r - 49. Give c(5).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 + 4*b**4 - 3*b**2 + 331*b - 330*b + b**3 in the form m*b**2 + c*b**4 + s*b**3 + f + i*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8) + 1 - (sqrt(648) + -2))**2 - (-1*(-2*sqrt(128) + sqrt(128))*6)**2.\nAnswer: -3799 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k. Let r(u) = -4*u**2 + 5*u. Let p(x) = -2*x**2 + 2*x. Let q(a) = 5*p(a) - 2*r(a). Determine w(q(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -4450?\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*j = -29, -j - 17 = -1833*d + 1830*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**3 + 7*b**2 - 6*b - 6. Let s(a) = -a**3 + a**2 - a - 1. Let w be ((-4)\/(-6))\/(2\/(-21)*-7). Calculate w*l(q) - 6*s(q).\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 10*y - 8*y + 13*y as z + b*y and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -58 + 123 - 100 - 58 + 340*o. Is k(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 10) in base 9?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 655, 2224, 5283, 10330, 17863, 28380, 42379?\n\"Answer: 83*q**3 - 2*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 132, 236, 368, 528?\n\"Answer: 14*z**2 + 34*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 50a8b6?\nAnswer: -50a8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3\/5 - 546661*i**2\/5 - 2134582349*i - 4574004627\/5.\nAnswer: -(i + 39047)**2*(7*i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1)*3\/6. Suppose 3*u - 8 + 2 = c. Does 5 divide 2 - (-16)\/1 - u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7933302305 + -0.5?\nAnswer: 7933302304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10*i = 284 - 287, -6*i + 6 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2535*x**2 - 4622*x + 14. Let v(f) = -2536*f**2 - 4621*f + 13. Let r(n) = -13*d(n) + 14*v(n). What is the second derivative of r(g) wrt g?\nAnswer: -5098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 199 - 134 - (88 + -85).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.401 + -2.001. What is the third smallest value in 7.6, 4\/9, 0, 0.5, v?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 5*l**2 + 6*l. Suppose 1351*w - 27 = 1342*w - 0. Let i(j) = 0*j + 5*j**3 + 0*j**3 - 5*j + 4*j**2. What is w*v(r) + 4*i(r)?\nAnswer: 2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1355, -2706, -4059, -5414, -6771, -8130, -9491?\nAnswer: -10854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + 1 + (-4 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 789 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108124103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/((-6)\/(-12)*-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7663*-0.065.\nAnswer: -498.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -7 + 504\/104. Let l = -326 + 326.3. Which is the nearest to l? (a) -4\/5 (b) -0.1 (c) r (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*l**2 + 4\/5*l**4 + 0 - 12\/5*l + 12\/5*l**3 = 0. What is l?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 - (16 + 19 + (12 - 50))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510, -2077, -4696, -8373, -13114?\nAnswer: -18925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*l - 1516*l + 5*l**2 + 0*l**2 = 0 for l.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (101\/(-5))\/(12\/(-540) + 0) is divided by 228.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*a + 233*a - 24 - 198*a - a**2.\nAnswer: -a**2 - 161*a - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1.009.\nAnswer: -0.2018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 1 + 1 + (3*y**3 + 2 - 2)*(-5 + 3 + 5) + y - 6*y**3 - y - y + y - 2*y**3 to the form m*y**3 + q*y**2 + t + c*y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6748657239 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -6, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0643 + 1.064309737. What is z rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, r: 1, f: 4, o: 2}. What is prob of picking 1 o, 1 t, and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/30 + 7*k**3\/6 + k**2. Find the first derivative of q(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/6 - 7*k**2 - 16*k + 38. Let n(z) be the first derivative of x(z). What is n(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/810 and 83\/36?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -101013*v**2 + 20*v - 8. Let w be i(-8). What is w rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**8\/112 - j**7\/1260 - j**6\/90 + 19*j**5\/60 + 14*j**2. Let q(c) be the third derivative of w(c). Factor q(z).\nAnswer: 4*(5*z + 1)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 3 = 59*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*y = -11571. Let l = -49 + 52. Suppose 0*t = -l*t + y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (25 - (-47 - -97))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -666486?\nAnswer: 666490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48002*v**3 - 2*v + 45731.\nAnswer: 288012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16592 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 3*b - 1. Let n be y(-4). Suppose 5*d - 64 = n*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 5*m + 5. Let t(h) = h**2 + 4*h + 4. What is 3*t(x) - 2*u(x)?\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -102*o + 19173. What is w(188)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1328\/63 + -146\/7. Let j = -8.8629 - 0.0271. Let s = 9.09 + j. Which is the closest to 1\/13? (a) -4 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 444668, 889451, 1334234?\n\"Answer: 444783*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 1500*y**3 - 1400*y**2 + 435*y - 45 = 0?\nAnswer: 3\/10, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29148.8 + 29149. Which is the biggest value? (a) 1\/2 (b) m (c) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003040748 to seven decimal places.\nAnswer: 0.0003041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 15751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 3, h: 6, c: 1, p: 1, g: 1, m: 5}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/2 - 3*m**2\/2 + 21*m. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Suppose -3*i + 3 = -6*i. Let g be o(i). Suppose g*s + 4 = 44. 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 a(n) = n**3 - 47*n**2 - 29*n - 9. What is the tens digit of a(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*u**2*w**3 + u**2 - u*w**2 + 8*u - 2*w**3 + w**2 + 130*w wrt w.\nAnswer: 492*u**2*w - 2*u - 12*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/(-368)*204\/50. Let h = x + 3\/46. What is the nearest to -0.1 in h, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78877 (base 13) in base 6?\nAnswer: -4405401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.51552 microseconds to minutes.\nAnswer: 0.000002208592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951396 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791679.\nAnswer: 17, 340687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/4*a**4 - 2*a**2 + 0*a + 2*a**3 - 15. Calculate the smallest common multiple of x(5) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1811 = q - 5*a, -5*q = -9*q - 2*a + 7134. Let z = q + -941. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2780651*u**3 + 2664618*u wrt u?\nAnswer: 16683906*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2436119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 5, -1, -2, 4\/3, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -249487, -1 in decreasing order.\nAnswer: 3, -1, -249487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**4)*(-70*z + 122*z + 433*z) + 0*z**2 + z**5 + 0*z**2 - 2 + 2 - z**5 + z**5 + 1 - 1 + (-1 - 3 + 3)*(-3*z**5 - z**5 + 2*z**5).\nAnswer: -482*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-484)\/(-10))\/((-14)\/(-35)). Suppose 4*d + b = 4*f + d, -4*f + 103 = 3*d. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 at most as big as -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10186.\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -28.4 (c) -75 (d) 1 (e) 1\/9 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137310 and 55198620?\nAnswer: 55198620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -8 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45982*k - 226800 = 42382*k for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -103, -158, -233, -334, -467, -638?\n\"Answer: -j**3 - j**2 - 31*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*77\/231\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6 = t, -3*r + 3*t + 21 - 24 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -9?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*((-1372)\/(-21))\/(-49).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -85*d**3 + d**2 + d + 1. Let i be z(-1). Suppose -i*m = -87*m + 2. Factor 1\/6*b**3 + 0 - 1\/2*b - 1\/3*b**m.\nAnswer: b*(b - 3)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = z, 5*b - 2*z = b + 30. Let d = -118 + 124. Solve b = d*t + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 19*p + 54. Determine n(-11).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (25 - 84) + 55 + (-137 - 0)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x - 10. Let b be i(-4). What is the closest to b in -5, -5\/6, -0.4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let n(v) = -v**3 + 4*v**2 + 2*v - 3. Let t(s) = 16 - 4*s - 7*s + 3*s**3 + 2*s**3 - 21*s**2 + s**3. Determine z*t(b) + 11*n(b).\nAnswer: b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 801578 and 85946.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-111)\/15 - 2\/(-5). Let l = -5 - q. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 7dc3215?\nAnswer: 7dc3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 50358*c - 1106409. Determine f(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 - 3*s**4 - 5*s**3 + 7*s**3 - s in the form p + l*s**4 + u*s**3 + y*s**2 + k*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(931) + sqrt(931) + 3 + 1*sqrt(931) + sqrt(931)))**2*4 + 6*((sqrt(2736) - 1*sqrt(2736)) + 1)*-6.\nAnswer: 672*sqrt(19) + 59584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(14)\/(sqrt(8)\/(sqrt(24)\/sqrt(6))))**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 7*u - 3263. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1178 - -1167. Let v(i) = -4*i - 40. What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-10) - 22*2. Let z be (-1 - 1)*x\/(-2). Is -2 + 3 + 2 - z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496041 = -2837*h + 10026*h for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170617677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-23)\/253)\/((-4)\/22) + (-52)\/(-24). What is a in 8\/3*a - w*a**3 - 7\/3 + 1\/3*a**4 + 2*a**2 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74764 (base 9) in base 13?\nAnswer: 19693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -24\/19 (b) 35 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 7*q**2 - 8*q - 3. Let w be m(-4). Let v(j) be the first derivative of -j**3\/3 + 15*j**2\/2 - 19*j + 24. Give v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(49*v**2 + 77*v - 77*v) as l*v**2 + o + j*v and give l.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -4*a, 2*h + 5*a = 5*h. Let k(i) = i**2 - 53*i + 235. Calculate k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + u**2 + u + 8. Let b be l(0). Let g be -5 + b\/2 + 6. Solve g*h - 5*m = -0 - 5, -2*m - 28 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*p**3 + 1750 - 1750)*((0 - 3 + 1)*(2 - 3 + 0) - 6 + 3 + 18).\nAnswer: 1105*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30736 and 9450416.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.557 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-8) - (-1)\/(-4). Suppose 0 = 2*d - 5*x, o*x - x = -5*d. Let y be (-1 - 2\/(-5)) + d. What is the third smallest value in 4, -1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5573\/12 smaller than -463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3612000.\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265546 is divided by 84?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1686 and 18.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 65*r - 252*r + 207*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5202 and 612?\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/741472 and -79\/661572.\nAnswer: 153484704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 0 - (-6)\/(-21). Suppose b = 8*s + 330 + 206. Calculate the common denominator of (s\/(-1))\/(31 - 5) and -40\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:50 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160115 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3483 + 5737. Calculate the lowest common multiple of j and 22.\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64176 - 35423 = -704*v - 970*v - 83405 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*p. Let h = p + 67. Suppose 4*q = -0*q + h. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99923 - 53380. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 16.651, 0.4, -7 in increasing order.\nAnswer: -7, -3, 2\/7, 0.4, 16.651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -104043?\nAnswer: -104020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-three quarters of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37695, 37720, 37803, 37974, 38263?\nAnswer: 38700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -146418 <= -146422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 - 5*k**4 - 15*k**3 + 25*k**2 - 10*k = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - t + 1, 5*r - 6*r + 4*t - 16 = 0. Suppose 5*g - f + 33 = 3*g, r*f = g + 20. Let b = -2 - g. Calculate the remainder when 27 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2165655 - -3?\nAnswer: 2165660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, d: 4}. What is prob of sequence td?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*q - 132*q - 88 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 + w + 0*w + 128 + 22 to h + d*w and give h.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 23. Suppose -1 - 17 = b*f. Let n(c) = -2*c - 1. Let o(y) be the first derivative of -y**2 - y + 1. Give f*o(p) + 7*n(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107212994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*v - 2*m, -2*v - m = -2 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13507696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + ((sqrt(1331) + sqrt(1331) + sqrt(1331)*1 + -5)**2 + sqrt(1331) - sqrt(1331)) + 0 + -1.\nAnswer: -330*sqrt(11) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 34*p + d - 13 = 0, -5*d - 37 = -2*p. Solve 9*j = 3*s + p*j - 24, 0 = -2*s + j + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v + 472 = 2*l, -2 = -2*v. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 82*i**6\/3 - 11*i**3\/3 + 17*i**2\/2 + 2*i - 4230. What is the third derivative of u(p) wrt p?\nAnswer: 9840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -2)*20\/(-30). Suppose 5*m - 72 = -g*n - 3, 7 = n - 3*m. Calculate the smallest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1214 + -1209. Solve 3*t + 15 = -3*r, -n*r = -t + 4*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let j be 19 + a + 4\/(-2). Suppose 0*g = -3*g + j. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1600.8 - 1600.8046152. Round v to five decimal places.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let v(f) = -33548*f**2 + 3*f. Calculate v(r(j)).\nAnswer: -134192*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -1\/37 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -19 - 4 - 3*g + 4 + 4. Let c be r(-6). Let j be 93 - (1 + -3) - c. What is the highest common factor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 29393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 3, s: 1, p: 5, w: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-95))\/((-1)\/(-2)))\/(-1).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + t**3 - 14901 - 5*t + 14889 + (5 + 0 - 3)*(-1 + 1 + 2*t**3) - 3*t**3 + 3*t**3 - 2*t**3 to f*t**2 + a*t**3 + g + j*t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 169284438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735197045.\nAnswer: 5, 11, 17, 786307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.82951 rounded to two dps?\nAnswer: -7.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -202. Let q(v) = -v**2 + 11*v - 10. Let a be q(8). What is the highest common factor of a and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:33 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 70345 = 3*q - 331870, -5*j + 348662 = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3936, 3940, 3948, 3960, 3976?\n\"Answer: 2*y**2 - 2*y + 3936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 2*a**2 + 7*a - 25. Let z(l) = -2*l**3 + l**2 - 5*l + 25. Give -3*x(b) - 2*z(b).\nAnswer: -2*b**3 + 4*b**2 - 11*b + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/16 - 31200001\/(-4). Round i to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 69127437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/15 - 141322*q**3\/15 + 56530*q**2\/3 - 141326*q\/15 = 0. Calculate q.\nAnswer: -70663, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -83 + 36 + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 2247 = -2439. Solve -j = 10*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -6 - 79)*2\/8. Which is smaller: -21 or z?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -23, 5\/7 in decreasing order.\nAnswer: 5\/7, 2\/13, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -7, -1 in increasing order.\nAnswer: -7, -1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1807, -0.5, -5\/7, 13, -11, 1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/((-7)\/21). Suppose 4*o = -o + d + s, 2*o + 6 = 5*d. Suppose 665 = o*i + 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(35\/5)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -797*d + 3199*d - 615 - 800*d - 797*d - 802*d in the form c + q*d and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8461104 is divided by 1847?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.80493 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 2 z when four letters picked without replacement from {q: 4, z: 6, o: 3, k: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j*(j**(1\/6)\/j)\/j)\/(j**(-1\/4)*j)**(1\/39) assuming j is positive.\nAnswer: j**(-79\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 1\/3*g**3 + 7\/2*g**2 + 0*g + 21. Calculate p(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 + 862*a**2 + 4157*a**2 + 145 + 109.\nAnswer: 5019*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 equal to 319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-81)\/26)*(-22)\/(-33). Sort t, -4, -3 in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001110111010 (base 2) in base 9?\nAnswer: -82314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -253 + (-5)\/20*-4. Let c = g + -83. Let p = 506 + c. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 2. Let b(a) = 2*a - 3*a + 1 + 2. Let d be b(3). Solve d = -3*n + k - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*q - 11, 0 = -q + 4*r + 12 + 10. Let a = -4 - q. List the prime factors of (2\/a - 0)*-69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427513 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*12048\/14056.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*t + 35314, w + 13719 = 5*t + 1935. Round w to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**3 - 9*x**2 + 25*x + 98. Let g(l) = 4*l**3 + 4*l**2 - 12*l - 49. Let r(w) = -5*g(w) - 2*o(w). What are the prime factors of r(-5)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (38 + -61) - (12 - -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10798\/8 + 17)*8. What is the highest common factor of g and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 10*y + 5. Let v be i(-10). Let j be 1\/(2 - (-2 + v)). Let o(b) = b**2 - 1. Let s be o(j). Which is bigger: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*w + 659, 5*n - 10*n + 679 = w. Let h = -103 + 239. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (0 - (5 + 4 + -27 + -27))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + 7\/12. Let b = k + 5\/36. Solve 2\/9*f + 0 - b*f**2 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from diiiiiziividiiiii.\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0539 + -10254322.\nAnswer: -10254322.0539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (44\/66)\/(((-8)\/18)\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -23. Let k(s) = 4*s**3 - 4*s + 3. Let j be k(1). Sort j, -3, y in increasing order.\nAnswer: -3, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -137*f**2 + 7. Let i(z) = -4704*z**2 + 240. Let y(d) = 7*i(d) - 240*n(d). Let w(x) = -268*x**2. What is y(w(k))?\nAnswer: -3447552*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6543 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 1. Let j(n) = 1. Determine 2*j(v) - 2*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 5 + 5)*(3 + 8 + 15) to the form t*l + p and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 2. Let j be n(2). Suppose 3*u - j = u. Suppose -4*v - 32 = -c - c, 0 = -u*c + 5*v + 67. What is the least common multiple of 2 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12198 and 300062668.\nAnswer: 4066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0.5 (c) -1\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (702 - 520 - 1725 - 103 - 3095)*(-5*y + 2*y + 2*y).\nAnswer: 4741*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnndnn. Give prob of sequence nn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - 4*v + g, 4*g - 12 = 2*v. Let d be 68 + v\/1 - -1. Suppose 21 = 6*n - d. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 6309324?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0977 - -0.1023. Is 46\/15 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001111000 - -10220121?\nAnswer: -1220120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -479 or -777735\/1622?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 6*c**4 - 7*c**4)*(2 - 2 + 2 + 0 + 0 + 1 + 1 + 2 - 2 + (-2 + 0 + 4)*(1 + 1 + 0) + 1 - 2 - 1 - 3 - 2 + 3)*(0 + 0 + 1).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/972 and 37\/36271890.\nAnswer: 1958682060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24438 (base 10) to base 6\nAnswer: 305050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 - 7*b**5\/60 + 7*b**4\/24 - b**3 + b**2. Let n be g(-10). Suppose 5*a - 21 = n. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -458e2?\nAnswer: -458e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-four fifths of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*u*u\/(u\/(u**(2\/3)\/u)))*u)\/((u*u**(3\/4))\/u)*(u**(-1)*u)**(-2\/31))**(-2\/9))**(-12) assuming u is positive.\nAnswer: u**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 12 - 10*w + 16*w. Let g be y(-4). What is the tens digit of ((-84)\/30)\/(1\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -100. Suppose 7*z + c*j - 2590 = 2*z, 0 = 4*z + 2*j - 2078. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281072590 to the nearest integer?\nAnswer: 16765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27114360 a multiple of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -5*z - 115, -81330*j + 81331*j + 35 = -2*z - 3*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4326 and 89\/223235814?\nAnswer: 1562650698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - 10*r - 27*r + 90*r + r.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:42 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -17.5 (c) 2\/53 (d) 0.2 (e) -0.03 (f) 5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + o + 89 - 82, 3*w - 3 = 3*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:40 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.3. Let d = 11.5 - 39.3. Let w = d + 28. Which is the biggest value? (a) u (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7492 is divided by 374?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or 358?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3407 (b) -0.4 (c) -1 (d) -1\/7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13503*l**3 + 17086*l?\nAnswer: -81018*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10841 = 445*j + 8616. Let k(i) = 4*i**2 - 3*i + 1. Let s = 11 - 8. Let r(c) = -7*c**2 + 5*c - 2. Calculate j*k(t) + s*r(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46701787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000471216658 to 6 dps.\nAnswer: -0.000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 - 2*f. Let g be p(1). Suppose w = g*w - 350. Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/j*j)**(-11\/5)*(((j**(2\/5)\/j)\/j)\/j)**(-36) assuming j is positive.\nAnswer: j**(6106\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 2*z**2 - 2*z - 1. Let x be g(-1). Let k(u) = -x*u - 8*u**2 + 0 - u**3 + 4*u**2 - 3 - u. Let b be 16\/(-6) - (-1)\/(-3). Calculate k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 36*z**5 - 27424*z**4 + 479904*z**3 - 2792448*z**2 + 5140800*z + 1285632 = 0.\nAnswer: -2\/9, 6, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 1 + (-28 - -29)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856520 is divided by 20388.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/72 + k**3\/18 + 4*k. Factor c(l).\nAnswer: -l*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:30 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068249889 rounded to 7 decimal places?\nAnswer: -0.0006825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - 49\/(-28)*32\/28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 1 + 1)*(-82078*h - 15*h**2 + 81968*h - h**2).\nAnswer: 16*h**3 + 110*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 + y + 2. Let s be k(0). Which is the fourth smallest value? (a) s (b) 1\/3 (c) -0.4 (d) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8014 - -14087. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*n, 0 = f + 4*f - 4*n - 28. Suppose 5*k + 0*m = -m + 20, -f*k = 3*m - 27. Suppose -k*d + 6 = -0. Solve -d*p + 0 = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-1)*1\/(-9)*63\/(-7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z**2 + 22*z + 172. Let k be q(-6). Let o = k + 523. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - k = -7, -3*k + 33 = 4*o. Let w be (-9)\/o + (-78)\/(-8). Which is the nearest to w? (a) 2\/3 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from fcqcwzqlw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -69*z. Let w(h) be the third derivative of 5*h**4\/8 - 455*h**2 - 1. What is o(w(j))?\nAnswer: -1035*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luuzpimz. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 28 = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2482*u = -2483*u + 19417. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31234471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -2 (b) 47 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4\/4 + 17*g**3\/4 - 11*g**2 - 5*g = 0.\nAnswer: -5, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 33. Let i be c(-18). Let d(n) = -5*n + 4 + 6*n**2 - n**3 + 3 - 4. Let y be d(i). Calculate the greatest common divisor of y and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 709, 707, 703, 697, 689?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321373.\nAnswer: 13, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -66*v - 48. Let p(c) = 152*c + 97. What is -7*h(y) - 3*p(y)?\nAnswer: 6*y + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12920 >= -12922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222577.\nAnswer: 73, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/11 + 162\/(-11). What are the prime factors of 33\/(8\/((-3040)\/o))?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21117\/32 + -4878215\/7392. Calculate the common denominator of -76\/1155 and i.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 261 = -2*d, -20*q + 79 = -21*q - 2*d. Is q bigger than -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306444 divided by 4.\nAnswer: -76611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 - -5.58. Let k = p + -9.94. What is the closest to 1\/3 in 0.1, k, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15505943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 + 15. Suppose 5*l = -3*k - 14, 5*l = -3*k + 6*k - 26. Let t(x) = -3*x**2 + 0*x**k + x**2. Determine n(t(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 1. Give d(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 12. Determine x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/4)\/((1078\/21)\/11)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 4, u: 2}. What is prob of picking 1 m and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -927, -1838, -2723, -3582, -4415, -5222, -6003?\n\"Answer: 13*v**2 - 950*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*z + 19, -13 = h - 4*z - 3. Suppose h*x + 2 = -8, 33 = y - 3*x. Calculate the greatest common factor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 3*d**2 + 12*d + 2. What is the units digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220120120 (base 3) to base 6.\nAnswer: -214540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.43 * -3\nAnswer: 16.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -55*x + 1. Let s(p) = -115*p**2 + 10*p - 19. What is s(b(l))?\nAnswer: -347875*l**2 + 12100*l - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4b19b (base 12) to base 8\nAnswer: -307507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 5. Let y be k(5). Suppose -27 = -y*o - 3*o. Let p = 8 - 7. What is the greatest common divisor of o and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -z + 99. Let m be z\/(-35) - (-16)\/28. Let r(q) be the second derivative of q**5\/10 + q**4\/12 + q**3\/6 + 2*q. Give r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**13*d**(-4\/13)*((d*d\/(d\/(d**(3\/10)*d*d))*d)\/d)\/((d\/(d\/(d*d*((d**(-1\/12)*d*d)\/d)\/d)))\/d) assuming d is positive.\nAnswer: d**(11759\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 195 - 11d?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*s + 49 - 32, 9*j + 2*j + 4*s = 43 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12.8 times 3.1135\nAnswer: 39.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-4 + (9 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 15*k - 14. Calculate a(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*c - 43, c - 68*s = -78*s + 11 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 85) + (7 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1506006, -1506003, -1505998, -1505991?\n\"Answer: a**2 - 1506007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 227623.456 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3893 + 1876. Round m to the nearest 10.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/368094 and 121\/24.\nAnswer: 1472376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-18))\/(62\/(-279)). Sort -32, 2\/3, h in decreasing order.\nAnswer: 2\/3, h, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdom when four letters picked without replacement from oxxoxoxxomvodxoomvxo.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 700, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m - 61*m - 20 - 58 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5746, 5793, 5872, 5989, 6150, 6361?\nAnswer: 6628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o**4 + 4*o**4 + (-32*o**3 - 28*o**3 + 11*o**3 - o**2)*(2*o + 2*o - 5*o).\nAnswer: 51*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((2*-7)\/((-52)\/(-130)*-45)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 2188*x**2 - 302464*x - 887808 = 0. Calculate x.\nAnswer: -272, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 5*z + k + 2*k, 0 = -z - 5*k + 54. Let y = z + -59. Let x(m) = -m + 1. What is x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268363414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.75911 rounded to two dps?\nAnswer: -12.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 1 + 1)*(-w**2 + 8*w**2 - 4*w**2) to u*w**2 + s + y*w + m*w**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 627 and 741?\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612194 is divided by 203.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 9. Let b(x) = -x - 3. Let l(q) = -3*b(q) + y(q). Let c(f) = 2*f**2 + 31*f. Give c(l(w)).\nAnswer: 2*w**2 - 31*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/7 + 4*g**4\/7 - 10*g**3\/7 - 20*g**2\/7 + 8*g\/7 + 16\/7 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 2*u**4 + u**4 + (-22*u**3 + 605*u - 605*u)*(-u + 3*u + 0*u) - u**2 + u**2 + u**4 to the form r*u**4 + s*u + y*u**2 + o*u**3 + i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -278, -664, -1214, -1934, -2830?\nAnswer: -3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -10, -9.8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3116 + -3171. Is r at least as big as 1\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-72))\/5*(-1638)\/819?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7206757 or -1\/6?\nAnswer: -7206757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.85 + -0.85. What is the second biggest value in 0.4, k, 2, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6776 divided by 3163.\nAnswer: 6776\/3163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p - 338 + 553 - 435 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*s**2 - 2*s**3 + 2 + s + 7*s**4 + 4 to the form o*s**3 + b + u*s**4 + h*s**2 + f*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*q**4 - 29*q**4 - 12*q**6 + q**6 + 13*q**6 + 339*q**2 wrt q.\nAnswer: 240*q**3 - 1992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108483 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 55 = 8*u. Suppose -5*p - 19 = 4*d - d, -u*d = p + 17. Let n be (1 + p - -1)\/(-6 + 9). Solve n = 4*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950216 and 759?\nAnswer: 21452376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 3, n: 1, y: 2, f: 3, o: 2, i: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7728257 micrometers to centimeters.\nAnswer: 0.00007728257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 14\/1471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8134 divided by 28712\nAnswer: -4067\/14356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3173055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25770713, -25770718, -25770733, -25770764, -25770817, -25770898, -25771013?\nAnswer: -25771168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 50 = -4*o, 339*m + 3*o = 337*m + 37 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + 25499 + -25519.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:14 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 105. Let c be (-5)\/(0 - n)*5680\/(-50). Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2203043 - 1243?\nAnswer: -2204341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -1.6. Let v = -3 + 2.9. Let s = -0.6 - v. Which is the nearest to l? (a) -0.3 (b) s (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27720 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/171 and (3 - 2) + (-588)\/(-216).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yiiuys.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10455019 is divided by 2090993?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11302 and 866.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-46991)\/(-7 + 0). Let w be -1*(-5 + x\/1341). Are w and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1539 - 1537. Let u(r) be the first derivative of 13\/6*r**6 + 0*r**3 + 6 + 0*r**4 + 0*r**5 - 5*r**o + 0*r. What is the second derivative of u(m) wrt m?\nAnswer: 260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*y**5 - 14943474*y**4 + 2808495*y**2 - y + 7.\nAnswer: 2040*y**2 - 358643376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(84\/8))\/(4*5\/(-210))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 11:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.881598 meters?\nAnswer: 881598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -100092, -200091, -300090, -400089, -500088?\n\"Answer: -99999*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 15*r - 3. Let c be a(16). Let s = -4 - c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69185 divided by -5.\nAnswer: 13837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12860620 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w**(2\/3)\/w)*w**(-1\/5)*w*w)\/(w**1*w**3\/w))\/((w*w**(-2\/3)*w)**(27\/4))**31 assuming w is positive.\nAnswer: w**(-4153\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -184 (b) -2\/17 (c) -5 (d) 0.3 (e) 74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 85 - 47 = 0. Let p be (-4)\/22 + (-634)\/22. Let o = p + n. Solve o*t + 0 - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -k - 3*k. Let x(q) = -2*q + 6. What is the remainder when x(-6) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1 - (-14)\/12). Let t = -0.08 + -1.92. Let w = -134 - -133.5. What is the nearest to t in 0.3, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.715 rounded to 1 decimal place?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 149*s\/7 + 3658\/7.\nAnswer: (s - 118)*(s - 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36011c - 1?\nAnswer: -36011d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + -0.38. Let x = 0.4 + u. Let q = -1.1 + 1. Which is the closest to q? (a) 3 (b) -2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405291130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.2 (b) 4\/5 (c) 2\/15 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -226087.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8*(9 + -3). Suppose 16 = l*r + r. Suppose -5*g + 51 = r*k, 2*k - g - 31 = 2*g. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*s - 43*s**2 + 63*s.\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214 + -128. Let q = -21 + v. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k**4 + 24*k**2 - 1\/4*k**5 + 0*k + 1\/6*k**3 + 0. Differentiate d(a) with respect to a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - -3*(sqrt(99) + 2*sqrt(99) + sqrt(99)))\/sqrt(9) + (-1 + sqrt(11) + 5 - sqrt(11)) + sqrt(11) + 2.\nAnswer: 6 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 56 = -2*o. Let n = -9 - o. Let r(h) = 5*h**2 - 3*h + 9. Let i(t) = 3*t**2 - 2*t + 5. Let l(g) = 7*i(g) - 4*r(g). Give l(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 3*o + 1. Let m be h(13). Let n = m - 172. Suppose 4*c + 4*l = n, -c - 3*l = -13 - 9. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/54 - 2*a**3\/27 + 12*a - 7. Let n(u) be the first derivative of q(u). Factor n(b).\nAnswer: 2*b*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7 (b) -2\/11 (c) -2\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-56 + 56 + 2*v**2)*(2271 - 1188 + 522)*(-3*v - v + 5*v).\nAnswer: -3210*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81 - 55) + (-36 - 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from iiwoijji.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:20 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 + 19*l**2 + 130*l**2 + 122*l**2 + (-1 + 1 - 5*l**2)*(2 - 5 + 1)*(5 - 1 + 1).\nAnswer: 314*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, b: 4, r: 1}. What is prob of sequence xxr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/11)*q)\/(q*q**(1\/5)))**32 assuming q is positive.\nAnswer: q**(2048\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -30 + 10. Let n = 122 + -57. Suppose 0 = 13*m - 0*m - n. Calculate the remainder when m is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 + 167769*g**3\/2 + 188725*g**2 - 419403*g\/2 - 62910 = 0.\nAnswer: -41940, -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 74719722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 26*t**2 - 55*t + 4. Let l be r(-28). Does 28 divide 1137\/2 - (10 - (-228)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 1221 = 33*a. Sort a, -1, 4, -4 in descending order.\nAnswer: a, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, -3.\nAnswer: -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-15)\/6 - (-21)\/6. Suppose 5*i - 441991 = 3*i + j*y, i - 220985 = 5*y. Round i to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39102.01ml in litres?\nAnswer: 39.10201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110042431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 693061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7791*m**2 + 15566*m**2 - 7799*m**2.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -25, -65, -125?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**7\/280 + d**6\/80 - d**4\/16 + d**3\/8 + 3*d**2. Factor k(r).\nAnswer: -3*(r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156.465 - -0.4102\nAnswer: 156.8752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*g*j**3 - 59*g*j**2 + j**3 + 2*j**2 wrt j.\nAnswer: 390*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21930516 and 65791548?\nAnswer: 65791548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.2. Let n = -3.02 + 0.02. Which is the closest to n? (a) y (b) -2\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 7, t: 1, u: 5}. What is prob of picking 2 u?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2183 to two decimal places.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0 + 15*b**2 + 0*b - 1\/12*b**4 + 1\/60*b**5 - 7\/2*b**3. Is 14 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**4*o - 729136*j**3*o**3 - 14*j*o + 6*j - o**3 + 2348*o - 2 wrt j.\nAnswer: 36*j**2*o - 4374816*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 886148160 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14190712, -28381414, -42572116?\n\"Answer: -14190702*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/2 - 2593*n**2\/2 - 153992*n + 636744 = 0.\nAnswer: -2468, -129, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 10:59 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 19174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + d + 22 = 0, 94*d = 89*d - 30. Let t be 2\/(-8) - (-18)\/8. Solve -5*f = -3*k - 8, o*k + f - 12 = t*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4.6.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 54. Solve 3*d + 6 = 0, -4*k - d = d - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/4 of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/7 - (-550)\/7. Let s be 5405\/6 + 13\/h. Suppose -u = -2*o + 893, -3*o - 4*u = -s - 466. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - (-1803)\/15. What is the highest common factor of k and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 13*l - 11. Determine f(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -369589\/3 + 123197. Find k such that -80*k - n*k**3 - 96 + 46\/3*k**2 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -642.3314.\nAnswer: -641.9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 424, 2, -55 in increasing order.\nAnswer: -55, 1, 2, 3, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664706 is divided by 127.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 432*i**2 + 446*i. Calculate v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 15*f - 48. Let c be u(6). Let s(t) = -2*t + c*t + 7*t - 12*t. Let r(a) = -a**2 + 26*a. Give r(s(h)).\nAnswer: -h**2 - 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t - 36. Let r be s(5). Let w = r + -24. Suppose -7*o + w = -11. Solve 0*x = -2*x - 3*h + 9, 9 = 4*x - o*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 241, 11, -7.\nAnswer: -7, -4, 0, 11, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 0*p - 6*p + (2*p - 2*p - p)*(3 + 4 - 4).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, l: 1, b: 4, j: 1, q: 3}. Give prob of picking 2 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y + 9*y)*(5*y**2 + 0 + 0) + y**2 - 2*y**3 - y**2.\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 87*y**2 - 3623*y\/2 + 1725.\nAnswer: -(y - 150)*(y - 23)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4332 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**2 - 3*p**2 - p - 2*p. Let n(r) = 0*r - r**2 + 5*r - 4*r. Let b = -1 - 0. Give b*v(g) - 3*n(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 4*o - o**4 + (2 - 2 + o)*(-371*o**3 + 100*o**3 + 171*o**3) to the form d + u*o + s*o**2 + q*o**4 + x*o**3 and give q.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + s + 6. Let y be i(3). Let q be 38\/y*-3 - 4\/6. Suppose -5*n + 4*g + 72 = -529, -3*g = q. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -607350 in -0.4, 1\/5, 2\/167?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22972 divided by -4.\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3584 and -5.828?\nAnswer: -2.0887552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -48*p**2 - 2*p. Let i(q) be the third derivative of 13*q**4\/24 - 1496*q**2. What is i(n(g))?\nAnswer: -624*g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/16*(-8376)\/292113.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-18))\/(1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n**2 + 21*n**2 - 44*n**2 + 2*n + 12*n**3 as v*n**2 + z*n**3 + m + s*n and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19881*z + 21537*z + 1656 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**6\/5 - 13*v**3\/6 + 5*v. What is the second derivative of y(m) wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*j**2*o + 261731*f**2*j*o**2 - 2*f*j**2*o**2 + 11*f*j**2*o - 218*f*o**2 - 61*j**2 wrt f.\nAnswer: 4*j**2*o + 523462*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 355891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 8, 2\/7.\nAnswer: 1\/12, 2\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3648 and 456.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95970 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, -353\/15, 10, 2\/9 in descending order.\nAnswer: 10, 2\/9, -353\/15, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.22 plus 2.22?\nAnswer: 25.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b + 24 = 46*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11710 and -13\/8.\nAnswer: 46840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3. Suppose 0 = d*y + 5*q - 140, -4*y = 7*q - 2*q - 190. Suppose -3*n + n + 2*j + y = 0, 0 = -n + 4*j + 37. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6, 5*t = 5*f + 1190 + 350. Is t a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/75 - w**5\/25 - w**4\/30 + 2*w**3\/15 + 30*w. Factor q(t).\nAnswer: 2*t*(t - 2)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/2)\/r)**(1\/9))**(-29) assuming r is positive.\nAnswer: r**(145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 1. Solve 2*y - h - 13 = 0, y - 4*h + o - 18 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68*2*2\/(-31)*10633\/(-5488)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3115770, -3115773, -3115776?\nAnswer: -3115779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*b**5 + 394*b**4 - 1753*b**3 - 6308*b**2 + 1424*b + 64 = 0. What is b?\nAnswer: -4, -1\/26, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b. Suppose b = o - 1 - 3. Suppose y = 5*y - o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040067088 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14436339 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35974.\nAnswer: 2, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51823, -103648, -155473?\n\"Answer: -51825*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2) + -2 - (9 - 15). Let i(t) = 41*t - 103. Calculate the remainder when i(s) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33, 1 in descending order.\nAnswer: 1, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52248, 100886, 149524, 198162, 246800?\nAnswer: 295438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -888964608 divided by 128\nAnswer: -6945036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 728*o - 26946. Calculate f(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -83, -52, -5, 64, 161, 292, 463?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4093 * 0.094\nAnswer: -384.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 - 2*h**4 - 5116187*h**2 - 431416*h - 9?\nAnswer: 20*h**3 - 24*h**2 - 10232374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 3*l + 50 - 27.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-5)*45\/18 + 51. What is the second derivative of b*c + 6*c**4 + 35*c**4 - 37*c wrt c?\nAnswer: 492*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-2 - -3 - 5) - -6) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 3. Let h(a) = 4*a - m*a + a**2 - 33 + 33. Give h(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3690 = 3642. Let z = -2 - -1. Is z equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 9.6836?\nAnswer: 9.6836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 6*p - 8. Let h be y(8). Solve 2*o - h = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 15. Suppose 12 = 4*o + 4*y, t*o - 56 + 6 = 2*y. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25544, 25662, 25780, 25898?\n\"Answer: 118*k + 25426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.749 milligrams in nanograms?\nAnswer: 875749000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4972, 9918, 14864, 19810, 24756?\nAnswer: 29702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 1. Let k = 5 - 6. Let v be i(k). Let l = -89 - -357\/4. Sort 1\/5, v, l.\nAnswer: 1\/5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*l - 395*l + 8*l**2 - 6 + 5*l**3 + 324*l as j*l**3 + c + y*l + r*l**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -p - 0*p + 2*k, -16 = -p - 3*k. Solve -p = o - 2*o, 3*o + 17 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.1194297 - 5.1145. Round c to 5 dps.\nAnswer: 0.00493","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.3 (b) -0.511 (c) 0.9328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 0, -1, -5, 15 in decreasing order.\nAnswer: 15, 3, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m - 3. Suppose -27 = 9*c + 18. Let d be (c - -3) + (-7 - -6). Calculate j(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:03 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 352 - 35*c**4 + c**3 - c**3 + 3*c - 69*c**2 + 33*c**4 - 353 in the form h + s*c**3 + n*c**4 + f*c + i*c**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in 1, 1.4, -2, -1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -192*s**3 + 4*s**2 - 4. Let k(g) = 38399*g**3 - 799*g**2 + 799. Calculate -4*k(i) - 799*t(i).\nAnswer: -188*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118342 is divided by 4225.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 21 = 7*k. Suppose 6 = -6*m + m + 4*c, 5*m = -5*c - 15. Let f be m*(-3)\/(18\/15). Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-20 - (-1 - 0)). Suppose -2*y - 12 = 2*a, -3*a + 32 = -4*y - 5*a. Let z be (-3)\/(6\/4)*y. Calculate the greatest common divisor of z and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6343?\nAnswer: 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 3. Let y be t(1). Differentiate -41 + 27*f**3 + 9 - y*f**3 with respect to f.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + (sqrt(66)\/sqrt(3) - sqrt(22))\/sqrt(2).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1391 + 7*q**3 + 9986*q - 9*q**2 + 2*q**2 + 3033 + 4*q**2 - 9854*q wrt q?\nAnswer: 21*q**2 - 6*q + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Let d be ((-38)\/(-5))\/(4\/(-20)). Let m be d\/(-8) + 6\/24. Solve -g*t - 3*x + 1 = x, -3*t + m*x + 19 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 26 + 302*z + z - 305*z + 7.\nAnswer: -2*z + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*y - 40, 2*y = -3*y + 2*b - 37. Let g = -175 + 523\/3. What is the third smallest value in -2\/9, 5, g, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490133081 a multiple of 1785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/168 - (-5)\/(-12)*-3.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 169*k**4\/60 - 39*k**3 + 405*k**2\/2 - 1602*k. Factor t(i).\nAnswer: (13*i - 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, g: 1, n: 1, t: 2, o: 1}. Give prob of sequence ob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 411029627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/2*1 - (-5 - -8). Find the third derivative of 11*q**6 - 18*q**2 + 15*q**6 - 4*q**r - 4*q**2 wrt q.\nAnswer: 2640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 16*t**5 + 8*t**4 - 263*t**3 - 127*t**2 + 112*t - 16 = 0.\nAnswer: -4, -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from ovvvvvveeephvevhehe?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/12 - u**3 + 9*u**2 + 38*u. Let f be q(-15). Let w = -60 - f. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6267 is divided by (-15680)\/(-35)*2\/4?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + (-2 - 2 - 19) + 21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.57317 decades to millennia.\nAnswer: 0.6157317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 252.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8098.75 to the nearest ten.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7553*c**3*w**3 + 3405*c**3*w**2 + 5*c**2*w**3 + 2*c**2*w**2 + c**2 - 698*c*w**2 - c*w + 751*c wrt c.\nAnswer: -45318*w**3 + 20430*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 142 = 170. Let u(k) = 60*k + 3. Calculate the remainder when u(1) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*r**3 + 3*r**5 + 227*r**3 - 478*r**3)*(-1 + 0 + 3)*(5 - 5 - 2).\nAnswer: -12*r**5 + 436*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739 - -2125. What are the prime factors of z?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11644 and 110372.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858 - 294 = -97*x - 309 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 12. Suppose -2*b = -g*u - 10, u = -3*u - 4. Suppose -6 = d + 3*m, 4*m = b*m - 5. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -1 - 1*1978. Suppose 10*i = 8*i + 16. Let c be (-4)\/i + b\/2. What is c rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h + 4. Suppose 0 = -5*k + 5*j + 5, j + 13 = 4*k - 0*k. Determine y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 60630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(23 - 1). Let j(g) = -20*g**3 + 784*g**2 - 156*g + 15. Let x be j(39). Solve -i*r - x = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2012111 (base 3) to base 10\nAnswer: -1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82104)\/12672 + (-15)\/80?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92053 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000487808 to six decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 3, -6*l - 26 = -37*n + 41*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 0*u**3 + 0*u**3)*(5*u + u - 8*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 56 + -75 + (8 - 1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2373, 1, 0.4, 0.05?\nAnswer: -2373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125242 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1412 - 1376. Solve -9*g = -0*g + m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*11\/(-20)*504\/1449*-23?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = 8*v - 3*v, 0 = -5*h - 3*v + 14. Suppose 0 = h*t - 13626592 + 2826592. What is t rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**(5\/11))**(-11)\/((g*g**(2\/9))**(24\/7))**17 assuming g is positive.\nAnswer: g**(-1601\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 3*q**2 - 2*q + (7*q - 2*q + 0*q)*(16 - 16 - 24*q) + q - q**2 - q + 2*q - 2*q - q**2 to the form g*q + k*q**2 + v and give k.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 - 5327*s\/3 + 6860 = 0.\nAnswer: 35\/9, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-3)*3297\/28. Let n be 6\/(-14) - y\/84. Are -5 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*p**3 - 65*p**3 + 33*p**3 - 85*p**4 - 64 - 147 wrt p?\nAnswer: -340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 5. What is d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 - 19*z - 9. Let t be d(5). Which is greater: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let s be (0 - 0\/(-2)) + (-4)\/(-2). Let k(x) = -7*x**2 + 13*x**s + 10*x**2 - 3*x**2. Give k(z(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101691647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -128*g**3 + 6*g**2 + g - 4. Let j(y) = -85*y**3 + 4*y**2 + y - 3. Let u(p) = 7*j(p) - 5*s(p). Is u(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42786 divided by -4?\nAnswer: 21393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -21*g**5 - 1566*g**4 - 13719*g**3 - 43326*g**2 - 53328*g - 18720 = 0.\nAnswer: -65, -4, -3, -2, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20172997 - 7*w + 20172997. Let v(q) = -18*q**2 + 3*q. Let i(r) = -17*r**2 + 4*r. Let t(a) = 3*i(a) - 4*v(a). Determine b(t(c)).\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -10. Let g(o) = -o. Let x be g(v). Suppose -8*y + 6 + 2 = 0. Are x and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 2177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - 69) + (-1 - 7) - (4 + -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by -51740\nAnswer: 121\/51740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let y(l) = -9*l**2 + 7*l + 7. Let w(t) = 5*t**2 - 4*t - 4. Let v(z) = -7*w(z) - 4*y(z). Calculate j(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**1\/r))*r)**(-6)\/(r\/(r**(-7)*r)*r**(2\/17)) assuming r is positive.\nAnswer: r**(-325\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*k**4 + 545*k**3 + 555*k**2 + 195*k + 5.\nAnswer: 5*(k + 1)**3*(36*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/12, -1.6, -0.01, 3 in descending order.\nAnswer: 4, 3, 1\/12, -0.01, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114 and 339526.9761.\nAnswer: 339640.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 75 = -71 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*v + 7, -5 = 5*x + 4*v + 5. Suppose 2*h + h - x*u - 18 = 0, 0 = -u. Calculate the highest common divisor of 192 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2 (c) 3 (d) -172 (e) -668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.7639 - -80.33. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17983217*b**2*y + 288*b*y - 2*y - 3875 wrt b.\nAnswer: -35966434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*2070\/29325*5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9726, -10164, -10602, -11040, -11478?\n\"Answer: -438*l - 9288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6100 is divided by 276?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:40 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -15033*l. Let w(h) = -3702*h. Determine w(r(x)).\nAnswer: 55652166*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/5)*d**(-4))**(-14))**29)**(-13\/6) assuming d is positive.\nAnswer: d**(-34307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -268*y + 345 - 345 + 256*y as b*y + m and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from jybtgtrrtjtgttjrgrgt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3352\/(-462) + (-1)\/((-12)\/(-8)). Let d = r + 84\/11. Let c(x) = -x + 6. Let o be c(5). Put o, -3\/4, d in increasing order.\nAnswer: -3\/4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96\/10*((-12)\/4 - -33)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 1, w: 1, u: 2, r: 1, l: 1}. What is prob of sequence urfa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 14*j + 60. Let t be f(10). Solve 1\/3*v**2 + 0*v + t*v**3 - 1\/3*v**4 + 0 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 6*z**2 + 5*z + 36. What is v(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8*81\/(-36)*(6 + 2 + -9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050658739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let g be (-4)\/3*(-5 + b). Suppose g*t - 2*p - 12 = 0, 4*t - 2*p - 6 = -3*p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -33 + (1 - -8) + (7 - 18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence andx when four letters picked without replacement from {d: 2, x: 5, n: 8, a: 2}.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 5, 2, -1010 in decreasing order.\nAnswer: 5, 3, 2, -10, -1010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u - 3*p, -2*p + 5 = 1. Let a = 497\/356 - 13\/89. What is the closest to -0.2 in u, a, -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 114111222?\nAnswer: -114111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 17331.\nAnswer: 27\/5777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*-493242\nAnswer: -1972968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/15))\/q)\/(q*q**11))\/(q**3\/q**14) assuming q is positive.\nAnswer: q**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046177*x + 331890*x + 94845*x - 621015*x.\nAnswer: -1240457*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 23265?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 6*r. Let l = -21 + 25. Let j be i(l). What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.5. Let v be 2 - (4\/(-6) + (-112)\/48). Let n(l) = -l - 3. Let o be n(-4). Sort v, x, o in increasing order.\nAnswer: x, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*y + 3*j, -24*y + 28*y + 1 = -5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17158 or -15878?\nAnswer: -17158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 31 = -26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1 (c) -5 (d) 80 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -35 in descending order.\nAnswer: 0, -15, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*p + 12, -5*p + 3*s = 34 - 33 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Determine b, given that -m*b**4 + 2 + 2*b + 4*b - 4*b**3 - 4*b + 2*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23122 + -11686. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220 + 1110122102?\nAnswer: 1110112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 12 - 23)*(-2 + 0 + 1)*(-5*i**3 - 5*i**3 + 61*i**3).\nAnswer: 1887*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -7*u + 16. Suppose 3*q = 10 - u. Differentiate 3*d**4 + 0*d + 2*d - q*d - 3 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048026707 to the power of 1\/2, to the nearest integer?\nAnswer: 32373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3022 = b - 3007, 0 = 6*m - 4*b - 90 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 4*f**2 + 5*f - 1. Suppose 0 + 1 = -t + n, -3*n = -2*t - 5. What is the units digit of r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(2\/4). What is the common denominator of i\/15*321\/4 and 131\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d - 1, 5*s - 95 = -5*d. Let i = 31 - s. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q - 8. Let c be 16\/(-28) + (-46)\/(-7). Let b be y(c). Solve -3*f = b*h + 9, h + 0*h + 3*f = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-192)\/40 - (-3)\/(-13 - 2). Let o be (1 - -1) + (-14 - 0). Let u = n - o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 57787 = 4*g, 2*g - 28889 = -119*j + 120*j. List the prime factors of g.\nAnswer: 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*w + 13, 2*s + 2 = 2*w + 4. Suppose 6*z - 3*h - 379 = z, z = w*h + 73. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:26 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11242.28 millennia?\nAnswer: 11242280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -12c2b54?\nAnswer: 12c2b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 17*v - 33*v - 306 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5277267+-1.69\nAnswer: 5277265.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32632816 is divided by 190835?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62302 + 13?\nAnswer: -62256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - d**2 - 996 - d**2 - 752.\nAnswer: -2*d**2 - 1474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 9, f: 3, b: 2}. Give prob of picking 3 n and 1 b.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -5 (b) 3 (c) -2\/299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2199b (base 16) to base 11\nAnswer: 94446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - t + 6*t + 30 = 0, -5*s - 18 = t. Let o be 3 + (s - (-1 - 2)). Let m(l) = 8*l + 1. Is m(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, g: 2}. What is prob of sequence ege?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 1. Let o = 30 - 22. What is the remainder when c(6) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173690556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42 and -3.003?\nAnswer: -1.26126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 228, 87, -56, -201?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -42, 2\/7, -0.3 in ascending order.\nAnswer: -42, -1.3, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7212849414.\nAnswer: 2, 3, 2137, 562537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 2. Let z(t) = 2*t - 17. Let v(y) = -5*i(y) + z(y). Let b be v(-3). Factor 2\/5*c**3 + 0*c**b - 6\/5*c - 4\/5.\nAnswer: 2*(c - 2)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and 37\/161204.\nAnswer: 806020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.08, -0.072, 1, 31 in ascending order.\nAnswer: -3, -0.072, 0.08, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000767 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 369\/280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(500) + 0)**2 - sqrt(5) - (1 + sqrt(320))).\nAnswer: -9*sqrt(5) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7*q - 1 = 2*h, -h + 2 = -q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3857\/(-76))\/(-29))\/(2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 4)*(3 - 12*l + 8*l - 1).\nAnswer: -24*l + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 598\/5 - 119. What is the closest to -0.2 in -5\/2, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.535307 tonnes?\nAnswer: 7535307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.464538 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2497\/1816)\/((-154)\/(-42))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/30 and -46\/429?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -52. Suppose -3*w = -2*w - b. Factor -w*f**4 + 6*f**3 - 3*f**2 + 12*f**4 + 10*f**4.\nAnswer: -3*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.074 + -0.074. Which is bigger: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*n + 6 + 26, -2*r = 5*n + 10. Suppose 8*m - 3*m = r. Let k(f) be the second derivative of f**3\/6 - f**2\/2 - 23*f + 1. Calculate k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10192.505 and -5.\nAnswer: 10187.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + a**2 - a. Let k be q(3). Solve -k*w - 3*o = 26, w - o + 2 = -0*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m + 7. Let l be b(-6). Sort -4\/7, -2, l in decreasing order.\nAnswer: l, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/8, 0.0033 in increasing order.\nAnswer: -1, -3\/8, 0.0033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 6. Let g be s(5). Let u(m) = -m**2 - 4*m. Let w be u(g). Let x = 1.14 + -0.14. Which is the closest to x? (a) 1\/2 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-4))\/((-6)\/(-411)). Let v = -13775\/28 + l. Is -47 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/48)\/((-3)\/4))\/((-12267)\/(-1128))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2665.6 rounded to the nearest 10?\nAnswer: -2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23739478.54 + 80?\nAnswer: -23739398.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2134404?\nAnswer: -2134400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 7*t**2 - 4*t + 4. Let n(q) = -3*q**3 + 7*q**2 - 5*q + 5. Let y(f) = -3*n(f) + 4*o(f). What is the least common multiple of y(-7) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 827239\/6 and 137872 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 29*q + 76. Determine p(29).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13943275, -27886550, -41829827, -55773106, -69716387, -83659670, -97602955?\nAnswer: -111546242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1942 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*k + 15300005 = 0, 2*k - 254994 = 2*n + 30345008. Round n to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88360 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 16*f + 41. What is the remainder when 23 is divided by m(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 19 + 215*p - 494*p - 16*p - 438*p. Let j be n(-6). Is (j\/(-2))\/((-28)\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*f*s*x**2 - 5*f*s*x + 3*f*x - 145*f + 2*s + x + 2 wrt x?\nAnswer: -20*f*s*x - 5*f*s + 3*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*o + 102*q - 106*q, 0 = -3*o + 2*q + 78. Solve 9*w = -o + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 at least 39531418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(168)\/sqrt(12))\/(sqrt(448) + (sqrt(448) - (sqrt(448) + (sqrt(448) + sqrt(448)*5 - sqrt(448)) - sqrt(448)))).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003559975 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5347, 13, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -353 - -3237. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616610000 rounded to the nearest one million?\nAnswer: 617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26687.11777 take away 28667?\nAnswer: -55354.11777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 154*r + 3. Let z(o) = 768*o + 14. Calculate -16*y(f) + 3*z(f).\nAnswer: -160*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/45 - 2*m**5\/25 - 11*m**4\/15 - 76*m**3\/45 - 9*m**2\/5 - 14*m\/15 - 77. Factor r(h).\nAnswer: 2*(h - 7)*(h + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-10)\/(-9)) + (-10)\/4. Let i(n) = -4*n + 93*n**2 - 1 - 49*n**2 - 43*n**o - n. Let s be (18\/(-4))\/(3\/(-4)). Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 6*q**2 - 3. Let o(j) = -j**3 - 8*j**2 - 8*j - 9. Let p be o(-7). Let c(h) = -h**2 - h + 1. Let s(d) = p*c(d) - u(d). Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 68. Find the common denominator of (-186)\/y*(-3)\/4 and -28\/101.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m + 5. Let v be n(4). Let f = v + 0. Suppose 3*t - 18 = 5*b - b, 0 = -3*t - 4*b + 18. Is f equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 55 - 3*l - 55. Let v(z) = 10*z - 12. Let t(i) = 9*i - 10. Let m(s) = -6*t(s) + 5*v(s). Determine y(m(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -1, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -165, -191, -239, -315, -425, -575, -771?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 30*u**2 - 1. Let d(q) = -7*q. Determine k(d(x)).\nAnswer: 1470*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 w when four letters picked without replacement from {w: 9, a: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d97 (base 15) to base 7\nAnswer: -11641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 1, a: 1, e: 2, l: 2}. Give prob of picking 1 a, 1 s, 1 d, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-472)\/(-34) + (96\/102)\/8. Solve 0*i = 2*i + 4*v + 10, -5*v - n = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11688629 to the power of 1\/2, to the nearest integer?\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 679631298 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 4, g: 1, h: 2, m: 1}. What is prob of picking 1 m and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36073, -2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5489820373?\nAnswer: 5489820373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197010362.\nAnswer: 2, 3, 2953, 67559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022112 + -1011220?\nAnswer: 10010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683763917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 + 16*g**2 + 5*g + 14. Suppose -17*n = -22*n - 55. Let s(f) = f**3 + 3*f**2 + f + 3. Let h(i) = n*s(i) + 2*v(i). Calculate h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77563206971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + t + (4 - 5 - 1)*(9*t - t + t) + 15 - 2*t - 15.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l**2 - 60*l**2 + 13*l**2 + 17*l**2 + 69 + 15*l**2 to the form n*l**2 + f*l + t and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-14)\/(112\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 12*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(-48)\/(0 + -8). Suppose -4*m + 28 - 92 = 2*a, -h*a = m + 81. What is the second smallest value in a, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 440 + -423. Suppose 0 = 2*m + 4*x - 16, p = 2*m + 4*x - x. Put 5, m, 0.3, 2\/23 in descending order.\nAnswer: m, 5, 0.3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**2 - v - 2. Let g be o(-8). Let m be (-4)\/(-18) - g\/45. Let x(r) = -3*r + r**2 + m + r - 17. Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11. Let p(i) = 8*i + 1. Let d be p(x). Suppose 88 = -d*t + 11*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 9 - (5 + 8\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + f - 34 + 1 to m + k*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*v - 18, 5*v + 11 = -w - 2. Find the first derivative of -90*i**2 - 30*i + 159 + 25*i**w + 24*i**2 + 22*i**2 + 24*i**2 wrt i.\nAnswer: 10*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 0.15. Let t = -4.16 - g. Let q = -0.1 - -0.1. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f - 2. Suppose -2*v = f*v. Suppose 5*k - 43 + 8 = v. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.336581 - 0.1676041607.\nAnswer: -0.5041851607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {c: 2, e: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 20*t + 23*t - 69*t - 2*t**2 + 11*t in the form w + l*t + a*t**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -633*3\/(-33) + (-970)\/(-291)*(-81)\/495?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31681\/5 + -6335. What is the closest to g in -1.3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-48))\/(((-4)\/152)\/(1\/10))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14881*j + 9448*j - 317*j - 1 to l*j + c and give l.\nAnswer: 24012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Sort t, 5, 6 in increasing order.\nAnswer: t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1192 and 271489622.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35*(-22)\/(-1540))\/((-11)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 325?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65919, -65902, -65881, -65856, -65827, -65794?\nAnswer: -65757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/6*(-21819)\/(-8312).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2043 and 53572.\nAnswer: 482148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -52. Suppose 99 = -5*p - 11. Let l = p - m. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-198))\/(((-125670)\/1562)\/177)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 + 84 = 5*k. Let d = 87 - k. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -102, 5, -1486, -5, -0.2 in increasing order.\nAnswer: -1486, -102, -5, -0.2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*x - 24*x + 73*x - 54540. Which is smaller: 608 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3638465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6. Let r = -1 - 0. Let y = b - r. Calculate the remainder when 11 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1010 and 14.\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - 2*x)*(0*x + 5*x - 3*x) - 57*x**2 + 61*x**2 + 190*x**2.\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 180, 3, 4, -6, -5 in ascending order.\nAnswer: -8, -6, -5, 3, 4, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 205.776nm?\nAnswer: 0.000000000205776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and -38*((-10)\/(-4))\/(-5) + -1.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 1 = -2*m + 5, 2 = m - 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194048851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 3}. What is prob of picking 1 y and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**3 + 6*t**2 - 94*t - 219. What is l(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36d0a - -c?\nAnswer: -36cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.9. Which is the closest to 2\/13? (a) -1\/3 (b) 2\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 298 - 298.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 446\/2250 + 6\/(-27). Let u(h) = -353*h + 13413. Let n be u(38). Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/9 + 8566*k**4\/3 - 3206692*k**3\/9 + 2103536*k**2\/3 = 0. What is k?\nAnswer: 0, 2, 124, 12723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*c**3*v**2 + 2*c**3*v*x**3 - c**2*v**2*x**2 + 2*c**2*x**2 + c*v*x**3 + 22*v**2*x**2 + 5*v*x**3 wrt c?\nAnswer: -96*v**2 + 12*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2850 divided by -10\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/11 + 26*d\/11 - 27\/11 = 0. Calculate d.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21689, -19905, -18121, -16337?\n\"Answer: 1784*r - 23473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3987\/(-1772)*(-4)\/126*(-40)\/2?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3637*p + 3551*p - 1422 + 7734 + 2116 for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8. Suppose 19*c = 15*c + 56. Let z(q) = 4*q**2 + 2*q - 2. Let m be z(1). Solve 10 = 4*t + 2*l + 2, m*t + 5*l - c = n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 87.4. Let t = z + -26.4. Which is the closest to 0? (a) 1 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 393. Let t = -209 + j. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/((-2136)\/48))\/((-2)\/18*-10).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/9)\/((-5)\/(-15)). Let k be ((-429)\/(-22))\/((-2)\/(-4)). Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6055*n - 6262*n - 2024 = -15893 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 288805296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, -1\/3, -20, -5, -1\/2, 0.2 in increasing order.\nAnswer: -20, -5, -2.4, -1\/2, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251251*j**2 + 88517 with respect to j.\nAnswer: -502502*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 360 (c) 5 (d) 0.5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 805, 840, 879, 922, 969?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*m**2*n**2 + 4*m**2*n*q**2*t - 2*m**2*n - 4*m*n**2*q**2 - 621*m*n**2*t - 12*n**2*q - 4*t wrt t?\nAnswer: 4*m**2*n*q**2 - 621*m*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(700) - (4*sqrt(700) + 0) - sqrt(700) - (sqrt(700) + -4*sqrt(700)*-4)**2)) + -4.\nAnswer: 120*sqrt(7) + 606893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-3\/5))*z))**31*z**0*z*z**(-6) assuming z is positive.\nAnswer: z**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o**9*(o**(5\/3)*o)\/(o\/((o**(-4\/3)\/o)\/o)))**(-1\/5) assuming o is positive.\nAnswer: o**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*v**3 + 48 + 7*v**3 - 51 as t*v**3 + d*v + o + z*v**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 956744593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-20)*(-6 + 2). Let y = 0.5 + -0.1. Let i = -3 - -2.7. Which is the third smallest value? (a) y (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 35*b - 32*b + 15, 7*m - 10 = 2*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313\/23265 + -2\/423. Which is the nearest to 0.01? (a) 2 (b) g (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2395, 2496, 2651, 2848, 3075, 3320, 3571, 3816?\n\"Answer: -2*m**3 + 39*m**2 - 2*m + 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3\/4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose m*h + 2*h = 4. Let x(y) = -3*y**3 - y**2 + y + 5. Let f(o) = -o**3 - o**2 + o + 2. Let i(g) = 5*f(g) - 2*x(g). Calculate i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -105 - 479?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11258 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 5)*(17*x**3 + 7*x**3 + 33*x**3) to the form n*x**2 + a + m*x + v*x**3 and give v.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-72))\/(10\/(-10)*6\/9)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1 + sqrt(180) + sqrt(180) + sqrt(120)\/(sqrt(18)\/sqrt(3)))\/(sqrt(4) - (sqrt(4) + sqrt(100))*-2 - (sqrt(4) + 3*sqrt(12)\/sqrt(3))).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3505.1 - -3836. Let u = 331 - t. Let w be (-6)\/4*2\/6. Sort -5, u, w in ascending order.\nAnswer: -5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81819593.\nAnswer: 81819593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let u be -1 + -1 + (-1)\/t. Is 81 + (-5 - u)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -3, 19, -1768 in descending order.\nAnswer: 19, 0, -3, -12, -1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 82*v**2 - 13*v - 27. What is the units digit of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833319371 a multiple of 7681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 10) to base 7\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 34 = 4*b, -17 + 7 = 2*s + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5252 by 1313.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134712551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255)\/(-136)*24\/60)\/((-12)\/(-40))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 - 0 - (1 - 21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(2448))**2 + sqrt(2448) + (sqrt(2448) + sqrt(2448) + 4 + -4)**2.\nAnswer: 12*sqrt(17) + 12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03188693 rounded to 5 dps?\nAnswer: -0.03189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008777649 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 100 = -6*d. Let u = 14 + 2. What is the smallest common multiple of d and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212370, -212371, -212372, -212373, -212374?\nAnswer: -212375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (2 - (-7 - -3))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -13) + -16 + 0 + 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24269463 + 6?\nAnswer: -24269457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2006*w + 2006*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 208 = 10*m. What is the greatest common divisor of m and 2400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6245987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqg when three letters picked without replacement from gqegeee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 185. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 23. Let i = a + -11. What is the lowest common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {s: 5, y: 4, h: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142450 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c, -1 + 0 = n - 2*c. Suppose 2*f - 108 - 10 = -5*u, n*u + 2*f = 70. Suppose -4*b + u = -16. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 - 5*n**2 - 4*n - 4. Let s = -49 + 32. Let d(q) = -2*q - 30. Let u be d(s). Let o(r) = 13*r**3 - 11*r**2 - 9*r - 9. Determine u*o(x) - 9*k(x).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (3 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = j + j - 134, 0 = 4*j + 4*r - 292. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61024785 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Find the third derivative of -2*t**2 + 2*t**o + 2*t**2 - 4*t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-80)*40\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 13*d**4\/12 - 10*d**2 + 17*d. Find the first derivative of j(c) wrt c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624 is divided by 588.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(2\/4). Let i(h) = 4*h - 9*h + l - 2. Let q be i(-1). Calculate the greatest common factor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 3704414?\nAnswer: 3704414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + w + 6 = 0, 4*w + 4 = -2*l - 10. Let f be (9 + -7)*(8\/2 - l). Solve -3*n - 5*a - 16 = 0, f = -3*n - 0*a - 2*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 223974.\nAnswer: -125\/223974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (487 + 10*c**2 + 3*c**3 - 487)*(-4*c**2 + 12*c**2 + 8*c**2) + c**5 - 5*c**5 + 3*c**5.\nAnswer: 47*c**5 + 160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let k(f) = -f**3 + f**2 + 3*f - 2. Let p be k(v). Let o be -5*(p + 99\/(-15)). What is the highest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + k = -12. Let l(v) = -219*v + 1. Let b be l(k). Let d = b - 308. What are the prime factors of d?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1728, -3439, -5150, -6861, -8572?\nAnswer: -10283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**5\/12 - 845*n**4\/4 - 428415*n**3\/2 - 57*n**2 + 44. Suppose r(d) = 0. What is d?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2.59.\nAnswer: 12.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 954.\nAnswer: -1\/954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/15 + 11\/15. Let s = -541 + 541.3. What is the smallest value in -5, 3, s, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 0*n**3 + 2*n**3)*(134 - 294 + 134 + (-4 + 5 + 1)*(-5 - 1 + 5) + 2 + 2 - 3 + (3 - 4 + 0)*(-4 + 2 + 3) + 2 + 1 - 4 - 1 + 4 + 38 - 1 + 5 - 5).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Suppose -5*j + 5*g = 35, -4*g = -7*g + 15. Let m be 2\/1 + j\/1. Is f <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 63 + -6 + (5 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-774)\/(-129))\/(2*1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145\/1314 or 1?\nAnswer: 145\/1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 32 + 67 + 6*y - 8*y - 31. Let z(a) = -3*a**2 - 3*a + 5. Calculate -4*x(o) + 3*z(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2)*w)\/w**(-13) assuming w is positive.\nAnswer: w**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/65)\/((-3)\/5). Which is the second biggest value? (a) -2 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*g - 32*g + 13*g + 4 - 7*g - 4 + 1 - 1 - 2*g + (0*g - g - g)*(-3 + 1 + 4) - 6*g + 4*g + g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840524058?\nAnswer: 2, 3, 11, 113, 37567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(1566\/12))\/((5\/3)\/5).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 6)*31 + -1. Let r = q + -45. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or 1589?\nAnswer: 1589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 610309779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c + 80. What is the least common multiple of 20 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924*a = -1917*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(9) - sqrt(9)*-3))\/(-3*sqrt(20) + sqrt(20)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10436 - 8297 = -13*s. Calculate the highest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10089 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4421 + 4421. Find j, given that -1\/8*j - 1\/8*j**2 + a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-7)\/6 - -1). Let a(t) = 2*t + 4. Let n be a(4). Solve -n = -l*g, -3*g = -2*c - 2*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 11. Let s = -2.4 + 0.4. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3, 0.5, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**3 - 1166*j**2 + 119*j - 5. Let g(p) = -16*p**3 - 2333*p**2 + 218*p - 9. Give 6*g(x) - 11*k(x).\nAnswer: 3*x**3 - 1172*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110011 (base 3) in base 2?\nAnswer: -1110111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.03 + -0.03. Let k = d + -3.8. Which is the third biggest value? (a) 0.3 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 37\/5. Let o = 2\/379 + -383\/758. Let r = 0 - 0.2. What is the closest to w in -1, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 - p**4 - 2 - 202*p - 123*p - 2*p**3 + 492*p as q*p**4 + x*p + f*p**3 + m + d*p**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90100840?\nAnswer: 2, 5, 227, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(-7))*x**(-6))\/((x**7\/x)\/x**0)*(x**(-2\/3)*x)**(-3)\/(x**(-1))**(-30) assuming x is positive.\nAnswer: x**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 7. Let p(w) = w + 193113 - 193135 + 2*w. Calculate 11*a(b) - 4*p(b).\nAnswer: -b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 93 + -33 + -7 + (-6 - -10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-9)*6*(-4)\/20.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 283, 298, 329, 382, 463, 578, 733, 934?\n\"Answer: f**3 + 2*f**2 + 2*f + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z + 3. Let k be y(-1). Solve 5*v - 4 = -k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 173. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.041 + -0.041. Let u = -3.03 - -0.03. What is the nearest to -1 in u, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5046, 5051, 5060, 5073, 5090, 5111?\nAnswer: 5136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/((-1)\/2). Suppose -3*o - 3 = 3. List the prime factors of (o - q\/2) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - (sqrt(32)*-1)**2) + sqrt(2) + -5.\nAnswer: -37 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + (sqrt(847) - (sqrt(847) + 3*sqrt(847)))*3 - (-4*(sqrt(84)*1 + sqrt(84) + sqrt(84)))\/(sqrt(84)\/sqrt(175))))**2.\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -7. Let o(v) = -v**3 - 6*v**2 - 5*v + 3. Let n be o(z). Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-11 + 4 - (-1 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 985?\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) + 2*25. Let x = r - 35. What is the lowest common multiple of x and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 23*r**2 - 16*r - 46. What is the remainder when 655 is divided by b(10)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298192252.6+30.705\nAnswer: 298192283.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 77*j - 36. Let y be i(38). Solve -v - 2*v - y*p = -1, 0 = -5*v + 5*p + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13332*t + 8. Let h(c) = -2*c**2 + 4*c. Let b be h(3). Let j be m(b). What is j rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 747646*t + 2242947 = 0.\nAnswer: -747649, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 36*o**3 + 3. Let y(u) = 1. What is 2*q(g) - 6*y(g)?\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -328, -327, -326?\n\"Answer: w - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*(-6 + 138). Let q = s + -129. Suppose 5*n + 3 - 13 = 0. Solve -n*w + q = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.7 - -552.7. Let o = r - 464.9. What is o rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116531 (base 8) in base 15?\nAnswer: -be06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - k - 96 + 78, 0 = 5*a + 2*k + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*f**2 + 210*f**4 + 2*f**3 - 212*f**4 - 2 + 0*f**3 as m*f**2 + h + i*f + n*f**3 + k*f**4 and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuussuss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20267182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*x = 143*x - 130. Let d = -61 + x. Suppose 3*c + 0*a - 531 = 2*a, 5*c = d*a + 883. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/7600*8)\/(3\/15)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (45\/3)\/((-50)\/(-1250))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -6 (c) -3\/10 (d) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28675916 and -6.2377.\nAnswer: -28675922.2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0 + -2?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 205*p**2 + p + 382. Calculate t(0).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -1\/6*g**4 + 0*g**2 + 0*g**3 - 2*g + 0. Factor c(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 3.1. Sort 2\/15, 5, 4, c in ascending order.\nAnswer: c, 2\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/125*5*(-6)\/(-9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.5 - -91. Let s = -30 - -35. Which is the second smallest value? (a) -4\/3 (b) s (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, -2\/17, -5, 2\/3 in decreasing order.\nAnswer: 46, 2\/3, -2\/17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -3. Let i = -18.8 - -13.8. Which is the nearest to k? (a) -2\/17 (b) -1\/8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76103, -152140, -228129, -304070?\nAnswer: -379963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1214566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -16. Let q = d - -14. Is q < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404 - 447. Let c = 48 + -84. Let p = c - m. Solve 3*s = -v - 1 + p, -2*v + 3*s - 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 83*v**2 - 3978*v + 2. Let k be o(117). Factor -2\/5*l**4 - 40 - 138\/5*l**k + 28\/5*l**3 + 56*l.\nAnswer: -2*(l - 5)**2*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 8*a**3 - 3*a**3)*(0 + 1 + 10) + 0*a**2 + 0*a**2 - a**3 + (3*a + a - 2*a)*(-a**2 - 3*a**2 + 2*a**2).\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 10. Let w = o - 89. Let q = w + 70. What is the biggest value in -0.2, 2\/11, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 62, 76, 80, 74, 58, 32?\n\"Answer: -5*b**2 + 39*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205726?\nAnswer: 2, 29, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7197 (base 10) in base 15?\nAnswer: -21ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -36 - 21*x - 4*x + 24*x. Let d be t(-38). Solve -3 = d*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 547 + -2753\/5. Is -5 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 16*w**2 + 7*w - 127. Calculate k(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30806 = 32*b - 12202. Is 64 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202687629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-35))\/(1\/((-8)\/(-24))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -72. Solve 9*r - 9 + 0 = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 12104*c**2 + 60220*c + 604200.\nAnswer: 4*(c - 3021)*(c - 10)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1369 + -4.8631. Sort -3\/5, 4, -0.034, a.\nAnswer: a, -3\/5, -0.034, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:30 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -4*a**3\/3 + 6*a**2 - 8*a + 3. Factor s(g).\nAnswer: -4*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) + (-3)\/(-1). What are the prime factors of d\/(-3)*(-30)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1034?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1011\/7 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*d + 85*d - 31*d - 26*d + 54*d)*(11 - 9 + 12).\nAnswer: 1918*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 18992242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38841.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 236*x + 1353. Give y(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230867)\/50869 + (-14)\/(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -84*x**3 - 8. Suppose 3*q + 1 = -5. Let d = q + -6. Let i be u(d). What is i rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423164717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4913*h**3 + 3*h + 5833*h**3 - 3*h + 1573*h**3.\nAnswer: 12319*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 10*c**2 - 7*c + 10. What is p(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(147)*-2 + 4 + 1*(sqrt(147) + sqrt(147) + sqrt(147) + 1)*-3*-1)**2 + -2.\nAnswer: 1386*sqrt(3) + 17866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -247466.4 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/10, -443, 2\/15, -12, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j**4 - 3*j)*(-7*j + 2*j + 3*j) + 0*j**5 - 28*j**5 + 52*j**5 - 12*j**5 - 29*j**3 + 29*j**3.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -248, -5, -3, -10.\nAnswer: -248, -10, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 192520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 = 5*x. Let i(h) = -3 + 3*h**x + h**2 - 5*h**2 - 2. Let g be i(0). Sort g, 0.3, -3\/4 in decreasing order.\nAnswer: 0.3, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 178?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.67 - -4687.\nAnswer: 4692.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-85)\/425).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5026 + 5017 - (-3 - -1 - (1 - 12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0 - 2\/5*u**3 + 4\/5*u**2.\nAnswer: -2*u**2*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3 + 1\/(-3). Let c be (-2 - o)\/(-6 - -3). Suppose p - 8 = -3. Solve p*l - 3*q = c, 3*q = -q - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/130 - -4293\/2080. Find the common denominator of u and -26\/7.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 1, f: 4}. Give prob of sequence ir.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 at most as big as 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1 + 4 + p**2 - 1 - 1 + 5*p. What is the units digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*o - 2, g + 2*g - 11 = -o. Let y be o - (-3)\/(-4 + 1). Let a = y - -1. Solve 0 = 4*x + f - 0 - 2, -a*x = -3*f - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10176 by 4.\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*(-12)\/12*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116349904 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -2 + -19 + 14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21315872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*w - 3880 = 198*w - 14200 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -104, 7, -1 in increasing order.\nAnswer: -104, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = h - 4, -h = -2*i - 2 - 2. Suppose 33*a + h = 35*a. Solve -a*s = s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 13 = 3*v, 0 = 63*t - 60*t + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.446742 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o*o**(1\/4)*o\/o**2)\/((o**(-3)\/o)\/(o*o*o*o*o**(-2\/19))) assuming o is positive.\nAnswer: o**(923\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -186 (base 9) to base 6\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + (-486)\/(-15). Suppose 4*o - q = 44. Let x be 1*4\/(-7) - (-2341500)\/24500. Calculate the greatest common factor of o and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22800*u**2 - 288*u - 23.\nAnswer: -45600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-2)\/(-12). Let q be (-3)\/9*-9*(-24)\/9. Which is the closest to -1? (a) 5 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 3 + 3 + (2*z**3 + 0*z**3 - 4*z**3)*(4 - 4 - 3*z) + 0*z**4 - z**4 + 5*z**4.\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -2 - (-184 - -171).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84477219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/8)*r*r**(-2\/21))\/(r**(7\/3)\/(r**(-1\/18)\/r)) assuming r is positive.\nAnswer: r**(-811\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(35 - (-3 - -4)). Let w = 80 + -79.9. Which is bigger: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 53265072.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23975 and 3105242?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719479, 2877912, 6475301, 11511646?\nAnswer: 17986947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - 2 + w + 2 to the form y*w + b and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18015, -72081, -162193, -288351?\n\"Answer: -18023*p**2 + 3*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 13*n**2 + 12*n - 16. Let x be l(12). Let f = x + 20. Calculate the smallest common multiple of f and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1353)\/(-6435) + 7\/(-91)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**(3\/2)\/t)))**34\/(t**(-1))**(-35) assuming t is positive.\nAnswer: t**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 - 15130081*f\/3 - 228919351066561\/6.\nAnswer: -(f + 15130081)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/336012271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12158 + -48635\/4. Let w = 107\/3 + -35. Which is the closest to w? (a) r (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21597 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16276, 38971, 61666, 84361?\nAnswer: 107056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42302742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 9*c + 3. Suppose -l - 15 = -4*l. Let p be g(l). Let u = 4552 - 4551. Solve -m + 5*x + 1 = -p, -4*m = -x - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose 3*o + 4*c - 23 = -0*o, -5 = -m*o + 5*c. Suppose -4*k - 3*z = -637, 2*k - o*k = -4*z - 509. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 531*n + 4*n**3 - n**3 - n**3 - 3*n**3 - 521*n as x + p*n**3 + y*n + m*n**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7243 = 2*d + 4*v - 4967, -v = 4*d - 24392. Let q = d - 1297. Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(15\/10) - (-2)\/3. Let r(f) = -3*f**2 + f - 2. Let b(y) = 4*y**2 - y + 3. Let c(u) = -4*b(u) - 5*r(u). What is c(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 5a42?\nAnswer: 5a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 u, and 1 c when four letters picked without replacement from {m: 4, e: 2, c: 1, u: 2, l: 5, p: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3731 + 7103. Suppose 54933 = 11*a + h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10208418 and 594.\nAnswer: 91875762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620856.\nAnswer: 2, 3, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 7. Let y(g) = -3*g**2 + 11*g - 11. Let p(d) = -d**2 + 4*d - 4. Let b(r) = -11*p(r) + 4*y(r). Determine x(b(z)).\nAnswer: -2*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3037\/12 - 832\/3. Calculate the common denominator of -2\/5 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 - 34?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7728 divided by -4.\nAnswer: -1932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57\/82 + 4139\/2952. Calculate the common denominator of 35\/976 and l.\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.12, -4, -2\/63 in descending order.\nAnswer: 0.2, 0.12, -2\/63, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2694 + -1336. List the prime factors of m.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**1))**(1\/6)*b\/b**1*b*(b\/((b\/(b\/(b*b**(-2)\/b)))\/b))\/b assuming b is positive.\nAnswer: b**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.95 + 2.05. Let z be 2\/2*(-62)\/(-110). Let v = z + 2\/55. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107 or 31296\/289?\nAnswer: 31296\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**3 + 0*t**3 - 3*t**3)*(3*t + 0*t - 4*t) + 0*t**3 + t**4 + 0*t**3 + 4*t**4 + 12*t**4 + t**4 as n*t**3 + q + a*t**2 + d*t**4 + v*t and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, 83, 283, 573, 959, 1447?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 55*t + 38. Calculate f(25).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 - 2*j**3 - 3*j**3 - 16*j - 10*j.\nAnswer: j**3 - 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6822 and 7776?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/11))\/t**(3\/10))\/((t*t**9)\/(t\/(t\/t**(-2\/25))*t)) assuming t is positive.\nAnswer: t**(-4659\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69952242 is divided by 11658706.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1808 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i + 0*i + 3*i)*(-7*i + 2*i + 2*i) + i**2 - 2*i**2 + 0*i**2 - 31*i**2 + 416 - 416 as z + v*i + j*i**2 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-73)\/4 - ((2 - 8) + 3) and -119\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-3943\nAnswer: 1182.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 72.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 367835760 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4 + 288*x**3 - 2128*x**2 + 5184*x - 4096 = 0 for x.\nAnswer: 2, 4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*10\/3. Let t be (-22)\/(-5) - (-2)\/r. Suppose -j + 2 = 0, 2*y + 3*j = 18 + 60. What is the greatest common factor of y and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-26 + -10 + 64)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -131033 (base 4) to base 14\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -166211, -166212, -166213, -166214, -166215?\n\"Answer: -i - 166210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-6))\/z**(6\/5))\/((z*z**4)\/((z\/z**(1\/6))\/z)) assuming z is positive.\nAnswer: z**(-341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p - 5*z - 10, -5*p + 3*z = -26. Let v = p - 2. Factor f - 6*f**4 - 7*f**3 - v*f**2 + 2*f**4 + 0*f.\nAnswer: -f*(f + 1)**2*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2 - 1) + 1. Suppose -3*z = -4*z + r. Find the second derivative of k**2 + 2*k**z + k**2 + 12*k - 8*k wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) -1\/5 (b) -2 (c) 793\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.750502 kilograms?\nAnswer: 8750502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 184 + 164. Solve 2*q = x - 4*x - 6, f*x = 3*q - 29 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 42664 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960073.\nAnswer: 139, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.845 milliseconds in microseconds?\nAnswer: 533845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -32*o**3 - 5*o**2 + 2*o - 1. Does 29 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 15*v**2 - 13*v + 51. Let i be a(-16). What is the second derivative of 27*j**4 - j**4 - 17 + j**i + 18813*j - 5*j**4 - 18811*j wrt j?\nAnswer: 252*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9101 is divided by 8325?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -5828?\nAnswer: -180668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 - (1980 - 1915).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-300)\/(-21) - (76\/(-28) - -3). Suppose 3*z + z = 52. Is z smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -508, -481, -408, -265, -28?\n\"Answer: 4*x**3 - x**2 + 2*x - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3 - -4)*5\/5. Suppose -y = d*y. Solve 5 + y = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-11 - -9)) + -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218679750071*i**2 - 2*i - 5*i**3 + 2*i - 218679750071*i**2.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3 + 5 + 0 - 1 - t. Suppose -2*k = -3*k + 12. Let d = k - 6. What is q(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27193562?\nAnswer: 2, 11, 97, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3 + 19. Let h(t) = -t**2 + 19*t + 1. List the prime factors of h(o).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1036 or -3399?\nAnswer: -3399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 2, 2*o + k = 32. Let x(q) = q**2 - 14*q - 4. Give x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*g + 1807 = 281*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (49312\/67804)\/(4\/(-10))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -27*f**2 - 1\/9*f**3 + 0 + 1\/180*f**5 + 1\/72*f**4 + 0*f. Factor q(r).\nAnswer: (r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -442*t**2*w**3*z - 2355*t**2*w**2*z**3 + 491*t*w**3*z**2 + 2*t*z - 14*w**3*z**3 wrt t.\nAnswer: -884*w**3*z - 4710*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 390?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 208*s**2 - 64*s - 64. Let c(w) = 16*w**2 - 5*w - 5. Determine -64*c(i) + 5*l(i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*7.19\nAnswer: 3.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16629009*g*y**3 + 21338*g*y + g - y + 1 wrt y.\nAnswer: -99774054*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 1055, 1026, 997, 968, 939?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2772574, -2772575, -2772576, -2772577, -2772578?\nAnswer: -2772579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36145576807 and 0.2?\nAnswer: 36145576806.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -6. Suppose -w*z = -z. Let f(t) = -9 - t + 9 - 3 - 3*t**2 - t**3 - 5 + 4*t**2. Calculate f(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24507 + -24506. Let s = -0.05 - -3.05. Is s > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0, 457.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8517888 divided by 4.\nAnswer: 2129472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 663*d - 2360*d.\nAnswer: -1697*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2, 13, -0.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (105\/20)\/(6\/8). Factor 20*y + 3*y**4 + c*y**3 - 6*y**4 - 38*y + 15*y**2 - y**5.\nAnswer: -y*(y - 2)*(y - 1)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15132404 is divided by 84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:24 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-50 + 57 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25025336.9 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 12 - 6. Calculate the common denominator of (-121)\/(-42) - 2\/(-6) and (-134)\/36 - 6\/i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1340 * 170230.\nAnswer: -228108200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1560 - -2797. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 897, 2989, 7029, 13665, 23545, 37317, 55629?\nAnswer: 79129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*l**4*o - 13*l**2*o**2 + 40*l*o**2 + 7*l*o wrt l.\nAnswer: 180*l**2*o - 26*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*s**2 - s**2 - 3*s - 10*s**2)*(2*s + 2*s - 2*s) - 3*s + 2*s**3 + 3*s + (4*s**3 - 2*s**3 + s**3)*(-1 + 1 - 1).\nAnswer: 111*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23128277?\nAnswer: 47, 79, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 15 - 49. Suppose -n + 3 + u = 5*b, 5*n = 20. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.78*127544\nAnswer: 99484.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 2*v**3 - 2*v**3)*(-23 + 23 + v - v**2)*(0 + 6 + 4).\nAnswer: 10*v**5 - 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 2:07 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 258 + 4\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172792374.\nAnswer: 2, 3, 107, 181, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -479*i**3 + i**2 + 4*i + 3. Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.87574 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 152 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*a - 2868 - 23191 = 59710 + 3355 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 2 - 5)*(0 + 1 + 1) - 32 + 0 + 6)*(-68*d**2 + 97*d**2 + 3*d - 3*d).\nAnswer: -580*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.8383 and 30.5.\nAnswer: 33.3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 592452.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 1, j: 8, l: 1, r: 4, t: 2}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12962 = 80*i - 485838. Calculate the remainder when i is divided by 240.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**4 + i**3 - 6*i + 1. Let w(x) = 706*x**4 + x**3 + 106*x**2 - 35*x + 6. Let c(h) = -6*v(h) + w(h). Find the third derivative of c(q) wrt q.\nAnswer: 16656*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 31*j**2. Suppose 0 = -14*u + 15*u - 4. Let w(n) = 14*n - 11. Let d(r) = -5*r + 4. Let x(l) = u*w(l) + 11*d(l). Calculate x(z(m)).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676122?\nAnswer: 2, 3, 112687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -22026\/3973 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-240)\/(-28))*12\/21.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14671 or 14053?\nAnswer: 14671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 669*d + 79514. Give o(-117).\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107187 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -3, 1, -50.\nAnswer: -50, -3, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j**3 + 32*j**2 - 54*j + 212. Let k(b) = -b**3 - 8*b**2 + b - 1. Let n(v) = c(v) + 8*k(v). Factor n(f).\nAnswer: 2*(f - 17)*(f - 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*((-72)\/297*1)\/(-5).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*z + 2*l, -13 = -2*z - 0*l + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + (-99)\/6. Let y = -9 - b. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + w**2 - 1. Let z be p(-1). Suppose -2365 - 6815 = 51*l. Let x be (-4)\/5*l\/(-72). Put 1, 3, x, z in ascending order.\nAnswer: x, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - x - 1. Let a(m) = -6*m**2 - 2*m - 3. Calculate -3*a(r) + 8*p(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9*(220 + 11). Let q be (-4)\/(-6) + s\/(-3) + -3. Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + -15. Let r = h + 25.8. Which is the closest to 0.3? (a) 0.3 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1573)*3 + sqrt(208) + -5)*-5)*-6.\nAnswer: -180 + 1110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 6*n**2 + 3*n - 6.\nAnswer: -3*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - f + 6*f + 196*f**2.\nAnswer: 196*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 99. Suppose 3*d + 5*w + 27 = 1063, 0 = -5*d - q*w + 1710. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1602801 and 149\/418122?\nAnswer: 9616806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/50 + 1*(-34)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 2*u, 0*u + u - 5*r - 13 = 0. Solve 0 = 4*k + u + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-10)\/l)*l\/(l\/l**4))**15*((l**(-2)\/l)\/l)**(-41\/4)*l**(-1)\/l**(1\/10) assuming l is positive.\nAnswer: l**(2799\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * 2.8877.\nAnswer: -83.7433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 199\nAnswer: -3\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 44793 = 2*t, -17*t + 4*v = -15*t - 44838. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 0)*9\/(-18). Let y(t) = t**3 + 2*t**2 + 2. Let p be y(w). Solve -3*x = 3*i + 18, 3 = -3*i + p*x - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*j + 65*j + 39625. List the prime factors of j.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359404 is divided by 682?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 15835632*n**3 - 20897254234314*n**2 + 41794555975536*n - 20897285905587.\nAnswer: -3*(n - 1)**2*(n + 2639273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*n + 179*n - 11*n**2 - 2*n**3)*(-2*n + n + 2*n).\nAnswer: -2*n**4 - 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3226353 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbmbbbmmbmmmmmm. What is prob of picking 1 b and 1 m?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18*(10 + (-22 - -13)). What is the closest to o in 0.9, 0.3, -55?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -3972 (c) -0.0442 (d) 1\/6 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hamllrl. Give prob of picking 1 r and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/19)*z*((z\/(z**(4\/13)*z))\/z)\/z assuming z is positive.\nAnswer: z**(-245\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -8*t**6\/15 + 28*t**5\/25 - 2*t**4\/5 - 4*t**3\/15 + 29. Factor m(y).\nAnswer: -4*y**2*(y - 1)**2*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342834751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -134. Calculate the remainder when 135 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184993435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1851 - 1685. List the prime factors of j.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(1 + 0 + -1) + 2. Suppose -3*a = x + 11, p*a - 1 = 3*a + 3*x. Let v(o) = -2*o - 3. Calculate v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/3 + 2*y. Let k(a) = 4*a + 0*a - 2*a - a. Calculate v(k(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -1. Suppose -u*w = -9*w - 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/3))**(35\/6) assuming v is positive.\nAnswer: v**(175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133809 + 240710. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.1. Let q = 354 - 357. Which is the nearest to z? (a) 4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*y - 14 + 67, -2*x + 42 = -2*y. Let t = 24 + 30. Let s = t - 47. Calculate the remainder when x is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-6))\/((-7)\/(-21)). Suppose o*w - 5*u - 131 + 11 = 0, 2*w - 3*u - 44 = 0. Find the common denominator of 47\/w - 2\/(-8) and -11\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621766460 to the power of 1\/2, to the nearest integer?\nAnswer: 51203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216499?\nAnswer: 23, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**7*h)\/h)**(-12) assuming h is positive.\nAnswer: h**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.4865 rounded to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.87 - 0.11. Let s = k + -0.02. Sort 5, 0.4, s in decreasing order.\nAnswer: 5, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/30 + z**3\/3 + z**2. Let d(o) be the first derivative of i(o). What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 142536*a + 319231995.\nAnswer: -3*(a - 49655)*(a + 2143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(605) - (sqrt(605) - (-2*sqrt(605) + 1 + sqrt(605)))) + sqrt(605))**2 + 3 + (sqrt(60)*-2)\/(-2*sqrt(432)).\nAnswer: sqrt(5)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*g**5*y - 381*g**2*y + 17*g*y - 2*g + 1624*y wrt g?\nAnswer: 2340*g**3*y - 762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -50)*(18\/243)\/((-8)\/12).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2118, -4201, -6286, -8373, -10462, -12553?\nAnswer: -14646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21001010221111 (base 3) to base 14.\nAnswer: 6d5d1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*q + 43. Suppose 4*g = -q*u - 2772790, -g - 645871 - 47339 = -5*u. Round g to the nearest 10000.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 30*m**3 + 9*m**2 + 3*m - 2. Let u be v(6). What is u rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = 35*i - 18*i - 13 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37704\/5 + 7541. Which is bigger: 2\/105 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9508, 1472 in decreasing order.\nAnswer: 9508, 1472, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 302.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 308336 + 308267 = -2*y + 2*o, y - 51 = -2*y - 2*o for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, 64, 301, 800, 1657, 2968?\n\"Answer: 16*r**3 - 13*r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x**2 + 6*x + 7. Let o = 13 + -11. Let w(c) = c**3 - c**2 + c. Let k(j) = o*w(j) - y(j). List the prime factors of k(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubqopuhhb. What is prob of picking 1 u and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 33*f**2 - 33*f + 34. Calculate s(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6774572801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -484*g**4 + 2*g**2 + g + 6770 wrt g?\nAnswer: -1936*g**3 + 4*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 3, 1?\n\"Answer: -2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*d + 10, j = 3*j - 5*d - 22. What is the lowest common multiple of j and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -56*m - 28. Let z(c) = c + 1. Suppose -2620 = 14*u - 2228. Give u*z(b) - r(b).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1899344*k = 1899308*k + 1692 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1062*v**5 - 21*v + 2 - 4*v**2 - 32*v**2 + 26*v**2 + v**4 wrt v?\nAnswer: 63720*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 956\/5*x - 1\/5*x**3 + 187\/5*x**2 + 768\/5.\nAnswer: -(x - 192)*(x + 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntknskstsskkkksssk. Give prob of sequence tkn.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/2 + 10. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*l**4 + 75*l**3 - 2076*l**2 + 5700*l + 1008 = 0. What is l?\nAnswer: -14, -1\/6, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = 16, -i + 2 = 3*h. Let r be (-3 + h)\/(6\/30). Sort r, 5, -2.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:44 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c9ee (base 15) in base 3?\nAnswer: 2221022222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r - r)*(-2 - 2 + 5) - r - r + r + (r - 1 + 1)*(6 - 6 + 7) - 2*r + 2 - 2.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 26\/6790479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/336 + y**7\/14 - 139*y**6\/120 + 317*y**5\/60 - 47*y**4\/4 + 44*y**3\/3 + y**2 - 129. Let q(z) = 0. Calculate z.\nAnswer: -22, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -23, -739 in descending order.\nAnswer: 7, -3, -23, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.76 rounded to 0 dps?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.204757ug in kilograms?\nAnswer: 0.000000002204757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4807237.\nAnswer: 761, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d**3 + 1. What is the tens digit of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12*n)\/n**(-1\/6))\/(n**(2\/5))**(-50) assuming n is positive.\nAnswer: n**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1 - 2*w - 4*w. Let u be a(-3). Suppose -4*k = -u - 12. Solve -o + 7 + k = 3*p, 3*o - 2*p = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*u - 4*z, -2*u = -3*z + 52 - 108. Solve 4*y = -f + 1 - u, -3*y = 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 12. Let b = -15 + 27. Calculate the lowest common multiple of b and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.2, -9566 in descending order.\nAnswer: 0.2, -11, -9566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5831*j - 112 = 2938*j + 2921*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -45, 2, -2 in decreasing order.\nAnswer: 2, -2, -45, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11448 rounded to the nearest 100?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13.136 * -304\nAnswer: -3993.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -42\/13, -4406, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18845, 18844, 18843, 18842, 18841, 18840?\nAnswer: 18839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2. What is k(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:59 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 438938, 438998, 439058, 439118, 439178, 439238?\n\"Answer: 60*g + 438878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45282323 and 118.\nAnswer: 90564646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 + -0.33. Which is the biggest value? (a) -5 (b) o (c) -3\/2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 70. Suppose 0 = -3*g + 3*c + 94 + 185, g - 2*c - 98 = r. Calculate the greatest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35516 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45569210 and 2990?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-14 + 8) - (-8 - -8 - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w - 74. Let d be o(-7). Let j(f) = -23*f**3 - 56*f + 3469 - 3413 - 54*f**d. Let h(g) = -4*g**3 - 3*g + 3. What is -56*h(p) + 3*j(p)?\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -6, -13\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -22. Suppose z - 1 = -z + 3*m, 2*m - y = -3*z. Suppose 2*f = -4*a, -5*a + 4*f = z*f. Let j(v) = -v**3 - v - 2. What is j(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442167794*k**2 + 447102850*k?\nAnswer: 884335588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -6*-2*2. Suppose x = 5*h, 0 = -2*g + h + 2*h - 7. Suppose 0 = g*f - 2*f - 11200. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14479 = -932*r + 10685 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 11*l + 277, -736*l + 21 = -739*l + 97 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efekffmelef. Give prob of sequence km.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 11*y - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*o - 9, 15 = -3*o - 2*o. Let r = 10 + -7. What is the third derivative of 3*f**r - 2*f**2 - 5*f**3 - f**s wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*f - 2*s = -279*f - 135, f - 2*s = 27. What is the smallest common multiple of 1353 and f?\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1)\/1 + -1 + 0). Suppose u*k - k - 2*w = -415008, 2*w + 1244992 = 3*k. What is k rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288855 by -10.\nAnswer: 57771\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*o - 7, 7 = l + 5*o - 8. Suppose -18*b = -19*b. Sort b, -4, l in descending order.\nAnswer: l, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*l + 136, -4*w + 2012 - 4008 + 1977 = -l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 8, u: 5}. Give prob of picking 2 m and 2 l.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18474 (base 9) in base 13?\nAnswer: -5a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3631 or 3434?\nAnswer: 3434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 10 = 2*a, a + 3*v - 5 = 0. Solve a*s - 10 = 5*o, 5*s + 5 = -33*o + 35*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 11\/2 (c) -2 (d) 6.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(b**2 - 3*b + 3*b) + (-2*b + 0*b + 4*b)*(-b - 1 + 1).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 42*a + 3224. Determine g(-74).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.366 + 145.266. Let y = -150.73 + m. Let v = y + 6. Round v to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 + 11*o + 5. Let a(u) = 6*u**2 - 12*u - 4. Let m(x) = -2*a(x) - 3*k(x). Let z be (2 - 3)*7\/1. Is m(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 123*d**3 - 4*d**2 + 2*d + 5. Calculate t(-1).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25604 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12924 is divided by 1576.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let w(o) be the second derivative of 0 + 0*o**2 - 37*o + 19\/3*o**3. What is w(i(p))?\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -371 + -bb?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 21. Let i = n - -4. What is the units digit of ((-18)\/i)\/((-3)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111 + -11 + (1 + 2 - -1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(22\/7)*d*d*d**(-24)\/d)**39 assuming d is positive.\nAnswer: d**(-5421\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(2*m**3 + m**3 - 5*m**3) - 99607*m**2 + 99607*m**2 - 115*m**4 + 9*m**3.\nAnswer: -113*m**4 + 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84464257.\nAnswer: 23, 3672359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = -2. Let f(o) = -o**2 + 8*o - 6. Let l be f(c). Let q = 34 - -11. What is the greatest common divisor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 10*l = -121. What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -8.93, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 804263200 to the nearest one million.\nAnswer: 804000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7302 + -7301.7. Sort -0.04, -4\/55, s.\nAnswer: -4\/55, -0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 23*o - 25*o = 91293, 3*s - 54751 = -5*o. Is s a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 285523\nAnswer: 85656.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5\/3*l**5 + 0*l**3 + 10\/3*l**2 - 10\/3*l**4 + 0 + 5\/3*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/5166 and -79\/179949.\nAnswer: 1079694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + -5 + -1*sqrt(343).\nAnswer: -6*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 366, 0, -0.5, -9\/2, 434?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/6 - h**2\/2 + h. Let p be i(4). Let j = 14 - p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-42)\/9)*(-2)\/(-3). Let g be 0 + (-3)\/(9\/(-6)). Let d be (-3)\/g*8\/30. Which is the closest to d? (a) j (b) 0 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*h - 73, 3258*h - 1084*h = 1087*h + 1090*h + 3*f - 57 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/127825408 and -63\/128.\nAnswer: 127825408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96078 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3 + 1. Let t = d - -7. What is the second derivative of 0*k**5 + k**5 + 11*k - k**5 - 9*k**t wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3159 + 35.\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/12))\/(w\/(w*w*w**(-20)\/w*w)) assuming w is positive.\nAnswer: w**(-215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 90*n. Let g(c) = 3*c. Give w(g(l)).\nAnswer: 270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45075336 and 534?\nAnswer: 4011704904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 4. Let x = -17 + 19. Let k be z(x). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172 + 20*b**2 - 11*b + b - 4*b**4 + 9*b**2 - 29*b**2 wrt b.\nAnswer: -16*b**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*h = -6 - 9, -3*d = h + 21. Let s be (-2)\/d + (-2)\/(-8). Let w = 3219.4 + -3219. What is the closest to s in w, -0.4, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, f: 4, m: 2}. What is prob of picking 1 f and 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*-2*2431\/1326?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + 7294343.566\nAnswer: 7294344.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:55 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-123)\/82*89668\/(-6). Which is smaller: w or 22418?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:11 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11168507, 11168523, 11168535, 11168543?\n\"Answer: -2*s**2 + 22*s + 11168487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**4 - n**3 + 1286*n**2 + 23207*n - 1 wrt n.\nAnswer: -108*n**2 - 6*n + 2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.596912 years to decades.\nAnswer: 0.6596912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 34. What is d(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9403411ms in nanoseconds?\nAnswer: 940341.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 873290763 to the power of 1\/2, to the nearest integer?\nAnswer: 29551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 0.4, 82\/13, 1, -4, -10 in increasing order.\nAnswer: -10, -6, -4, -2, 0.4, 1, 82\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20940508 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*f = 28. Suppose r - 30 = -f*r. Solve 4*k = r*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -611*x - 1321. List the prime factors of n(-49).\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19411 - -19411.38058. Let x = s + -0.38. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/40 + 21*a**5\/20 + 147*a**4\/8 + 343*a**3\/2 - 6*a**2. Factor b(j).\nAnswer: 3*(j + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471108?\nAnswer: 2, 3, 11, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1039 divided by -4.\nAnswer: 1039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v*v**(3\/5)\/v))\/v**31)**(-26))**(-1\/14))**26 assuming v is positive.\nAnswer: v**(-53404\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58395 or -58427?\nAnswer: -58427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 33*j**3 + 3*j + 2. Let b be c(-2). Let s be (-1)\/(b\/89 - -3). Suppose -5*d + s = -131. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60.72659 * 59.\nAnswer: 3582.86881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 = -2*o, -30*o + 31*o = -2*z - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -5)*(4 - 3). Suppose -5*y = f - 8, -2*f + l*f = 4*y - 12. Let c = y - 2. Solve c = u + 3 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 220. Suppose -4*a = -0*a - y. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-9)\/((-18)\/(-8)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -0.61. Let m = p + -0.02. Let o = 0.06 - 3.06. Which is the biggest value? (a) m (b) o (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598829.2 minus 0.3?\nAnswer: 598828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-6) + 1\/(-2). Let f be 2 + 3*(2 - 3). Put f, -3, z in descending order.\nAnswer: z, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2196 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.9928 - 42. Let g = -0.1487 - d. Let v = g - -0.14. Round v to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 + 5 = 0. Let q(m) = 2*m**3 - 9*m**2 + 5*m - 9. Let a be q(6). Suppose -j + a = k*j. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(156) + sqrt(156))\/(sqrt(36)\/sqrt(48)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*r**2 - 149*r**2 - 169*r + 230*r**2 to the form d + n*r**2 + b*r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-70))\/((-26)\/(-7)). Sort -39, 0.03, r in decreasing order.\nAnswer: 0.03, r, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*z + 24 + 0 = 0, -2*z + 8 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1367*u + 53. Let h(d) = -904*d + 36. Give -7*h(w) + 5*i(w).\nAnswer: -507*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2793398 to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934248018.\nAnswer: 2, 7, 2113, 166799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434.7601us in minutes?\nAnswer: 0.000040579335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:14 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -422\nAnswer: -506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1552 (base 6) to base 3\nAnswer: 120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 1. Let a be w(7). Let i(v) = -v**2 - 6*v - 7. Let p be i(-3). Suppose a = 5*c - p*c. What is the remainder when 16 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -175\/3. Let w = -114.63 - -112. Let h = w - -0.63. Sort h, -0.5, 5, u in decreasing order.\nAnswer: 5, u, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 21 = -5*y, -8*y - 2*f = -3*y - 18. Suppose -3*j = -4*o - 1023, y*j + o = 482 + 882. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 + 221.12. Let o = -2.79 + i. Put o, 2\/7, -3 in increasing order.\nAnswer: -3, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*t - 4*b, -5*b = 4*t - 22 - 23. Solve t*c - 8 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5 + 42*t**2 - 41*t**2 + 2 + 15. Let i(h) = 6 - 6 + 2*h. Calculate i(d(x)).\nAnswer: 2*x**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 290, 491, 804, 1247?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 6. Let u be 2 - (2 + y*1). Suppose 4*g = -0*q + q + 10, u*g - 2 = 3*q. Solve 5*i = -5*m, -4*m + q = -m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1106089 and 48785?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363961129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0156, -1, -0.1, -1\/4, -2\/31 in increasing order.\nAnswer: -1, -1\/4, -0.1, -2\/31, 0.0156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 + c + 2. Let t be d(0). Let b(m) = -m**2 - 128*m + 3652. Let a be b(24). Solve -t*u + a*n + 6 = 0, 0*u + 5*n - 25 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = -2*h + 14, -4*d + 8 = 3*h. Suppose h*a - 5*a = -28000. Suppose a = -3*y + 7*y. Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -46 - 19 - 15 + 130*f. Let k(m) = 26 + 4*m + 29 - 13*m - 17*m - 39. Let u(o) = -16*k(o) - 3*x(o). What is the derivative of u(r) wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1486*w + 11012 = 159612 for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 47*l - 78. List the prime factors of j(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -480 + -1?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71047199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -66431?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 22 - 60 - -28) + (9 - 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c\/(c\/c**(-2\/5))))\/c)*c*(c**(-3\/2)*c*c)\/c)**(-3\/26) assuming c is positive.\nAnswer: c**(-63\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -38534\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 18944?\nAnswer: 18944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = -10*n + 279 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220104444 (base 5) in base 16?\nAnswer: -e5cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54332218.\nAnswer: 2, 181, 150089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*i - 18 = 0, -34*f + 30*f + 4*i = -120. Solve 83*k + f = 79*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 1. Let l(o) = 9*o + 2. Suppose 3*t - v + 2 = -1, 3*t + v + 9 = 0. Suppose 5*x - 5*k = -45, -3*x + k - 2*k = 11. Calculate t*l(j) + x*r(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((6\/(-18))\/1)\/((-2)\/114) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58598, -58596, -58594, -58592, -58590, -58588?\nAnswer: -58586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169465586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 8. Let v be y(-2). Let t = 12 - v. Let p be (-152)\/(-40) + (-2 - t). What is the second smallest value in 1, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let l be (-1)\/(-1)*-3 - -2. Let t be (0 - 5)*(k - l). Which is the biggest value? (a) 0.3 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-7)\/(-6))\/(-1))\/(20\/(-120)). Suppose q + 14 = 5*n - k, 3*n + 2*k = 10. Suppose 2*r**2 + 2*r**2 + 2*r**5 - r**4 - 2*r - r**4 - 2*r**n = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304.7 - -305. Let j = 0.08 + -1.28. Let q = j + -2.8. What is the biggest value in q, -2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = -0*r. Let q(k) = 17*k**2 + 2*k + 1. Is q(r) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {a: 2, j: 2, y: 1, w: 1, f: 2, c: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -419\/5. Let w = 2 + -1.5. Let q(g) = -g**3 + g**2 + g - 1. Let y be q(0). What is the nearest to y in u, -0.5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 648.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16178\/9 (b) 3 (c) -3\/5 (d) 1\/227 (e) -0.3 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -29274273224702?\nAnswer: -29274273224703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*o + 1416 = 54*o + 77*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11.553155 * 23\nAnswer: -265.722565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 - 10*c + 7. Let b be g(9). Does 7 divide -3 - (-11 + b\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let i = r - -4. Let c(u) = 2*u - 3. Determine c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4741*t**3 - 6*t - 6. Let z(k) = -18966*k**3 + 22*k + 22. Calculate -11*o(b) - 3*z(b).\nAnswer: 4747*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*((-12348)\/621 - -20).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + f**2\/2 + f + 80. Let b(v) = 5*v**2 + 2 - 6*v**2 - 2*v + 2*v - v. Determine -b(d) + 3*o(d).\nAnswer: -2*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0363 + -738.9637. Let v = -736.01 - p. What is v rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-275) + (-2)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 55. Let z be i(2). Let u be 6\/((45\/102)\/5). Calculate the greatest common divisor of u and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyrrddzzd. What is prob of picking 1 z and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/60 - (-78)\/36. Suppose f = 1, -3 = j + k*f - 7*f. Solve 1\/5*y**j + 0 - 4\/5*y = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85751, 171518, 257301, 343100, 428915, 514746?\n\"Answer: 8*d**2 + 85743*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/2 + 107*p**3 + 72*p**2 = 0. Calculate p.\nAnswer: -2\/3, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/f)\/(f\/(f\/(f\/(f*((f**(-3\/8)\/f)\/f)\/f*f)))*f) assuming f is positive.\nAnswer: f**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = 204. Let y = -14 - g. Suppose 36*q + 3 = y*q. Solve 4*u - 2*l = -q*l - 9, -3*u = -l - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 20*t + 14. Determine h(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 + 0 = j, -8 = 4*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 0 (b) 1 (c) -522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -26, 1 in descending order.\nAnswer: 2, 1, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.00279 - -114. Round x to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1200 and -93\/42560?\nAnswer: 638400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 381634216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**9\/11340 - y**8\/2880 - y**7\/3780 + y**6\/2160 + y**4\/8 - y**2. Let f(c) be the second derivative of h(c). Factor f(r).\nAnswer: -r*(r + 1)**2*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t + 100 = -164 + 93 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -48, -79, -124, -189, -280, -403, -564?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*a + 2*a + 20, 4*b - 2*a - 22 = 0. Let y be 3\/b + 412\/(-16). Let x = -24 - y. Solve 2*i = 4*g - x - 1, 0 = i - g + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + 15*v - 35*v - 31*v**2 + 53*v**2 - 25*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 - j - 1. Suppose 0 = -3*m - 12 - 6. List the prime factors of g(m).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 + 4*z**2 - 2. Let c(x) = -1 + 2*x**2 + 2*x**2 - 4*x**3 + 0. Let q be (-66)\/39 + 124\/(-403). Determine q*r(m) + 3*c(m).\nAnswer: -2*m**3 + 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/(-22)*(1 + 35\/(-4)). Let b = f + -3. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/18448?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)*-4 + (-620)\/(-105) + -2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6019472353 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43*3*-1*(-12)\/(-36) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20496 = d, -2*r + 13058 - 2810 = 5*d. Suppose 0 = 4*g + 4*l + 2 - 10210, 2*l = 2*g - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*r + 2*r + 2038179. List the prime factors of r.\nAnswer: 3, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13800 (base 14) to base 9.\nAnswer: -73123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.35 + -10. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(54) + sqrt(45) + -2.\nAnswer: -2 + 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 4335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 7, -23, 9.\nAnswer: -141, -23, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 = -5*m + 1 - 1, 81 = 23*d - 3*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 21*c**3 - 6*c**2 - 11*c - 10. Suppose 3*q = 11 + 16. Let b be 3\/q + 64\/6. Let w(r) = 4*r**3 - r**2 - 2*r - 2. Give b*w(g) - 2*n(g).\nAnswer: 2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -128*t**2 - 133*t**2 + 259*t**2. Let c(j) = 2*j**2. Calculate r(c(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55481 + 74740 = -2457*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3801026.\nAnswer: -2\/1900513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - 4\/(8\/(-2277)). What is the third derivative of -5 - a*m**2 + 1176*m**2 + 5 + 29*m**3 wrt m?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*l + 1824*l - 1337 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*b**3 - 229*b**2 - 207451.\nAnswer: -156*b**2 - 458*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72533 + -d7?\nAnswer: -7260a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 + -6. Suppose 40*k - 6*k + 1246 = -55*k. What is the closest to -0.2 in k, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9585848 and -81\/4048.\nAnswer: 210888656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 4. Let s be f(4). Let b = -62 + 89. Let h = b + s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -10. Let d(h) = h**3 - 7*h**2 - 2*h + 9. Let v be d(k). Let y(u) = -5*u. Is y(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -42. Suppose -a + 42 + u = n, -a = 1. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3094, -5.\nAnswer: -5, -1, 3094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-30)*(-29)\/((-319)\/66).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 2}. What is prob of picking 1 n and 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/((-28)\/70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594 divided by -3219.\nAnswer: -198\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s*z**3 - 456*s*z - 6645*s - 173138994*z**3 with respect to s.\nAnswer: -3*z**3 - 456*z - 6645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.53 - -4.13. Let p be (-1)\/(-1) - (-6)\/(-12). What is the nearest to -1 in n, p, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z - z)*(-6 + 2 + 3) - 13*z - 12*z + 0*z + (-2 + z + 2)*(3 - 1 - 3).\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241*q**3 - 1389*q**3 + 224*q**3.\nAnswer: -2406*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11296237133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + t + 24. Let l be v(0). Let n(h) = h**2 - 5*h. Suppose -3*w + 0*w + 18 = 0. Let q be n(w). What is the highest common factor of l and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. Let u = 1.2 + -0.2. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -3 (b) -9 (c) 451 (d) -2\/13 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 + 5 + -24 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/((-64)\/8) + -5. Is (121\/33 + l)\/(2\/5601) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66, -820, -2880, -6900, -13534, -23436, -37260, -55660?\n\"Answer: -109*j**3 + j**2 + 6*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 + 5*l - 6. Suppose 5*h + 23 = -3*d, 17 = -5*h - 2*d - 10. Let p be q(h). Solve 0 = 3*c - p*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 1)*3\/4. Solve -4*t + i + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -32824?\nAnswer: -32800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 + 2*u**2 + 23*u**3 - 30*u**3 - 2*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*k + 2879 + 453 = -107 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10)**(3\/32))**(21\/5) assuming u is positive.\nAnswer: u**(63\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (520\/56 - 9) + (-4)\/(-35). Let f(b) be the first derivative of 0*b + 7\/6*b**4 + u*b**5 + 10\/9*b**3 + 1\/3*b**2 - 1. Determine m, given that f(m) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 22*p - 1525. Calculate the lowest common multiple of p and 24\/(-15)*(-25)\/2.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330069564*j + 15934274 with respect to j.\nAnswer: 330069564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.44 in 0.2, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10740427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1402 and -55\/56.\nAnswer: 39256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.77 - -0.23. Let s = c + -10.4. Suppose -4*l - 4*q = 0, -5*l - 2*q + 13 = 1. What is the smallest value in -2\/3, l, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - 1*sqrt(95)*5) + sqrt(95) + (sqrt(95) - sqrt(95)*-2)*1)*4)\/(4*(sqrt(135)\/sqrt(3) + sqrt(20)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -22*p**2 - 9328*p - 46052. Give d(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34706 + 0.96136.\nAnswer: 34706.96136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/66 + (-51552)\/(-66). Is x >= 782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53596 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*s - 2)*(-s + 5*s - s)*(7*s - 3*s + 11*s) as p + z*s**2 + l*s + v*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - g**2 - 3*g**2 - 101.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3\/7 + 243*p**2\/7 - 23742*p\/7 - 1341192\/7 = 0.\nAnswer: -116, -47, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 222*b**2 + 3*b + 2. What are the prime factors of f(-2)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105129.\nAnswer: 59, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/17 (b) 12 (c) 4\/9 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q - 155. Let o be i(8). Solve 0 = j - o*w - 20, -5*w = -2*j - 14 + 39 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347217 = 18894*t - 162400 - 416189 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q**3 + 8*q**3 - 66*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 12\/(-4) - -26. Let p be ((-160)\/(-288))\/(t\/12 - 1). Which is the closest to 2\/5? (a) p (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.48 + 0.48. Let f = 0.3 - 2.3. Put n, 2, f in increasing order.\nAnswer: f, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 97\/3. Let m = 6.3 + -6. Let d = 0.2 + m. Sort d, g, 5 in decreasing order.\nAnswer: 5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -324*d + 19535. Give w(61).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggt when three letters picked without replacement from {t: 6, g: 4, m: 2, q: 1, c: 3, b: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -12*u**5 + 92*u**4 - 200*u**3 + 96*u**2 = 0.\nAnswer: 0, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 12, -325 = -2*c + 3*r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-537844)\/(-7611))\/(8\/(-6))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/y**0)\/y*y*y**(-1\/4)\/y*((y*y**(-1\/3)*y*y*y)\/y)**(-2\/141)*((y*y*y**(-6\/7)*y)\/(y\/(y*y*y**3\/y*y*y*y)))**(17\/6) assuming y is positive.\nAnswer: y**(281693\/11844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -109, -3, -2, -245 in increasing order.\nAnswer: -245, -109, -6, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -190066, -380033, -570000, -759967, -949934, -1139901?\n\"Answer: -189967*c - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 976*(-52 + 27423\/528)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17707 is divided by 363?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -11997?\nAnswer: -119b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458425313.\nAnswer: 3, 19, 2617, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -t + s*a = -4, 8*t - 4*t - 16 = -5*a. Suppose -61 + 21 = 4*c - t*z, c + 25 = 4*z. What is the biggest value in -2\/5, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - (-3 + (-4 - -6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnetentttttttt. What is prob of picking 2 e, 1 t, and 1 n?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 12 + 10)*(-134*w**2 - 12*w**5 + 2*w + 134*w**2).\nAnswer: -264*w**5 + 44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -38. Let z = 12 + -8. Suppose -8 + 28 = -z*u. Which is the nearest to 1\/3? (a) n (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9497?\nAnswer: 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 172 = 7. Let b(q) = -2*q + 26. What is b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/(-10) + 3\/(120\/224)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 11*g = 2. Let a be 2 - (2 + (g - 3)). Solve -4 = -4*c, a + 2 = -z + c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**7\/3 - q**6\/3 - 27*q**5\/2 - 115*q**4\/6 + 188*q**3\/3 + 60*q**2 + 5094*q. Determine x, given that a(x) = 0.\nAnswer: -3, -2, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m**2)*(0*m + 0*m + m)*(18*m - 58*m - 12*m).\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 662.8 + -675.033. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-798 - -1)*(5 - (13 + -3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*1*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 4. Let y be m(10). Let d = y - 27. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 60\/10 + 4838\/(-451)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145815.\nAnswer: 3, 5, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z + 10. Let v be 2\/(-5) - 104\/z. Is 3728\/v + 5\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*a**3*v - 34257*a**3 - 10322176*v wrt a.\nAnswer: -153*a**2*v - 102771*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47949263*d**2*r**3 - 19691039*d**2*r**2 - 2*r**2 wrt r?\nAnswer: -287695578*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 + 1 + (37 - 31).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(3\/35)\/(g\/(g**(-2\/9)\/g))**(-8) assuming g is positive.\nAnswer: g**(5573\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*l*o**2 + 27*o**2 wrt l?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0309472 millilitres?\nAnswer: 0.0000309472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 52, 155, 352, 673, 1148, 1807?\nAnswer: 2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 19*m**2 + 18*m + 4. Give y(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-21)\/15) - 0. Let d = -5.02 + 0.12. Let q = d - -3.9. Which is the closest to q? (a) y (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 5. Let l be q(3). Suppose -2*b - l*b = -8. Let o(r) = r**2 + r - 2. Let u be o(-4). Solve -b*v - u = 2*v + 5*i, -5*i = 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 3*u**2 - 3*u - 3*u**3 + 10*u**3 + 5*u**3. Let q be v(2). Calculate the remainder when 24 is divided by (-1)\/(3\/q*-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-15)*m**(-12))**(1\/14) assuming m is positive.\nAnswer: m**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.2904 + 0.0696. Let c = -0.13 - 13.87. Let v = c + d. What is v rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/40 and 33\/125?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**2. Let x(l) be the first derivative of l**3\/3 + 27. Calculate x(r(g)).\nAnswer: 121*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 65. Let s = 20 - 9. Let p = g - s. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -746 - -743. Sort 2\/73, s, -0.42.\nAnswer: s, -0.42, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 10*m**2 - 40*m - 16. Give c(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -40. Suppose 2*w + f = 2. Let r be w*(8\/(-12) + -1). Solve 0*z + z = -r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167 + 1149 - 2316 + 458*r.\nAnswer: 458*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -93*s + 393. Let h be g(4). Solve 2*t + y = -5 - 2, -h = 5*t - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.434 - 3.134. What is the second biggest value in 8.2, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -19. Let x be (-540)\/21 + (-4)\/d. Let j be 4\/14 + x\/(-7). Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4288 and 23\/584.\nAnswer: 313024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-10)\/(-3)*(-15)\/1. Find the common denominator of (-148)\/h + (-4 - -6) and (3\/(-6))\/((-20)\/(-34)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 17*t = -28*t. Suppose 22*m + m - 23 = t. Put m, -26, 3 in increasing order.\nAnswer: -26, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8 - (-2)\/(-8). Let o(z) = z**3 + 166*z**2 + 2663*z - 152. Let y be o(-148). Sort n, 0.3, -7, y in increasing order.\nAnswer: -7, y, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 50.76. Let c = w - 7.86. Let z = -0.74 + 0.28. Are c and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, -2, -11 in descending order.\nAnswer: 5, 2, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -252, -244, -240, -240, -244, -252, -264?\n\"Answer: -2*l**2 + 14*l - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 2*i**2 - i. Let k = -7 + 11. Let s(x) = -6 + k + 2 - x**2. Determine m(s(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(6*m + 3*m - 37*m)*(-3 - 1 - 1)*(4 - 1 + 0) in the form p + r*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.59091 or -25\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1998, -3, 1 in descending order.\nAnswer: 1, -3, -1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -427, -788, -989, -946, -575, 208, 1487?\n\"Answer: 14*v**3 - 4*v**2 - 447*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -24. What is the smallest common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34*f**4 - 2*f**2 + 115*f + 4. Let u(w) = -2*w**4 + w**2 - 2. Let k(y) = m(y) + 2*u(y). What is the second derivative of k(c) wrt c?\nAnswer: -456*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 - 672 = -8*s. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 - 20*k**4 + 8*k**3 + 308*k**2 - 294*k = 0. What is k?\nAnswer: -7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 1528\/9. Let g = -10.33 - -62.03. Let c = g - 51.9. What is the biggest value in 2\/19, i, c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -13172209\nAnswer: 10\/13172209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1092, 6, 42, -0.2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((777\/2904)\/(-7))\/(23 - 2047\/92) and -20\/363?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u - 20 - 46*u + 11 + 57*u - 60*u + 10.\nAnswer: -109*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**7\/2520 + h**6\/240 - h**5\/60 + h**4\/6 + h. Let t(w) be the third derivative of l(w). Find a, given that t(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -5 + (-606)\/(-99). Are -1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9244 and 3876.\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Let t(a) = -11*a - 4. Let k be t(o). Let v be k\/22 - (1 - 3). Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(112\/(-24)))\/((-6)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -137863?\nAnswer: -137875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 102*a**3 + a**2\/2 - 18*a - 104. Is q(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*l - 70*l - 211406 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 37. Let c be ((-1)\/x)\/((-15)\/(-240)). Differentiate -c - 5 - 20*o**2 - 8 + 19 with respect to o.\nAnswer: -40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 936 - 1824 + 959 - 2*r. Calculate p(39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47267*o + 47634*o - 94917*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -228?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/2 + 19*g**3\/2 + 35*g**2 - 44*g = 0. What is g?\nAnswer: -4, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.3 (c) 169364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**5 - 60*d**4 + 325*d**3 - 1220*d + 960 = 0.\nAnswer: -16, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763379053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59033272*r*v - 220823621*r wrt v?\nAnswer: 59033272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -32 = 4*o - m. Let k be (-88)\/(-96) - (-2)\/o. Which is the biggest value? (a) 0.2 (b) k (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1759428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 4 (c) 5 (d) 5197 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2168342?\nAnswer: 2, 11, 98561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 944 and 25724.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.148 - -0.778. Let d = -1502015.369943 + 1502016. Let h = d - v. Round h to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397*u**2 - 7*u - 139?\nAnswer: -794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/21283731 and -179\/30405330.\nAnswer: 212837310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 216. Let u(s) = 169*s**2. Give l(u(f)).\nAnswer: -169*f**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 2, q: 5, w: 4}. What is prob of sequence wbu?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453 a factor of 116732863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1124322 and -27384.\nAnswer: -1151706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l. Let f(g) = 1. Let r(d) = -d + 4. Let i(o) = 4*f(o) - r(o). Determine -11*i(k) - 2*q(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12416 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**7\/42 - 2*u**6\/3 - 10*u**5 - 160*u**4\/3 - 440*u**3\/3 - 18*u**2 - 5*u. Find y, given that i(y) = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*x**3 + 5*x**2 - 132*x**3 - 6*x**4 wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/132)\/(64\/(-512))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15.8 times -25\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 - 3*i + 5*i**4 - 3*i**2 + i**3 + 2 - 6*i**4 - 4*i**3 + 4*i**3 to q*i**4 + c*i + g + p*i**2 + a*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 106*s - 99 = 35 + 358 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356 is divided by 263?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -26. Let l be (1\/1)\/(8\/t). Let d be (-3)\/81*-52 - 2. Is l > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*v + 384 - 18 = -845. Which is the nearest to -5\/3? (a) -0.1 (b) v (c) 2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 0 = 2*f + 3*r - 9, f - 6 = -0*f - 2*r. Suppose f = -2*g + k*o - 8, g = 5*o - o - 16. Solve g = -j + 4*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 8*s**2 - 12*s + 36. What is q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3810 and 10.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 133927 (base 12) to base 7\nAnswer: 2461543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52) + sqrt(832) + sqrt(52))*4)\/((sqrt(8)\/sqrt(4) + sqrt(2))*3))\/(-2*sqrt(10)\/sqrt(5) + sqrt(2) - (sqrt(2) - -6*-2*sqrt(2))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*(-1)\/(-4)*1188\/(-231)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-798)\/(-8))*((-1313)\/(-65) + (-1521)\/78)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 173 - 11 = 0. Suppose -k*m + 3781 = -35*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 30*v**2 - 3. Let c be u(10). Let h(q) = -q**2 - 3*q - 3. Determine h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/661? (a) -4 (b) -428 (c) -0.285 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - b. Let h(z) = -29*z**2 + 11*z + 48. Calculate h(a) - 7*n(a).\nAnswer: -a**2 + 18*a + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 78*-64137\nAnswer: -5002686","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4177.064 millennia to months.\nAnswer: 50124768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**3 + 2*u**2 + 2*u. Let v(n) = -25*n**3 + 5*n**2 + 5*n. What is -5*j(q) + 2*v(q)?\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0153 - 0.1847. Let v = 3 - 4. Which is the closest to 1\/4? (a) v (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 82.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-120)\/2856)\/(-5)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-6)*6\/9. Factor -4*w + 2*w**4 - 4*w**4 + 0*w**5 + w**5 + 2*w**2 + a*w.\nAnswer: w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12579 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 25, 80*i - 75*i = 4*p + 315. What is the remainder when 726 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1664 divided by -17768?\nAnswer: 208\/2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 87*j**2 + 21*j**2.\nAnswer: -74*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/96)\/((-140)\/40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(99)*1 + 4 - ((sqrt(825)\/sqrt(3) - sqrt(11)) + sqrt(1100)*1))**2.\nAnswer: -22*sqrt(11) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*a - 23*a - 142*a = 3832 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 78*l + 2384. What is i(92)?\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose 2*n + 32 = -n + 5*v, -2*n + x*v - 16 = 0. Suppose 11*g - 72 = -28. Sort g, n, 0 in increasing order.\nAnswer: n, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 208. Give f(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677 divided by -10.\nAnswer: 677\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:18 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from oxxxxoxuuuxx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-399)\/(-70))*(-18)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/24*-6)\/(11\/(-16))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1324, -2656, -4002, -5368, -6760?\n\"Answer: -p**3 - p**2 - 1322*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/5)\/((-1)\/(-2))*4. Suppose 13*x - 7*x - t = 0. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiee when four letters picked without replacement from iiiiiiiiiieieiie?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32116 (base 8) to base 2\nAnswer: 11010001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 7*p - 10. Give v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (14 - 28 - (-5 - -12)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 5*g**2 - 8*g - 9. Let x be (-7)\/(-3 - -2) + -2. Let v(o) = x*o + 1 - 3*o - o. Let h(n) = -f(n) - 5*v(n). Give h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32024.38848 - 32025. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 11:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*6\/(-4). Suppose 0 = -5*q + 79 - 4. Suppose -q = -2*h - 5, 0 = 5*n - z*h - 65. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10527295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1368084 and 4104252?\nAnswer: 4104252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -472.8 - -469.8. Which is the closest to 0.2? (a) 7 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {u: 10, c: 3, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1268629, 1268625, 1268619, 1268611, 1268601, 1268589, 1268575?\n\"Answer: -f**2 - f + 1268631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 2. Let y be -12 + 29 - 1*4. Solve y = 5*c - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 + 4. Solve -s*q - 11 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5050435*a. Let u(h) = h. Give c(u(b)).\nAnswer: 5050435*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 23*r**5\/20 - r**4\/6 - r**3\/6 - 14*r. What is the third derivative of n(q) wrt q?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/116 - -755\/116. Let z be (-1 + -29)*(-12274)\/85. Let a = 26111\/6 - z. Find the common denominator of f and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 + 127 = 12*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9969607, 9969641, 9969705, 9969805, 9969947, 9970137, 9970381, 9970685?\nAnswer: 9971055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 2, r: 3, l: 5}. Give prob of sequence rsii.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-7)*s*s**0)**(-31) assuming s is positive.\nAnswer: s**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y, -2*j + 2*y + 9126 = -10566. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8789831 months in centuries?\nAnswer: 0.00156581925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from zzmzzzzmzzxmxxxzzazx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-6))\/((-12)\/18). Let t = -2811 + 2814. Solve -b = -2*o - t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10168 + 10195 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113*r - 6 = 1115*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 699*b - 5. Let y(s) = -2097*s + 14. Let d(h) = -8*f(h) - 3*y(h). Let t be d(2). Suppose -4*q + 608 = -t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5 - 1. Let l(a) = 4 + 1 - 2 - s*a - 2. Let h(r) be the first derivative of 5*r**2\/2 - 3*r - 1. Determine -3*h(n) - 8*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftomettteoe. Give prob of sequence mot.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -2*sqrt(325) + sqrt(325))**2*-2*3 + 5*(sqrt(13) + 0) + 2*(sqrt(117))**2.\nAnswer: 5*sqrt(13) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 - -254. What is the second derivative of -b*m**2 + 0*m**2 + 19 - 17 - 8*m wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -226c8 (base 14) to base 16\nAnswer: -146d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85408576 divided by -352928?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 9*t - 9. Let a be p(-7). Let r(f) = -5*f - 4*f + 1 + 2*f + a*f. Give r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 329\/141*(10 - 104\/(-91))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o**(-19\/4)*o)\/o)\/o)\/(o*(o**25*o)\/o))**0)**(1\/42) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 13*o**2 + 13*o - 8. Let g be b(12). Solve -g*k + 20 = -8*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 33*w**2 + 4*w + 3. Suppose -5*m + 45 = -45. Suppose 8*f + m = 2. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 9*f**2 + 156*f + 62. Calculate q(18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290620717.\nAnswer: 290620717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let f be u(1). Let k(h) = 0*h**f + 5*h + 2 + 3 - 3 + h**2. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jajaaaajajaaajajaja?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(7\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-10 + 14 + -21 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (90 - 104) + 15*8\/(-3)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36902 - 368573\/10. Let j = d - 848\/15. What is the common denominator of 0 - -1*61\/(-20) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1184 + 1183 + (36 - 1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-15)*((-6)\/(-28))\/1. Let v = 11 + 107. Let h = 114 - v. Which is the second biggest value? (a) 5\/3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 31. Suppose -4*f = f + n. Let c be (-1)\/2 + (-1)\/f. Solve 9 = -c*i - 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**5 + 390*x**4 - 4830*x**3 - 111560*x**2 - 256725*x + 992250 = 0.\nAnswer: -7, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -27, -55, -103, -177, -283, -427?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566901 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 31*k + 22. Let q = -13 + k. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -661067.9957 - -661125. Let v = h + -57. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -39, -2\/17 in ascending order.\nAnswer: -79, -39, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let s = 0.0517 - 3.0517. Which is the second biggest value? (a) 0.04 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197606 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941440407.\nAnswer: 1941440407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 4, 1\/2 in ascending order.\nAnswer: -7, -3, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5607 - -7746. List the prime factors of j.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - t - 3 = 0, -113251*w = -113254*w + 4*t + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/((-18245)\/(-153258))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3034\/(-92) - 1981\/91126.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f*f**(-2)\/f*(f**(-1\/2))**(-24\/5)*(f**7*f*(f**(-1\/7)*f)\/f)\/(f*f**(-6)*f\/(f\/(f\/f**(-6\/11)))) assuming f is positive.\nAnswer: f**(2199\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 + 0.445.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6 - 0\/1)*-1 and 4 + (-5 + -1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from {v: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.19 times -26389\nAnswer: -31402.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*c = 3, -2 = g - 2*c + 1. Suppose 15 = 5*o - 3*u, 2*o + 0*u - g*u = 15. Let i = 2 + -2. Is i at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5239.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, x: 1, c: 1, v: 1, u: 1}. Give prob of picking 1 c and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 less than or equal to 251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iviiv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 778 and -0.5472?\nAnswer: -425.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d + 5*m + 25, -88 = 4*d - 3*m. Let v(r) = -r**3 - 17*r**2 + 40*r + 27. Let a be v(d). What are the prime factors of 2182\/10 - (a\/(-5) + -2)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -20*x + 1272. Calculate the smallest common multiple of 162 and x.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28772*o - 1865 = -28399*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Let t(l) = 0*l - 7*l**2 + 0*l + 8*l**2. Calculate t(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99\/10 - 62\/5. Let n = 37 + -37.23. Let x = n + 0.33. Which is the third smallest value? (a) x (b) q (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*q + 1 + 175*q + 381*q + 919*q.\nAnswer: 1577*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:38 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2. Let m(y) = -7*y**3 + 78*y**2 - 7*y - 3. Let p(o) = m(o) + 6*x(o). Find the second derivative of p(c) wrt c.\nAnswer: -6*c + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6*v - 142545813*u**5*v - 20*u**2*v - u**2 + 3*u*v + 2*u - 589*v - 3 wrt u?\nAnswer: 240*u**3*v - 8552748780*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3406*b**6 + 2*b**2 + 265?\nAnswer: 408720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -342*s**2 + 351*s**2 - 2 + 6 - 27*s + 23*s. Let j(d) = 14*d**2 - 6*d + 6. Give 5*j(u) - 8*t(u).\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 243847.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvzfa. What is prob of picking 1 l, 1 f, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 41484112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6561 (base 8) to base 15.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 3*d + 0*d)*(156 + 170 - 389) + 2*d - 2 + 2 to n + w*d and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b**2 - 9*b + 6. Let n be s(-2). Suppose n = -3*h + 61. Suppose 15 = -k - 4*k. Put k, h, -5 in increasing order.\nAnswer: -5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 19*j + 23. Let h(b) = -4*b**2 + 28*b + 34. Let n(l) = 5*h(l) - 7*u(l). Let s be n(-6). Solve 0 = y - 2, 3*k = -s*y + 5*y + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**4 + 29*w**3 - 11*w**2 - 4*w - 12. Let i(z) = 11*z**4 + 58*z**3 - 23*z**2 - 7*z - 21. Let m(v) = 4*i(v) - 7*j(v). Factor m(s).\nAnswer: s**2*(s + 15)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 486, 993, 1512, 2049, 2610, 3201, 3828, 4497?\n\"Answer: b**3 + 500*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/565? (a) 0.1 (b) 42 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -897.74 and -5.\nAnswer: 4488.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*q + 10. Let y = 8.11 + -0.11. Let n = y + -3. What is the smallest value in q, 4, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40344096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 256*t**2 - 913*t**2 + 3*t**3 + 0*t - 6*t + 659*t**2 - 43 in the form s*t**3 + x*t + l + u*t**2 and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7455+322\nAnswer: 7777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -2*m, -2*m + 0*n + 8 = -4*n. Let i be m\/10 - (-16)\/5. What is the second derivative of -i*r + 10 + 2*r**4 - 9 - 1 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f - 3. Determine m(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 18376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -10*r - 19, 68 = j + 2*r + 67 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 27 + 30 - 89 + 34 + 7*n. Let y(s) = -20*s - 7. What is -17*h(l) - 6*y(l)?\nAnswer: l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 6:24 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 11) to base 5.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 48*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/4 - 125415*t\/4 + 62707\/2 = 0 for t.\nAnswer: 1, 125414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 7 + 2)\/(2\/4) - -6450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 143 = -41. Let h(m) = 39*m**3 - m**2 + 6. Let f(j) = -116*j**3 + 4*j**2 - 17. Let l(u) = x*h(u) + 6*f(u). Find the third derivative of l(a) wrt a.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c - 1. Let b be p(0). Let k(o) = -2*o**3 - o**2. Let l be k(b). Solve -l = -3*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*r + 80, -w - 46 = 2*r - 5*r. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463*z**3 + 2901*z**3 - 1440*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - -88. Let r = 1.2899 - 3.2899. Sort 4, h, r in decreasing order.\nAnswer: h, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2100\/(-10)*(-21210)\/63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1513 = 3*b, 5 = 2*t + 2*b - 3041. What are the prime factors of t?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 97.\nAnswer: -6596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -411 + 574. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 + 3588*q**3 + 8*q + 2 wrt q?\nAnswer: 12*q**2 + 21528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 336709947.74 to the nearest 10000.\nAnswer: 336710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(3584))\/sqrt(8) - (3 + 3 + sqrt(7) + 1).\nAnswer: -49*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 52. Let o be m(-6). Let u = o - -79. Let r(s) = 4*s**2 + 3*s - 44. List the prime factors of r(u).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650122 to the power of 1\/2, to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*504105.\nAnswer: 201642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142926 by 6.\nAnswer: -23821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*t + 303*t - 664*t + 21*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 157, -77, -1, 4.\nAnswer: -77, -5, -1, 4, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let x(i) = -i**2 - 59*i - 5. Let n(a) = -2*a**2 - 89*a - 7. Let d(l) = -5*n(l) + 7*x(l). Calculate p(d(m)).\nAnswer: 18*m**4 + 384*m**3 + 2048*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 9:32 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let x be 120\/210 + 4\/(-7). What is the third biggest value in -0.3, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1503.3 - 1602. Let t = 99 + h. Sort t, -2, -0.1, -3.\nAnswer: -3, -2, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 - 283 = 31*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*p + 8, -v - 20 = 5*p + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143 - 212 = -582*l + 391 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.04294 - 0.04294. Sort 1103, b, 2 in descending order.\nAnswer: 1103, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*s**2 - i*s - 26394783*i - 16*s**2 - 60628*s wrt s.\nAnswer: -4*i*s - i - 32*s - 60628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213447 and 175557.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -213\/13 (b) -24 (c) -672\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:33 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8719, -34775, -78109, -138661, -216371, -311179, -423025, -551849?\n\"Answer: 10*h**3 - 8699*h**2 - 29*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 2. Suppose q + 7*m + 268 = 11*m, -2*q - 4*m = 548. Does 15 divide q\/(-9) + (-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c**3 - 35*c**2 + 20*c - 4. Let w(o) = 16*o**3 + 25*o**2 - 14*o + 3. Let s(a) = -5*i(a) - 7*w(a). Let g be (-2)\/6 + (-4)\/6. Determine s(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6088 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9185197 * 5\nAnswer: -45925985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**7\/14 + 3*y**6\/10 - 3*y**5\/4 - 3*y**4\/4 + 2*y**3 + 22*y. Factor m(q).\nAnswer: 3*q*(q - 1)**2*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16586 - -11710. Let y be (-15)\/4 + 2\/(-8). Is g\/y + 3*2\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/40*9\/((-180)\/(-80)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157381 - 157178. Let n = 10 + 19. Calculate the greatest common divisor of n and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 1103 = z + 4*a, -4*z = -4*a - 4332. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -37*v - 28. Let l be p(-4). Let g = -4 - -9. Suppose -l = -w - g*w. Solve 0*k + 5*k = 5*i + 25, w = -3*i + 4*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2513*a + 91650 = 4863*a for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2 + -3) + 837\/(-135) + 9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 6. Let s(f) = 17*f + 8. Is s(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*a - 5*u + 1, 4*u = 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961036 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*t**2*y**3 + t**2 + t*y**2 + 8*y**3 wrt t?\nAnswer: 420*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqq when four letters picked without replacement from kkqkkqkkkqkkqkqk.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, -2, -6 in decreasing order.\nAnswer: 3, -2, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, 10, 0 in decreasing order.\nAnswer: 10, 0.3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/19))**(8\/9) assuming b is positive.\nAnswer: b**(-8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -617 (b) -7 (c) 55 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 22. Let i be t(-18). Find the second derivative of i*a - 3*a**2 - 5*a - 6*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1773\/4 - -12283\/28. Let r = f + 380\/77. Factor 10\/11*q**2 + r - 14\/11*q.\nAnswer: 2*(q - 1)*(5*q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882993?\nAnswer: 7, 268999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -102, -130, -158, -186, -214?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 4 - (-1 - 2). Suppose o = -2*k + k + 56. Let d be (-2)\/(-6) + k\/(-96). What is the second biggest value in 12, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(325)*-1 + 4)**2 + (3 + (sqrt(13) - (sqrt(26)\/sqrt(2) + 2)))*4.\nAnswer: -160*sqrt(13) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 50*q + 133. What is p(-4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3141 and -113\/538614.\nAnswer: 187976286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-52)\/390)\/1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.076 + 6.024. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51288149501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:20 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3005*m + 20289 + 6756 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:54 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4908.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 12, -1474, 2 in increasing order.\nAnswer: -1474, -3, -2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w. Let n(d) = 14*d**2. Determine n(j(k)).\nAnswer: 126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/3 + (-22)\/(-33). Let i(k) be the second derivative of -k**5\/20 + 2*k**4\/3 - 7*k**3\/6 + 3*k**2\/2 + k. What is i(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 80. Let w(l) = -11*l - 200. What is the remainder when k is divided by w(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39ba57 (base 14) to base 2.\nAnswer: -111100110001100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 17*v**2 - 55*v - 13. Determine m(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/11830 and -12\/7.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2580 = 5*j - 5*z, -10*j + 5*j + 2580 = -z. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.79 - -1.03. Let j = 58.26 + g. Round j to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/125 + 119\/750. Let b = 0.1 - 0. Let p = 35 + -35. What is the second biggest value in p, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -1\/7 (c) -59319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*k - 145*k = 80. Let m(v) = -2*v**3 + 39*v**2 + 18*v + 54. Let f be m(k). Solve f*x + 30 = 8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, -76 in descending order.\nAnswer: 3, -27, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, 8, 5, 23289 in increasing order.\nAnswer: -10, 5, 7, 8, 23289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 2. Sort -3, 0.3, u.\nAnswer: u, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -21 + 8 + -20 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -164939*0.066\nAnswer: -10885.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 - 6*z + 1508 = 0.\nAnswer: -29, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let i(j) be the second derivative of -4*j + 5*j**3 + 3*j - j**3. What is k(i(g))?\nAnswer: 1152*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k**3 + 41*k**3 - 146*k**3.\nAnswer: -57*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3873385 rounded to 2 dps?\nAnswer: 32.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 2}. What is prob of sequence ovov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7500317 + -292564865207\/45001902. Let f = p + 6484. What is the common denominator of f and -1\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 75. What is the greatest common divisor of u and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 96*q. Let b(t) = 30*t - 49 - 33*t + 49. What is b(g(s))?\nAnswer: -288*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f**4 + 3*f + 17.\nAnswer: 28*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94406.8 and -4.\nAnswer: 377627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4566 = 21*h - 15423. Calculate the remainder when h is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/24721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let l(h) = -1670*h**2 - 2*h + 3. Calculate l(f(x)).\nAnswer: -6680*x**4 + 4*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*o - 395, 6*w - o + 1635 = 10*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.304 + 38.642. Let t = s + 38.66125. Let v = t + -4. What is v rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -29*g**2 - 1250*g + 1152. What is s(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) + 1 + -4 - sqrt(3))**2)*-6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 + x**2)*(-3*x**2 - x**2 + 2*x**2) + (-1 + 2*x**3 + 1)*(-2*x - x + 5*x) + 1527*x**4 - 3127*x**4 + 1519*x**4.\nAnswer: -79*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17238*x**2 - 53*x + 53*x - 16019*x**2)*(-x - 2*x**2 + x).\nAnswer: 66514*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0*p**2 + 3 - 2*p - p**3 - 2 - p**2 - 2*p**2. Give c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 + 634 = 586*p - 569 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 22 = -5*k, -4*k + 24 = 4*j. Sort -5, 0, j, -1 in decreasing order.\nAnswer: j, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647926284?\nAnswer: 2, 3, 23, 2347559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from snssnsnsnnssn.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22347, -44698, -67051, -89406, -111763, -134122, -156483?\nAnswer: -178846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 26908*d**3 + 54867444*d**2 + 30351980068*d - 60923645240 = 0. Calculate d.\nAnswer: -2917, -895, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 divided by -111?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose 3*k + 4*s - 280 = -0*s, 2*s - 272 = -3*k. Let g be (-1 + (-3)\/9)*(-36)\/k. What is the third smallest value in g, y, 1\/5, -5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/1315?\nAnswer: -24\/1315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggugyykykkh. Give prob of picking 1 k, 1 g, and 2 y.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2099 - -11306. List the prime factors of b.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:38 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**3 + 15*a**2 + 11*a + 10. Let x(y) = 8*y**2 + 4*y**3 - 11 - 9 + 6*y + 11 - 8 + 22. Calculate 6*m(h) - 11*x(h).\nAnswer: -2*h**3 + 2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.69 + 2.7161. What is n rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-3)\/((-66)\/(-121)))*(2 - -12). Solve -m*y = 21 - 42 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*l - 10. Solve 2*k + 11 = -l*u + 2, 4*k = u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 110.52. Let z = -62.52 - m. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16497264.\nAnswer: 2, 3, 7, 37, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 29. Let b be (-16)\/(-6)*243\/l. Suppose 8*y + 6 = b. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -64.35, -28, -8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 3*i**2 - 5*i. Let a be g(-4). Suppose a*c = 74 - 10. Suppose 0 = -0*s + s - c. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -0.0611 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55926, -55928, -55930, -55932, -55934, -55936?\n\"Answer: -2*s - 55924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141196, -282389, -423582, -564775, -705968, -847161?\n\"Answer: -141193*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51636111 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/63 - 83\/126. Which is the nearest to l? (a) 0 (b) 0.4 (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4 + 49*p + 3 + (-1 - 2*p + 1)*(-3 + 2 - 5) - 1 + 1 - 2*p to the form d + j*p and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:43 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d + (-6 + 1 + 3)*(-d - d - d))*(42 + 38 - 44).\nAnswer: 288*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + o + 3. Suppose 3*y - 15 = -0*y. Suppose -11*v = -y*v - 30. What is c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 24 = 3*u, 5*c + 35 = -2*u + 38 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -3\/70*o**7 + 4 + 2*o**2 + 0*o - 1\/120*o**6 + 0*o**3 + 0*o**5 + 13\/6*o**4. What is the second derivative of c(r) wrt r?\nAnswer: -108*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86.897 - 0.103. Let y = f - -203. Let r = 116.1 - y. Put 4, r, 1\/4, 6 in descending order.\nAnswer: 6, 4, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465920931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*h - w + 270, -5*w - 178 = 3*h. Let k = 85 - h. Suppose 133*z + 98*z**2 + 3 - 11 + 98*z**3 - k*z = 0. Calculate z.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 11. Let u be f(8). Let j be 6\/2*(-19)\/(-3)*1. Solve -j = -a - 4*h, -17 = 5*a - 3*a - u*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 147131*y**2 + 5412544819*y + 48700986489 = 0.\nAnswer: -73561, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 - 2*o**2)*(-2*o + 8*o + 2*o)*(-1 + 0 - 1)*(0*o - 3*o + 2*o).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 5. Suppose -3*x + c*y = -36, x - 3*y + 48 = 5*x. Suppose 3 = -5*r - x. Put 2\/5, r, -4 in decreasing order.\nAnswer: 2\/5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 33, 26, 17, 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1497 (b) 2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 834 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4808c2 (base 15) to base 5\nAnswer: -1340210412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -41273?\nAnswer: 9\/41273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 2, r: 1, p: 4, h: 2, f: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - -6) + -92 + 80?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -39*p. Let y(b) be the first derivative of 0*b**2 + 16 + 1\/3*b**3 + 0*b. Calculate y(j(t)).\nAnswer: 1521*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m = -67*m + 126*y - 382, -5*y = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c + 2, 0 = b + 5*c - 389. Suppose -7*w + 2*w + 2*y + 490 = 0, 0 = -4*w + 3*y + b. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3\/3 - 52*p**2\/3 + 104*p + 960 = 0.\nAnswer: -15, -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4) + 7 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-3) + -2)\/(-2)*-3. Let g(q) be the third derivative of 0 - 6*q**2 + 0*q + 1\/32*q**m + 1\/4*q**3 - 1\/160*q**6 - 1\/40*q**5. Factor g(u).\nAnswer: -3*(u - 1)*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 + -343. Let s = 326 + q. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 1820\/16 + 2*1\/8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)*h**4*(h\/(h*h**(-2\/7)))\/(((h**(-2\/5)*h)\/h)\/h)*(h**(-8)*h\/(h**(5\/4)\/h)*h*h)**(-46) assuming h is positive.\nAnswer: h**(17333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66432 (base 8) to base 9.\nAnswer: 42273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+5.54\nAnswer: 5.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61.7 - 61.6999707. What is m rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 47. Let m be d(9). Let v be (-28)\/m*25\/(-10). Which is smaller: v or -34?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = 2. Suppose 5*j = 2*j + x. Solve 0*o + j*o = 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 8*n - 2. Suppose 20 = 2*g - 3*g - 5*v, 0 = 3*g + 4*v + 27. Let w(b) = b**2 - 5*b - 1. Calculate g*m(o) + 8*w(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7*o**5 + 2 - 1)*(-1 + 3 + 2)*(0 + 0 + 2) - 2*o**5 - 2*o + 2*o.\nAnswer: 54*o**5 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*q + 11. Suppose -5*i = -4*m + 163, 88 = -2*i + 5*m + 16. List the prime factors of (2\/q + 26\/(-22))*i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 8*f + 5. Let q be n(-8). Solve q*u - 5 = -5*w, -2*w + 0*w + 6 = 3*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, 0, 49, 3, 4.\nAnswer: -52, -4, 0, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 18128*k\/5 - 82156096\/5.\nAnswer: -(k + 9064)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6600 and 643?\nAnswer: 4243800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 4}. What is prob of picking 3 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1728798?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2328)\/(-24) + 15 + -17.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -372*z**4 - 151*z**3 - z - 185779 wrt z.\nAnswer: -1488*z**3 - 453*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147173a (base 14) to base 3.\nAnswer: -200201201012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74138 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032020 + 1303?\nAnswer: -2030111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790*-0.0027.\nAnswer: -2.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 71. Put d, -3\/2, 25 in decreasing order.\nAnswer: 25, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 32346 = -2*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.56 + 1.16. Suppose 3*l = 4*l + 2. Sort -0.5, l, x in descending order.\nAnswer: x, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 0.3, 93850.\nAnswer: 0.2, 0.3, 1, 93850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -17*d - 162. What are the prime factors of (185 + d + 3)*(1 - -6)?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019854 rounded to 5 decimal places?\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 382254011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbwibttbwyt. Give prob of picking 3 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 3 in decreasing order.\nAnswer: 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8523*d - 126 = 8521*d. Let b = -85 - -182. Let y = b - d. What is the remainder when 65 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-549)\/(-6))\/(44\/(-2536)). Let t = -5278 - u. Suppose 3*c = 4 - 40. Calculate the common denominator of c and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-2*sqrt(6))*2.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5132644 (base 9) to base 6\nAnswer: 134403321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19501098383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1300) + 0) - (sqrt(26)\/sqrt(2)*6 - sqrt(65)\/sqrt(20)))*-2 + 2 + -3)**2.\nAnswer: 98*sqrt(13) + 31214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7584*y - 3 + 3 - 7581*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 35*t**2. Let r(q) = 10633*q. Give s(r(p)).\nAnswer: 3957124115*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.91 - 0.09. Let r = -4.3 - v. Which is the third biggest value? (a) 3\/7 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Let u = -48 + 48. Which is the biggest value? (a) v (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37999.92 centuries in years?\nAnswer: 3799992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435420 and 2581191.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 + 19*p**2\/2 + 7*p + 6. Does 7 divide x(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 19. Let f be m(11). Suppose -f = -n - n. Solve -n*g - g = -2*t - 11, -t - 1 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*u + 16 + 56 = 1106*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16001 (base 8) to base 6\nAnswer: -53105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, 935, 6, -0.1, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28218 smaller than -28187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1099 - 2237\/2. Calculate the common denominator of 27\/5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2607426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 5*s - 24. Let l(b) = -3*b**2 + 15*b - 68. Let y(d) = -6*l(d) + 17*t(d). Let q(g) = g. Determine -10*q(x) - 2*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8945 and 17890.\nAnswer: 17890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 145 = -5*b + 3*v, b - 1 = -5*v. Let o be (109 - 1) + -1 + -3. What is the greatest common factor of o and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b. Let n be x(2). What is the highest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -27, -15, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3331983 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -270, -814, -1814, -3408, -5734, -8930, -13134?\n\"Answer: -23*x**3 - 21*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 16*u + 20. Determine y(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.822 rounded to zero dps?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 + 1030*h\/7 + 2068\/7 = 0 for h.\nAnswer: -2, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2103*y**4 + 2*y**2 + 5*y - 10 wrt y?\nAnswer: 50472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 = 3*n - 1, 3*u + n = 4. Let t = -0.79 + 0.49. What is the second biggest value in 3, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9805, -19621, -29449, -39295, -49165, -59065, -69001, -78979?\n\"Answer: -j**3 - 9809*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11293733*c*j**3 - 3063*c*j**2 - c*j - 111*j**2 wrt j.\nAnswer: 67762398*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2*a**2 + 6*a**2 - 2*a**2) + 0*a**2 + a**2 + 0*a**2 + (a + 0*a - 2*a)*(-2 + 2 - 2*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35622906 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(7) - ((sqrt(7) - sqrt(35)\/sqrt(5)) + sqrt(7) + -5))*-4 + -2) + 0.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 3. Let d(k) be the second derivative of -5*k**4\/6 - 8*k**2 + k. Let u(m) = -m**3 + 16*m**2 - m + 19. Let w be u(16). Give w*d(j) - 16*x(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5499 times -0.3?\nAnswer: 0.16497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(200) + 4 + sqrt(200))**2 + 3 + 2 + sqrt(200).\nAnswer: -30*sqrt(2) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-32)*2\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 11:51 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -99 + (109 - 24)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sls. Give prob of sequence lss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 - 463*l**3*s**3 - 4*l**3*s + 11*l**3 + 6*l**2*s**3 + 891*l*s**3 - 5 wrt l?\nAnswer: 24*l - 2778*s**3 - 24*s + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5355688*m**3 + 1 - 1 + 5355672*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9954*t + 3*t**2 - t**4 + 9889*t - 5*t**2 to f*t + k*t**4 + d*t**3 + s*t**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322276 = -2*x + 3*y + 127209, 5*y = 2*x - 449487. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 102, 187, 300, 441?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.944 - 0.056. Let d = -33.00289 - z. What is d rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(0 + 5*z + 0).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 152 = -5*o + 148, -5*o + s = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036652 rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/42679 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. Let o(n) be the third derivative of 0*n + 1\/6*n**3 - n**2 + 0 - 1\/12*n**d. What is the first derivative of o(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-2)*12\/(-18). Suppose -15*z - r = -35. Solve 5*j + d = 22, d + z = 2*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13067 + 12972. Which is the nearest to 0.2? (a) -0.7 (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - z = -4722, 5*m + 4*z + 5912 - 17723 = 0. Suppose -133 = -7*r + m. List the prime factors of r.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x + 4. Let b be v(4). Factor -6*a**4 + 2*a**4 + 8*a**5 - b*a**5 + 14*a**5.\nAnswer: 2*a**4*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) 0.4 (d) -0.09 (e) 15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21110120020 (base 3) to base 11\nAnswer: -a0442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1562, -3106, -4654, -6206, -7762?\nAnswer: -9322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378338593.\nAnswer: 378338593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5 = u + 3*h, -17*u - 3*h + 4172 = 4175 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 v when four letters picked without replacement from {h: 1, a: 1, v: 1, t: 3, b: 5, p: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3404249 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 10*a + 0*a + (-2*a + 2*a - a)*(56 - 4 + 2) as o*a + q and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**2 - 15*q. Suppose -56*d + 766 = -138*d + 5686. Let l(w) = w**2 + w. Determine d*l(o) + 4*i(o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {q: 10, n: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97052.4 nanograms in micrograms?\nAnswer: 97.0524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i*s*t**2 - 216*i*s + 2*i - t**3 + 2*t - 3 wrt t.\nAnswer: 34*i*s*t - 3*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 - 1242*l**4 - l**3 + 13*l - 1734.\nAnswer: 20*l**3 - 14904*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:48 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 93*d**2 + 570*d - 60977. Calculate q(92).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-15))\/(12670\/(-552050))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1701 - 826. Let h = c - 874.8086. Let w = -0.19 + h. What is w rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 u when three letters picked without replacement from ucytyvuyyryyry.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**3 + 4*m**2 - 1\/6*m**4 + 8 + 32\/3*m.\nAnswer: -(m - 6)*(m + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -8 - 6. What is the remainder when 7 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 68*d + 1350. What is k(62)?\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4992*q. Let o(k) be the third derivative of -k**4\/8 + 14888*k**2. Determine g(o(a)).\nAnswer: 14976*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 2*r + 8, 3*x - r = -4. Let h = 1 - x. Suppose -2*u + 14 = 2*f, 0 = -3*u + 5*f - 6 - 13. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s + 4*d - 13, -5*s + 4*d + 46 = 0. Calculate the smallest common multiple of s and 3\/(-6) + ((-33)\/(-2) - 8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011160906 to six dps.\nAnswer: 0.001116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/5308 and -19\/153?\nAnswer: 812124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 304349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrhrrh. What is prob of picking 2 h and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000 + 110?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1033 divide 2461639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79312 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4416 + 5*y**2 - 4417 + 8833.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - p)*(p**4 - 60 - p**3 - 3*p**4 + 68).\nAnswer: 2*p**5 + p**4 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -46db8a?\nAnswer: -46db8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12*s = 60. Let n = 2 - 1. What is the closest to n in s, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 - 106*n - 120.\nAnswer: -2*(2*n + 15)*(3*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*m**3 + 50*m**3 + 1558*m**3.\nAnswer: 2493*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -20.55176263\nAnswer: 20.65176263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t**4 + 7360*t**3 - 634800*t**2 + 24334000*t - 349801250 = 0 for t.\nAnswer: 115\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 216*b**3 - b**2 - b - 1. Let m be d(-1). Let r = -105 - m. Let i be 1\/4 - 126\/(-8). What is the highest common factor of r and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2542440 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6430 + 1774 = 0. List the prime factors of g.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0)\/(-3) - 0. Let l = b - -13\/21. Let -2\/7*t + l*t**2 + 0 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 - 12*b. Let g(q) = q**3 - 4*q. Let l(n) = -8*g(n) + 3*j(n). Find the second derivative of l(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/(102\/24). Let n = 109 - 109. Suppose n = -2*b - a, -3*b + 5*a + 11 = a. Which is bigger: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04314 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 7*s)*(-1 - 2 + 0)*(5 - 3 + 0)*(1 - 4 + 4).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s. Let z be (3 - 5)*(295000 - s). Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.15011 meters to kilometers.\nAnswer: 0.00815011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 1. Let y(g) = -2*g**2 - 4*g - 4. Suppose 0 = 5*k + 15, -2*n + 2*k = -3*k - 9. Let x be (0 + n + 5 + -1)*4. Give x*f(u) + y(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vbybyvyvvybyyyvyvv.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -10, -2\/23, 26233?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*n + 10 = 0, 0 = -3*n - n + 4. Suppose f*i + 1949 = 5*j, -2*j + 776 = 4*i - 7*i. Suppose g + j = v, 4*g + 397 = v - 0*g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26661.\nAnswer: 3, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 2*i = 69, l - 11 = -i. Suppose c + 8 = 23. Let q(n) = 1 + 31*n - c*n - l*n + n**2. Determine q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3 + -4 + 3. Suppose b*a - a - 8 = 0. Let n(k) = 10*k + 3. Is n(a) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - d**2 + 4*d + 6. Let t be 12\/36 + 16\/(-3). Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 11*t - 2375*t**4 - 2367*t**4 - 2371*t**4 - 2375*t**4 + 9476*t**4 + 4 in the form c*t**4 + v*t**3 + m + q*t**2 + p*t and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -55\/7 and -2\/199 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and 917.8.\nAnswer: 917.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16481*u = 10256*u + 286350 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 4 = -45*p. Let l be p + ((-24)\/(-4) - 2). Suppose 0 = 3*x + 6, -2*f + 6*f - 2598 = l*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15334, 15309, 15276, 15229, 15162?\nAnswer: 15069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73.0849 and -51?\nAnswer: -3727.3299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*q - 168*q - 216*q to the form j + r*q and give r.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 18540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 7*r - 6*r**3 + 3*r + r.\nAnswer: -6*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833048, 833050, 833052, 833054, 833056?\nAnswer: 833058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 - 122*h**3\/9 + 238*h**2 - 11542*h\/9 + 9520\/9 = 0. Calculate h.\nAnswer: 1, 8, 17, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1366, -2696, -3978, -5194, -6326, -7356, -8266?\n\"Answer: 3*h**3 + 6*h**2 - 1369*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:39 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2 - 4, 0 = -s + 4*n - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17499544 and 1112.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -4*(0 + sqrt(432) - sqrt(432))) + ((1 + sqrt(243))*2 - 1*sqrt(243)*-1) + -2)**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*w**4 - 8*w**4 + 14*w**4)*(-3*w - w + 2*w).\nAnswer: 118*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5864586 and 35025.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwtbqqqt. Give prob of sequence wq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 1 + 17)*(-1 + 3 + 0)*(-3*s**2 - 18*s**2 - 24*s**2) to the form o + x*s**2 + p*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 9*i + 24. Suppose -233*l = -317*l + 588. What is b(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611194557 divided by -4097?\nAnswer: -149181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t*x**2 - 180*t + 433*x**5 - x - 1 wrt x.\nAnswer: 8*t + 8660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 147, 0.08, -0.077, 1\/2, -1\/6, 0.8, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - x**2 + 9*x. List the prime factors of h(4).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0*f + f)*(-3*f**2 + 6*f**2 + f**2) + 73*f - 73*f - 261*f**3 in the form o + v*f + r*f**3 + m*f**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4 + 105431061*u**3 - 67676*u - 3753 wrt u.\nAnswer: -48*u**2 + 632586366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*c - 3 + 25 = 0, 4*h + 5*c - 31 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11826695 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1209 - -1208. Which is the closest to -0.8? (a) x (b) -0.4 (c) 1\/3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107900 by 65.\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - a**3 - 3*a**2 - 70 + a + 0*a**2 + 6*a**2 in the form u + j*a**2 + b*a**3 + z*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + f**4 + 0*f**4)*((0 - 3 + 0)*(-2 + 6 - 3)*(5 - f - 5) + 20*f + 286 - 286).\nAnswer: 69*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**2 - 8*m**2 + 4*m**4)*(13 - 25 + 14)*(-1 - 4 + 4).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - 6 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s, 3*m + s = -0*m - 179. Let j = -54 - m. Suppose 0 = -j*y + 3*r + 27, r = 4*y + 4*r - 45. What is the remainder when 26 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + (-37)\/7. Let b(k) be the third derivative of k**5\/60 + k**4\/3 + k**3 + 257*k**2. Let t be b(n). Are t and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 5. Let z(d) = 2*d - 7. Let j be z(6). Let m(w) = w**3 + 1. Let u(f) = j*m(f) - y(f). Find the second derivative of u(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w = -2, -2*o + 4*w + 2 = 10. Suppose -5*k + 50 = -0*z + z, -5*k = 5*z - 30. Calculate the remainder when k is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22715 - -11496. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 10*p**2 + 15*p + 49. Determine c(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:32 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*k**3 + 110*k**3 - 578*k**3.\nAnswer: -1154*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -61*k**2 + 5*k + 10. Let x(a) = -76*a**2 + 6*a + 12. Let v(s) = 6*h(s) - 5*x(s). Let m(j) = 34*j. Determine m(v(r)).\nAnswer: 476*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279 + -37 + 311)\/(5\/66)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -1504, -1750, -1688, -1318?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26759.\nAnswer: 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-520)*-1)\/(135\/(-180)))\/1?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 116?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179268 is divided by 2845?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-106 - -1) + (10 - ((0 - 8) + 6))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 5, p: 4, h: 6}. Give prob of sequence hp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + (-5)\/(-10). Let j(v) = -15*v**2 - 8*v + 4. Let b(w) = -5*w**2 - 4*w + 2. Let t(x) = -5*b(x) + 2*j(x). Calculate t(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28011 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: Evaluate 2 + (4 - 4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0016329 + -2402100.\nAnswer: -2402099.9983671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:38 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s + 22 - 22 + (-1 + 4 - 1)*(0*s - s + 3*s) + s + 4*s - 3*s - 4*s - s - 10 + s as g + w*s and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50842\/(-24))\/(5*(-5)\/(-110)). Let a = g + 9327. Calculate the common denominator of -17\/50 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18810798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 867.22, 9.1.\nAnswer: 0.4, 9.1, 867.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) -2\/15 (c) -2\/3819 (d) 0 (e) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {x: 5, d: 3, k: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 159. Let j(i) be the third derivative of i**4\/12 - 6*i**2 + i. Determine g(j(z)).\nAnswer: -8*z**2 - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7517667*n**2 + 959298*n + 30603.\nAnswer: 3*(1583*n + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/((-5 - -5) + 1). Let u = -88 - r. Solve u = w - q - 6, -2*w + 4*q + 3 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*-1*200\/250. What is the third biggest value in 0.02, 7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 2, o: 9, v: 1, x: 3, w: 3}. What is prob of sequence xf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -21*b. Suppose 3*f = -3*m + 6, -m = -2*f - b - 2. Solve -4*c - 12 = 2*h - m*c, -5*h - 18 = 2*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4460.88 or -93?\nAnswer: -4460.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/4))\/t)\/t)**(2\/103)*(t\/t**(-1\/2))**(-18) assuming t is positive.\nAnswer: t**(-5565\/206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 549880601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 70 = v. Let x = v - -5. Let o = x + 13. Solve 4*w - o = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-60)*97234*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/12)\/1*8\/400*-75?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (460\/(-575))\/(2\/25). Solve -w + j**2 + 25\/3*j = 0 for j.\nAnswer: -9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 1458 + 745 + 745 - c**2. Let w = -15 - -4. Let x be z(w). Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8822, -8815, -8794, -8753, -8686, -8587, -8450?\nAnswer: -8269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 397, -1, 15 in decreasing order.\nAnswer: 397, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.922 days in nanoseconds?\nAnswer: 81382060800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/13 - 4310*z**2\/13 + 30084*z\/13 - 25776\/13 = 0?\nAnswer: 1, 6, 2148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 331?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*((-14)\/1)\/(-14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.411 to 0 decimal places.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66808065 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6 + 2. Suppose -4*p + p + 21 = t*w, -4*p = -3*w - 3. Suppose 4*l + l = -5. Which is the nearest to -2\/5? (a) l (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -54.4 (c) -1\/5 (d) -4 (e) 0 (f) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143\/4 + 36. Let x = 0 + 0.05. Let g = 2.05 - x. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.4 - -10. Let t = -0.3 - i. Do -1\/4 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7054, -9122, -11180, -13222, -15242, -17234, -19192?\nAnswer: -21110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.95 in -0.18, 1\/5, -0.26, 2\/11?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5381 and 14.\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-18) - (-42)\/27. Let f(k) = k**3 + k**2. Let w be f(0). Let x = h + w. Solve 0 = -x*n - 12 + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15174, -61430, -138536, -246486, -385274?\nAnswer: -554894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9904 = -12*g + 1256. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-12))\/(((-2)\/3)\/2). Let d(n) = -n - 7. Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421868 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0453 and 38?\nAnswer: 38.0453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5274302 - -83?\nAnswer: -5274208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 24*x**3\/5 + 96*x**2\/5 - 32*x + 96\/5.\nAnswer: 2*(x - 6)*(x - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 28*o**3 - 2*o**2 + o + 1. Suppose 2*n + 2*u + 6 = 0, -5*n - 11 = 2*u + 2*u. What is the tens digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 + 3*c - 3. Let j be i(5). Suppose -j = -0*o + 2*o. Let z(h) = h**2 + 6*h - 5. Give z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978379 is divided by 620?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -280*s**3 + 4*s + 2543 wrt s?\nAnswer: -840*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 13) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {f: 2, n: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, m: 4}. Give prob of sequence vv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 239725 - 0.074647?\nAnswer: 239724.925353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8483105, 16966210, 25449315?\nAnswer: 33932420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -327*f - 14. What is the tens digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, 17, -5, -1 in descending order.\nAnswer: 279, 17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12104\/(-4539))\/((-1)\/((-27)\/30))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/67603?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 2 - (-60 - -47) - 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-5110)\/(-49). List the prime factors of (x\/(-12))\/((-2)\/6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1434 and 19\/1434.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 11) to base 15.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.2 - 65.2. Let c = z - -22. Let d = c + 31.1. What is the third smallest value in d, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12498364?\nAnswer: 2, 449, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 4*b**2 + 7*b**2 + 0*b**2 to g*b + x + v*b**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 265.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(336))\/(-2*sqrt(175)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 43*b - 22. Is i(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:59 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 9. Let s be x(8). What is the second derivative of 10*n**4 - s*n**4 - 9*n + 2*n wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + z + 0*z - z + z + z + (-2 + 0 + 1)*(3*z - 2*z + 0*z) - z - z + 0*z + 0 + 0 - 2*z - z - 3*z + 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*f - 18, -w = -3*f + 21 + 6. Let r = -2 + f. Suppose 0 = -4*x + 1 + r. Solve 0 = 4*p + 4*i - 8, -2*p + x*i + 4 = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324654369 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2633, 2631, 2629, 2627, 2625, 2623?\n\"Answer: -2*z + 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -35*k**4 - 1075*k**3 - 1720*k**2 + 580*k = 0?\nAnswer: -29, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/300 - l**4\/60 + l**3\/30 - 4*l**2. Factor u(y).\nAnswer: (y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8415 is divided by 4200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -19. Suppose 24*n - 21*n + u = 0. Let r be -1 + -2 - (n - 0). Solve -1 = i - r*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 3\/2, 114, 2 in descending order.\nAnswer: 222, 114, 2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 4, -25.4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let n(x) = 1235*x. Calculate h(n(i)).\nAnswer: -3050450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4415 - -4421. What is the smallest common multiple of o and 1414?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54495414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146 and 2?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 810\/(-10)*(-8)\/6. Let i = x - 104. Let y be (0 - (-87)\/(-39)) + 2. What is the second biggest value in i, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(16)\/(sqrt(8)*-2 + sqrt(8)) + sqrt(196)\/sqrt(2) + 0)**2 + 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n. Suppose -5*h + 203 = -2*b, 0 = 2*h - 3*b + 2*b - 82. Let p(m) = -h + 7*m - 4*m + 39. Give j(p(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200977\/12 + 16736. What is the common denominator of l and -67\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w + p - 6, 3*w = 4*p + 38. Let r(l) = -127648*l**2 + 7*l + 5. Let g be r(w). Let k = g + 11195281. Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -191, -185, -159, -107, -23, 99, 265?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 424096461 and 0.2.\nAnswer: 424096461.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4565697 is divided by 161?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 424*h**3 + 117*h**2 - 10*h + 20. Let b(a) = 141*a**3 + 35*a**2 - 3*a + 6. Calculate 10*b(v) - 3*m(v).\nAnswer: 138*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -152, 591, 1846, 3613, 5892?\nAnswer: 8683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27.22 * -77\nAnswer: 2095.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -729 + 734. Suppose -3*i - 16 = 2*v - 4*v, -i = -v + 6. Factor -v*w**4 + w**b + w**4 - w + 2*w**2 - w**4.\nAnswer: w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1050153*t**6 - 47330*t**2 + 4.\nAnswer: 126018360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936958 is divided by 232627?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 153\/22 (b) 0.3 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*c + 73140 - 21897. Does 13 divide c - (-6 - -5)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*o - 16, 2*q + 0*q + 2*o - 6 = 0. Let f be q - -1 - -6*630655\/1206260. Let p = f - 3\/5483. What is the common denominator of p and 23\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 826835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*k, -v + 4*k = -6 + 26 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/((-66)\/55).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 - x**2 - 3. Let i(k) be the second derivative of -11*k**5\/20 + k**4\/6 + 4*k**2 - 4*k. Determine -3*i(r) - 8*q(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 412*w + 3296. Let f be z(-8). Let v(y) be the first derivative of -22\/3*y**3 + 17\/2*y**2 + f*y + 8. What is the second derivative of v(p) wrt p?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41411502 (base 6) to base 3.\nAnswer: 2020220222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2683136 by 4.\nAnswer: -670784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 2. Let k be n(0). Solve 4*a = -4*a + k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48399999?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 10*a**2 - 10*a + 13. Let s be t(-11). Suppose 0 = -i + s + 2. Factor 0*q**3 + 2*q**2 - 3*q**4 + 5*q**4 - i*q**3.\nAnswer: 2*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuk when four letters picked without replacement from kkkkkkknkkukkukku.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {d: 1, q: 2, a: 7}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/2 + 2*h + 8. Let x(r) be the first derivative of o(r). Let p(q) = -9*q. Let z be 19\/5 + 4\/20. Give z*p(j) + 11*x(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/3 - t. Let b(v) = -16*v - 104. Let l be b(-15). Let g(i) = -l*i + 106*i + 36*i. Calculate w(g(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 13*f + f + (-f + 0*f - f)*(-4 + 1 + 2))*(2*f**2 + 0*f**2 - f**2).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -18. Let l = d + 4. Let f be ((-10)\/2)\/(2\/l). Let x(j) = -j**2 + 5*j + 6. What is x(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79743 less than or equal to -79743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -73*q + 707. Let s be j(3). Calculate the highest common divisor of s and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17065b + -5?\nAnswer: 170656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 30 = 3*t + 54, 0 = 4*p - 28*t - 224 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.406443t in grams?\nAnswer: 5406443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1015040, 1014903, 1014674, 1014353, 1013940, 1013435?\n\"Answer: -46*g**2 + g + 1015085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -382096*x - 2359. Is c(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0370638499 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71548493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 4, p: 3, j: 1}. Give prob of sequence rrp.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23280 and 128.\nAnswer: 186240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -3\/5, 4\/5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k + 12. Let m be ((-30)\/9)\/(3\/(-9)). Let q be w(m). Let 1\/6*a**3 + 0 + 0*a**q + 0*a = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 + (-3)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/17 + 110*f**4\/17 + 1940*f**3\/17 + 12060*f**2\/17 + 31050*f\/17 + 28566\/17.\nAnswer: 2*(f + 3)**3*(f + 23)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -66. Let d be (1 - 0)\/(5\/g). Let t = d + -11. Which is the second biggest value? (a) -2 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by -16 - (6 + -23 - 147).\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 52*h - 555. Determine t(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r**2. Let c(x) = 86331*x**2. Determine c(g(y)).\nAnswer: 24949659*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + ((sqrt(170)*3)\/sqrt(10) - (sqrt(34) - sqrt(102)\/sqrt(3))\/sqrt(2)).\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 1122*l - 6705\/2.\nAnswer: -3*(l - 745)*(l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from {f: 9, q: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 (base 8) in base 3?\nAnswer: 111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -16*x**2 + 4*x - 20. Let m(a) = -3*a**2 + a - 4. Let q(j) = -2*d(j) + 11*m(j). Give q(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhahhhhaha. Give prob of picking 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -107, -81, 2\/7 in descending order.\nAnswer: 2\/7, 0.05, -81, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 204 and -162.259418.\nAnswer: 41.740582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 652\/(-5) + 1 - -2. Let j = q + 127. Let p = 749\/12 + -249\/4. Put 2\/21, p, j in descending order.\nAnswer: p, 2\/21, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-34)\/(-4))\/(3\/30). What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3326192 and 38.1.\nAnswer: -126727915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + (-1 - 15\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u. Let x be u - (1 + (1 - 4)). Let j(i) = -4*i + 8 - i**x + i**3 + 6*i**2 + 0*i**3. Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1627054, -3254108, -4881164, -6508222, -8135282?\nAnswer: -9762344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {u: 14, x: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 4*x**2 + x**2)*(-14*x - 2*x**2 + 14*x)*(0 + 2*x + 0) + (250 - 250 + 18*x**2)*(-4*x**2 + 0*x**2 + 7*x**2)*(-2*x + x + 3*x).\nAnswer: 100*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - (1 + sqrt(2299) - sqrt(2299)))*3*-4 - (0 + sqrt(2299)*-1*-3))*-2*4)**2.\nAnswer: -253440*sqrt(19) + 33114816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 188. Give r(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8097021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-21)\/(f**(1\/5))**(-11\/5) assuming f is positive.\nAnswer: f**(11\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -20, -4, -2 in increasing order.\nAnswer: -20, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1611 - 1730. Is -113 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m + 11 - 9 + 35*m.\nAnswer: 88*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + -1 + 32. Let i be 2\/g*-2 + 152\/15. Calculate the highest common divisor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-1\/6)\/((d\/(d\/(d*d**(-4)*d*d*d)*d))\/(d\/d**4)))**(-26) assuming d is positive.\nAnswer: d**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, -0.5, 2\/21 in descending order.\nAnswer: 5\/11, 2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -200*q**2 - 9*q**2 + 1 - 144*q**2 - 1. Let g(c) = 2*c. What is g(r(y))?\nAnswer: -706*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20554 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374646 + 694316. Round l to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, o: 7}. Give prob of picking 1 w and 1 o.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -h + 3*h + 7, 4*h - 4*a = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/r)**(-34)*(r*r\/(r*r**(1\/2)))\/r**9 assuming r is positive.\nAnswer: r**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/5)\/r*r**(-3\/4)*(r**(-2\/3)\/r*r)\/(r\/(r**(-9\/7)*r)) assuming r is positive.\nAnswer: r**(-1051\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*u - 13, 806*k - 839*k = -3*u + 246 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442005 (base 7) to base 14.\nAnswer: 20375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 135*t**2 - 24*t - 27. Let d(l) = -54*l**2 + 10*l + 11. Let q(g) = 12*d(g) + 5*r(g). Let b(j) = 7*j. Calculate b(q(o)).\nAnswer: 189*o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*u**2 - 16 + 8*u**2 + 30 - 14 as l*u**2 + m*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143 + -332?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -67, 5, -0.1, -1, 396?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 5. Let l be u(-18). Calculate the highest common factor of l and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196170515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -17, -44, -93, -170, -281?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 23*y**2)*(-81*y + y**2 - y**3 + 81*y) + 8*y**5 - 2*y**5 - 3*y**5.\nAnswer: -20*y**5 + 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 2*o + 5. Let y be g(3). Let c be ((128\/(-20))\/y)\/((-4)\/230). Let h be (0 - (-46)\/(-4))*-2. What is the highest common factor of c and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m - m**2 + 492*m**3 + 15 + 12*m**2 - 493*m**3. Let o be w(11). Suppose 0 = 4*j + o + 153. Do j and -53 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**2 - 1159*l - 1475. Give y(-116).\nAnswer: -1591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24660 divided by -1160.\nAnswer: 1233\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q + 106. Let y be c(-5). Put 5, y, -11 in decreasing order.\nAnswer: y, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 158*k**2 - 1411*k - 67. What is y(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 h, and 1 k when four letters picked without replacement from {p: 4, k: 7, h: 4}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -95. Solve 0*j - 17 = -j - 3*v, -4*j + v + 3 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 30*z**3 - 4*z**4 + 2*z - 9 + 7*z**3 + 22*z**3 in the form g + r*z**3 + i*z**2 + y*z**4 + p*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360614 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 16*v**2 - 50*v - 21. Suppose k - 27 = i - 2*k, -20 = -5*k. Does 12 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 518.3.\nAnswer: -518.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/24)\/(-1 - -3 - 1). Suppose 3*v - 6*v = s - 14900, u*v + 59600 = 4*s. What is s rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -387*b**4\/2 + 386*b**3 + 391*b**2\/2 - 386*b - 2 = 0.\nAnswer: -1, -2\/387, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7272.784 nanometers?\nAnswer: 0.007272784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2611 is divided by (-10940)\/(-280) + (-1)\/14?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**3\/6 + 5*q**2\/2 - 3*q. What are the prime factors of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(2))**2 - (sqrt(150)\/sqrt(3) - sqrt(2) - sqrt(2)).\nAnswer: -3*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -82*u - 105*u - 121*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -291 times -7\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.54805681 and -0.5.\nAnswer: -1.04805681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -3961, -9196, -16513, -25906, -37369?\nAnswer: -50896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Let w(b) = 16*b - 175. Calculate the remainder when w(12) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(2*sqrt(6)) + (sqrt(1216) + 2)**2.\nAnswer: 65*sqrt(19)\/2 + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8.16. Let k = -0.06 - g. Let n = -0.01 + -1.99. Which is the nearest to 1? (a) n (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -15 + -3 + 12 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10437765 divided by -3479255\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuueeuueuueuuee. Give prob of picking 1 u and 2 e.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*30\/3. Suppose 7 + f = -4*a. Let j = 4 + -3. What is the third smallest value in j, a, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32574933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*i)*(i**3 + i**3 - 4*i**3) + (3*i**2 + i**4 - 3*i**2)*(-3 - 6 + 2)*(-8 + 0 + 2).\nAnswer: 38*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let l be -40 - -24 - ((-14)\/(-7) + 4). Let f(j) = 10*j. Let g(b) = 140*b. Let x(q) = -55*f(q) + 4*g(q). What is l*i(s) + 4*x(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -155, 12, 4, 11.\nAnswer: -155, -2, 4, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 9 - 3*y**3 + 0*y + 9*y + 2*y**2 - 10*y to the form m*y**2 + r + c*y + q*y**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 25530.481.\nAnswer: -5106.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2844*d**2 - 6*d - 1244*d**2 - 12*d + 18*d.\nAnswer: 1600*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 80*y\/11 - 78\/11.\nAnswer: -2*(y - 39)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:11 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -23*p + 17. Suppose 818 = 114*g + 590. Give y(g).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 15389, -307 in increasing order.\nAnswer: -307, 20, 15389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 6, -13, -2, -3, -4 in ascending order.\nAnswer: -13, -4, -3, -2, 6, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and -49\/246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11 = -32 + 1. Let o = 36 + 1. Put o, q, -3 in decreasing order.\nAnswer: o, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6585*-9.26.\nAnswer: -60977.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-11)\/t)\/t)\/(t*t**(-8\/3)\/t))**(-18) assuming t is positive.\nAnswer: t**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20112?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 7*x**2 + 7*x**3 - x**3 - 4*x**3 to the form s*x**2 + y + z*x + b*x**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208 - -294. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 378*m**2 + 377*m**2 - 1130*m**2 + 375*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/15 - 12\/(-30). What is the second derivative of 5*g**2 + 14*g**k + 7*g**2 - 2*g - 2*g wrt g?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252609 is divided by 22709.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 63078389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.7 - 46. Let k = 179\/6 + -30. Put 0, -0.05, k, p in ascending order.\nAnswer: p, k, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*(i\/i**(4\/11))\/i*i*i*i)\/i)\/i)\/i**(2\/11))\/(i**(-3\/2)\/((i\/(i\/i**4*i)*i)\/i*i)))**16 assuming i is positive.\nAnswer: i**(1224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -61. Let a be ((-2)\/(-3))\/((-4)\/z). Let o = -97 + 98. Put o, -3, a in ascending order.\nAnswer: -3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.41 + 189.41. Let w = -195.1 + s. Let j = -8 - w. Which is smaller: j or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275527.\nAnswer: 11, 17, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:22 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*p = 663*p - 138888. What are the prime factors of p?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 42 + -56 + 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000205093677 to seven decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose x = 5*b - 9*b + 12. Solve -8*f - 5 = -b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10111311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3632 + 3636. Put 14, z, 0.061 in ascending order.\nAnswer: 0.061, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-150)\/4875 + (-147814)\/(-130)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60524, 242038, 544428, 967586, 1511404?\nAnswer: 2175774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*q - 5*x, 0 = -q - 2*x - 2*x - 13. Suppose -3*i + q*i = 8. Solve -i*j = 2*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 697.11 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ab3 (base 13) in base 10?\nAnswer: 10624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -4 (b) 0.5 (c) 1072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/20 - 13*t**4\/4 + 44*t**3 - 39*t**2 + 2*t. Factor i(j).\nAnswer: 3*(j - 22)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 3, x: 2, p: 1, o: 5, z: 1}. Give prob of sequence topo.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, 35, 90, 153, 218, 279, 330, 365?\n\"Answer: -q**3 + 13*q**2 + 9*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.215 - 0.1578. Let f = v - 0.06. What is f rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 - 10 + 25)*(-8*i + 8*i + i**2) + (4 - 4 - 2*i)*(i + 0*i - 2*i).\nAnswer: 190*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650224 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 35*g**2 - 66*g - 957. What is the remainder when v(38) is divided by 851?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 14*v - 209. Calculate l(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -680\/9, -4\/3, -0.5, 2\/5, -4\/13 in decreasing order.\nAnswer: 2\/5, -4\/13, -0.5, -4\/3, -680\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394\/3059 or 1?\nAnswer: -394\/3059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -270 = -1081\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26704*c + 13318*c - 2588 + 2588 + 13309*c.\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 0.2.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -62*t**2 - 11876*t + 5381. Determine i(-192).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -42 in ascending order.\nAnswer: -42, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4\/3*b**2 + 4\/15*b**5 + 0*b**3 - 2\/3*b**4 - 4\/3*b + 7. Solve r(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfhffvdvhffhf. What is prob of sequence fhdf?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*d - 11 - 2, 5*d = -10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v. Is (92 - (0 + 3)) + v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/3 + 29206*h\/15 - 1168 = 0?\nAnswer: 3\/5, 2920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 g, and 1 k when four letters picked without replacement from gkkkxggkgqxkggv?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1173502*q**2 + 3727363*q wrt q.\nAnswer: 2347004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from {z: 8, s: 1, l: 2, e: 1, t: 2}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9)*(-4 - -238). Let x = -1 + v. Let z be x\/(-275) + (-1)\/(-5). Is z equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271156\/1153 <= 1103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130038*i - 3828 = -130005*i for i.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4) + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*t*t*t**(-8)*(t*t**(-2\/5)\/t)**32)\/((t**5*t*t*t*t*t**(-2\/11)*t)\/((t*t**1)\/t)**(1\/3)) assuming t is positive.\nAnswer: t**(-4502\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -18*i**5 - 3354*i**4 - 99992*i**3 + 1910816*i**2 + 2677120*i + 906528 = 0.\nAnswer: -142, -57, -2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.513*2.\nAnswer: 7.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85580 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 34*n - 559. Determine t(24).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 13) in base 8?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, n: 3}. What is prob of picking 4 p?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19155977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27682 is divided by 9223?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/3 - 29\/6. Let s be (-1)\/(((-24)\/(-2))\/(-4)). Which is the closest to -0.1? (a) -0.3 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 0*j**2 + 14 - 3*j + 3*j in the form a*j + r + i*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-1)*((-3)\/2 - -1). Which is the closest to -2? (a) p (b) 1\/5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m - 3*w - 10, 8 = -2*m - 2*w. Let z(f) = f + 3695. Is z(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -7*g - 2696. What is the hundreds digit of g - ((-1 - -4) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83571316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058, -1059, -1060?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suib when four letters picked without replacement from bbbssmbmibmus?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -27\/74628494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252347 (base 8) to base 11.\nAnswer: 5a628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -247, -252, -259, -268?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (350\/21*-6)\/(-1 - 0). Let j = 308 + -1036\/5. Is j greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -67 (d) 4\/9 (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6706 is divided by 895?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*60\/((-25)\/(-5)). Let w(n) = -20*n - 11. Let p(x) = 7*x + 4. Determine z*w(a) + 11*p(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 610777.5 to the nearest one hundred.\nAnswer: 610800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.2264 and -1.\nAnswer: -32.2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4637\/214 - 18\/107. Let h be 1 + 2 - (-20 - -1). Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 - 39304*n**3\/3 - 196484*n**2\/3 - 91688*n - 39294 = 0 for n.\nAnswer: -19647, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2 + -6 - (18 - (23 + 3))) - 26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -23729.\nAnswer: -23680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8312.498 to the nearest ten.\nAnswer: -8310","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 79*u - 9. Let r be c(3). Suppose r = 3*b + 3*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2754, -11077, -24942, -44343, -69274, -99729, -135702?\n\"Answer: f**3 - 2777*f**2 + f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Suppose h*o + 206 = 4*a - 2*a, -4*a = -2*o - 430. Suppose 5*x - 3*q = a, -32 = -2*x - 4*q + 22. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20190277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 79 = -7*u. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 15 + 4)*(17 - 2 + 0)*(-1 - b + 1) + (5 - 3 + 0)*(1 + 2*b - 1).\nAnswer: -356*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 10*b + 7. What are the prime factors of h(-10)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487308 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + m**2 + 0*m**2)*(-m - 6*m + m + (0 + 2 - 4)*(-m + 2*m + 0*m) - 2*m - 4*m + 4*m) in the form s*m + r*m**2 + x*m**3 + l and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094893 rounded to five decimal places?\nAnswer: 0.00949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 691 = -5*h, -6*s + 378 = -4*s - 4*h. Let f = s - 242. Is f at least as big as -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7309950337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + s**2 - 1437 + s + 1439 + 22*s**2 - s**3 + 2*s to i*s**3 + u + v*s**4 + j*s**2 + z*s and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 6. Let o be v(-3). Let h be 27\/3*8\/6. Suppose y = 6*p - 2*p + h, -3*y + o = -p. Sort 5, 2, p in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(4*sqrt(72)))**2 + -2 - (-3*(-5 + 1*sqrt(847)))**2.\nAnswer: -1130393\/144 + 990*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -5 + -2 + sqrt(1539) + sqrt(1539)).\nAnswer: -36*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -3.1. Let m be 1 + 0 + (-2)\/(-6). Which is the nearest to -0.1? (a) j (b) 3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 664, 638, 550, 370, 68?\n\"Answer: -5*p**3 - p**2 + 12*p + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrirrrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12bcb + 0?\nAnswer: -12bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -g + 11 - 9, -b = g - 2. Suppose b - 2 = -r. Suppose -3*x = o - 307, -4*x - 614 = -r*o + x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c - 2. Let a(m) = 9*m - 2. Calculate -6*a(g) + 7*q(g).\nAnswer: 16*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38.9 in 1\/4, 1, 0.1, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 7*q**3\/3 + 5*q**2\/2 + 2*q. Let z(p) = p**2 - 10*p - 10. Let b be z(12). Is h(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, 7\/6 in descending order.\nAnswer: 7\/6, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 84705.1 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2555)\/(-14) - ((-75)\/(-10))\/3. Calculate the greatest common factor of 560 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -471.0107 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + 34124313?\nAnswer: 34124453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141127728 plus -0.5?\nAnswer: 1141127727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20331 = 6*o - y, -513 - 2867 = -o + 3*y. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330 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: Simplify u**9*u\/u**(-11\/2) assuming u is positive.\nAnswer: u**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 20 - (-5 - (-16 - (-38 - -4)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.48 times -0.05\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5550807 months?\nAnswer: 0.000046256725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113 - 14*z**3 + 113)*(-18*z - 2*z + 8 - 9)*(2 + 3 - 4) to the form i*z**4 + q*z + k*z**3 + a + n*z**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(4 + -3 + sqrt(832)*-2 + 1))**2.\nAnswer: -57600*sqrt(13) + 2998800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824789 is divided by 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 + 3*b - 4. Let l be a(4). Let d be (-44)\/l - 1\/(-2). Let v(k) = -3*k + 9. Determine v(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8763 and 4.\nAnswer: -7.5052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -125672 <= -125638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747 = 23*a - 609 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h. Suppose 12*y - 10336 = 14*y. Let m be (-6)\/(-21) + y\/56. Let a = m + 77. Let k(g) = 20*g**2 + 15*g. Determine a*q(x) + k(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 11.1, -3\/5, -25, 0, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/11 (b) 0 (c) -0.1 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 2. Let v(h) = -9*h**2 + 3*h. Let c(s) = -4*g(s) - v(s). Let y(j) = j**2 - j + 8. Let b(d) = 3*c(d) - 2*y(d). Determine b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 24092*s**2 - 36264480*s - 36288576.\nAnswer: -4*(s - 3012)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 25, -4*u + 13 = f. Put -11, -2, u in decreasing order.\nAnswer: u, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*q - 2 - 8, 2*q = -5*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-3 + -3 + 10). Suppose -p + k = 3*p. What is the highest common factor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(6135\/(-63) - (-10)\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433204 = -42*o + 434380 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1280 - 1029. Is q at most as big as 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 19. Suppose 4*s - 5*l - 7 = 19, l = s - 6. What is the smallest common multiple of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 1. Let m be c(2). Suppose 4 = p - m*p, 3*p = -3*h. Let z be h\/12*3\/(-5). Put 2\/15, z, -1\/6 in descending order.\nAnswer: 2\/15, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2683397 + -11950397. Round h to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -7*p - 10. Suppose -2*m = -3*m + 34. Suppose m = z - 21. What is the remainder when z is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 18*t**2 - 2*t**3 - 16*t**2 - 16 - 3*t**3 in the form r*t + b*t**2 + l + f*t**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675 + -281. Let t = s - 389. Let f = 1 + -0.7. What is the second smallest value in t, f, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -63. Let d be (0 + 2)*a\/(-4). Let r = 28 - d. Let q(i) = -3*i + 1. Determine q(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*s + 1791*s + 56 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-4)\/(16\/36). Solve 3*w - 1 = -d, 2*w - 5*d - m = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*p + 29*h**2 - h*p + 209*h wrt h?\nAnswer: -4*p + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498539 = -9235*k - 2383*k - 278863 + 477404 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 51 - 35 = 0. Let w be k\/(-20) + 1\/(-5). Solve w*l + 8 = 4*l - g, -5*l - 2*g = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from xfftfvvfvxojvxv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*b + 25 = b, 2*b = 6. Put -1, -3, p in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 0.07, 0.319, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 2*u. Let y be l(6). Suppose 10*v = 6*v - y. Let m be -9*(5\/((-15)\/6))\/v. Which is the second smallest value? (a) -0.1 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:07 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4 = 5*l, -l = 3*u - 8*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4383895386.\nAnswer: 2, 3, 13, 56203787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256997.\nAnswer: 3, 7, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 79*g. Suppose 11*c - 58 + 3 = 0. Let p(j) = -42*j. Let v(d) = c*p(d) + 3*w(d). Determine l, given that v(l) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**3 - v - 1. Let p = 2 + -3. Let j be i(p). Let l = j - 4. Solve -c - k + 6 = -3, -4*k + 31 = l*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 61 = -2*a - 30, -5*a - 2*z = -5. Solve -4*d = -a*f - 1 - 4, 2*f = 3*d - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w + 2*r + 28, -2*r + 52 = -5*w. Put 2\/7, -1, w in descending order.\nAnswer: 2\/7, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7488132.\nAnswer: 2, 3, 173, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-5 - 0) + (-9 - -2). Which is greater: 7\/2 or v?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13832392.\nAnswer: 2, 7, 247007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8463572 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*-3*-1. Let m be (r + 3)*(-4)\/(-2). Factor -l**2 - 2*l + 6*l**5 - 4*l**5 + 5*l**m - 4*l**4.\nAnswer: 2*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*n**3 + 141903*n**2 + 622*n**3 - 141903*n**2 - 365*n + 365*n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323.817 rounded to zero decimal places?\nAnswer: -2324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 13*m**5\/60 - m**2 - 1. Let j(z) = -7*z**2. Give j(s(g)).\nAnswer: -1183*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-12)*l**(-3\/4))\/(l*l**(-10\/9)*l**(1\/12)) assuming l is positive.\nAnswer: l**(239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - (-4 - (1 + -6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-28)*(-6)\/9. Let c(j) = 9*j - 248. Let t be c(27). Let g = -0.91 + 1.01. What is the nearest to g in -2, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15096.1 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -52 + -39 - (-8 + 3 + -5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (411346\/(-1170))\/13 + 27.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, -5, -1, 6 in descending order.\nAnswer: 6, -1, -5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + 10001?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 228. Let p(s) = 4*s**2. Let t be p(1). Suppose t*b = b + u. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 951*t - 949*t = 25, 0 = -3*x - 4*t - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74259 and 523735.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 231.1.\nAnswer: 230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 6a0a?\nAnswer: 6a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) 1\/10 (d) -1 (e) 219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50143200 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386 + 406 + 1*-22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -1811, -2, -5, 1 in decreasing order.\nAnswer: 1, 0, -0.2, -2, -5, -1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23110 (base 4) to base 9\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 499 + -131. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 423 = 6*r. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 7, w: 2, s: 1, t: 3, f: 4}. Give prob of picking 1 w, 1 c, and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. Let u be n\/(-3)*(3 + -4). What is the nearest to 1 in -0.1, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8786 + 50287. What are the prime factors of h?\nAnswer: 47, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49266844, 49266850, 49266854, 49266856?\nAnswer: 49266856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012 not equal to 276818\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 44 = 44. Let s(l) be the third derivative of l**5\/60 - l**4\/3 + 5*l**3\/3 - l**2. Let a be s(7). Solve c = q - t - 1 + 6, -2*q + a*t = 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 - 1053*w**2 + 22953*w + 31695*w**3 - 87880 - 4870*w - 31694*w**3 = 0.\nAnswer: -40, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*z + 7862*z**4 + 2 + z**2 - 3*z**2 - 7864*z**4 to the form u*z**3 + j*z + f + w*z**2 + c*z**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - 70\/(-21))*-345 is divided by 127?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*a - 180*a = 312. What is the remainder when a is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Let q be (-5)\/r*(-6)\/8. Do q and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 times 39106\nAnswer: 2502784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55610\/42210 - -6*(-25)\/270.\nAnswer: 16\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-126*i + 16013441 - 16013457 + 8*i)*(-3 + 3 - 2*i) to the form n*i + o + y*i**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29672*v - 43190 with respect to v.\nAnswer: -29672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -293\/221 - -5126477\/3866395. Let f = 2851671\/122465 + j. Let o = f - 23. Which is the second smallest value? (a) o (b) -3 (c) -5\/2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 5386688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120002002 (base 3) to base 14.\nAnswer: b270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -5*d + 24. Let x(p) be the third derivative of 0*p - 24*p**2 + 0 + 5\/33*p**3 - 2\/165*p**5 + 19\/132*p**d. Factor x(q).\nAnswer: -2*(q - 5)*(4*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 30*o**2 + 4 + 27*o**2 - 2*o**3 - 14*o + 14*o. Determine v(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 12*d**5\/5 - 108*d**4\/5 - 9*d**3\/5 + 78*d**2\/5 + 27*d\/5 = 0.\nAnswer: -1\/2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 l when four letters picked without replacement from illwsidwwslllwwl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and -61\/77928.\nAnswer: 77928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*h - 136, -t - 3 = -4*h + 31. What is the common denominator of 370\/t - 3\/(-21) and 23\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*h = -375 - 8425 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41874452.\nAnswer: 2, 53, 197521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 327, 539, 779, 1047, 1343?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urupurrrtpppurrrrrru. What is prob of sequence rpt?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s - 22. Let j be l(-1). Let r be 9 + (j - -1) - 6. Let d(f) = 3*f + 13. Let y(z) = z + 4. Calculate r*d(w) - 7*y(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 32. Suppose 0 = 4*g - 0*g + l. Let k(m) = -m**2 - 10*m - 2. What is the remainder when k(g) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 521, -33175 in increasing order.\nAnswer: -33175, 1, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 13 in descending order.\nAnswer: 13, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 4*g**2 - g + 6. Let u be c(4). Suppose q - 5*i - 64 = 0, -i = -u*q - 6*i + 203. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1871\/7 and 268 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -207105 (base 10) in base 11?\nAnswer: -131668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -9*g**2 + g + 1. Suppose 0 = -2*m + 7*m + 5. Is p(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27171816?\nAnswer: 2, 3, 7, 197, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23285*h + 634. Is w(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) -3015 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, -3\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/12)*(480150\/297)\/194 + 6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 15791?\nAnswer: 15791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0. Let l = -3 + 2.95. Let u = 1.95 - l. What is the closest to 2\/7 in u, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/36 + -13 + 16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021 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 -0.0000112927486 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110*(6\/(-11))\/(60\/33)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, s: 3}. Give prob of picking 2 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219\/1 + (-15)\/(-5).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 2*k**5 - 5*k**5 + (-5*k**3 - 7*k**3 - 2*k**3)*(0*k**2 + k**2 + 0*k**2) + (10*k + 2*k + 3*k)*(3*k**4 - 4*k**4 - k**4).\nAnswer: -50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 2 + l**2 + 6 + 0*l. What is the remainder when j(9) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338990867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 30 = -40. Are 1\/588 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 4, e: 1, g: 1, p: 1}. What is prob of picking 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let t be q\/10 - 128\/(-5). Let g = -17 + t. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1309 and 12257?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742023509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11780 - -8016. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and -47\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 19*c**2 - 7*c. Let u(s) = -6*s**2 + 2*s. Let m = 26 - 23. Suppose -m*k + 16 = 10. Let w(v) = k*y(v) + 7*u(v). Let i(r) = -2*r. Determine w(i(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1156 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*u - d, -5*d + 12 = -u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:48 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40929, 330321, 1115819, 2645475, 5167341, 8929469?\n\"Answer: 41342*l**3 + l**2 - 5*l - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + 6*t - 6. Let s(x) = 78*x**2 + 65*x - 65. Give 65*n(a) - 6*s(a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16650096?\nAnswer: 2, 3, 346877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -413, -385, -359, -335?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/132 + (-7)\/(-42). Let x(t) be the first derivative of 0*t - j*t**2 - 1 - 2\/33*t**3. Factor x(q).\nAnswer: -2*q*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/2 + 13231*g**2\/3 - 91261*g\/2 - 97141\/3 = 0.\nAnswer: -8831, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01081385 - 0.\nAnswer: 0.01081385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 18*t + 28. Let j be q(-16). Let r = 16 + j. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2\/3))\/d)\/d)**(-8)*(((((d*d**6\/d*d*d)\/d)\/d)\/d)\/d*d)\/d*d**(2\/15))**(-49) assuming d is positive.\nAnswer: d**(-1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106*i**2 + 212*i**2 - 124*i**2 + (-3*i - i - i)*(0 - 2*i + 0))*(5*i + 3*i - 5*i) to u*i**3 + r*i**2 + l*i + o and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1320.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*m**2 + 0 + 5 - 28*m**2 + 6*m to t + r*m + k*m**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791.\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 38, 12391.\nAnswer: -7, 38, 12391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-12) - -4)\/4*6. Suppose -3*r - 15 = d - 4*d, g*d = -r - 5. Let q be 3\/r*-13 - (-8)\/40. Solve 0 = t - 3*z - 0*z + q, 5*t = -4*z - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8541492 or 8541515?\nAnswer: 8541515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 30*d - 50. Let n(l) = -29*l + 53. Let h(q) = 6*c(q) + 5*n(q). Is h(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14652341647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 14 - -2) + 397 + -368.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -506 + 187. What is the units digit of (-12)\/15 + c\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 41*t - 2171. Give a(53).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 13. Is i(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*r - 142*r - 22*r**2 + (0*r**2 + 2*r**2 - r**2)*(0 + 3 - 4).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -45. Let g(i) = -4*i + 2*i - 12 + 2. Is g(t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2535752*u**3\/15 - 35505032*u**2\/15 - 63058*u\/15 - 28\/15 = 0?\nAnswer: -14, -1\/1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -794.\nAnswer: 1\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*s + 9, 9*s + 259*m + 27 = 263*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + 2)**2 + -1.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23 = -4*h, 3*p - 2*p = -5. Let c(u) = -31*u + 58 - 12*u**h - 57 + 30*u. Let z = -2 + 3. What is c(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 10494?\nAnswer: -10493.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 2203, -14 in ascending order.\nAnswer: -14, -4, 7, 2203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 19 = 2*f + 13, -3*f + 9 = 0. Let t(o) be the first derivative of 0*o**3 + 0*o - o**4 + u*o**2 + 4\/5*o**5 + 15. Factor t(b).\nAnswer: 4*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*z**2 + 172*z**3 - 97*z**2 + 227*z**3.\nAnswer: 399*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*d - 376 with respect to d.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 + 651. List the prime factors of i.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.843554 tonnes?\nAnswer: 5843554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*b - 363*b + 63*b - 4362 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*x - 94. Calculate the least common multiple of x and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2*y - 2. Let i be q(1). Suppose i*x = x + 32. Let c = 7 + 9. Calculate the greatest common divisor of c and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27180237 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 - 4748*v**4 + 2464530*v**3 + 428438648*v**2 + 4377431296*v - 4808329728 = 0.\nAnswer: -127, -12, 1, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 + 6*f + 3. Let g be n(5). Let t(l) = -4*l + 4*l**2 - 3*l**2 + 0*l**2 - 2. Is 15 a factor of t(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u - 4*u + 3*u. Suppose 3*q + 12 = 0, q = 4*l - 63 + 3. Let n(v) = -14*v - 14*v + 40*v - l*v. What is n(j(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78187 - 42650. Let x be j\/52 - (-8)\/(-52). Let i = x - 690. Calculate the common denominator of i and -93\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + 2*c + 7, -4*c = -z - 19. Let y(b) = -59*b + 3. Is 36 a factor of y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) + (-2 - -3). Let b(m) = m**2 - 2*m. What is b(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*u, 5*r + 4*u + 3 = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514 divided by -5466.\nAnswer: -257\/2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, -1 in decreasing order.\nAnswer: 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -9, 3 in decreasing order.\nAnswer: 5, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from hmmdddtbbdm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2. Let g be (-161)\/(-49) + 4\/(-14). Let i(v) = g - 5*v**2 + 6*v**2 - 3. Calculate i(z(f)).\nAnswer: 49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(3*d**3 - 2*d**3 + 0*d**3) - 54*d + 54*d + 131*d**3 + 2*d**3 + 2*d**3 + 2*d**3 to w*d + v*d**3 + h*d**2 + z and give v.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12334*h + 24669. Determine v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230589, -922341, -2075255, -3689325, -5764545, -8300909, -11298411, -14757045?\nAnswer: -18676805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Suppose -l = 4*w - 83, l + w - j*w = 101. Suppose -182*b + 240 = -170*b. Calculate the remainder when l is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5))\/(m\/(m*m\/(m**(-2)*m*m)))*m**4\/((m*m**(-2))\/m) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -269925, -539917, -809909, -1079901, -1349893, -1619885?\n\"Answer: -269992*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.9 - 5. Let z = -2 + n. Let d = -0.6 - -3.6. Put z, d, -1\/4 in descending order.\nAnswer: d, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 2150*n - 1301*n + 845*n - 481*n to s*n**2 + g + p*n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5)**(-35\/3)\/((i*i**(1\/5))\/(i\/i**(7\/6))) assuming i is positive.\nAnswer: i**(-2141\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/5897?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 5ad130?\nAnswer: -5ad12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let w be (-7 - -4) + (-30)\/(-2). Solve 0 = -3*c + w, -2*c = -2*l + 3 - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7685.807652 to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 7, x: 3}. Give prob of picking 1 x and 1 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1594556, -3189112, -4783670, -6378230, -7972792, -9567356?\nAnswer: -11161922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61276, 245094, 551450, 980338, 1531752?\n\"Answer: -h**3 + 61275*h**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*i**5 - 2*i**2 + 3*i**2 - 9*i**2 wrt i?\nAnswer: -1680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 2*b = -5*u + 226100, -b - 45228 = -u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 38*q**2 - 39*q - 19. What is y(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*g = -g + 1243, 3*f = -3*g + 936. Suppose 355 = 7*j - f. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244367 is divided by 142?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 less than 103108.81?\nAnswer: 103108.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 7*p + 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-93))\/((-21)\/7*(-27)\/162).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllldllld. Give prob of picking 3 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 21. What is the remainder when 24 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*a - 40 + 40 + (2 + 29 + 9)*((-2*a + 0 + 0)*(1 - 1 - 2) + 3*a + a - 3*a).\nAnswer: 177*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3)\/z)\/(z\/z**1))**(2\/55) assuming z is positive.\nAnswer: z**(-4\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -311*x**3\/3 + x**2\/2 - 115*x - 421. Find the first derivative of c(r) wrt r.\nAnswer: -622*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(2*l - 2*l + l**3) + (-5*l + 6*l - 2*l)*(-5*l**2 + 3*l**2 + 0*l**2) + (59*l**2 - 114*l**2 - 32*l**2)*(2*l + 2*l + 0*l).\nAnswer: -345*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohooo. What is prob of sequence oh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537746900 by -102350.\nAnswer: 5254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:17 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 59. Let p = -0.25 - -0.1. Let q = 0.25 + p. What is the closest to 0.1 in q, -1, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z - 383*z - 271*z - 66*z to r*z + b and give r.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -44. Which is the nearest to 2? (a) -0.2 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 130. Let v be f - (-2 - (-4 + 10)) - 3. Solve -v*o = -o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 0, 5*d + 11 = j + 35. Let x(s) = 71*s**2 + 3*s - 1. Is x(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 - 75*w**3 - 2331*w**2 + 19283*w - 16878 = 0.\nAnswer: -29, 1, 6, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) + 4)**2 + (4 + 0 + sqrt(2448) + sqrt(2448))**2 + sqrt(2448).\nAnswer: 284*sqrt(17) + 10921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743126?\nAnswer: 2, 43, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 207122388*n**2 + 2681229914992800*n - 8043691609080000.\nAnswer: 4*(n - 3)*(n + 25890300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14254 divided by 1.\nAnswer: -14254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9020 and 308935.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -86*i + 480. Calculate f(7).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (-2 + sqrt(612)))*6 + (sqrt(612) - (sqrt(612) - (sqrt(612) + 2*sqrt(612)))) + -3 + (3 + (sqrt(425) - (-3 + sqrt(425)))*3 + sqrt(425))**2.\nAnswer: 138*sqrt(17) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2407 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*y**3 + 48*y**4 - 15*y**3 + (-2*y**3 - 2*y**2 + 2*y**2 + (4*y**2 + 0*y**2 - 6*y**2)*(-3*y - y + 5*y))*(143 - 143 + 2*y).\nAnswer: 40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -667, -905, -1301, -1855, -2567, -3437?\n\"Answer: -79*j**2 - j - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-8) + 7 + (-23 - -12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 16 = l. Suppose -6 = -m + l. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 172 = 3*s. Calculate the least common multiple of (-88)\/154 + 11\/((-308)\/(-688)) and s\/4 - (-1)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + 0.79. Which is the nearest to 2\/3? (a) -7 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/26419432 and -53\/44.\nAnswer: 290613752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8719*k - 51726. What is q(6)?\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2. Let m(y) be the first derivative of 0*y + 1\/2*y**2 + 10. Calculate m(i(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679537 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22972206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(567) + -4.\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqom. Give prob of picking 1 m, 1 q, and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 4. Let s(i) = i. Let h(o) = -m(o) + s(o). Let g be h(-2). What is the closest to -0.3 in -0.5, 0, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1 - 12*h + 8*h + 2*h**2 - 6*h**2 + h**3. Let k be v(5). Find the second derivative of -4*d + d**2 - 3*d + k*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -369011000 to the nearest one million.\nAnswer: -369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-7))\/k))\/(k**7*k))**(-11)*k\/(k\/(k\/k**(-1\/5)*k))*(k*k**(2\/23)*k)\/k*k*k*k**(-6)\/k*k**(-7)*k assuming k is positive.\nAnswer: k**(16823\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3 + 503342*h**2 - 7889511*h.\nAnswer: 6*h + 1006684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 42. Let a(k) = -6*k + 37. Let t(w) = 4*a(w) + 3*m(w). Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -310*l**2. Let u(t) = -48*t + 13*t + 48*t. Determine u(n(q)).\nAnswer: -4030*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(5\/15). Suppose z*f - 6 = -0*f. Solve 4*s = 5*v - 4*v + f, -4*s - 5*v = -9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 92976.\nAnswer: 92975.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3510887103)\/4629834 - 2\/11. Let w = h - 1\/23383. Let v = 745 + w. Calculate the common denominator of -95\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - r - 6*r)*(-2*r + 1 - 1)*(116*r + 169*r - 58*r + (5 - 2 - 1)*(0 + r + 0)) as u + y*r**3 + k*r + o*r**2 and give y.\nAnswer: 4122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -2) + -5 + -11 + 7 + 15\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6639 + -6582. Solve d*z = -89 + 32 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 - 3*m + 3. Let v be t(-4). Let f be (-35)\/25 + 1 - 334\/(-10). Is f - (-2 + 2 + v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12522 + -25043\/2. Which is the nearest to -0.5? (a) 3 (b) 9 (c) -2.1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+117389\nAnswer: 117386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737722?\nAnswer: 2, 17, 47, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102011 (base 3) in base 14?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893 + 43 = 12*v. Let x be (-13)\/v + (-10)\/(-24). Determine u so that -1\/4*u + 0 - x*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -2\/23 (b) -164 (c) -3\/7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/1502897 or 1?\nAnswer: -68\/1502897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 i when four letters picked without replacement from aahaioohooboooaiaio.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4 = -4*z, 3*z - 7500 = -3*x - 7509 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 6*a + 4 - 2 + (5 - 5 + 19*a)*(4 - 3 - 2) to d*a + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, -0.2078, -2, 14\/9, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6850*k + 62444 - 794 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 878.0725 hours?\nAnswer: 3161061000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y = -4. Let o be (27 + -29)*(-1 + 0). Suppose 4*d - 28 = -y*n - o*n, -2*d + 3*n + 9 = 0. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 0 - -5 - (1 - 0)*-92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*h**2 + 22*c**2*h - 420*c*h**2 - 88876*h**2 wrt c.\nAnswer: -6*c*h**2 + 44*c*h - 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/55)\/d)\/d*d**(-30)*d)\/((d*((d**(5\/9)*d*d)\/d)\/d)\/(d**(2\/25)*d)) assuming d is positive.\nAnswer: d**(-77857\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z - 3*z)*(-13*z - 5115 + 5115)*(-2 + 4 - 1).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - -1)\/1)\/(-2). Suppose -3*q + 2*d - 8 = 0, q + d = 2*d - 4. Let a = q + j. Solve a*s - s = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*g*w + 4*d**2*g + 2*d**2*w + 38*d**2 - 292*d*g*w + 8*d*g wrt d.\nAnswer: -8*g*w + 8*g + 4*w + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 93. Let z(g) = 36 + g - 37 + 2*g**2 - 3*g**c. Let b(v) = -12*v**2 + 9*v - 9. What is -b(d) + 9*z(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -7. What is the greatest common factor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2\/13, -0.25409, 0.4 in descending order.\nAnswer: 4\/7, 0.4, 2\/13, -0.25409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i**(-1\/3))\/((i**0*i)\/i)**(1\/7))**(-11) assuming i is positive.\nAnswer: i**(-209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759.\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((3*sqrt(120) + sqrt(120))*1)\/sqrt(5))\/(2*sqrt(800) + 2*(sqrt(8) + sqrt(16)\/sqrt(2))))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 11*n - 10*n = -8, n + 14 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-204)\/74 - 1 - 1. Let c = -1891\/592 - l. Calculate the common denominator of 73\/20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + k - 3 = 0, -2*n - 16*k + 36 = -21*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 12. Let y be 1\/((-7)\/(-2)) - (-88)\/(-14). Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5 - 32*p**4 + 150*p**3 - 160*p**2 - 152*p + 192 = 0.\nAnswer: -1, 1, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 0.2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 112 * 7.49718\nAnswer: 839.68416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 + 5*b. Let n be t(-4). Suppose f + 2*f = n. Let k(j) = j**3 + j**2 - j - 2. Let w be k(0). Sort w, f, -1.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2145\/430 + -5). Let k = f - -188. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - s - 7 = 0, -5*g = 4*s - 13 - 11. Find the third derivative of j**2 - 4*j**g + j**4 + j**2 wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 + 5*z - 1. Let n be -5*-1*12\/(-10). Let h be g(n). Suppose 0*c + 20 = h*c. Solve -c*o - 24 = 4*j, -3*j - 5*o - 18 = 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.11 (b) 1\/6 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 24. Let p = 353 - 356. Let r be w(p). Is r at most as big as 11\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1957, -3872, -5661, -7312, -8813?\n\"Answer: 2*m**3 + 51*m**2 - 2082*m + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576872949.\nAnswer: 3, 4217, 45599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2889901, 5779797, 8669693, 11559589?\n\"Answer: 2889896*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtyiuci. What is prob of picking 1 i, 1 t, 1 u, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36073, 36962, 39383, 44104, 51893, 63518, 79747, 101348?\n\"Answer: 128*t**3 - 2*t**2 - t + 35948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 542*h - 30. Let j(s) = 544*s - 19. Calculate -2*a(y) + 3*j(y).\nAnswer: 548*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-6)*24\/(-80).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - 408*z**2 + 3*z + 508. Let p(t) = -11*t**3 - 1223*t**2 + 8*t + 1539. Let l(g) = 3*p(g) - 8*s(g). What is the first derivative of l(w) wrt w?\nAnswer: -3*w**2 - 810*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 887*u - 5674 = -886*u, -w + 5*u = -5654. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.059 + -0.259. Let x be (-2)\/(-21) - 4\/6. Which is the third biggest value? (a) 3 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/(-350))\/(3\/5). Which is the second biggest value? (a) -11 (b) -0.1 (c) f (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 11?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = 5*b - 6, -3*b + 23 = 2*p. Let z be (-2)\/(-4)*(0 + -2). Let u be (z\/2)\/((-3)\/30). Calculate the highest common factor of u and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -101121001101?\nAnswer: 101121000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4)*2\/4. Suppose 0 = 2*x - 6. Which is the nearest to r? (a) x (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7143 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/4 - 5*x**3\/3 + 3*x**2\/2 - 2. Let y be d(4). Let s be 7\/21 - 4\/(-6). Sort y, s, -2.\nAnswer: y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2510726585, -2510726587, -2510726589, -2510726591?\n\"Answer: -2*b - 2510726583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i**2 + 100*i**2 - 66*i**2.\nAnswer: 143*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221733740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 - 4*k. Let f be x(-2). Let u(g) = -1 + g**3 + 0 + 3*g**2 + g**2 - 4*g. Is u(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*p**2 - 138*p**2 - 46*p**2 - 3 + 3 - p**2 + (2*p**2 - 7*p**2 + 3*p**2)*(1 - 3 + 0) in the form o*p + w + n*p**2 and give n.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0 + 0 + 12309*q - 12316*q. Let k(l) = -10*l. Give m(k(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqjqyqjyqyyqqqyqqyqy. What is prob of picking 2 q and 2 y?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + 22\/(-3). Suppose 3*v + 1 = c, 23*c - 5*v = 22*c + 5. Sort y, c, 0, 4 in ascending order.\nAnswer: y, c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3057*k - 124757 = -44855 + 42378 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 857.6 - 18.6. Let m = -839.000000309 + z. Round m to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 - 3*q**2 - 5*q + 2. Let g(i) = i**3 - 2*i**2 - i - 1. Let z(d) = 3*g(d) - w(d). Determine z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 225386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463072 by -1.\nAnswer: 463072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2)*(-3308*p + 2202*p + 2192*p - p + 0*p + 3*p + (1 - 1 - 2*p)*(-1 - 1 + 3) + 3 - 3 - 3*p).\nAnswer: -1083*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858076745 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (6 + (40 - 42)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-429)\/(-8580) - 37\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:03 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-10)*b**(-3\/10)\/b)**(-10\/13))**(1\/22) assuming b is positive.\nAnswer: b**(-97\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l - 1. Let j(x) be the third derivative of 7*x**5\/30 - x**4\/6 + 7*x**3\/6 - 2413*x**2. What is -j(o) - 4*k(o)?\nAnswer: -18*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 3) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45*(-98)\/((-30576)\/117)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b**2 - 4*b - 35. Let z(c) = c**3 - 17*c**2 + 15*c + 11. Let u be z(16). Let a be i(u). Suppose -120 + a = 2*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s - 22*s - 328 = -38823*y + 38820*y, -164 = -2*s - 4*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (8 - -2) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*p**2 - 40 + 104*p**2 + 29 + 9 + 2.\nAnswer: 193*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420*l**4 - 344 wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose 2*h = 5*h + v - 1, 5*v = -b*h - 21. What is the first derivative of -2 + 3*y**2 - y**2 - y**h wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 87. Let i = -24.64 - r. Let n = -0.66 + i. Which is the closest to -0.1? (a) -0.5 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2496, -8, -14, 1, 4, -4, 0 in decreasing order.\nAnswer: 2496, 4, 1, 0, -4, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 36 + -75 + 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c + 41. What is m(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 + 848*h\/7 - 844\/7.\nAnswer: -4*(h - 211)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -57546.9528 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 30*c**3 - 16*c - 36*c**3 + 90*c**3 - 26*c**3 + 5*c**4 to the form w*c**4 + r*c + l*c**2 + a*c**3 + g and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250*-44193.3.\nAnswer: -11048325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:05 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348*q - 348*q - 5 - 345*q + 1042*q + q**2 - 30*q**3 + 6*q**2 to h*q + b + x*q**3 + n*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 1\/3*z**3 - 6 - 4*z**2 + 4*z. Calculate j(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 3*f + 1. Let m(t) = -23471*t + t**2 - 2 - 2*t**2 + 23473*t. Calculate 2*k(i) + 3*m(i).\nAnswer: i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 8 = -10*n. Let z be (n + 60\/(-14))*2. Which is the second smallest value? (a) 1 (b) z (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 1084, 1627, 2170?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/125*(-65)\/(-104).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10044 + -3647?\nAnswer: -13713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 96932.18 years?\nAnswer: 96.93218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 962 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 2) + (-12 - (-16 + 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17526148 and -5?\nAnswer: 17526143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/59527 and -101\/12532?\nAnswer: 238108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = r. Solve -13 = 5*c + r*n + 10, 0 = -c + 4*n + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 28*g - 1. Determine z(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -274*u + 543*u - 271*u. Let c(g) = 25*g - 3. Determine s(c(b)).\nAnswer: -50*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a**2 + 13*a**2 - 36 + 32 to the form q*a**2 + d + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxtxngtgaaggxtaahh. What is prob of picking 1 x, 1 h, and 1 g?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s + 2. Let f be j(-5). Suppose 2 = f*y + w, -3*y - 4*w + 2 - 9 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1082 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -12. Suppose -j*i = -0*g + 3*g - 14, 3 = 2*g - 3*i. Which is the nearest to -0.1? (a) -5\/3 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85576763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 3340 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - ((-65 - -181) + -21).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -26*s + 36. Calculate the greatest common divisor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from shsmmmmsmsmmshmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = u, 0 = 3*g + 2*u - 56. Let h(w) = -w**2 + 3*w - 1. Let j be h(2). What is the remainder when (-13 - -8)*(-14)\/j is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(4\/9)*l*l)))\/(l**13*l)*l*l*l**(1\/6)*l**(-6\/7))**(11\/2) assuming l is positive.\nAnswer: l**(-14201\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(39)\/sqrt(3))**2 + (2 + sqrt(325) + -5)**2.\nAnswer: -30*sqrt(13) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 15) in base 14?\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 8. Give n(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240608 by 4.\nAnswer: -60152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(2\/(-10) + 14\/20). Let l be (-14)\/x - (-30)\/(-8). Let k be ((-1400)\/15)\/(l\/180000). What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -923?\nAnswer: -5\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 83 + 298 + 16 + 214)*(3 + 2*f - 3) - 5*f + 8*f - 4*f.\nAnswer: 933*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = -4*g, -3*f + 3 - 5 = 5*g. What is the units digit of (1\/g)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from oololooooo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1646, 1952, 2360, 2924, 3698, 4736, 6092?\n\"Answer: 9*s**3 - 3*s**2 + 252*s + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6535, 52332, 176631, 418678, 817719?\nAnswer: 1413000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102324*p**2 - 18992 wrt p?\nAnswer: 204648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Find the second derivative of r - 3*f**5 - 2*f - 2 + 5*f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + 0*a**2 + 0*a**2)*(18 + 13 - 8)*(1 + 3 - 3) in the form v + f*a**2 + b*a and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -503.\nAnswer: 120\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + 19a?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21949373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1111301103?\nAnswer: -1111301102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q - 204 + 78 = 130. Let v(g) be the third derivative of 0*g - 19\/60*g**5 + 0*g**q - 1\/6*g**3 + 0 + 30*g**2. What is the derivative of v(f) wrt f?\nAnswer: -38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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(b) = -17*b + 948. Let q(x) = -4*x + 250. Let f(u) = -9*q(u) + 2*s(u). Let g(z) = 6*z. Determine g(f(m)).\nAnswer: 12*m - 2124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -0.4 (c) 5 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56079.43 millilitres?\nAnswer: 56.07943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 9*z**2 - 3*z + 34. What is y(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111\/5 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - -21?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -397*(-2)\/374 - (12\/(-66))\/((-8806)\/(-2849))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-303))\/(2\/(-4)). Let v = -584\/3333 + p. Let j = -986.2 - -992.2. Which is the fourth biggest value? (a) j (b) v (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/180*172 - (-2)\/3 and -73\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20103, 11, -495.\nAnswer: -495, 11, 20103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 22*q + 17472 = 0. Let o be q\/528 + 2\/11. Sort -15, 5, o in decreasing order.\nAnswer: 5, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 8. Let p be u(4). Calculate the highest common divisor of p and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4 + 4*l - 5*l + 1. Let v(t) = 1. Suppose -2 = 5*b + 3. Suppose 3*c = d + 10, -d - 4*c = -0*c - 25. What is b*n(u) + d*v(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3381*-1\nAnswer: 0.3381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -423*b**3 + 8*b**2 + 11*b - 137. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -24 + (6 + 0 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*9\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33321*b**3*j**3 + 32713*b**3 wrt j.\nAnswer: -99963*b**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/(-395))\/((-2)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 261989*h**2 + 39706 wrt h?\nAnswer: 523978*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let y(a) = -9*a**2 - 23. Give y(j(w)).\nAnswer: -36*w**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1355850 and 85150.\nAnswer: 17626050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1408 times -0.1?\nAnswer: 0.31408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = 29*h - 42*h. Solve 6*q - q - h = -m, 5*q - 21 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 12:18 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d + 3778 = -205*d + 32*d - 5638 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 29*q + 3 - 7*q + 16*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**4 - 3*g**4 - 7*g**3 + 1246*g**2 - 3995*g**2 - 68*g**4 + 20*g**4 wrt g.\nAnswer: -1488*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/33659142?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.5459.\nAnswer: -0.10918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 + c - 1. Let r be d(-3). Suppose 0 = 7*q - 143 - 256. Let p be q\/(-38) - 26\/(-12). Sort r, -0.4, p.\nAnswer: -0.4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3611 - 3361. Calculate the greatest common factor of 3375 and v.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 - 14*w + (-5*w + 4*w + 3*w)*(-1 - 1 + 1).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 950\/20*(-4)\/20*(-4)\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 - 66*i + 86. Let k(m) = 3*m**2 + 44*m - 57. Let c(z) = -8*k(z) - 5*w(z). Suppose 11*x + 1176 = 60*x. Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 534. Let q be 4 - (0 - s\/(-63)). Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6496 is divided by 949.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 + u**3 - 3*u**2 - 21*u**4 + 7*u**2 - 4*u**2 - 37*u + 5 wrt u?\nAnswer: -252*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6184*l**3 - l - 214*l**3 + 54*l**2 - 44*l**2 + 1911*l**3 - 10. Let z be s(-10). Round z to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2625\/315)\/(5\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -39*f**4\/7 - 222*f**3 - 501*f**2\/7 + 4362*f - 4680\/7 = 0?\nAnswer: -39, -5, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 = 5*z. Suppose 5*f + 2*x + 0 = 2, 0 = -z*f - 5*x - 12. Solve -4 = -f*m, 0 = -t - m + 4*m - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9776 is divided by 391.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 + 5*b**4\/8 - 7*b**2. Find the second derivative of i(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 + 6 = -g, 3*r + 9 = -5*g. Let h be 19*-200*(g - -1). What is h rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 13*r**2 + 13*r + 9. Let g be y(14). Let s be (-6 - g)\/((-1)\/21). Calculate the greatest common divisor of s and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.64 (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -60.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 0 + 0 + 3*u**2 + 5*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5.9. Let k = -0.7 + i. Let z(x) = -x**2 + 6*x. Let h be z(6). Which is the closest to 0.1? (a) -5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 6*z + 12. Suppose 14 = -2*w + 4*j, 5*w + 2*j - 7 = 18. Let y be l(w). Solve 2 = n - 2, 0 = -y*o + n - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - -53. Let u = 117 - y. Which is the closest to u? (a) 0.06 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyyy when four letters picked without replacement from yyyyyyyyyyyyyyj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*a + 30, 5*u - 272 + 357 = -22*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (139 - 132)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:16 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199716 and 33?\nAnswer: 199716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 321004327 and -2.\nAnswer: 321004325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:36 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1) + (0 - (10 - 13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 111 + 118314*a**3 - 118328*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 3952.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijtu when four letters picked without replacement from {i: 1, d: 1, j: 4, t: 3, u: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48858 is divided by 870?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s, 8*y - 5*y = -5*s + 53. What is the least common multiple of 6 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 984131*6.\nAnswer: 5904786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71245 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/3)*(o\/(o*(o**6\/o)\/o))\/o*(o*o**1)**(-4\/13))**37)**30 assuming o is positive.\nAnswer: o**(-100270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0.3, -0.4, -1\/3, -4\/67 in descending order.\nAnswer: 5, 3, 0.3, -4\/67, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0.4 (b) 2\/11 (c) 0.3 (d) 21011 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326638979 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: Calculate the highest common divisor of 1221 and 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -1262934.\nAnswer: 125\/1262934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 4 (b) -1\/9 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 35*y - 7*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7852 + -7852. Which is smaller: 13\/482 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 34 + 11. Let c = 3 - x. Is 10 a factor of 2\/6 - 298\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 41.39259 years?\nAnswer: 0.04139259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - s + 4*s + 2, s = -4. Which is the second smallest value? (a) 0.5 (b) 4\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (-2*sqrt(297)*1)\/(sqrt(77)\/(sqrt(14)\/sqrt(2)) + (sqrt(22)\/(sqrt(2)*-2 + sqrt(2)) - sqrt(11))) + 1).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346 (base 8) in base 3?\nAnswer: -1201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218191621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 + 177. What is the common denominator of m and 31\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 58. Let l(o) = 2*o**2 - 8*o + 20. Let k be l(4). Let u be q(k). Let s = 7 + -12. What is the closest to 2\/7 in u, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54\/11 - 259\/55. Let u = -985 + 986. What is the closest to u in -0.1, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968123 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 8. Let h be z(5). Let f = -4.956 - 0.044. Which is the third biggest value? (a) f (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 516*i - 1566 = 0. What is i?\nAnswer: -261, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*i - 12440 + 106800. Are 1350 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13434 - 13448. What is the nearest to 1 in -6\/29, 3, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - p + 0*p. Let y(v) be the third derivative of v**5\/60 - 6*v**2. Determine y(i(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42820338\/61 at most as big as 701974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -8. Factor -15*u**2 + 6*u**2 + u**3 + 7*u**p.\nAnswer: u**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(3*t**4 - 3*t**4 + t**4) - 1578 - 74*t**4 + 1578.\nAnswer: -75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131489504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 226555.68 microseconds?\nAnswer: 0.003775928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 103685*n - 4 + 158960*n.\nAnswer: 262645*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 4 + 11 - 9 + 2 + 2*c.\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 + -48.3. Let d = r + 52.3. Which is the closest to -1? (a) 2\/3 (b) -5\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94158*i**2 + 65326*i.\nAnswer: 188316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26.927 times -1476\nAnswer: -39744.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/4*b**4 + b**5 + 1\/4 - 3\/2*b + 1\/2*b**3 + 2*b**2 = 0. Calculate b.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 + 2*f**3)*(f**2 + 2*f**2 - 2*f**2) + (0*f - f + 4*f)*(13*f**4 - 8*f**4 - 25*f**4)*(-9 - 2 + 8).\nAnswer: 182*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0284549 rounded to 3 dps?\nAnswer: -5.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284)\/(-396606)*-57 - (2 - 486\/(-98))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500477 (base 9) in base 11?\nAnswer: 515441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91991210?\nAnswer: 2, 5, 9199121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3)\/(1\/2). Let a(y) = -y + 6. Let p be a(0). What is the greatest common divisor of p and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1625, -1677, -1729, -1781, -1833?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/11*(-726)\/264.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-30))\/((-16)\/(-40)). Let k(v) be the second derivative of v**5\/20 + v**4\/4 - 2*v**3\/3 - v**2\/2 - v. Let s be k(-4). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14236 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:44 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14845523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8902152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3121422 + -2?\nAnswer: -3121424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/(430\/387))\/(21\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**4\/(k**(-9)*k**(1\/11)) assuming k is positive.\nAnswer: k**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -48*a + 426. Give q(16).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l**3 + l**2 - 3*l - 2. Let v(h) = h. Determine -t(w) - 5*v(w).\nAnswer: -15*w**3 - w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/60 and 49\/468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2903337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 39. Let k(o) = o**2 + o + 120. Let i be k(0). Suppose 0 = 5*m + x - 278, -i + 19 = -2*m + 3*x. What is the highest common divisor of t and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -401 by -2584.\nAnswer: 401\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2 + 2 + g**3) - 2*g**2 + 2*g**2 + 31861*g**3 - 31163*g**3.\nAnswer: 699*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/2 (b) 2 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399240 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149888, 299782, 449674, 599564?\nAnswer: 749452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 43 + (1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -0.2. Let l = 1.6 - 4.6. Let v = -8 + 4. What is the second smallest value in l, v, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 46 - 3 - 4. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 17*o - 76. What are the prime factors of b(47)?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160420428?\nAnswer: 2, 3, 7, 257, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose g*w = -2*q - 20, -2*q - 3*w + 7*w = 20. Let o = q + 10. Solve o = -4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2111 bigger than -1636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(60\/16))\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 5*l - 2*x, x - 5*x = -2*l + 196. Find the third derivative of -30 - 7 - l*d**5 + 2*d**2 + 0*d**2 - 18 wrt d.\nAnswer: -5880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 13*a + 7. Does 10 divide j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 7*t - 9. Does 29 divide s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*b**2 - 4518*b + 4523*b + 311*b**2.\nAnswer: 200*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 111955 and 111957 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 7) to base 12\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -797, -2, -19, 10, 0, -6 in increasing order.\nAnswer: -797, -19, -6, -5, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 plus 89255629170?\nAnswer: 89255628498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g - 5. Let k be w(-2). Suppose -7*p = -4*p - k. Solve -5*u = p, -26 = a - u + 6*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 22 + 9 + 85*z + 10 - 18008*z.\nAnswer: -17923*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 766343 + -2?\nAnswer: 766341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5494*p + 33015. Give n(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 7}. What is prob of picking 2 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/203293? (a) 0.4 (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 - -701. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = -11. Suppose 5*p + 10 = 0, 45*o + 4*p = 40*o - 13. Sort o, x, 5 in ascending order.\nAnswer: o, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, r: 4, o: 6, w: 3}. Give prob of sequence osr.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-4*k - 5 + 5)*(-k**3 - 3*k**3 + 5*k**3)*(0 + k + 0).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hroq when four letters picked without replacement from {h: 1, q: 2, x: 1, i: 1, o: 2, r: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 3*w - 54, -17 = 4*t - 1271*w + 1272*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 5*a - 4*n, -10918*n + 10921*n - 79 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/13, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 12*y - 12. Let x(u) = -u + 1. Let k(c) = -c**3 + 3*c**2 - 2*c - 1. Let b be (1\/2)\/(6\/24). Let i be k(b). Calculate i*g(j) - 12*x(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/168*9 - 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -395072 - -323564077\/819. Let g = 2\/91 - b. What is the nearest to -1 in 5, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2, -j = -2*j + 4*c + 12. Suppose 0 = -2*o - 0 - j. Let n(t) = -t**3 + 0*t + 3*t - 3*t**2 + 3 + 0. What is n(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -259525, -519053, -778581?\n\"Answer: -259528*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.3, 1\/4, -3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*w - 20 = 0, -8*n + w - 21 = -3*n. Let k(j) = j**3 + 4*j**2 + j + 3. Let c be k(n). Let f be 2 + 21\/(-18) + c. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z - 5*m, -11 = -2*z - 3*m - 1. Solve z = 3*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 20 = 0. Suppose l = -4 + i. Let p = 44 + -14. What is the remainder when p is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*z**2 - 3*g**2*z + 95154*g*z**2 + 2*g*z - 2*g + z**2 + 21*z wrt z?\nAnswer: -2*g**2 + 190308*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(63) + 1)*-6 + sqrt(1575)*-2 + sqrt(63).\nAnswer: -45*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 - t**5\/60 + t**3\/6 - t**2. Let m(i) = 2*i**3 - 2*i**2 + 2. What is 3*a(k) - 2*m(k)?\nAnswer: -k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 531 times -118\nAnswer: -62658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.1. Let g = -0.5 - x. Suppose 4*n = -16, 5*n = -4*h + 1 - 17. Which is the third smallest value? (a) 5 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1565653788 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**4\/5 - 682*w**3\/5 + 10314*w**2\/5 + 19498*w\/5 - 1524 = 0. Calculate w.\nAnswer: -127, -2, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (11 - 3 - 27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 232570 and 0.1.\nAnswer: 232570.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 3228782*f\/5 - 19372764\/5.\nAnswer: 2*(f - 6)*(f + 1614397)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 6*z + 2. Give d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 + 7*n**2\/2 + 2*n. What is the derivative of t(s) wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19563 + -430461\/22. Let a = -830937\/8 - -103862. Find the common denominator of r and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m*(m**(-3)\/m)\/m*(((m*m*m**3)\/m)\/m)\/m*m\/(m*((m\/m**9)\/m)\/m)*(m**8\/m**(-1))**12 assuming m is positive.\nAnswer: m**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*x**4 + 2*x + 0*x**4 - 4 in the form v*x**2 + z + n*x + w*x**3 + s*x**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 5*v**2 + 3 + 13*v**2 + 3*v**2 with respect to v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1127 - 1111. Solve 4 + p = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 2*u + 3*u, 2*c + 21*u + 6 = 7*u + 12*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(304) - (sqrt(304) - (1 + sqrt(304))) - sqrt(304)) + -2)*1 - (3*sqrt(475)*-2 - (sqrt(475) - (-1 + sqrt(475)))*-6))*4 + 1)**2.\nAnswer: -6480*sqrt(19) + 274329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 110 = 18. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {q: 14, c: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaoe when four letters picked without replacement from {n: 1, a: 3, e: 6, o: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, e: 4, l: 2}. What is prob of sequence hhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Suppose 3*c - c - 18 = 0. Let n(i) = 2*i**2 + c - 9. Give j(n(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 8*m + 9. Let s be p(-6). Let t = -82.9 + -1.1. Let f = t - -84. Which is the second biggest value? (a) s (b) f (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2057 divided by -6.\nAnswer: -2057\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192 - 143. Suppose -p*r + 46*r = -327. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9 - 9 - (-1797 - (2 + -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**7\/21 + 23*b**5\/4 + 171*b**4\/4 + b**2\/2 + 27*b. Find the third derivative of d(o) wrt o.\nAnswer: -120*o**2 + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 299530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -2 + 2 + -1. Suppose 544 - 2129 = -h*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-10 + 3*a - a**2 + 1 + 6).\nAnswer: a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a - 1. Let y(s) = -6*s**2 - 2*s + 8. Let o(z) = -5*d(z) - y(z). Let m be o(-6). What are the prime factors of (m\/(-2))\/((-4)\/(-88) - 0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:58 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - n - 2 = -16, 3*h + 2*n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/2 + 70. What is the common denominator of 15408\/(-384)*(2\/7)\/((-300)\/(-28)) and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -982 or 0?\nAnswer: -982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -6*q - 9, 26*u + 42 = -27*q + 30*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**3\/6 + 4*z**2 - 22*z. Let v be p(-12). Which is the closest to -2\/7? (a) v (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/8, -3, -12, 6, 0, -16 in decreasing order.\nAnswer: 6, 0, -15\/8, -3, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4687, -4528, -4259, -3880, -3391, -2792, -2083?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i**2 - 5*i - 8875 - 6*i**3 + 3*i + 4439 + 4438 + 4*i**3 to the form n*i + x*i**3 + c + u*i**2 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 817052098, 817052094, 817052088, 817052080, 817052070, 817052058?\n\"Answer: -u**2 - u + 817052100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335812.\nAnswer: 2, 37, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/22 - 66\/363) + 0. What is the closest to -0.2 in -1\/4, u, 12, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 2*-3*sqrt(170) + sqrt(170))\/sqrt(10) - ((sqrt(17) - (1 + sqrt(17))) + 5 + -3))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 38485 = -2*k, -5*k - 182*h + 184*h = -96271. What are the prime factors of k?\nAnswer: 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/9 and 5\/39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb3927 - -3?\nAnswer: bb392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + r - 6 + 0*r + 5*r. Let a be w(4). Let p(t) = t**2 - 2*t - 3. Determine p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-3)\/(-36)). Let w(p) = -2*p - 9. Let r(t) = t - 14. Let q be r(7). Let m be w(q). Put -2, m, j in increasing order.\nAnswer: -2, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 0. Suppose q*y - 43 = 7. Let z(j) = j**2 - 3*j - 6. Calculate the least common multiple of y and z(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 21. What is a(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.993 - -4.\nAnswer: -3.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*c - 213 = 0, 371 = -5*t + c + 2*c. Let u = t - -79. Suppose -u*b = 2*b - 865. Is 41 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35505 and 1578.\nAnswer: 71010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 - 4) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.974 - 6.974. Suppose -3*p = d - 6*d - 28, -2*p + 2 = 0. What is the third biggest value in d, 9, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 6214 + 6214.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 0)\/(21\/30 + 57\/(-285)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/((-16)\/40). Solve p - z + 8 = -3*p, 0 = y*p - 3*z + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j. What is the remainder when 50 is divided by 19 + 0 + (-2 - j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270*j + 282*j + 144 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -335, -626, -991, -1430?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 20. Let n(r) = r**3 - 6*r**2 + 3*r - 18. Let u be n(z). What is the first derivative of u*l**3 + 2*l**3 + 31 - 17 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 7210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 12) to base 8\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 126502166928260.\nAnswer: -126502166928256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10340159?\nAnswer: 41, 107, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15641020 is divided by 216.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 12416*y**2 - 86740*y + 74328 = 0 for y.\nAnswer: 1, 6, 3097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 1.2556092452?\nAnswer: 7.2556092452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23657655, -23657667, -23657679?\n\"Answer: -12*b - 23657643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(1\/13))*t)))\/t**(2\/25) assuming t is positive.\nAnswer: t**(274\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -26*o**2 + 1. Let l be n(1). Let i be 54\/(-5) + 5\/l. Let c = i - -14. Solve c*r + 0*r + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-14)\/(-12))\/((-39)\/(-2418)). Let n = 137 - r. Let 0 + n*j**2 + 0*j**4 - 1\/3*j**5 + j + 2*j**3 = 0. Calculate j.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgnggznggggnz. Give prob of picking 1 n, 2 g, and 1 z.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4 = 3098*u - 3097*u, u - 6*n = -10*n - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 27*i + 47. Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*b = 5*u, 0 = -3*u - 2*b. Let t be ((-9)\/(-6))\/(3\/8). Suppose t = o - 0. Put o, u, 5 in descending order.\nAnswer: 5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*4\/8 + 1. Let t be (4 - v)\/((-1)\/(-1)). Suppose -2 = r - t*r. Solve r*y + 8 = 4*q, 12 = -2*y - y + 2*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 3}. What is prob of picking 2 n and 1 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + 1*-1*sqrt(150) - sqrt(150))*4)\/((sqrt(3) - ((-2*sqrt(3) - sqrt(3))*5 - sqrt(3))) + sqrt(243)*2)*-3.\nAnswer: 12*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -248. Let t = h - -196. Solve -g = 2*g + t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/6)\/((-2)\/(-4)). Let g be (6\/45)\/((-49)\/735). Put b, 5, -4, g in decreasing order.\nAnswer: 5, g, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 640762, -5, -0.48 in ascending order.\nAnswer: -5, -0.48, 640762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 98206342*i**3 - 241527*i**2 + 80509*i. Let m(r) = -7319*r**3 + 18*r**2 - 6*r. Determine 80509*m(y) + 6*t(y).\nAnswer: -7319*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {p: 3, b: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -198. Suppose -33 = -13*g + r*g. Let b = 15 - 14.5. What is the second smallest value in g, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69051 is divided by 677?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1581\/(-238))\/(-93))\/((8\/(-360))\/(12\/(-15)))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/11))**27\/(((p**(-2\/13)*p*p*p)\/p)\/p**(-15)))**(-1\/39) assuming p is positive.\nAnswer: p**(1505\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n - 12*n + 13*n + (-4 - 2 + 5)*(-5 + 0 + 2)*(-n + 0*n - 2*n) - 2*n + 0*n + 0*n to y*n + v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvev when four letters picked without replacement from svsveevevdf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z - 2*d + 1045, 350 = -z - d. Let k = -1359\/2 + 1022. Let j = z + k. What is the common denominator of 101\/30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, 0.2, 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 5*s + 2*s - 11*s - s - 38.\nAnswer: -5*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 9*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(378\/(-48)))\/((-64)\/(-112))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -98. Let t = s - 15. Suppose 17*r + 318 = t*r. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose -3*b + 5 = -1, -c*q = 4*b - 11. Let m = q - -7. Let r(f) = f**3 - 7*f**2 - 9*f + 10. Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 15. Suppose -4*l - 2*b + 10 = 0, -l = g*l - 2*b - 6. Solve 0*q - 8 = -l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6390416.\nAnswer: 2, 399401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = 3*o, 0*j + j - 5*o = 18. Let l = -14 + 20. Let k(d) = -4*d - d + l*d. Let c(s) = 2*s. Determine j*k(a) - 2*c(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111355 < 111245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 276*r + 3888 = 0.\nAnswer: -81, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24512 - -24517. Solve 4*u + 28 = 12, 0 = -a*d + 4*u + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004 is divided by 582?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000249841 to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 3*n**2 + 0*n**2 - 3*n**2 + 3*n**2 + n**2 + (2*n - 3*n + 0*n)*(0 + 0 + 2*n) + n**2 + 2*n**2 - n**2 - 113 + 27*n**2 + 113.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-21 + 39 + 20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaiaiiaidaaaiaa. What is prob of picking 2 a, 1 d, and 1 i?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (30\/12 + 1 + (-1220)\/360)\/((-14)\/6)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94699569841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*k - 557 = t - 585, 4*t - 9*k + 48 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {b: 6, e: 11, h: 1}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 2*p = -3*v + 3, -v = 4*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 1090 - 3815. Let b be (-1 - (-8882)\/(-16))*-1. Let q = b + g. What is the common denominator of -20\/11 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24780578 is divided by 4130092?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. What is the closest to 2 in 2\/7, -0.1, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59321, 59335, 59373, 59447, 59569, 59751, 60005, 60343?\nAnswer: 60777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.5 and 0.3.\nAnswer: 14.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2444 + 2444.0002017. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1061125 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, 0, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 5*x**9\/168 - x**5\/4 + 9*x**2\/2 + 4. Let k(m) be the second derivative of l(m). What is the third derivative of k(o) wrt o?\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3564*k**2 - 16*k - 5. Let z(j) = 9*j**3 - 32075*j**2 - 152*j - 46. Give 19*o(x) - 2*z(x).\nAnswer: x**3 - 3566*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*j - 3672 = 0, 1791*j - 1787*j - 2496 = -2*a. Calculate the smallest common multiple of a and 5.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3267125 and 10325.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(2 - 2 - 2*s)*(5 - 15 - 35).\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {l: 4, c: 2, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -35*n - 1. Suppose -m - 2 = -3*l, l + 5*m + 20 = 6*l. Calculate the remainder when z(l) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624 divided by 11098\nAnswer: 312\/5549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -7*c**5\/10 + c**4\/12 + c**3\/2 + c**2\/2 + 8*c - 1. Let g be h(4). What is the hundreds digit of g\/(-6) + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23211769 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4540050 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.048500694 - -0.0485. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007014871 rounded to six dps?\nAnswer: -0.007015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 2209*f**6\/60 + f**5\/60 + 281*f**4\/12 + 37*f**2 - 2*f + 15. What is the second derivative of x(v) wrt v?\nAnswer: 26508*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 + -11 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18467, -1, 0, 3, 60 in descending order.\nAnswer: 18467, 60, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46 - -3)*3\/6. Factor 2 + 10*f + d*f**4 - 3\/2*f**2 - 35*f**3.\nAnswer: (f - 1)**2*(7*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21158.\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwvv when four letters picked without replacement from {t: 1, k: 2, v: 5, w: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -8, 5, -16, 0 in decreasing order.\nAnswer: 5, 1, 0, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -286*o**2 - 4*o - 4. Let b be j(3). Round b to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -1359, -1858, -2373, -2910, -3475, -4074?\nAnswer: -4713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 62, -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100442443 rounded to 6 decimal places?\nAnswer: -0.001004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 2. Let k be n(-9). Let d = 7 + k. Suppose 2*w - 3*w + 2 = d. Solve o = w*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 11:50 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*w**2\/3 - 680*w - 1734 = 0. What is w?\nAnswer: -51\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26301191\/240 + 1752435\/16. Let h = -287\/5 - b. Find the common denominator of h and 1\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -88, -136, -194, -262, -340, -428?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286460 is divided by 13127?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 12*r. Let x be -4 - ((-4 - -2) + r). What is the tens digit of (x + 4 + 121)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Suppose t - 3*g + 7 = l, -7*g + 4*g = -2*t - 14. Let r = -4 - t. Solve -h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 9.7\nAnswer: 0.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, -1, 0.4, 2, -0.5 in decreasing order.\nAnswer: 2, 0.4, 0.39, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**3 + 4*s**2 - 4*s. Let r(a) = -a**3 + a**2 - a - 1. Let b(j) = -f(j) + 4*r(j). Differentiate b(t) with respect to t.\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 209*h**2 - 72 - 211*h**2 + 84 - 16 + 16*h**3 to the form g*h + t + j*h**2 + i*h**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -1 + -4 + sqrt(35)\/sqrt(112) + 1.\nAnswer: -4 + 33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2344012 (base 6) to base 7.\nAnswer: 1020500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 2*w - 2*w**3 + 2*w**2 - 5*w**2 + 0*w**4 in the form d*w**2 + a*w**4 + n + m*w + s*w**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g - 1968 - 112 = -336*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82775196 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.0119 litres to millilitres.\nAnswer: 804011.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -5*n, 4*n + n = 0. Factor -2*j**g + 68 + 16*j - 2*j**2 - 84.\nAnswer: -4*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*d - 18. Let u be 6\/d + (-4 - -16). Let l(x) = -599998*x - 30. Let z be l(u). Round z to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 322 + 551. Let k(s) = s**2 - 40*s - 69. Calculate the remainder when j is divided by k(42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*1\/7)\/((-9)\/(-18)). Factor h*r**2 - 2\/7*r - 4\/7.\nAnswer: 2*(r - 2)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 24*l - 147 = -186*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 5\/4 (c) 0.044 (d) -1\/28 (e) 2\/5 (f) 8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3064*j + 174041 + 63782 - 6883 = 28716 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(605) + 2 + 2.\nAnswer: 1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64595467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/5? (a) 5 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.002224 - 0.202224. Let s be 1\/5 + (-33)\/15. Suppose 4 = 3*q + 19. Which is the biggest value? (a) d (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is af67 (base 16) in base 8?\nAnswer: 127547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x - 12 = 0, -3*k - x + 0*x = -8. Let z(r) = r**3 - 3*r**2 + 4*r - 3. Give z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 338, 348, 362, 380, 402?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(-18)\/(-42) + -3. Which is the biggest value? (a) -0.5 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 62*w + 805. What is i(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/3040*10564\/(-4170)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -4*k**3\/3 + 2*k. Let z(w) = -w. What is z(h(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*p + 4*p - 35, -135 = -4*k + 3*p. Suppose -38*d + k*d = -888. What is the remainder when d is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3474 in 0.5, 2\/5, -38, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -22, 6\/11 in increasing order.\nAnswer: -22, 6\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.22827 * -0.1\nAnswer: -0.422827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214740*b**2*d**2 - 2*b*d**2 + 2*b*d + 919*b + 3*d**2 wrt b?\nAnswer: 429480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/5 - 3338*p**4 + 1363453*p**3\/5 - 26519532*p**2\/5 - 57196188*p\/5 - 29296512\/5 = 0. Calculate p.\nAnswer: -1, 42, 16608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -1450, 2 in increasing order.\nAnswer: -1450, -0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-10))*g*g**(-6) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 2*h. Find k such that -10\/7*k + 6\/7*k**h - 4\/7 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25917890?\nAnswer: 2, 5, 103, 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -3.51, 18\/7 in ascending order.\nAnswer: -3.51, 2\/21, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 48 + -60 + 0 + 2 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -72) + -36 + 32?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1925 is divided by 489?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 14*m + 13. Let g be y(13). Let a = 2 - g. Solve -4*n + 15 = 4*h - 9, -a*n - 4*h + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105892 (base 11) in base 3?\nAnswer: -22120111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 3*z - 5*z)*(2 - 4 + 5).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/14)\/6)\/(10\/12).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 5*x + 5. Let d be n(2). What is the second derivative of v - 4*v - 35*v**3 + d*v - 3*v wrt v?\nAnswer: -210*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -135, -4, -1, 3 in decreasing order.\nAnswer: 6, 3, -1, -4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 - 69a9a?\nAnswer: -69b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 9855.\nAnswer: 9855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44518?\nAnswer: 2, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/321 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164*i**2*n - 4*i**2*o**2 - 2309*i**2*o - 5*i*o**2 - n*o**2 + 61*n*o + 2 wrt n.\nAnswer: -164*i**2 - o**2 + 61*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6242503 is divided by 3121140?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4214 and 14798?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16*i**3 - 4*i**2 - 4*i + 4. Let d(j) = -j**2 - j + 1. What is 4*d(q) - x(q)?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-16)\/v*v*v))\/(v\/v**13))\/(v*(((v*v**(1\/6))\/v)\/v)\/v)**(-3\/8))**(-6) assuming v is positive.\nAnswer: v**(-1329\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 + 14836*q**4 + 416431*q**3 - 3552706*q**2 + 3121440*q = 0. Calculate q.\nAnswer: -35, 0, 1, 6, 14864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -42. Let z(c) = 5*c**3 + 3*c - 10. Let h(w) = -5*w**3 - 2*w + w - w + 9. Let k(a) = i*z(a) - 3*h(a). What is the first derivative of k(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 222, 0.\nAnswer: -3, 0, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -31. Let c(n) = 46*n - 51. List the prime factors of c(u).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - n - 3*n. Let h(a) = 349*a + 760. Let q(d) = 95. Let w(l) = h(l) - 8*q(l). Determine w(y(x)).\nAnswer: -698*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(-11*(-40)\/(-24)). Let v = z + -24\/55. Which is the second biggest value? (a) -3 (b) v (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 1)*(-p + 0*p + 0*p)*(2*p + 0*p + 0*p)*(0 - 7 + 2).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 22*b - 35. Let q be 6\/(-15)*50*2\/(-8). Let s(y) = 14*y - 23. Let z(f) = q*c(f) - 8*s(f). Let n(v) = 5*v - 26. What is -4*n(o) - 11*z(o)?\nAnswer: 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 3*s. Suppose 2*a - 7 = -j + 4*a, -4 = 2*j + s*a. Factor 4*r**3 - j*r**3 - 3*r**3 - 4*r**2.\nAnswer: -2*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*g - g - 12, 0 = 2*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -11 - 11. Let h = -5 - c. Suppose h*w + 200 = 11*w. 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 2705954 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29429, 31793, 34151, 36497, 38825?\nAnswer: 41129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from bwarrbrrrrrabb.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460\/328023 or -1?\nAnswer: -460\/328023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/6 + f**2\/2 - 60*f. Let n(p) = -p**2 - 1. What is -n(z) - s(z)?\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1038)\/(-4))\/((-100)\/(-40)) + 12\/(-15). Solve 108*t - w*t = 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 1765958400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/12 - 17*k**3\/6 + 26*k**2. Let r be x(10). Suppose 2*o - r*o = o. Solve 2*w + 2 = o, -2*t = t - 5*w + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvnivviv. Give prob of picking 1 n and 2 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 16*c**2 + 1. Let d(a) be the third derivative of 2*a**5\/15 + 543*a**2 - 1. Calculate d(g(p)).\nAnswer: 2048*p**4 + 256*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010523994 to 7 decimal places.\nAnswer: 0.0001052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53469.\nAnswer: 3, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587978.6km to centimeters.\nAnswer: 58797860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1414 - 1414 - 31*w**2 + w**2 + w**2 + 0*w**2 + (0*w - w + 2*w)*(3*w - 4*w + 3*w).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 + 31*o**2 - o. Let g(v) = 2*v**3 - 15*v**2 + v. Give 5*g(i) + 3*j(i).\nAnswer: -2*i**3 + 18*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*p**2*y**2 + 2*p**2 + 3*y**2 - 21 with respect to p.\nAnswer: 214*p*y**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + 39*m**3 - 16*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1487194 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 8*r**2\/7 + 10*r\/7 + 4\/7.\nAnswer: 2*(r + 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96150 is divided by 23574.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5446\/(-112) - (-3)\/(-8). Suppose 3*t - 97 = -0*a - a, -2*t - 82 = -a. Let m = x + a. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15208 + -2347962?\nAnswer: -2332754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from booikkbooikknpkikki. What is prob of sequence kb?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14984\/36 + (-4)\/18. Let z be (-4)\/(-18) + -6 + u\/72. Solve 6*x - 4*x - 2*s + 10 = 0, z = -5*x + 3*s - 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - 10*q + 48. Let s be p(-15). Let c = 3295 - s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 55*h**2 + 159*h - 295. What is r(52)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*r - 3, 6 = 3*r - 4*r - 3*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1)\/22*2. Suppose 42*t - 56*t - 249 - 409 = 0. Is t at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/20 - n**4\/12 - 5*n**3\/6 - 3*n**2\/2 + 10*n + 2. Determine x, given that k(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695021760?\nAnswer: 2, 5, 5296943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 612 in 2, 10\/3, -38?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/((-2)\/(-4))*(-549)\/(-732)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/118 - 3059\/1062. What is the common denominator of p and 199\/4 - 1\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u + 3*u**2 + 12 - 6*u**2 + 2*u**2. Does 8 divide n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -752 + 703.2. What is l rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tddd when four letters picked without replacement from {d: 4, f: 2, z: 2, t: 3, s: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 4877.\nAnswer: -146.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198079\/13 + -15237. What is the nearest to 0.1 in 0.12, s, 3, -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2956 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163 + 163 - 16*n**2 - 9*n wrt n.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:36 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 64. Let t(o) be the third derivative of -o**5\/6 - 27*o**2 + 1. Determine t(z(s)).\nAnswer: -40*s**4 + 2560*s**2 - 40960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -550669242*v**2 - 311011778 wrt v?\nAnswer: -1101338484*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 2*t**2 - t + 1. Let x be w(-2). Let i be (6\/9)\/(21\/63). What is the third derivative of h**x + 16*h**2 - 2*h**2 - h**i wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2. Let d(p) = 159*p - 1004. Calculate d(z(x)).\nAnswer: 795*x**2 - 1004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = l + 9, -2*l + 7 = 4*x - 11. Suppose 2*n + o - 106 = 2*o, 5*n + l*o = 254. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 10*y**2 - 16*y - 2. Let v be f(-8). Let r = 2.195 - 1.895. What is the nearest to v in -5, -4\/7, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/3 - 17*p**2\/3 + 6*p = 0 for p.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 - 28*a**3 + 181*a**2 - 438*a + 360 = 0. Calculate a.\nAnswer: 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890262 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/387255 and 157\/9927810.\nAnswer: 109205910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 75 + 37 - (2 - 34)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20837 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114703, -114886, -115197, -115642, -116227, -116958?\nAnswer: -117841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20974 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206*g - 1313*g + 2440*g.\nAnswer: -79*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3918, -3933, -3966, -4023, -4110, -4233, -4398, -4611?\n\"Answer: -w**3 - 3*w**2 + w - 3915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*d + 14 = -42, 5*x = -4*d + 140. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67215808 by 6754.\nAnswer: 9952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Solve 15 = -o - 4*u, -2*o - u - 2 + r = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/9 + 28*g\/3 + 4736\/9 = 0. Calculate g.\nAnswer: -32, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39394774 and 1158.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5026 - 10769 = -448*l - 5043 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.3 + -38. Let j = -71\/132 - -5\/11. Let i be (-4)\/(-6)*3\/2. What is the closest to 1 in i, j, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 22 + (9 - 13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/172 and 17\/533544?\nAnswer: 533544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 - 7*p + 2. Let y = 2206 - 1022. Let q be (-4)\/38 + y\/(-304). What is the tens digit of x(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/1)\/(98\/98)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7386 = -15*u - 7566 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 3*z**2 + 155*z**3 - 8*z + 3 + 487*z**3.\nAnswer: 642*z**3 + 3*z**2 - 19*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 194\/7 + 22\/77. Suppose -5*h - f + v = 0, -4*h + 0*f + 20 = 2*f. Sort h, -2, -3, -5 in decreasing order.\nAnswer: h, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 2\/7 (b) -2\/3 (c) -3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 42*w**4 - 147*w**3.\nAnswer: -3*w**3*(w - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371*q**2 + 51 + q - 373*q**2 + 90)*(4*q - q**2 - 4*q).\nAnswer: 2*q**4 - q**3 - 141*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 3*y**2 + 315*y**3 - 155*y**3 - 162*y**3 - 2 + 26*y as i + v*y**3 + z*y + g*y**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**3 + 7*p**2 + 2*p + 4. Let t(z) = 2*z**3 - 2*z**2 - z - 1. Let q(i) = 7*t(i) + 2*x(i). Factor q(h).\nAnswer: (h + 1)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/84 - 38\/133. What is the third smallest value in 0.5, -3, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 144286817 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + 0.25. Let a = f + 0.08. Let n = -5\/4 + 29\/20. What is the second biggest value in -1, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 0, -5*c + 14 = 2*i - 4*c. Let j = 7 - i. Solve 2*f = 4*q + 10, -6*f + j*f + q = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 61, 56, 49, 40, 29?\n\"Answer: -z**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 2*y + y**2 + y**2 + 2. Let i(h) = 17. Let m(c) = 118. Let l(x) = -7*i(x) + m(x). Let r(n) = -3*l(n) - v(n). Factor r(f).\nAnswer: (f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 2. Suppose 3*c = 2*c. Let y be i(c). Suppose -b + 0*b**3 - b**5 - b + 6*b**3 - 3*b**3 + b**y - b**4 = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6914 - -6919. Which is the third smallest value? (a) 0.3 (b) q (c) -3.7 (d) -1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1701) - sqrt(1701) - sqrt(1701)) + sqrt(1701) + sqrt(1701) - sqrt(1701))\/sqrt(3) + 3 - (1 + (sqrt(847)*-1 - sqrt(7)))**2*4.\nAnswer: -4033 + 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 62792051 and 62792052 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38505068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1426\/341 + -1 + -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -6*b + 0 - 23\/3*b**3 - b**2. Let y be r(-1). What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 33*y**2 + 36*y + 62. What is t(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2674 + 2679. Suppose -5\/2*x**2 - 5\/2*x**4 + t*x**3 + 0 + 0*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 24 - 13\/((-650)\/(-850))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3*o - 4*o)*(-1 + 1 + 2*o)*(-3 + 0 + 0).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-108)\/(-324))\/((-5)\/6). What is the closest to -2 in 3\/25, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.6233388 rounded to 1 decimal place?\nAnswer: -90.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/9 + -3)*(54 - 3). Determine l, given that 26*l - 5*l**4 + 10*l**3 - u*l + 5 - 19*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130356 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + -0.367. Round y to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210760 is divided by 242.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 39.\nAnswer: -5, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g - 2*g. Let n = -4 - -1. Let b = -3 - -3.5. What is the third biggest value in g, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2*r - 1. Let y(b) = -96*b**2 + 174*b + 36. Let s(p) = -36*g(p) - y(p). What is the second derivative of s(x) wrt x?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = 108. Let o = v + -23. Let i be 0\/(-3) + 6 - o. Solve p = i*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816933 + 18.\nAnswer: -816915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 1. Let s be 2*((-2)\/9 + 245\/90). Let l(j) = -3*j - 3. Let g(x) = 3*x + 2. Let m(w) = 4*g(w) + 3*l(w). What is s*q(u) - 4*m(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thtt when four letters picked without replacement from {t: 3, h: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 6162288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968, 4564, 8166, 11774?\nAnswer: 15388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w + 5. Let t(o) = 119*o - 49. Let l(a) = -5*t(a) - 49*y(a). Let k(i) = 2*i**2. What is k(l(x))?\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, 129, -4 in ascending order.\nAnswer: -4, 5, 13, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let u = -8\/237 - -14489\/948. Let y = 15 - u. Which is the nearest to y? (a) o (b) 2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 22 - (9 + -1)) + -4 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 13*k + 11*k = -80, -3*c + 13 = 5*k - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1\/5)))\/(f**(-4)*f))\/(f\/f**6*f*f*f\/(f*f\/(f\/f**(-1\/3))*f)*f)*f**(-3\/4)\/(f*f*f**4\/f)*f*f*f*f\/f**(-2\/7)*f**3 assuming f is positive.\nAnswer: f**(2941\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(90)\/sqrt(10) + sqrt(9) + sqrt(9)))\/((sqrt(77) + sqrt(77)*2)\/sqrt(7) + sqrt(11)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 6*y - 4. Let b be d(6). Let j(x) = x**2 + 7*x + 14. Let q be j(-5). Sort 1, b, q.\nAnswer: b, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3011*i + 96370. Determine r(-32).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) 3 (c) -140 (d) 1 (e) -2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*z**4 + 2*a*z**2 - 141*a + 11*z**3 wrt z?\nAnswer: -8*a*z**3 + 4*a*z + 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -575.7 in -5, 2\/13, 1\/7, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3652.03 + -3702. Let o = i + -2.03. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = 30. Let w = p + -5. Suppose b = -3*l + 19, w*l = 5*b + 9 - 4. Solve -b*f + 4*r = 24, 16 = 5*r - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:10 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -93. Let b be 4*(23 + (-2)\/c + 3). Let p = b + -113. Which is bigger: -12 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*q**3 - 2*q**2 + 788*q wrt q?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a3299 - -7?\nAnswer: -9a3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30047217.\nAnswer: 3, 10015739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a + 1\/30*a**5 + 0*a**3 + 2*a**2 + 0 + 0*a**4. Let s(f) = 366 - 366 - 2*f. Calculate v(s(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*2*(sqrt(700) - (sqrt(700) + sqrt(700) + 1)))**2 + (-5 + (4*(sqrt(84) + -2*sqrt(84)))\/(-1*sqrt(48)\/sqrt(4)))**2.\nAnswer: 2120*sqrt(7) + 101018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 2\/15 (c) -3 (d) 719.7 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 9*y**2 - 4*y - 13. Let m be o(10). Suppose -4*x = a - 37, -2*x - m = -2*a - x. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.08691 months to millennia.\nAnswer: 0.0000072425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887182?\nAnswer: 2, 443591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4678 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2507658 rounded to three decimal places?\nAnswer: -3.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2317 = -691. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15032*l + 15081*l + 5 - 1 - 4 - 1.\nAnswer: 49*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 3*a + 11, 3*o + 318*a - 313*a = 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -71. Which is the second smallest value? (a) 5\/4 (b) -2\/5 (c) u (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/232 and 14\/17?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 70*a**2 + 19*a**3 - 17 + 74*a**2 as l*a + m*a**3 + r + n*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 41*p + 33 to the form b + v*p and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 382*d**4 + 17*d + d**3 - 381*d**4 + 2 + 0*d as z + l*d**4 + b*d**3 + u*d**2 + k*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*p, 3*i - 5 = -3*p + 7. Let s = 90 + -66. Suppose s = 4*f - i*f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b + 5 = -70*b - 5*i, -4*b - 4*i = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t + 88*t + 84*t + 11895 = -55*t for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by 7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*r**6 - 4*r**6 - 157*r**5 + 14*r**2 + 157*r**5 wrt r?\nAnswer: -1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**6*w*w*w)\/w)\/w*w)\/w*w*w*w**0\/w)**7\/((w*((w\/w**0)\/w)\/w)**(5\/2)\/(w**0)**47) assuming w is positive.\nAnswer: w**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/4 + 2)*(-4)\/6. Let p be (-157)\/(-2)*(0 + t - 3). Let q = p - -334. What are the prime factors of q?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 30. Suppose 0 = 5*l - 44 - 6. Calculate the greatest common divisor of l and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -109, 2 in descending order.\nAnswer: 5, 2, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 6*m**3 - 41 - 2*m**2 + 3*m**2.\nAnswer: 11*m**3 + m**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1) + 4016\/(-251). Let o be 1\/(-2)*-138 - -3. Let j = o + d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*b + 140, 3*b - 132 = -2*f - 0*b. Suppose 2*u = 30 + f. What is the remainder when u is divided by (-1 - -2)*6*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1, 19 in decreasing order.\nAnswer: 19, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*s + 388*s - 20594 = -3584 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 122. Let n = -76 + x. Solve -n = 5*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1107 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8886 + 22980. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 + 0*t - 20*t**2 + 1\/24*t**6 + 0*t**3 + 0 + 1\/6*t**5. Factor h(s).\nAnswer: 5*s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 - 4*x - 2. Let d be l(8). Solve a = 5*p + 29, -5*a + d = -2*p - 0*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:08 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1363*m - 64. Let l be y(-5). Let x = -171941\/25 - l. What is the common denominator of 61\/50 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 72360 to the nearest 1000.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 220 = -0*m. Suppose z + z - 136 = r, 2*z - 146 = -4*r. Let w = z - m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (92\/(-10))\/(52\/(-130)). Let o(h) = 3*h**2 - 24*h - 127. Calculate the least common multiple of 10 and o(q).\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:00 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -47. Suppose -3*u + 735 = v*z, 0*u - 2*z + 735 = 3*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233277518.\nAnswer: 2, 67, 1740877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from mkmkmddzmjmhdjmkm.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(20) - (-5 + (2 + sqrt(20))**2)) + -1 + 0.\nAnswer: -12*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2095265, -2095274, -2095283, -2095292, -2095301?\n\"Answer: -9*s - 2095256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 125, -100, 3.8, 3, 0.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17101 is divided by 1067?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -912, -1836, -2760, -3684, -4608?\n\"Answer: -924*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2. Suppose 4*f + 20 = -t, 5*f + 8*t + 14 = 4*t. Let c be d(f). Suppose -a + 2*a + 410 = c. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*g + 3*l, -4*g + l + 19 = 12. Let c(r) = 2*r**2 - 2*r - 1. Let j be c(2). Solve -j = -m - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 16*h**2 + 6*h - 13. Suppose -77*t + 64 = -73*t. What are the prime factors of f(t)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**3 + 17 - 17.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3 - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 9 - 45. Let c be (0 - -2)*b\/(-8). Find the first derivative of -3*y**2 + 2*y**2 + 2 + c*y**2 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**45\/((c*c**(-2\/15))\/c*c**(-2))*(c**(-1\/3)*c)**(10\/3)\/(c**(2\/3))**(-47) assuming c is positive.\nAnswer: c**(15292\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*r + 70 - 44, 0 = -5*t + 15. Which is the nearest to -2? (a) 29 (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d**2*i**3 - 3*d**2*i**2 - 563*d**2 + 6023*i**3 - 44*i**2 wrt i?\nAnswer: -84*d**2 + 36138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10930 + 10930. Suppose -3*j + 3 = -p - 11, 2*p - 16 = -5*j. Let n be j\/(-6) + (-1)\/3. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 - 60*h + 311. Is 202 a factor of b(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Suppose -7*q = 5*b - 4*q, -4*q = -2*b. Let p(x) = 3 - x + 0 + 2*x + b. Calculate p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 + s + 2. Let k(t) = -8*t**2 + 2*t - 5. Let b(y) = -d(y) + k(y). What is b(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131191101.\nAnswer: 3, 31, 470219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -13*t**3\/6 - t**2\/2 - 2*t. Let r(x) = -9*x - 1. Let s(b) = 5*l(b) - 7*r(b). Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332009 is divided by 55011?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21\/4, -2, 0.034, 5, -0.9?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 892, 1, 2, 6.6, 2\/7?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from xxxexxxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 20. Let v(z) = 2*z**3 + 141*z**2 - 70*z + 96. What is the remainder when v(-71) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = -2*a - 4, 0 = 2*c - 5*a - 20. Let j(w) be the second derivative of -w**3\/6 + 2*w**2 - 7*w. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(7\/4))\/v*v)**(-48)\/(v*v\/(v*v*v\/(v\/(v\/v**(-3)))*v*v*v))**(-37))**(-2) assuming v is positive.\nAnswer: v**446","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 + z**2 + z + 510. Let v be p(0). Suppose -v + 560 = 5*f. What is the smallest common multiple of f and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 1. Let u be n(-1). Let i be u - 0 - 6\/(-2). Suppose 5*c - 61 - i = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*q = 423*q - 92*q - 426 + 3060 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14936035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305*h + 12 + 6 - 1321*h - 26 + 5.\nAnswer: -16*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -23 - 37. Calculate the common denominator of -43\/5 and 2\/(-8) - (-173)\/y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41134400 and 244400?\nAnswer: 534747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1100901904*f**3 + 237838296 wrt f?\nAnswer: 3302705712*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 + 7901*v**2 + 5596*v - 49628. Calculate b(-1128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 + -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2636446600 rounded to the nearest 1000000?\nAnswer: -2636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -5, 2*c + 14 = m. What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36577 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m**2 - 2*m + 2. Let t be g(1). Suppose -22*u = -t*u - 36. Find the first derivative of 5 - 10*w**2 - 14*w**2 - 1 + u*w**2 wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 5*r - 2. Let w be (2\/(-3) - (-52)\/42)\/(26\/(-91)). What is t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 18 - 12)*(0*r**2 - 3*r**2 + 4*r**2) + (-2*r - r + r)*(-2 + 6 - 1)*(-64 + 64 - 23*r) to the form s + b*r + x*r**2 and give x.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4823450, 19293781, 43410998, 77175101, 120586090, 173643965, 236348726?\nAnswer: 308700373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 579231.3 litres in millilitres?\nAnswer: 579231300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - e93090?\nAnswer: -e93095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 4*s + 11. Suppose -121*o = -126*o + 20. What is h(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by (-71939)\/(-5117) + (-2)\/34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from oyyoooonoeooooooh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 3*b + 15, w = -4*b + 6 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*f + 42 = 0, 20*c + 84 + 88 - 2 = 118*c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-27)*o)\/o)\/o*o*(o**(-4\/3)\/o*o)\/o*(o\/o**(15\/2)*o*o*o)\/(o**(-26)\/o) assuming o is positive.\nAnswer: o**(301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1\/(-1) + -9. Let t = z + 16. Let p(m) = -m - 3. Let o be p(-6). Solve -n + t = 3*y, -o*n = y - 5*n + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = -25. Suppose 5*g = -3*b - b + 25, u = -5*g + 2*b. Let o(m) = 11*m. Calculate the remainder when 21 is divided by o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 - 9404*a**3 + 617508*a**2 - 1767780*a = 0. What is a?\nAnswer: -2415, 0, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1\/2)\/m)*m**(-1\/5))\/(m*m**(3\/2)*m*m\/(m\/m**1)*m) assuming m is positive.\nAnswer: m**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -170, -514?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -508.\nAnswer: -3556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*v**4 - v**3 - 62*v**4 + 24*v**4 - 83*v**2 + 80*v**2 as h*v**3 + b*v**2 + n*v + t*v**4 + p and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -91. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -136 - (-340 - -194) - ((2 - (38 + -2)) + -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 + -0.9. Let r be 6\/15 - (-2)\/(-10). Sort 1, r, o in ascending order.\nAnswer: r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 1. Let o(z) = 22*z - 490. Calculate -o(i) + 5*r(i).\nAnswer: -2*i + 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*i + 26 = 0, -3*p - p = -2*i - 6. Suppose 0 = -2*z + p*y - 8, 5*z = y - 3*y - 44. Let s = z - -20. Which is smaller: s or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 58 + 128 - 21*u)*(-4 - 4 + 6).\nAnswer: 42*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 minus 483500?\nAnswer: -483443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5901, 5752, 5341, 4536, 3205?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 1)*(-6 + 1 + 2)*(2 + 2 - 6)*(-2 - 4 - 9)*(0*v**4 - 2*v**4 + 0*v**4).\nAnswer: 1260*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*h - 36 = 0, -2*k = 16486*h - 16491*h + 33 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58269 = g + s, 4*g - s - 175549 = 57537. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgv when three letters picked without replacement from {y: 4, v: 9, g: 3, j: 1, n: 1}?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) - (-1 + sqrt(2))) + (sqrt(2) - (sqrt(2) - sqrt(128)*-1)) + sqrt(6)\/sqrt(48) + (sqrt(2) - (-1 + sqrt(72))**2).\nAnswer: -74 + 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1236 = -1236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24871\/1122 - (-496)\/(-96)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 6*k. Let j be v(5). Let b be (-6)\/(2*(-2 - -1)). Suppose 3*p = 8*p. Solve b*g + p*g + 35 = -j*r, 12 = -3*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.027 and 244?\nAnswer: -738.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i*w**4 + 6*i*w**3 - 1254*i*w**2 + 39*i*w - 54*w**4 wrt w?\nAnswer: 192*i*w + 36*i - 1296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483808 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -49?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 not equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3258578 is divided by 217237.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 12*w - 85. Let r = 2 - 5. What is the nearest to -1 in 3, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/22*(-1)\/(-5). Let i be 0\/(3 + -5) + 4. Sort i, j, 0.1 in descending order.\nAnswer: i, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 154811, 154812, 154813, 154814, 154815?\n\"Answer: k + 154810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -172*l - 450. What is the units digit of x(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 - 3*f - 4. Let u(l) = 7*l + 26. Let g be u(-3). Give p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 1\/12*c**4 + 0*c**2 + 0 + 0*c**3 + 2*c. Let x(p) = 2*p. Calculate r(x(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8744923.\nAnswer: 11, 794993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1740133 (b) 13 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6 + 34*i**3 - 417*i - 33*i**3 + 11*i**2 + 423*i. Let m(p) = p**2 + 1. Let g(u) = -u + 4. Let k be g(3). Let z(r) = k*a(r) - 5*m(r). Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -72, -86, -96, -96, -80, -42, 24?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21381740.06 plus -87?\nAnswer: -21381827.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1632331399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11952330 and 17355?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 292 = 32*g - 860. Solve -4*i - d - 1 = 0, 2*i = d - 3*d - g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -634, -979, -1346, -1741, -2170, -2639, -3154?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5563 - 3461 = -237*f + 9472 + 19411 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:38 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 6*q**2 - 2*q + 2. Let b(d) = -2*d**3 - 6*d**2 + d - 1. Let p(z) = 2*b(z) + 3*g(z). Give p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(117))*-4 + -5) + (-5 + sqrt(832) + 6*(sqrt(832) + 0) + sqrt(832) + 4)**2.\nAnswer: -68*sqrt(13) + 53274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - v - 1. Let n(b) = b**2 - 6*b - 5. Let r(x) = 2*m(x) - n(x). What is the remainder when 15 is divided by r(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b)\/b**(-1))\/((b\/b**6)\/(b**(-1\/3)\/b)) assuming b is positive.\nAnswer: b**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = 14, -l = n + 1. Let x be 0*l\/((-16)\/4). Is 76*(x - (-46)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:52 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/26*0\/(-2) + -6. What is the nearest to y in 0.02, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162817643.\nAnswer: 3, 13, 1487, 20051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13897*v**3 + 6948*v**3 + 6948*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*p - 100, 2*p - 43 = 4*v + 7. Suppose 0 = -p*y + 10*y + 15. Let d be 0\/(-13)*1\/y. Solve -z + d - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((3\/14)\/(3453\/491477)).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 112. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 87, 107, 147, 213, 311, 447?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -37*i + 70*i - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 847 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k**3 - k**2 - 4*k + 7. Does 13 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398.8 - 398.7. Which is the second smallest value? (a) -4 (b) -2\/7 (c) t (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u + 17 + 37 + 5*u**2 + 25 - 75. Calculate q(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240245 - 21?\nAnswer: -240310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 34*r**2 - 152*r + 27. Give j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148671137 to the power of 1\/2, to the nearest integer?\nAnswer: 12193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/16806898 and 37\/16806898.\nAnswer: 16806898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 8*q = 8, -q - 9 = -i. Let r = 2.1 + -2.6. What is the third biggest value in r, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39887.413 + -39762. Let x = 118.66 - l. Let i = x + -0.047. Round i to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5520*i - 434*i + 1271*i - 1470*i - 3999*i to y*i + d and give y.\nAnswer: -10152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3 + 3*k**2 + k - 47. What is the units digit of r(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189035*c**2 + 188979*c**2 - 1 + 0 + 1 - 5*c.\nAnswer: -56*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851869 + 16*v**2 - 9*v**2 + 851869 + 3*v**3.\nAnswer: 3*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 4, m: 12}. Give prob of picking 1 m and 2 g.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v + 5. Let s be c(0). Solve n + 0 = s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-308)\/(-21)) - -2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j**2 + 3456*j - 59917. Calculate a(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/4 - 25*a**3\/2 - 259*a**2\/4 - 98*a.\nAnswer: -a*(a + 7)**2*(3*a + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4\/7 (b) 1\/7 (c) 0.1 (d) 2\/9 (e) -6 (f) 13 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 23*p + 51. Calculate f(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/((-5)\/(20\/(-3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 26*a - 1347*a**2 + 3*a + 347*a**2.\nAnswer: -1000*a**2 + 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(3\/5)\/(b**(-1\/21)*(b\/(b\/b**(-5)))\/b) assuming b is positive.\nAnswer: b**(446\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 833783356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*s - 310 = -784, -5*s - 2330 = -5*o. Let l = o - 778. Is -2*l\/4*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80853183877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1644.2 (b) -3\/2 (c) -1\/4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 195, 225, 295, 417, 603, 865?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258804*i**3 + 1662*i**2 - 100 wrt i.\nAnswer: 1552824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. Which is the nearest to -0.1? (a) -1 (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 527*s**2\/2 - 1185*s\/2 + 675 = 0.\nAnswer: -3, 5\/6, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 53*r**2 - 44*r - 6. What are the prime factors of g(-29)?\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Suppose -3*y = -16*y + 39. Suppose 0 = -8*m - 28 - 36. Let g(c) = c - 1. Let j(x) = 2*x - 4. What is m*g(u) + y*j(u)?\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 17\/5 (b) -3 (c) -0.01 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(-6*(-5)\/(-315))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(252) + 1 - sqrt(252)*2*4 - (-3*(2 + (sqrt(252) - (sqrt(252) + (sqrt(252) - (sqrt(252) + 2 + -2)) - sqrt(252)))))**2.\nAnswer: -2307 - 258*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + -3 + (8 - 11). Solve 0 = 5*g + 2*k - 3*k + 9, c*g + 13 = -5*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 51*q - 22. Let t(j) = 3*j - 35. Let k be t(3). Let r be x(k). Solve 15 = -r*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -75*n**2 + 135*n - 1492. Let k(v) = -21*v**2 + 45*v - 497. Let p(l) = 7*k(l) - 2*y(l). Find the first derivative of p(x) wrt x.\nAnswer: 6*x + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (6 - 4 - -138). Calculate the greatest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 10*b**2 + 5*b + 1. Let x be t(10). Let n be (x\/(-68))\/(18\/(-4)). Suppose 0 = 10*a - 5*a. Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -24773 - 8337. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*w + 1 + 9, 2 = -2*z - 2*w. Let u = 0 + z. Solve -5*i - 4*j + 3 - u = 0, 3*i - 4*j + 25 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1 - (-240)\/(-144). Let w(v) = v**2 + 9*v - 6. Let k be w(-10). What is the third biggest value in -1\/2, k, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 1. Let m(o) = -3*o**2. Calculate 4*a(l) + 9*m(l).\nAnswer: -3*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 - 6*b**2 + 3*b**2 - 4*b**2 + 10*b**2 + 540*b to the form r*b + m + u*b**2 and give r.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1529*z - 406159 = -1542*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5, r + 33 = -2*r - 3*t. Let w = r + 21. What are the prime factors of (5\/w)\/((-1)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 30*x**2 + 54*x - 103. Give s(-28).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1245 and 15936.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/12)\/3*(-12)\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b - 5. Let n be y(4). Suppose 5*f = 4*t + 17 + n, 2*f - 44 = 4*t. Does -10 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**2 + 14*w**2 + 12*w**2 + 12*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/584281867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k + 133 = 29*k. Suppose -2*p + 1 = 9. Let i = 8 + p. What is the remainder when k is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-1 - -32))*(-9)\/(-27). Let z be 2\/(-4)*l\/(33\/72). Which is smaller: -25\/2 or z?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(1053) + (-4 + sqrt(1053))*-5)**2 - sqrt(1053) - sqrt(1053)) + sqrt(1053) + (sqrt(1053) - 3*sqrt(1053)*-4)).\nAnswer: -1332*sqrt(13) + 17248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = n - 11, -5*n + c + 21 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let c(t) = -53030*t. Determine c(n(h)).\nAnswer: -53030*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*v = -66 - 112 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 34*x + 2543 + 6*x - 1270 - 1273.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -217.0000097. What is l rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**3 + 17*d**3 + d**3 + (-5*d - 2*d**2 + 5*d)*(4*d - 3*d - 3*d) + 3*d**2 + d**2 + 3*d**3 - d**2.\nAnswer: 37*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -592, -792, -992, -1192, -1392?\n\"Answer: -200*j - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -14*q + 88. Suppose w = -4*d + 67, -4*w - q = -3*d + 15. What is the remainder when 28 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1929?\nAnswer: -1929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**3 - 3798*n**2 + 8582*n - 1908.\nAnswer: -2*(n - 2)*(n + 477)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 10*i - b + 96 - 195, 2*i - 2*b - 32 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1007729.\nAnswer: -5\/1007729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-23)*j)\/(((j*j\/(j**(6\/19)*j))\/j*j*j)\/j) assuming j is positive.\nAnswer: j**(-431\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -60, -3\/5, 3, -1\/5 in descending order.\nAnswer: 3, 2\/13, -1\/5, -3\/5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let u = 4 - 1. Let g = 1 + u. Put v, 0.1, g in descending order.\nAnswer: g, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 2*s**2 + s**2)*(2069 + 70*s - 2069)*(-3 + 4 - 3).\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -6*p + 3*p + 1, 40 = -5*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 - 2*u**4 + 5023*u**2 - 175311*u.\nAnswer: -40*u**3 - 24*u**2 + 10046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + 50443433?\nAnswer: 50443541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {d: 1, c: 2, o: 1, a: 1, n: 1, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60325889 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(18\/(-45))*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 10 = u - a, 0 = 4*u + 3*a + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + (-8)\/(-3). Solve -3*w**3 - w**2 - 3*w**2 + 3*w**a + 2*w**4 + 2*w**4 = 0 for w.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 + 11*s**2 - 50*s**2 - 93*s**2 - 70*s**2.\nAnswer: -221*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -430*a - 2. Let t(y) = 5*y. Give b(i) + 5*t(i).\nAnswer: -405*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97615030 rounded to the nearest 100000?\nAnswer: 97600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/7)\/12*-6*(-252)\/54?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27666 - 27670. Put -1, 5, 0, -154, t in decreasing order.\nAnswer: 5, 0, -1, t, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 42*g + 4735. What is the remainder when 164 is divided by y(-111)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 4, k: 1, n: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oox. What is prob of sequence ox?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15776, 126156, 425762, 1009208, 1971108, 3406076, 5408726, 8073672?\n\"Answer: 15769*b**3 - b**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*n + 432 + 238 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s + 1. Let g(z) = z**2 + 5*z - 10. Let b be g(-7). Let x(w) = 0*w - 3*w + 2*w**2 + 0*w + b + 0*w. Give -6*c(h) + 2*x(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59048.44cm?\nAnswer: 590.4844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -706027857120 - 3?\nAnswer: -706027857123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/3, -746, 1\/2, 4, 2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15033 + -11?\nAnswer: 15022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4495889 or 4495888?\nAnswer: 4495888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4074 - 2435. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2. Suppose 26 = -5*m - 19. Let i be t(m). Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 29*f**2 + 56*f - 57. Determine h(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -18. Suppose -2*f = 3*n - u*n - 21, n = f + 2. Suppose 0 = 5*b - 5*j - 100, f*j - 9 = -0*j. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5353\/(-3))\/((-8)\/(-3)). Suppose 1911 = -7*a - 2095 - 698. Let p = m - a. Calculate the common denominator of p and -75\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.876, 2\/3, -1\/4 in decreasing order.\nAnswer: 2\/3, -1\/4, -8.876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 86, -1, 5569?\nAnswer: 5569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617846968?\nAnswer: 2, 77230871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 253. Let k be x(26). Let t be (2 - -103)*(k - (-64)\/(-10)). Calculate the highest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 165053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2871)\/15312 - (-747)\/(-624).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.043 - -0.057. Let h = 1.986 + x. What is the nearest to h in -2\/15, -0.4, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1272 + -1269. What is the third smallest value in 2\/241, 3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*b - 132, 2*z - 57 = -3*b + 11. Let y = -24 + z. Suppose 0*g = y*g - 368. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59\/9 - 383\/63. Find the common denominator of j and -53\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 2 (b) -19 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 22. What are the prime factors of h(11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 14 - 34. Let c be 1 - (-1 + d) - (-59 - 12). Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*h = -149, -2*h + 266 - 86 = r - 0*r - 5*r for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 31*n**4\/3 - 5*n**3\/3 + n**2 + n + 28. Find the second derivative of m(c) wrt c.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*n**3 - 1289*n**3 + 107*n**3 - 297*n**3.\nAnswer: -1294*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1179806737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162\/(-567) - 12268\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Let w be 2\/n*(3 - 5). Let o be w\/(-2) + 280001\/2. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:36 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269967768*l + 119451408 wrt l.\nAnswer: 269967768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose l = 2*g + 3*s - 14, -g - 3*g - 4*s = -24. Suppose g*n = n + 30. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5299781266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -28. Let t be (c\/2)\/((14\/24)\/(-7)). Solve 0 = -t*a + 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 7. Let p be r(-3). Let g(x) = -6*x**3 - x**2 + x. What is g(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/180*-16*4\/32. Let t = -5 + 8. Which is the second smallest value? (a) -1\/10 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -84*r + 3. Let t be d(-3). Find the common denominator of (-3438)\/(-504) + 20\/14 + -1 and (-1*2)\/((-108)\/t).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z + z + 3*z + (4 - 2 - 3)*(-525 + 723*z + 525).\nAnswer: -711*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/6 - 112\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.493 - -2.493. Suppose -3*v + 14 = 2*r, 4*r + 2*v + 0*v = 12. Which is the third biggest value? (a) 2 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Let y = 3.5 - -12.5. Let z = y - 11. Which is the second smallest value? (a) z (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-3) - 33990\/3708?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 - 262. Is -23 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 + 22?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/12)\/((-1)\/(-2)). Which is the second biggest value? (a) 3 (b) w (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -14*w - 1083. Let p = w - -361. Is p bigger than -2\/1009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(1 + -1). Suppose v + 2*x = -x - 18, 0 = -3*v + 2*x - 10. Let f be 62\/(-14) - (-9)\/21 - v. Solve 26 = -2*w - q*r + 4*r, -2*w - 16 = -f*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022 (base 3) in base 15?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 481*w + 230401. Give l(-479).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/24 (b) -95 (c) 2\/9 (d) 0.4 (e) -0.048 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from {k: 7, f: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 221, 440, 731, 1088?\n\"Answer: -p**3 + 45*p**2 + 13*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 11*n**3\/6 + 27*n**2 - 11*n. Let p be d(-5). Does 32 divide p\/2 + 3060\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0047 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t - 142090 = 29*t - 49*t. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 12*n**2 - 10*n + 40. Let u be i(-13). Suppose -j - u = -5*g - 29, -3 = 3*g. Sort 5, j, -2\/7, -3 in increasing order.\nAnswer: -3, -2\/7, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.742451 days to microseconds.\nAnswer: 841747766400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -407*h - 44. Let r(g) = -27*g - 3. Let v(f) = -44*r(f) + 3*t(f). Let u(c) = -2*c**2. Give u(v(o)).\nAnswer: -2178*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4366 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/5 (b) -29 (c) 0.4 (d) 1\/88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3 - -5)*15\/(-6). Suppose 68 + 12 = o*w. Let p be 126001\/2 - 8\/w. Round p to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-41)\/(-492).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. What is the nearest to p in -4, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-428)\/54 - (0 - 9))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2. Let t be q(-5). Let b = 18 - t. Suppose 0 = 3*f + 2*f - b. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**2 + 11*h - 4 - 4 + 5*h**3 - h**3 - 3*h**3. Let o be j(10). Let b be 189\/84 - (-3)\/((-3)\/o). Put 0.4, b, 1\/2 in descending order.\nAnswer: 1\/2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 - -231. Suppose -3*k - d + 26 = -0*k, d - r = -k. Let a = 0 + 4. Calculate the remainder when k is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5\/5 - 604*v**4\/5 - 21868*v**3\/5 + 71148*v**2\/5.\nAnswer: -4*v**2*(v - 3)*(v + 77)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3929673505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/14*(-28)\/8. Let u(y) = -5*y + y + 4 - 2*y**2 + v*y**2 - y**2. Suppose -5*q - 6 = -l, l - 5*q + q = 4. What is u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/290, 0.1, -2, 2\/11?\nAnswer: 1\/290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 519 and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1087 less than -1087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**4)))\/c**(-1\/7))**(-1)*(c**1)**(-20)*c**(-2\/5)\/c**(-2\/7) assuming c is positive.\nAnswer: c**(-884\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28415, 56835, 85257, 113681, 142107?\n\"Answer: t**2 + 28417*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 + (-24)\/30)\/4)\/(8\/(-60)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 57*t - 215. Give q(46).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2423?\nAnswer: 7269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8691857 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 second biggest value in 5, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442600 = 5*h - 5*d, -5*h = 5*d + 264399 - 706929. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -693, -717, -525, -117?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*(3892 + -44)\/(-104).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 3*t**6\/2 + 4*t**5 - 5*t**4\/3 - 155*t. Factor f(a).\nAnswer: 5*a**2*(a + 2)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 69, 189, 409, 759, 1269, 1969?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*-4 + (-3*-1*sqrt(133) - sqrt(133)))\/(sqrt(3087) + (sqrt(3087) + (sqrt(3087) - sqrt(3087)*-1)*5 - sqrt(3087))).\nAnswer: 10*sqrt(19)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*y + 26, -4*y - 12 = -2*q - 22. Which is the closest to 13\/3? (a) -2 (b) 2 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2 + 2. Determine v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 9*c**2 + c - 7. Let d be i(9). Let f be 3\/6*52\/d. What is the third derivative of 0*l**5 + 6*l**5 + f*l**2 - 6*l**2 + 2*l**5 wrt l?\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 105 = -5*d - 3*p, -2*d = 3*p - 43. Suppose -w + d = 3*w. Solve 15 = -0*f + w*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10148 - 30443\/3. What is the second biggest value in 0.1, r, -3.58?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 19 = 5. Find the second derivative of -n*b**4 - 3*b + b**4 - 5*b + 23*b**4 wrt b.\nAnswer: 204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -256, -1357, -3264, -5995, -9568?\n\"Answer: -3*x**3 - 385*x**2 + 75*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1274937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -7. Let l be (-35)\/x*(3 - 2). Find the third derivative of l*j**2 - 3*j - 2*j + 7*j**6 + 5*j wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (3 + 1 - 6). Solve -2*f - 3*b = 14, -b = x*f + 8 + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 132?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -2. Let k = 0.53 - -22.47. Let n = k + -26. Which is the closest to n? (a) -2\/9 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -502*h + 3 - 24*h**2 - 4*h**3 + 5*h**3 + 1006*h + 29*h**2 - 506*h + 37*h**4 to a*h + d*h**3 + x*h**2 + l*h**4 + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.01, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69987960 to the nearest integer?\nAnswer: 8366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/4)\/(-1)*1. Suppose 11 = 4*o + y, s = 5*o + 2*y + 1 - 17. Suppose 0 = -2*x + 5*u - 2, 0 = 2*x - 3*u - o. Solve -x*j - 10 = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -20. Let g = -8 - o. Suppose -3 = -g*m + 5, 4*s = -3*m + 20. Solve r - 1 = s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 47. Which is smaller: d or -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(704) - (0 + sqrt(704))*4) + -2)*-4)**2.\nAnswer: 6144*sqrt(11) + 405760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3292050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/71)*z*z)\/z*z\/(z**(5\/6)*z*z) assuming z is positive.\nAnswer: z**(-343\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42402 (base 6) in base 2?\nAnswer: 1011010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 27*j**2 - 29*j - 69. Let i(n) = -n**3 + 13*n**2 + 7*n + 70. Let b be i(14). Let r be d(b). Is -43 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.2 - 6. Let h = k + 3.8. Let f = -0.1 + 1.1. Which is the closest to f? (a) 2 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -923, -970, -1021, -1076, -1135, -1198?\n\"Answer: -2*r**2 - 41*r - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let d(t) = 6640174*t. What is f(d(c))?\nAnswer: 6640174*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 2*u - 8, -549*p + 48 = -552*p + 9*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107646643.\nAnswer: 13, 8280511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 72. Let z be 3\/(m\/10 + (-9)\/(-10)). Is (z*4)\/(4 - 6) + 170 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12441 = 1130*w - 1043*w. Calculate the remainder when 346 is divided by w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**8\/3360 - z**7\/1260 - z**4\/6 + 2*z**2. Let d(n) be the second derivative of s(n). Factor d(a).\nAnswer: -2*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(-3*-6*(sqrt(152) + (sqrt(152) + sqrt(152)*-1 - sqrt(152))))\/(sqrt(648) - ((sqrt(648) - 2*sqrt(648)) + sqrt(648))*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-21) - (-19)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 43 = -3*d - 1, 213 = 4*u + 3*d. Let l = -3797 - -3842. Suppose 0 = 2*n - u - l. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 671832 and 671832.\nAnswer: 671832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 - 12 - (1 + -1) - 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c - 31. What is the remainder when i(-7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7219626 months?\nAnswer: 0.0006016355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 + k - 5. Let h be a(-4). Let y = -98 + h. Is (-1 + y + -3)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 53, 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 3\/((-6)\/356). Suppose -50*t - 113*t = 15322. Let n = r + t. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65.54957923 and -0.003.\nAnswer: -65.55257923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**3 + 13*g**2 + 13*g - 17. Let q = 31 - 44. Let x(h) = 2*h**3 + 6*h**2 + 6*h - 8. Let z(k) = q*x(k) + 6*w(k). Differentiate z(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*s + 1359*s - 79*s = 7095 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0.1, -6\/11.\nAnswer: -55, -6\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 21*b**2 + 21*b - 4. Let y be n(-20). Let w be ((-5)\/(-15))\/(2\/y). Is ((-81)\/2)\/(w\/24) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 9127, 30748, 72811, 142120, 245479, 389692?\nAnswer: 581563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Let u(r) = 9*r + 1. Does 7 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2440*l*t**2 + 871*l*t*u + 2*l*t - 31*t**2*u - 11 wrt u?\nAnswer: 871*l*t - 31*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43569*z**6 - 3*z**2 + 8040?\nAnswer: -5228280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*s + 133, -76*s - 215 = -81*s - 2*u. Solve 20*j = -s + 81 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 4, d: 2, s: 3, q: 1}. What is prob of picking 1 g, 1 s, and 1 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9450\/74169 - 48\/492?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3 + 12*a**2 - 35*a**6 - 2*a**3 - 6*a**3 wrt a?\nAnswer: -4200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222*t**2*u**2 - 2*t*u**2 + 10*u**2 wrt t?\nAnswer: -444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/35 and -28\/975.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54385641 a multiple of 4516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -159, -150, -139?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-12))**(1\/4))**(2\/29) assuming j is positive.\nAnswer: j**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260779 + 1?\nAnswer: -1260778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3 + 2 + 945*p + 48*p**2 - 947*p. Suppose -9 = -3*b - 27. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, -203, -638, -1247, -2030?\n\"Answer: -87*b**2 + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 108*u**2 - 928*u - 2241. Determine k(-44).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(833)*-6)**2 - (-3*(5 + sqrt(833) + -1 + sqrt(833)))**2) + -1.\nAnswer: -1008*sqrt(17) + 1049435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 5, -0.15, 0.4, -1\/5 in decreasing order.\nAnswer: 6, 5, 3, 0.4, -0.15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.7603 centuries to months.\nAnswer: 29712.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 - 3*o**3 - o**3 + (2*o - 2*o + 5*o)*(-10*o - 9*o**2 + 10*o) - 4*o**3 + 3*o**3 + 0*o**3 + (-2*o - o + 0*o)*(15 + 5*o**2 - 15).\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21709\/4452 + 15\/371. Let j = w + -2\/3. Let u(c) = -2*c**2 - 19*c + 64. Let d be u(-12). Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -180, -427, -766, -1191, -1696?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 412.84, 2\/13, -0.5, 3\/4, 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 2153.4297?\nAnswer: 1938.08673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37572, -37550, -37528, -37506, -37484, -37462?\nAnswer: -37440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5266593 is divided by 3098.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 35*x + 148. Determine b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*k = 7 - 25, -14 = 3*u - 5*k. Suppose 4*a - u*y = 10, 0 = 2*a + a + 2*y - 25. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 15*t. Let x be a(15). Let r be (0 - -1) + 4 + x. Suppose r*u - 3*u - 5 = -i, 0 = -5*u - 2*i + 14. Let p(y) = -y**2 + 5*y - 1. Calculate p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2134 (base 13) to base 7\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2865 - 25843\/9. What is the common denominator of 11\/15 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 0.11. Let g = -1.03 + 0.1. Let t = -0.07 + g. What is the closest to -1\/4 in -3, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.07, 5, 4, 376, 1\/6, 3 in ascending order.\nAnswer: 1\/6, 3, 4, 5, 7.07, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*o - 277, -3*b + 4 = -2*b. Suppose -5*f + 4*j = -71, 0 = -3*j + 8*j + 20. What is the greatest common divisor of o and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1262*g**2. Let h(b) be the third derivative of b**5\/60 - 839*b**2. Calculate h(n(a)).\nAnswer: 1592644*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -173*d**2 + 2*d - 3. Let a(y) = 178*y**2 - 2*y + 2. Calculate 3*a(s) + 2*r(s).\nAnswer: 188*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 82*r - 9. Give h(2).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-2 - (-2 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 2264*y + 434 = -2250*y, 4*t - 3*y + 103 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 5, u: 2, y: 2}. What is prob of sequence fu?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 44*f.\nAnswer: -4*f*(f - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose b - l*y = -b + 88, -2*b = -5*y - 73. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48157 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -118. Let x be w\/85 - 4\/10. Factor -2\/5*c**3 + 0 + 0*c + x*c**2.\nAnswer: -2*c**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -351*d - 7910. Let w be p(-23). Which is greater: 134 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -123*x - 98. Determine a(-3).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 360\/(-288)*(2 + (-456)\/225). Let b(i) be the third derivative of 0*i + 2\/5*i**5 - 21*i**2 + 2*i**4 + s*i**6 + 0 + 16\/3*i**3. Let b(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8037)\/(-54))\/47 + 10\/(-60))*4\/126.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/5 + 8*h**3\/5 - 19*h**2\/5 + 12*h\/5 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58272 divided by -9712.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 388 = 72*u - 1754. Let i = -59 - -102. Calculate the remainder when i is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**2 - 137*m**2 - 139*m**2 + 0*m**3 - 2*m**3 - 76*m**2.\nAnswer: -2*m**3 - 435*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6))**37)**(-9) assuming r is positive.\nAnswer: r**1665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let b(u) = 9*u + 7. Let l be 2*(36\/(-8) - -2). Let c(m) = -m - 1. Let g(o) = l*b(o) - 35*c(o). Give p(g(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**3 - 1. Determine u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.5302 + 302.4388. Let d = l + -341. Round d to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1252801 divided by -9.\nAnswer: 1252801\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-248)\/60) + -3. Which is the closest to 8? (a) -5 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.141546 to 2 dps.\nAnswer: -26.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-192)\/1600)\/(-1*3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*((2 + sqrt(243) + 1 - sqrt(243))**2 + sqrt(243)) + 2 + 1*sqrt(243) + sqrt(243) + -4).\nAnswer: -22 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66512 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 21 + 0 + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 - 5*v - 14. Let b be f(7). Suppose b = -4*k - 601 + 3521. Round k to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89437.83cm to kilometers.\nAnswer: 0.8943783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1266 + 12721\/10. Let u = -1284\/17 - -112091\/1496. What is the common denominator of o and u?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150979.1252 - -150966.12519958. Let u = -13.17 + 0.17. Let t = d - u. What is t rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 8 + 76 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by -2.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/3094 and 95\/1326.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5975\/7956 - 2\/1989. Let f(d) be the first derivative of -l*d**4 + 3\/2*d**2 - 2*d**3 + 3\/10*d**5 + 9\/2*d + 24. Factor f(p).\nAnswer: 3*(p - 3)*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*h + 318*h - 100 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, r: 5, v: 6, s: 2, p: 1}. What is prob of picking 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i - 4*i)*(4*i**2 - 5*i**2 + 0*i**2 + (i + 3*i - 2*i)*(-4*i + 4*i + i) + 5497*i**2 + 5242*i**2 + 4268*i**2).\nAnswer: 15008*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*z + 92, 0*z = -o + z + 52. Suppose 40*f - o*f + 104090 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1204*u - 57651. What is g(-47)?\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*n - 106*n - 2332 = 0. Calculate the highest common factor of 106 and n.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*s**2 + 37*s**2 + 49*s**2 + 42*s**2 - 10*s + 53*s**2 + 10*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*j - 3454 - 3566, 4*k + 2*j = 5640. What is the greatest common divisor of 896 and k?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.7 + 5.6. Round s to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from pokkkoqppokppp.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*w = -1, 90*q + w + 4 = 93*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -49967564.83 to the nearest ten thousand.\nAnswer: -49970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/((o\/o**(-3\/2))\/o*o))\/o)\/(o*o**(-2\/17)))\/((o\/(o*(o\/(o\/(o**(-13)\/o)))\/o))\/(o**(-12)*o)))**(-36) assuming o is positive.\nAnswer: o**(17982\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 24*l + 45. Let i(k) = 12*k**2 + 93*k - 180. Let c(g) = 5*i(g) + 21*j(g). What is the first derivative of c(o) wrt o?\nAnswer: -6*o - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 55*n = -60*n - 14429, 5*j - 24007 = -2*n. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12501614, 50006469, 112514562, 200025893, 312540462, 450058269, 612579314?\nAnswer: 800103597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 21725*q**2 - 23587915*q - 23609645 = 0. Calculate q.\nAnswer: -1, 2173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1084 + -996. What is the nearest to 1 in g, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 + (6 - 1) + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let z(f) = -3552*f. Let y(t) = 245*t. Let g(m) = -72*y(m) - 5*z(m). Determine g(d(v)).\nAnswer: 240*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwbwbbb. What is prob of sequence bwww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1657*c - 10. Let o be r(-8). Let f = o + -185527\/14. What is the common denominator of -79\/22 and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jpjpsjjssj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 302424 and 5552.\nAnswer: 209882256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:15 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24360.941743 + 24361. Round z to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:42 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/(3 + 138\/(-45)). Suppose 6 = 4*s - 3*s. Calculate the greatest common divisor of s and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*l**3*u - 29*b**3*l*u**2 - 9823*b**2*l**3*u**2 + 15*b*l**2*u**2 - 1 wrt l.\nAnswer: 12*b**3*u - 58938*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Is t\/(-4) + 29094\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(646 - 23 + 2) - 2*z - 2*z + 2*z.\nAnswer: 1248*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n**2 + 0*n + 47*n**2 - 7 + 0*n.\nAnswer: -n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*k + 5*k - 17, 5*j + k + 5 = 0. Is (-1)\/j + (-1 - 135\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3469154.\nAnswer: 2, 13, 29, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -1713.1\nAnswer: -20557.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1972 + 3454. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6924 (base 15) to base 9\nAnswer: 33537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 - 6. Let l = -0.2 + -0.2. Let q = 3 - 8. What is the biggest value in z, l, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2755.5 - 2756. Put 1, -1\/7, 38, s, 0.3 in descending order.\nAnswer: 38, 1, 0.3, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*v**6 - 4*v**2 + 47*v**6 - 57*v**6 wrt v.\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -80 (b) -5.5 (c) -2\/3 (d) 0.3 (e) -2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 50 = 3*c. Suppose 744 = q + 3*q. Let o(l) = 186*l - q*l - c*l**2. Let v(s) = -s**2. Determine o(v(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*p + 5 - 5)*(53*p - 42*p + 3*p**2 - 2*p**2) in the form q*p**2 + i*p**3 + o*p + t and give q.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5052 (base 8) in base 6?\nAnswer: -20014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17438 is divided by 8191.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22. Let o(x) = 3*x**2 + 49*x + 11. Give -c(u) + o(u).\nAnswer: 3*u**2 + 49*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 10059.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -9, -3, 17 in ascending order.\nAnswer: -38, -9, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -n + 725481, 2*n - 3*i - 1450997 = -2*i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2254 is divided by 793?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 46 = -3*g. Let v = g + 17. Suppose -4*k - 107 = -2*n - 3, 4*n - v*k = 208. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59176142.1 to the nearest one hundred thousand.\nAnswer: 59200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x - 14*x + 30*x - 6*x**2 - 17*x.\nAnswer: -6*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -7, -5 in ascending order.\nAnswer: -7, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6066315*l**2*m - 47*l*m**3 + 497463901*m**3 + 2*m**2 wrt l?\nAnswer: -12132630*l*m - 47*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 - 202*p - 72124 = 0 for p.\nAnswer: -146, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 8*z + 21056 = -8*z. Calculate the remainder when z is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-77 + (93 - 22))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(234\/72).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/12*4\/6. Suppose 2*b - 7 + 4 = -t*d, d + 27 = 4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5621 - -5620.6. What is the nearest to 50 in 7, p, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994739874 a multiple of 2382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s**(2\/7)*s)\/s))\/s)\/s)**(-5\/8))**(-13) assuming s is positive.\nAnswer: s**(-585\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3713 - 0.0594. Round z to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.71374285*-0.3.\nAnswer: 0.514122855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6010?\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, l: 7}. What is prob of picking 4 d?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -11 (b) -2\/13 (c) 0.5 (d) 3558\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 82*f**2 - 278*f - 2006. What is x(-85)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 60941016.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 + 4.8. Put a, 3, -3, -4 in descending order.\nAnswer: 3, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 + 212683*n\/5 + 1169696\/5 = 0.\nAnswer: -106336, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -328765, -657474, -986183?\n\"Answer: -328709*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/7))\/s)\/s)\/s*s**(8\/11)*s assuming s is positive.\nAnswer: s**(-43\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313\/6 or -1?\nAnswer: -313\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.3. Let u = -422 - -349. Let i = 74 + u. Which is the fourth smallest value? (a) 0.01 (b) i (c) x (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, o: 3, l: 5}. Give prob of sequence lll.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1149, -2146, -3143?\n\"Answer: -997*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3953 + -3952.6. What is the fourth smallest value in 4, u, -2\/7, 0.1, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144131611 divided by -13\nAnswer: -11087047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 338618194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (7 - 1) + 11 + (16 - 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 53 + 50. Solve q*b = 3*m - b + 4, -2*m = 3*b + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4697457 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppb when four letters picked without replacement from bbbpbpbbpbbypbpppbb.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**3 + v**2 - 1. Let b be n(1). Suppose 3*g = 7*g. Suppose -2*w - w + b = g. Solve r = 5*r + 2*k - 14, w*k = 5*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -20*m - 64. Determine k(3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217494 and 1405.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1004.274 + 1005. Round g to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 0*t + 5*t)*(-t**3 + 3*t**3 + 4*t**3) - 2*t**4 + 2*t**4 - 2*t**4 - 2*t**4 + 4*t**4 + 2*t**4 to x*t**4 + i + r*t**2 + k*t**3 + l*t and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2461*c**4 + 1322 wrt c.\nAnswer: 9844*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1*d\/d**4*(d\/d**(1\/8))\/d**(1\/4)*(d**(-1\/2)*d)**(-16\/7)*(d*d*d**(2\/5))\/(d*d*d\/d**(-3)*d) assuming d is positive.\nAnswer: d**(-1993\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1763*q**2 + 2*q - 6. Let o(j) = -107543*j**2 - 123*j + 369. Determine -123*b(m) - 2*o(m).\nAnswer: -1763*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(2700\/(-80))\/(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279.44 - -279. Let c = -0.26 + r. Do -10 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 435 and 252?\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 60?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*j + c, 3*j - 3*c = 6*j - 48. Calculate the highest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paa when three letters picked without replacement from aappappaaaa.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -20, -21, -12, 13, 60, 135, 244?\n\"Answer: t**3 - 4*t**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1\/((-4)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 921817 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 9. Let m be p(-9). Suppose 0 = -m*v + v. Suppose -u - 3*u + 12 = v. Put u, 0, -5 in descending order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -90*j - 18740. Let o(p) = 32*p + 6243. Calculate -5*b(g) - 14*o(g).\nAnswer: 2*g + 6298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1245 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - 6*c**5 + 3*c**5 + (3*c**2 - 2*c**4 - 3*c**2)*(0*c - 4*c + 5*c) + 5*c**3 - 5*c**3 - 3*c**5.\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 62 - f - 20 - 17 - 721*f**2.\nAnswer: -721*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/7, 39, 4, 1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h. Let b(f) = 3*f**2 + 3*f + 3. What is -b(o) + 2*d(o)?\nAnswer: -o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8123 - 10327925488.\nAnswer: -10327917365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -872050000 rounded to the nearest one million?\nAnswer: -872000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 1246*w**2 + 2499*w - 3744.\nAnswer: -(w - 1248)*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2815.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 2*k**4 - 4*k**4 + (k + 2*k**2 - k)*(k - k + k**2) - 1 + 1 + 3*k**4 + 13*k**4 - 13*k**4 - 22*k**4.\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 1 (c) 0.1 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185012639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 14) to base 13.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -28*u**3 + 7*u**2 - 8*u + 2. Let i(k) = -k**3 + k**2 + k - 1. Let h(q) = -2*i(q) - w(q). Find the third derivative of h(n) wrt n.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*q = 671*q - 333*q + 23545. What is the greatest common divisor of 7479 and q?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(171)*1 + sqrt(19) - ((sqrt(1216)*2)**2 - sqrt(1216)).\nAnswer: -4864 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7258762 to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3395\/13 + -261. Let v = 5\/52 + y. Which is the smallest value? (a) -2\/15 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-5))\/((-3360)\/12000)\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -104 (b) -21807 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 46 = 240. Suppose -4 = -l + 1. Solve -3*d - j = 4*j + 19, -h = 4*d + l*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**5\/20 + 25*g**2\/2 + 2. Let r(s) be the second derivative of z(s). Determine r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 257. Let u = 86.999923 - c. Round u to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1)**2 + 1 - (-3 + sqrt(6)\/sqrt(2))**2) + ((sqrt(243) - sqrt(243)*-1) + sqrt(243) + -5*(sqrt(3) + -1))**2.\nAnswer: 228*sqrt(3) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zdzdhhhccczddhdhooc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178.29 + 178. Put 4, 3, c in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 - 4*r**2 + 3. Let b be g(1). Solve b*s - 4 = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-8) + (-261)\/(-2). Suppose -d = d - 4. Suppose -d*f + 5*f = j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 3. Let g(m) = -m + m + x + 0 + m. Let t(k) be the first derivative of k**2 + k + 1. Calculate -g(b) + t(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1602\/72281 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/840 - s**6\/90 - s**5\/15 + 5*s**2. Let d(g) be the third derivative of x(g). Find the first derivative of d(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16464 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/4)\/((-428)\/1177) and -37\/1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/(-12)*0. Suppose 33*z + 5*z - 456 = i. What is the smallest common multiple of 33 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1)\/((2\/230)\/(13\/65)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 26*j - 107. What is w(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 7. Let p(q) = 535514*q - 10*q**2 - 535514*q - 13*q**2. Determine w(p(k)).\nAnswer: 1587*k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let h be s(6). Let k = -4 - h. Suppose 2*j = 4*v + 38, -j + v = -4*v - 34. Calculate the greatest common divisor of k and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 67 - 67 - 6*r**2. Let l(g) = 7*g**2 + 5. Let d(v) be the first derivative of v**3\/3 + v - 9. Let o(j) = -5*d(j) + l(j). Calculate t(o(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21117, 21095, 21059, 21009, 20945, 20867, 20775?\nAnswer: 20669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*q - 189820 = 173*q. List the prime factors of q.\nAnswer: 2, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1395 + -18)*1\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 2\/375, 4\/5 in descending order.\nAnswer: 4, 4\/5, 0.3, 2\/375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 18*d**2 + 18*d - 59. Let p be b(22). Let s = p + -1616. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -256\/31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 13*x + 3. Let k be s(-13). Suppose -10*w - 1 = -11*w. Suppose -w = -c + 2. Solve -c = k*p + 5*j + 28, -5 = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 750*d**3*l**4 + 24748*d**3*l**2 - 37*d*l**4 wrt l?\nAnswer: 18000*d**3*l - 888*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o. Let k(u) = -6*u**2 - u. Let i be k(-1). Let s be q(i). Which is the closest to 1\/4? (a) 2 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*f + 499794 = 491552 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -207289?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 3 (b) -8 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -18. Let s = -17 + a. Let f = 2.4 + -2. Put s, -3, f in ascending order.\nAnswer: s, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 3}. What is prob of picking 2 l and 1 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o**3 + 5*o**2 - 4*o - 7. Let m(t) = t**3 - t**2 + 1. Suppose 4*b + 5*g = -36, 18 = 3*b + g + 23. Give b*z(a) + 5*m(a).\nAnswer: -7*a**3 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*14.572.\nAnswer: 0.58288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(130\/(-52)*(-4)\/(-14)*(-23450)\/(-250)).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.158 - 35.158. Let a = x + 36. Sort 9, a, -3 in decreasing order.\nAnswer: 9, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0502121 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -14. Let z = -3 + r. Calculate the common denominator of -28\/11 and 14*((-22)\/(-24) - z).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47154, 47152, 47150, 47148, 47146, 47144?\nAnswer: 47142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856998089 a multiple of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1778498 to two dps.\nAnswer: 6.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-40))\/(1\/8). Suppose -2*g + 26 = b. Let o = 32 - g. What is the greatest common factor of o and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*h + 111*h + 105*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960815.\nAnswer: 3, 5, 330721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120420 divided by 892.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 232 + -14?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1.1. Let z = -1 + 6. Let p = -5.6 - -6. What is the second biggest value in c, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2218, -1\/10, 5 in decreasing order.\nAnswer: 5, -1\/10, -0.3, -2218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = 0, -3*j + k = 3*k - 11. Let s be (-14)\/(-5) - 6\/(-30). Suppose s*y + t - 11 = -3*t, 5*t = -2*y + 12. Are j and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 62*d = -354 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -3\/4*v**4 + 0*v + 2 + 0*v**2 + 2\/3*v**3. Find the third derivative of r(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1287\/(-15))\/11 + 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*x, -2*y = -2*x - 0*y. Suppose 3*h - 6*h + 189 = x. Calculate the remainder when h is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2726 + 4224 = 107*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 125. Let u be s(16). Solve -u = 12*o - 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20677\/7 + 2949. Find the common denominator of (-3)\/9*36\/11 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cfa6 (base 16) in base 5?\nAnswer: 3200113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/4715 and -8\/207?\nAnswer: 42435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94959680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 88, 0.2 in decreasing order.\nAnswer: 88, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. Let f be ((-8)\/k)\/((-4)\/10). Suppose f*v - 2 + 0 = 0. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let c be l(1). Let z be (c + 14\/10)*-5. Suppose v + 4 + 8*v**2 + 3*v - 6*v**2 - z*v**2 - v**3 = 0. Calculate v.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlwwwhhlhhwhhlwwh. Give prob of picking 4 w.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 + 502986152*w + 15812191818985444 = 0.\nAnswer: -62873269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4 + 6))\/((-18)\/24). Let p = -7 + 7.1. Let x = 2 + 0. Which is the second smallest value? (a) 3\/2 (b) x (c) p (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 6*d + 9. Let x be 3\/(-12) - 58\/(-8). Let w be p(x). Suppose g + w*g = 0. Solve 5*u = -3*s + 7*s + 16, g = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h. Let o(a) = -1309*a**2 - 1002*a**2 + 2085*a**2. What is w(o(c))?\nAnswer: 1130*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3318576 and 117680.\nAnswer: 16592880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g - 3*g - 17*g - 24*g - 18*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -62935a (base 11) to base 16\nAnswer: -f617b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:54 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74045 - 74043. Let n = 11 + 23. Calculate the highest common factor of n and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z**2 + 140*z**2 - 3*z + 2 + 3*z to l*z**2 + x*z + p and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2448) + -1 - 1*sqrt(2448)*2)*-3)**2.\nAnswer: -216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -5, -971, 3, 2 in descending order.\nAnswer: 3, 2, -5, -239, -971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (-4)\/(-3)*(22 - 19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - (-2 - (1 + 3)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 34) + 45 + -48?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -42*b**3 - 2*b**2 + 3*b - 1. Calculate i(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 4*w + 4*w - 3*w - 1251*w**2 as m*w**2 + l*w + y and give m.\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*d + 108*d = 244*d + 4972 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-9))\/((-86)\/1935) + 13*6226?\nAnswer: 3, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 7 - -76) + -67?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v**5 + 3075*v**4 - 38725*v**3 - 138075*v**2 + 12870*v = 0 for v.\nAnswer: -66, -3, 0, 1\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:13 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405) + (sqrt(405) + 0 + sqrt(405))**2.\nAnswer: 9*sqrt(5) + 1618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(66) + sqrt(66) - -4*sqrt(66)*1)\/((sqrt(54) + 3*sqrt(864) + sqrt(54))\/(sqrt(729) - (sqrt(729)*-2 - sqrt(729)))).\nAnswer: 36*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27586\/7 (b) 2 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Find z such that -p + 3 - 2*z + 2*z**3 - 2*z**2 + 0 + 0*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7090, 13861, 20300, 26401, 32158, 37565?\n\"Answer: -x**3 - 160*x**2 + 7258*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 475771895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812536 and 157753.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471819 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 4*k - 1, 3*k = -5*g - 64. Let t(c) = -8*c + 2. Let w(z) = -15*z + 4. What is g*t(p) + 6*w(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22378 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9597, -9594, -9581, -9552, -9501, -9422, -9309?\n\"Answer: f**3 - f**2 - f - 9596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 4*q**2 + q - 3. Let s be v(3). Let m = -7 - s. Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192258.\nAnswer: 2, 3, 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 603.9394 centuries?\nAnswer: 60393.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56b + 54b?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*x - 17. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 - g**5\/10 - 3*g**4\/8 + 2*g**3\/3 + 10*g**2. Let p(q) be the first derivative of m(q). Factor p(u).\nAnswer: -3*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5061 + -355. Let n = l - -13001. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3749 divide 2747495889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*s + 391*s - 53110 = 104*s - 50*s for s.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose 8 = 3*i + t*h, 0 = -5*i - 3*h + 13 + 1. Suppose -80 = -i*o - 0*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 3*k + 2. Let x be u(3). Suppose 5*y - 330 = x*y. Suppose -3*i = 0, 0*b - 4*i = -2*b + y. Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*2)\/(0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 8. Solve 0*v + z = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 7*b**2 + 9*b - 15. Let u be v(6). Let j = u - -195. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82683198 = -4*x + 16937270. Let l = 10936482 + x. What is l rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6768*x**2 - 257186*x - 21. What is g(-38)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d - 3*d + 138 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 10) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 65900*x + 3972000 = 0. Calculate x.\nAnswer: -13240, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -17\/4, -5, -12 in ascending order.\nAnswer: -12, -5, -17\/4, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/22*(-9)\/(-27) and 43\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10289601 is divided by 3429437?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -21957 (b) -3 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*c = -403*c - 7. Put 42, 1, c in descending order.\nAnswer: 42, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.237722974 rounded to 4 decimal places?\nAnswer: -4.2377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 12*p**2 - 13*p + 8. Is 3 a factor of h(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*12\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 118101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18692357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (9 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*d*z + 1903*c**2*d + 2*c**2*z**3 - 4*c*d*z**3 - 14*c*d - 4*c*z + 2*d*z - d - z**2 wrt c.\nAnswer: -12*d*z + 3806*d + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17964177*k + 522 = -17964148*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -124*k - 1984. Calculate r(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488193568 to the nearest integer?\nAnswer: 38577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1042123 - -1042153. Let c = 22 - 12. Let h be (-2)\/(-5) + 2096\/c. Calculate the highest common divisor of q and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14470 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*q = -62*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 59. Is 32 a factor of (-5)\/(5\/12)*(-288)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -188239.\nAnswer: -188238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**4 - 319*u**4 - 320*u**4 - 85*u**4)*(-6 - 3 + 12).\nAnswer: -2151*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8133*a + 13. Let i(t) = 2707*t - 4. Determine -7*i(c) - 2*j(c).\nAnswer: -2683*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111191824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*10\/(-22). Let p be -2 + 2\/4 + 0. What is the second smallest value in s, p, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 417, 863, 1337, 1833, 2345?\n\"Answer: -k**3 + 20*k**2 + 393*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(539) + 3)**2 - (sqrt(539) + 1 - sqrt(539))*-2).\nAnswer: 42*sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.54222034 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(315\/(-1050)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/((sqrt(81) + sqrt(81)*1 + sqrt(81))\/sqrt(9) - sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) 5 (b) -0.4 (c) -0.06 (d) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f - 2. Let v be a(2). Suppose 4 = -p + v. Solve -5*z - 4*b - 3 = 0, -z - z - 4*b - p = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667291880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*j**4 + 6*j - 3 - 46*j - 99*j - 233*j**4 to the form p*j**2 + o*j**3 + b*j + h*j**4 + x and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j + 5. Let r(y) = y + 4 + 4*y + 9*y. Let a(o) = -4*m(o) + 5*r(o). Let f(x) = -2*x**2. Determine f(a(h)).\nAnswer: -200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -3*x**5\/20 - x**4\/6 - x**3\/3 - x**2\/2 + x - 81. Let g(p) = 6*p**3 + 5*p**2 + 5*p + 2. What is 2*g(b) + 5*i(b)?\nAnswer: -3*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + ((-307510)\/(-3345))\/(-23). Sort -1\/8, -1\/3, 1, z in descending order.\nAnswer: 1, z, -1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from bmbaababbc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 2*q - 463 = -2*r + 3*q, q - 465 = -v*r. Suppose -2401*i - 232 = -2409*i. What is the highest common factor of r and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 267*u - 264*u - 6423. Let w = u + -1074. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**5 + 136*x**4 - 256*x**3 = 0?\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2040 + 21110?\nAnswer: 23200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7885708.7 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1963444.5 months to millennia.\nAnswer: 163.620375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 320, -2\/11, -4 in descending order.\nAnswer: 320, -2\/11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 0.5, 5\/3, -0.401, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + -1)**2 + (1 + 1 + sqrt(243))**2.\nAnswer: 18*sqrt(3) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 11. Let n be r(-10). Let d(y) = -y - 1. List the prime factors of d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(275))*4*-3 - (((sqrt(66)\/sqrt(2))\/sqrt(3) - sqrt(11)) + sqrt(99) + 3))**2.\nAnswer: -2646*sqrt(11) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4 + 1608*f**3 + 184896*f**2 + 6096384*f = 0.\nAnswer: -392, -72, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*w = 20, 4 = 2*n + w + 2*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2 and -48\/6721727.\nAnswer: 13443454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (-46 - -47)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m - 272. Let b = 18 + m. Let a = 64 + b. What is the closest to 1 in a, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*((sqrt(114)*1 - sqrt(114))*-6 - sqrt(114) - sqrt(114)))\/(1*sqrt(216) - 6*sqrt(6)*4).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -991057029\/4 not equal to -247764256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-27)\/(-21). Let w be 0 - 2\/1*a. Find the first derivative of -1 - 2*m**2 + 3*m**w - 5*m**2 + 3 wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(3\/7)*a)*(a*a**2)\/a*a)**(-18)*((a**(2\/3)*a)**(-1\/39))**(-2\/13) assuming a is positive.\nAnswer: a**(-492734\/10647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 12030.\nAnswer: -29\/6015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 33*k**2 - 39\/2*k**3 + 0*k + 3\/2*k**5 + 0 - 15*k**4 = 0?\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14990.\nAnswer: 2, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*d + d + 5*d)*(-69*d + 251*d - 98*d) - 8*d**2 + 4*d**2 + 3*d**2)*(7 + 7 - 1)*(d - 4*d + d) to t*d**3 + f*d + p + o*d**2 and give t.\nAnswer: -4342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 445866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let d(g) = 1371131*g. Give d(a(q)).\nAnswer: 1371131*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6 (base 14) in base 8?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*n**5 - 114*n**3 + 55*n + 1147.\nAnswer: 6400*n**3 - 684*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 12*h - 8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 44 = -2*u, 5*u + 3*b = 4*u + 44. Let p = 46 - u. Suppose -t - 5*k = -16, -4*t + p = -6*k + k. Calculate the remainder when 17 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/56 and -54\/385.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a678 - -1a?\nAnswer: -1a659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y + 7. Let l(s) = 8*s + 8. Let c(g) = -4*l(g) + 5*n(g). Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1647\/7 + 6035\/28. Calculate the common denominator of (366\/20 - 0)*31\/(-93) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjubsssdbgbsgbb. Give prob of picking 1 u and 1 s.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*sqrt(144)*5)\/(sqrt(3) - sqrt(21)\/(sqrt(7) - sqrt(63))) + -5.\nAnswer: -160*sqrt(3)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303521112.\nAnswer: 2, 3, 47, 257, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 2*a + 1. Let z(k) = -k**3 - k - 1. Suppose 5*t + 5*t = 70. Suppose -5*p + t = -3. Give p*z(s) + r(s).\nAnswer: -2*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8924*w**2 + w + 19061 wrt w.\nAnswer: -17848*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and (73 - 0)\/(7 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 1 + 6*z**2 - 2)*(2*z**2 + 2*z**2 - 5*z**2).\nAnswer: -7*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8195649 divided by -187\nAnswer: 43827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -520, -2240, -5100, -9094, -14216, -20460?\n\"Answer: d**3 - 576*d**2 + d + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2040 + 2*a - 2*a - 1505 + a.\nAnswer: a - 3545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122234 (base 5) to base 7.\nAnswer: 560003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 176\/7*v**2 - 48\/7*v - 4*v**3 + 0 = 0.\nAnswer: 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76.379891 and 1.8.\nAnswer: 137.4838038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from pihixhsxfhxxx.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060276469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165816413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 7*k**3\/3 - 5*k**2\/2 - 14*k - 76. Let i be g(-2). Calculate the highest common divisor of i and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*v**4\/7 + 1116*v**3\/7 + 2858*v**2\/7 + 3224*v\/7 + 1352\/7 = 0. What is v?\nAnswer: -2, -13\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 146. Which is the smallest value? (a) t (b) 3\/5 (c) -3 (d) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 62*l**2 - 47*l + 11. Calculate the remainder when z(3) is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2293 divided by -39251.\nAnswer: 2293\/39251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhkoohhow. What is prob of picking 1 o and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 352.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 1174, 3458, 7602, 14152?\nAnswer: 23654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*n + 48 = 0, s + 4*n = 47 - 3. Let j = s - 8. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -11 (c) -1\/3 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 32*r + 2646. Suppose -r = i - 50*i. Factor i*b**2 + 2\/5*b**3 + 0 + 8\/5*b.\nAnswer: 2*b*(b + 1)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (-10)\/5 + 6 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/95318 and -151\/285954?\nAnswer: 285954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10346651 and 10549?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let n(s) = -11*s**2 + 3*s**2 + 3*s**2. Calculate n(d(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411294?\nAnswer: 2, 3, 13, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 237, 236, 235, 234, 233, 232?\n\"Answer: -l + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 3, y: 7}. Give prob of picking 2 v and 1 u.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309150?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**9\/504 + i**5\/30 + i**2 - i. Let a(o) be the first derivative of k(o). What is the third derivative of a(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080, -1701, -2320, -2937?\nAnswer: -3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79223169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -562 minus 419?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 772 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 4688684*n = 0. What is n?\nAnswer: -2344342, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from vvzgzvczggzmvvxcvmg.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 + 8*n + 35. Let i be r(-4). What is the highest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2000110112021?\nAnswer: -2000110112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55\/26 - 973\/130. Let z = 6299\/50 + -127. Find the common denominator of z and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:08 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 3*a**4 + 64*a**3\/3 - 51*a**2. What is the derivative of k(n) wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 36*c. Let l(m) = -1 - 104*m + 110*m + 1. What is k(l(r))?\nAnswer: 216*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40691 or -40705?\nAnswer: -40691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g. Suppose g = 2*l - 4 - 0. Suppose 0 = -3*b + 4*b - 5. Solve 0 = b*c - d + 17, -2*d = 8 - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 68 - 29 = p, -y + 5*p = -29. Suppose 15*q = 94 + 146. Calculate the highest common factor of y and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and (-90)\/120*(-8)\/3?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3882360113 plus 0?\nAnswer: -3882360113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 63.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35941 is divided by 289.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 815 in 0.045, 3\/4523, -2?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1785*a**4*z - 6*a**4 - a**2 - a*z - 23743*z - 4 wrt a.\nAnswer: -21420*a**2*z - 72*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62244977.\nAnswer: 62244977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*t + 12, 0 = 5*u + 109*t - 110*t - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + 69 - 69. Let r(l) = 4*l**2. What is r(j(i))?\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -32, -55, -84, -119, -160?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*y - 21*y + 3400. Solve -18*m - 50 = -y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1685048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**17\/d)\/(d*d**(-16))*(d*d\/d**(-2\/37))\/(d\/d**17))**(-49) assuming d is positive.\nAnswer: d**(-88935\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542533179, -542533178, -542533177, -542533176?\nAnswer: -542533175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20058*j**3 - 272*j**3 - 849*j**2 + 847*j**2 + 50*j**3.\nAnswer: -20280*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 67 times -1.73\nAnswer: -115.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3, 18, 5 in increasing order.\nAnswer: -3, -1, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*s - 40 = -99*s. Let h be (4\/s)\/((-11)\/110). What is the second smallest value in -12, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1272531 or 1272629?\nAnswer: 1272629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -657b - 89?\nAnswer: -6648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113758795 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w + 861 + 13721 = 0. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 949, 2\/7, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 18. Let h be z(0). Suppose -w - 5*u = -4*w + 59, -4*w = -3*u - 75. Calculate the highest common divisor of w and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -3)\/(-101 + 99)*(-294)\/(-35)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-20)\/(x*(x**(-2\/9)*x)\/x*x*x**(3\/7)) assuming x is positive.\nAnswer: x**(-769\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16099 - -16099.14. Which is the fourth smallest value? (a) 0.4 (b) -0.2 (c) 2 (d) 60 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1 + 4 = 3*i, 3*i = -h + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23994739 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 29 = 47. Let j(f) be the second derivative of 0*f**y + 2*f + 0 - 1\/2*f**2 + 1\/4*f**4. Determine j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2477 - 1239 - 1238 - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21844?\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-37)\/2)\/(15\/120). Let w = n - -149. Let s(z) = -16*z**3 - 1. Determine s(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/15 - 5*n**4\/24 + 8*n**2. What is the second derivative of u(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.7 in -0.0357, -1, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**3 + 13*h**2 + 14*h - 4. Let k be n(7). Let b = -355 - k. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5300 + 6137. Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-408)\/40 - -10)\/(-2 - (-92)\/20). Put -0.03, u, -0.2, 0.4 in increasing order.\nAnswer: -0.2, u, -0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.09, 0.5, -1\/3.\nAnswer: -1\/3, -1\/8, 0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-4)\/(-8)). Let h be (-2)\/(-7) - 19\/(-7). List the prime factors of (2 - p)*(h + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -0.044, -147, -1\/7, 39 in ascending order.\nAnswer: -147, -47, -1\/7, -0.044, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*v = 2 - 9, -7 = 2*n - 5*v. Let l be (-1)\/((2\/10)\/n). Let u(m) = 17*m - 47. Let y be u(3). Solve t = 5*r + 20, -l*t + 3 = y*r - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 6) to base 12.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3937.992 times 0.07\nAnswer: 275.65944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 0*h**2 + 3*h**2)*(-h**3 - 2 + 2 + (-5 + 3 + 1)*(2*h**2 + 2*h**3 - 2*h**2) - h**3 - 2*h**2 + 2*h**2 + 0*h**3 - 2*h**3 + h**3 + 2 - 2 - 2*h**3).\nAnswer: 21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 6:49 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165662956*i**3 + 109429326*i wrt i?\nAnswer: -993977736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*b + 29, -k - 33 = -4*b - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 2*g + 1 - 2 + g - 3 + 3 + (-2 + 3 + 0)*(-4*g + 2*g + 0*g) in the form r + q*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/(-240)*16)\/(-1))\/(6\/24).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 368*d**3*v**5 - d**3*v**4 - 3*d**3 - 2*v**2 wrt v.\nAnswer: 22080*d**3*v**2 - 24*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 50 - 135 = 0. Let j be -2 - (-4 + 7 + -2). Let n be (q + j)*(5 - -4). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**17*z*z\/((z*z**(-5\/4)\/z*z)\/z) assuming z is positive.\nAnswer: z**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -237*h + 100 + 29 + 467*h - 233*h. What is the remainder when 40 is divided by y(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104\/441 - 2\/147. Let h = 91.8 + -88.8. Which is the nearest to -1? (a) t (b) h (c) -4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-6) + 2 - (131 - 134).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.8384ml to litres.\nAnswer: 0.0928384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -315987*n**2 - 4*n + 3. Let y(s) = -s**2. Determine l(y(g)).\nAnswer: -315987*g**4 + 4*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 259491035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*m + 7*m + 938, -2*o + 3*m = -373. Calculate the remainder when o is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3942 divided by -3\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -64bd4?\nAnswer: 64bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155370*r + 155739*r - 311125*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/20)\/7*(-243)\/(-9)*-4)\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22998?\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11768 divided by -6?\nAnswer: 5884\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 153*o + 92. Let u be r(0). Solve 0 = u*w - 90*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 4*b)*(-26 + 6 - 20)*(-b**2 + 2*b**2 - 3*b**2).\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2183278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**6 - 828*u**5 + 4473*u**2.\nAnswer: 360*u**3 - 49680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 52*a = -315. Let r = -219 - a. Suppose 0 = -97*m + r*m + 46. What is the lowest common multiple of 10 and m?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 1916*z + 1 + 662*z**5 - 321*z**5 + 523*z**5 wrt z?\nAnswer: 17280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20.1. Let y = -0.3 - -0.5. Which is the nearest to p? (a) y (b) 3\/4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -2 in decreasing order.\nAnswer: 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**7*g**(-5))\/(g**(2\/19)*g*g\/(g\/(g**(-15)\/g)*g*g)) assuming g is positive.\nAnswer: g**(397\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -4\/3 (c) 2\/23 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + m = 15, 3*m + 694 = h + 691 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11463389 and -9.\nAnswer: 103170501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(16\/2))\/(7\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -w - 0*k, 4*k - 16 = 0. Suppose 11 = -2*x + w. What is the greatest common divisor of 26 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 2*m)*(-4 + 4 + 2*m)*(1 - 3 - 1).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 27*f**2 - 5*f + 107. Let x(u) = -5*u**3 - 41*u**2 + 7*u - 160. Let a = 146 + -151. Let t(d) = a*x(d) - 7*q(d). Differentiate t(r) wrt r.\nAnswer: 12*r**2 + 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2315 or -16199\/7?\nAnswer: -2315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10710 and -163\/1260.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*f + 17 + 1432*f - 724*f + 9.\nAnswer: -11*f + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562823131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -57?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Find the second derivative of 5*c**3 + 2*c + 6*c**d - 3*c**3 + 0*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.2 - 5. Let f = 0.34 + -0.34. Which is the third biggest value? (a) -4 (b) -0.3 (c) g (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**6*x**(-3\/2)\/x*x*x**5*x**(-7))\/((x**(-1)*x**(-4\/5)*x)\/((x*x*x*x*x\/x**(-2))\/(x*x**7))) assuming x is positive.\nAnswer: x**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4*w - 42, -15*a + 3*w - 39 = -12*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -4. Calculate the greatest common divisor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + x + 1273 = 0, 3*i + 3*x - 1906 = x. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 42187773.\nAnswer: -19\/42187773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -120?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-40)*(3 - 23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 4:09 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6496181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**3*n**2 + 6*d**3*n*w**3 - d**2*n**3*w**2 + 14*d*n**2*w**2 + 3*d*n*w**3 + 7*n**3*w**3 wrt w.\nAnswer: 36*d**3*n + 18*d*n + 42*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 2, c: 2, w: 1, j: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 2439441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 8060?\nAnswer: 112840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 0, 1\/2, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by -58.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 186*x + 264 = 0, 4*m - 6833*x + 6834*x - 114 - 100 = 0 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(-1)*(-6)\/12. Suppose w - 40 + 37 = x. Factor -10*g**3 + 5*g**3 + w*g + 2*g**3.\nAnswer: -3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1314113134 - -10?\nAnswer: 1314113144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20384*q**6 + 2*q**2 + q + 85?\nAnswer: -2446080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -49 in descending order.\nAnswer: 2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let i = -76 - -96. Let n(r) = -17*r - i*r + 51*r - 16*r. Calculate b(n(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 13*t - 127. What is d(17)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/6)\/((-16)\/(-21)))\/(5895\/1572).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 3. Suppose 311*b + 16*b = 20601. Calculate the least common multiple of w(-9) and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*i + 76*i**2 + 1 + 775*i - 1.\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/11)*d))\/(d**4\/d)*d**9*d*d*d**7\/d assuming d is positive.\nAnswer: d**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221216874 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -385290468 divided by -96322617\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-5)\/3). Suppose -4*v = -3*s - 386, -v - s - 27 = -134. Do v and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5747703 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -21*b. Let h(v) = -399*v. Calculate 3*h(q) - 56*r(q).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1509, -885, -4885, -10497, -17727, -26581?\nAnswer: -37065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*w - 101*w - 81*w**4 - 73*w + 133*w**2 + 80*w**4 - 118*w**2 - 2*w**3 in the form p + g*w**3 + k*w**4 + d*w + y*w**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h - 11. Let b(g) = g**3 + g**2 - g - 3. Let v be b(2). Let j be o(v). Let x = -34 + j. Is x at most -13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(1300) + sqrt(1300)*2 - sqrt(1300)) + (sqrt(1300) - (sqrt(1300) + 2)**2 - sqrt(1300)) - (0 + 4 + sqrt(65)\/sqrt(5))**2.\nAnswer: -1333 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 1. Let t be z(-1). Suppose t*y - 13 = 19. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 4644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1164, -2323, -3486, -4653?\nAnswer: -5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/900)\/(7\/(-6)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 12*s - 3*b + 2*b = -2*s, -465 = -3*s - 30*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 104666 (base 10) to base 15\nAnswer: 2102b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 638 = -4*f. Let o = -43 - f. Solve o = -4*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 - 57*x**3 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 39. Calculate the remainder when 147 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 + -372 + 140 - (-12 + 3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/728 and -19\/27174.\nAnswer: 1413048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8155 + -146659\/18. Calculate the common denominator of j and 55\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73\/3 - -809\/33. Which is the nearest to -1? (a) f (b) -0.3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.36 and 944.484.\nAnswer: -1284.49824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 355 + 294. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 4, 31, 53, -3, 2 in descending order.\nAnswer: 53, 31, 4, 2, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 46*g**2 + 289*g - 294. What is y(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (6 - 4)) + 0 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 713, 2913, 6581, 11717, 18321, 26393?\n\"Answer: 734*u**2 - 2*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41301.75 kilograms?\nAnswer: 41301750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61631 or -63127?\nAnswer: -63127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:22 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2) + (-2)\/(-1). Suppose 2*v - 2*f + 34 = 0, v - 3*f - 3 + 18 = w. Let h be ((-1)\/3)\/(21\/v). Sort -1\/2, h, 2.\nAnswer: -1\/2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 169? (a) 2\/3 (b) 0.5 (c) 0.018 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -6d08924?\nAnswer: -6d08920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 337 - 319. Solve 0 = b - 3*a + 1 + 9, 0 = -3*b + 5*a - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 42 + 2*d - d - 76.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 41. Let f(v) = -t + 3 - 80*v + 66*v. Let c(s) = s**2. Determine c(f(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -11 + (-1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55447 and 14756823.\nAnswer: 103297761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 17159, 15, 0.67, 5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 33*k**2 - 46*k - 323. Let a be p(-34). Calculate the highest common factor of a and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggnnnggngggn. What is prob of picking 1 g and 3 n?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9797085.\nAnswer: 3, 5, 31, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 57956?\nAnswer: 57959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Suppose -l + 4*s + 2 = -2, 3*l - 12 = -4*s. Suppose 10 = l*q + c, -2*c = -q - 3*q + 16. Let m(z) = -2*z - 3*z + 0*z + q*z. Calculate m(j(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r - 2*r**2 - 56*r + r**2 to the form x*r**2 + c + l*r and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 - -283. Suppose 9*m = j*m + 5*p + 30481, -22859 = -3*m + 2*p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 2. Suppose 0 = 3*s + 2*s, -5*u - 2*s - 5 = 0. Let j(r) = -r**2 + r - 1. Determine u*z(b) - 2*j(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468469?\nAnswer: 17, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9391 (b) 2\/3 (c) 378.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46970 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11052035 is divided by 2210407.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxdxxxxdxdd. Give prob of sequence xdd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4949*z - 4*s = -4952*z + 10, 0 = -6*z - 2*s - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-207)\/6*4\/(-2). Let g = m + -38. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38898034 by -878.\nAnswer: 44303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzvbzzzvvvzzavvzv. Give prob of picking 1 v and 1 z.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(896)\/sqrt(2))\/(sqrt(576)*-2 - sqrt(576) - sqrt(4)))**2.\nAnswer: 2800\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-90)*((-108)\/(-9))\/(-24)*-5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*s + 3*s. Let x(j) = -6*j**3 + j. Let a be x(s). Sort 3, a, -2 in ascending order.\nAnswer: a, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 13. Calculate the lowest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7786*t + 308 = -7772*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55337*y**2 + 14*y - 622.\nAnswer: -110674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose h*o - 7*o + 200 = 0. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 30. Let f be k(-18). Suppose -2*d - f = -5*d. Let 2\/17*v**2 + 4\/17*v**3 - 2\/17*v**d - 4\/17*v + 0 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 151*q + 5543. Let x be i(88). Sort x, 12, -3, -5, 7 in decreasing order.\nAnswer: 12, 7, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90278106 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*v + 4 = 207*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -683612099*n**2 + 341308346*n.\nAnswer: -1367224198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 6*j - 4*j**3)*(1 + 47 - 24)*(-1 - 2 + 2) + (j**2 - j + j)*(2*j - 2*j - 2*j) - 5*j**3 - j**3 + 3*j**3.\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17549 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60108297 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(((d*d**(-1)*d*d*d)\/d*d)\/d*d))*d)*d)\/d*d*(d\/(d*d**16)*d)\/d*d**8*(d\/(d*d**12))\/d assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p + 99. Suppose r - 5*h - 16 = 0, 3*r - 4*h - 37 = 11. Let d be z(r). Solve d*s = 7*s + 4*w - 12, 4*s + 3*w = 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)\/j**6)**(2\/65))**(-43) assuming j is positive.\nAnswer: j**(301\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714754.\nAnswer: 2, 357377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 42*c - 211. Let a be m(-36). Solve -8 + a = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 1. Let j(k) = -k + 1. Let h(l) = 5*j(l) + 2*y(l). List the prime factors of h(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1703 = 5*z - 2*j, j - 8548 = -5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**3 - g**2 - 3*g. Let m(q) = -q**2 + q - 1. Calculate l(w) + m(w).\nAnswer: -8*w**3 - 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.97 in 3, 1\/3, -2\/7, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0b9e (base 16) in base 11?\nAnswer: -49a102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*j**3 + 3190777*c*j - 8410*j**3 + 2136*j**2 + 2*j - 2 with respect to c.\nAnswer: 3*j**3 + 3190777*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 383*k**3 + 74*k**3.\nAnswer: -313*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1928)\/1205)\/(1 + 1\/5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(14\/(-4)))\/(-14). Let v = -181\/708 + 1\/177. Which is the nearest to -0.1? (a) v (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 187 (b) -1 (c) -49.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273996 and 4248.\nAnswer: 547992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/7 (c) 110 (d) -13\/5 (e) 54\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1109 and 0.13.\nAnswer: -144.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35048*y + 68*y**2 - 44*y**2 + 25504*y.\nAnswer: 24*y**2 + 60552*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1853.9 - 2042. Round z to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (-2292)\/104)\/(3\/6).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771 and 98287851?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 + 17*w**2 + 0*w + 0*w**4 + 19\/60*w**5 + 4\/3*w**3. What is the first derivative of s(m) wrt m?\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 - 764270*j + 764267*j + 3. Let n(h) = -38*h - 3. Let l(d) = 228*d + 19. Let g(r) = 3*l(r) + 19*n(r). Determine o(g(x)).\nAnswer: 114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2047 + 2047.1. Let n = 803 - 808.11. Let f = -0.11 - n. Which is the nearest to w? (a) f (b) -0.01 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 + 6*g + 16*g + 77 - 42*g.\nAnswer: -20*g + 460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, -97, 0.5, 2\/13, -1 in descending order.\nAnswer: 155, 0.5, 2\/13, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84279.95ng in micrograms?\nAnswer: 84.27995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/9 - 1816*a**4\/9 + 3680*a**3\/3 = 0. Calculate a.\nAnswer: -460, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - 76ae?\nAnswer: -76e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 6217104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 551, 9 in descending order.\nAnswer: 551, 9, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487, -973, -1461, -1951, -2443?\nAnswer: -2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2\/13*o**4 - 14\/13*o**3 + 18\/13*o**2 + 54\/13*o - 108\/13 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 2\/5 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvtwvcvcyvtvvt. What is prob of sequence tccw?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330345 - -2212?\nAnswer: -324133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/19))\/p*p**(-1\/3))\/(p**(-2\/3))**(23\/4))\/((p**(-2\/3)\/p)**11*p**6*p**2*p) assuming p is positive.\nAnswer: p**(1451\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*s**2 - 11*s**4 + s - 363*s**2 + 2 + 37*s + 2*s**3 wrt s.\nAnswer: -132*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64163195 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:08 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 7*p + 1. Let j be a(5). Let t be -12 - (3 - (1 - 1)). Let o be ((-48)\/t)\/((-1)\/(-5)). What is the highest common factor of j and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 136. Suppose 0*c - 2*c + 2*r + 1270 = 0, 4*r - 1877 = -3*c. Let l = 654 - c. What is the greatest common divisor of a and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -28 (b) 0.2 (c) -1.5189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 14. Let b be w(4). What is the highest common divisor of b and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1)*q*q)**(-22)*q**(2\/3)*q**(-1\/2))\/((q*(q\/(q**(2\/5)\/q*q*q))\/q*q)**(-13)*q**(-1)\/(q\/(q**(-2\/21)*q*q)*q)) assuming q is positive.\nAnswer: q**(-7337\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/9*-3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178)\/100 - (-2 - -1). Let c = m + 12\/25. Find the common denominator of (-3*46\/(-12))\/(88\/(-24)) and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78354660 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 7*q**2 - 5. Let y be a(-7). Let l(c) = -c - 2. Let i be l(y). Let s be 21\/(-28) - (-21)\/12. Solve -s - 2 = i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 9) in base 5?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.23 and -0.4?\nAnswer: 4.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301141 (base 5) in base 6?\nAnswer: -512512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3010*v**2 - v + 5553 wrt v.\nAnswer: -6020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-32)*4\/(-40)*4. Let o be ((-2)\/(-14)*2)\/2. Let s = -0.3 - -0.2. Which is the nearest to -2\/9? (a) s (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 0.3 (c) -0.2 (d) -358 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 127 - 1 = 2*f, -5*a = f - 50. Let b be (f\/8)\/((-6)\/(-40)). Calculate the highest common divisor of b and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-29)\/(-725)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(5 + 28\/(-8)). Suppose n + 1080 = -0*n + 4*b, 0 = 2*n - 4*b + 2140. Let p be (1\/4 - n\/d)*2. What is the greatest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6018.\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40577 + -403823\/10. Is 195 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 8. Let y be m(-6). Let s(p) = p**3 - 5*p**2 + 2*p + 6. Let j be s(5). What is the common denominator of -123\/10 and (-125)\/j*y\/(-15)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 5*p - 5*p - 3*p + 5*p - 3*p + (0 + 2 - 1)*(-2*p - p + 5*p) + 6*p + p - p + (1 + 0 + 3)*(p - p - 2*p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21078, -83554, -187676, -333444?\n\"Answer: -20823*x**2 - 7*x - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -256492\nAnswer: 1\/128246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 3*o**2 - 2*o - 3. Let t be h(-2). Suppose 47 = t*l - 23. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 3350*z - 6 = -3353*z, -2*z + 4 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5676 and 2451.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and -32.367.\nAnswer: -32.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14142 - 342110?\nAnswer: -411302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 2, t: 3, i: 13}. Give prob of picking 4 i.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times 0.0454?\nAnswer: -1.7252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 527 - -1146?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v + 2. Let y be p(2). Is y bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7978165 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 - 251 = -6*u. Suppose -u*j + 4*i + 5412 = 0, 16*i = 3*j + 11*i - 4051. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 32*a**2 - 9*a + 590. What is t(-31)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/37, -5, 3, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + (99 - -57) - 74.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2787 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v - 71. Let k be x(-9). Let r be 63\/147*(15\/6 + k). Let o = 0.203 + 0.007. Which is the nearest to -1? (a) r (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-7 - (-1 + -4)). Factor -2\/11*w**3 + 0*w + 0 + 0*w**f - 2\/11*w**4.\nAnswer: -2*w**3*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11*p + 14562 = -8*p, 5 = -p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351504 and 1504?\nAnswer: 33041376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12 - (-3)\/(-18))*634718. Let m = l + 137359. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9288826 by 113.\nAnswer: 82202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*r**2*v**2 + 154*r**2 + 21*r*v**3 + 5*r*v + 2*v**3 + v**2 wrt v?\nAnswer: 80*r**2 + 126*r*v + 12*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 94. Solve 4*n + 6 + a = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-10026)\/28)\/(-3))\/(5400\/210) - 4 and 34\/27?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58717.12 millilitres?\nAnswer: 58.71712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7791\/2 - -3897. Find g, given that 5\/4 - h*g + 1\/4*g**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*r + 3*r + 21*r to m + l*r and give l.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/6 - 35\/6. Let s = 8 - -2. Let d = s - 7. Put b, -3\/7, d in ascending order.\nAnswer: b, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 10) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5331.002l to millilitres.\nAnswer: 5331002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254384 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/(-696))\/(5\/(-180))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103196879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-4536)*777)\/(-2*(-2)\/(-18)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 602 = -2*r, -753 = -2*d - 3*d + 2*r. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -19*y**6\/720 - 7*y**4\/12 - 38*y. Let n(x) be the third derivative of h(x). Let q(j) = -j. Determine q(n(d)).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**2. Let w(x) = 201*x + 4. Let q(n) = -71*n - 1. Let h(i) = -17*q(i) - 6*w(i). Give r(h(y)).\nAnswer: 17*y**2 - 238*y + 833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*o**(1\/2)*o*o))\/o**(-4\/7)*(o*(o**(-3)*o)\/o)\/((o*o**(-5)*o*o)\/o) assuming o is positive.\nAnswer: o**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 17*j + 13. Let f be r(16). Let n(x) = -1 - 2*x - x + 2*x. What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 (base 6) in base 9?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37806237?\nAnswer: 3, 7, 200033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 7*x**4\/6 - 7*x**3 - 3*x**2 + 5. What is the units digit of p(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42.2, 1\/4, -0.01, -2\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*u = -179 + 174, u + 9 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*s - 99 = -71, -2*s = 7*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let h be q(1). Suppose 0 = -w - 0*w - f + 7, -2*f = -w + h. Suppose -w*p + 10 = -90. What is the remainder when 77 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -351374 <= -15109104\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1450 - 4351\/3. Which is the nearest to -1\/3? (a) d (b) -1 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31891, 127568, 287037, 510304, 797375, 1148256, 1562953?\nAnswer: 2041472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 5*t**2 - 5*t**2 + 13*t**2 - 9*t**2.\nAnswer: -6*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 4*c**3\/3 + 7*c. Let i(t) = -2*t**2. What is i(u(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*r**(-1\/8)\/r)\/((r*r**(-3\/5)*r)\/((r*(r\/r**(1\/4))\/r)\/r)) assuming r is positive.\nAnswer: r**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let c(o) be the first derivative of 2*o + 0*o**3 + 2 - 1\/4*o**4 + 0*o**2. Let l(q) be the first derivative of c(q). Determine l(g(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14745.81076014865 take away -3?\nAnswer: -14742.81076014865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187947637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - o - 3*o)*(0 + o**3 + 0).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, 0.2, 9, -2\/9, 2 in ascending order.\nAnswer: -15, -3, -2\/9, 0.2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-12)\/(-4) - 1). Let g be (10\/5 + x)*169. Suppose -b = -r - 173, -2*b + 5*r + 171 + g = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmn when three letters picked without replacement from mmnfmmmmmmnnccnm.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204 - 20421210?\nAnswer: -20420001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1840 and 36110.\nAnswer: 288880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1551 + 16*v**4 - 1551 + (0*v + 2*v - 8 + 5)*(-v**2 - v**3 + 2*v - 7*v**3 + 7*v**3) to the form n*v**3 + h*v + m*v**2 + t*v**4 + g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.377214 millennia in decades?\nAnswer: 137.7214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k*k*(k*k*k*k\/(k\/k**(-3)))\/k)\/(k**(-4\/11))**(-2\/27) assuming k is positive.\nAnswer: k**(1774\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -23. Let u = 11\/117 + -5777\/468. Find the common denominator of (2 - w)*(-114)\/(-8) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v + 10. Solve -2*l = 2*k - 10, 8 = v*k + 4*l - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 15*c + 28 - 53.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 588132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*w + 203*w + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -27*z + 29*z. Let b = 0.04 + 0.96. What is the closest to 1 in b, z, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 0*y + y)*(2 - 2 + y**3) - 89*y + 89*y + 16*y**4 in the form s*y**2 + h*y + t + f*y**4 + a*y**3 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 382810289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27175.01031 less than 262?\nAnswer: -26913.01031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -218193 bigger than -218192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j. Let c(g) = -124295*g - 2. Determine y(c(a)).\nAnswer: -994360*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*p - 179*p + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 46 + 50, -7*w + 30 = -3*o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, 2, -0.3, 144 in decreasing order.\nAnswer: 144, 2, 0.2, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129564670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.55 + 7.95. Let q = -3956\/13 - -304. Put -0.4, q, g in decreasing order.\nAnswer: g, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005995484 rounded to six decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-1 - -1) + 25 + -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -437 + 445. Solve -6*s - 56 = a*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i**3 + 11*i**2. Let k(r) = 9*r**3 + 2*r**2 + 2*r + 2. Let m(q) = 27*q**3 + 5*q**2 + 7*q + 7. Let h(j) = 7*k(j) - 2*m(j). Give -4*c(u) + 11*h(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/2 - 2*o**2 + o - 38. Calculate the remainder when n(-11) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 262 (b) -2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99\/4 in -2, -0.06, -14, -2\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -134, 4028.\nAnswer: -134, -5, -3, 4028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5551 (base 10) to base 12\nAnswer: -3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5577 = -1388*p - 4139 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.2445.\nAnswer: 1.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 575904 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 43222315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.3372l to millilitres.\nAnswer: 53337.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -5. Let o(q) = -q**3 - 7*q**2 - 2*q - 4. Is 6 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let t(z) = 4*z + 242. Calculate -6*l(m) - t(m).\nAnswer: 2*m - 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 28 - 26) + -16 + -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8293*l**2 - 3*l - 512.\nAnswer: -16586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/8, -725, 0.5, -1\/7, -24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5, 0 = -m - 4*m - 3*y - 40. Let z be (-1 + 2 + -11)\/(-1). Suppose -2*b = 3*b + 4*q + 31, 0 = -2*b + 4*q + z. Sort m, 0, b.\nAnswer: m, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -92*t - 428. Let c be z(-6). Let j(y) = -6*y**2 + 3*y - 1. Let p be j(-3). Let x = c + p. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136*i - 7*i**3 - 2*i**2 + 136*i - 2*i**3 + i**3 + 2*i**3 + (-i + 2*i + i)*(0*i**2 + i**2 - 3*i**2).\nAnswer: -10*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84\/53 + -199\/159. Suppose -3*j + 19 = 5*f, -10 = -2*j - 0*j - 2*f. What is the nearest to g in j, -1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/((-54)\/(11772\/37387)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 12*r = 136 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wed when three letters picked without replacement from {i: 11, e: 2, d: 2, w: 5}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3319680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*v - 51413 = 240*v - 2287 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 838066740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2684*p + 23159640.\nAnswer: -4*(p - 2765)*(p + 2094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/18)\/((-4)\/(-56)). Is 3 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -x + 2*j + 3*j, -x + 3*j - 5 = 0. Let z(l) = l - 3. Let k be z(x). Sort -2, k, 5.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 23022?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/15 - 2*r**3\/5 + 74*r**2\/15 - 22*r\/5 - 48\/5 = 0. Calculate r.\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2177766, 2177788, 2177798, 2177790, 2177758, 2177696, 2177598?\nAnswer: 2177458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 322, 590, 890, 1228, 1610, 2042?\n\"Answer: c**3 + 10*c**2 + 231*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -4*n**3\/3 + 456*n**2 + 2476. Determine u, given that y(u) = 0.\nAnswer: 0, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930816?\nAnswer: 2, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-15)\/12*(-231)\/(-14)*2912\/(-1560).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6351 divided by -6351?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f, 5 = -4*r - 0*r + 3*f. Solve -r = 2*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3769*f*h**3 - 36*f*h - 4*f + h wrt h.\nAnswer: 22614*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8908.2 - -8908. Which is greater: 48 or m?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187652.\nAnswer: 2, 43, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 342.88 times 28.6\nAnswer: 9806.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 621 = 419. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 23 + 43. Let a = -38 - b. Let i be 18\/(-20)*a\/(-6). Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70074633*h**3 + 30993114*h**2 wrt h?\nAnswer: 420447798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxxxqxqmxqmqxllx. What is prob of picking 2 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2323234?\nAnswer: -2323240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 14*p**2 - 11*p + 13. Give d(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**7\/2520 + 7*x**6\/720 - x**5\/60 - 5*x**4\/6 + 13*x. Let q(a) be the third derivative of n(a). What is q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/28)\/(6 - 32\/7)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 - 19*z + 14. Let x be w(-10). Suppose 5*q + j = 4*j + 36, -5*q + x*j = -38. Suppose -49*n - q = -51*n. Solve 4 - 16 = n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1365 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.37703cm?\nAnswer: 443770.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and -91\/21214.\nAnswer: 84856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 1 - (-25 + 18 + 13) - -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 7.49?\nAnswer: -2.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8801889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1004*p - 557*p + 2110*p to the form f*p + g and give f.\nAnswer: 2557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**(-22\/9))**(-32) assuming u is positive.\nAnswer: u**(-704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 - r**5\/60 + 5*r**4\/12 + 29*r**3\/3 - 103*r**2. What are the prime factors of k(-6)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/7)*o*o*o**(-4))\/(o\/o**1)**(-10\/3))**50 assuming o is positive.\nAnswer: o**(-650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 30*r**2 - 13*r + 47. Does 3 divide n(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52183, 208719, 469601, 834829?\nAnswer: 1304403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-2*y**4 + 5*y**4 + 11*y**4).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5*(-4 + 3)). Which is the second biggest value? (a) -0.1 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1685580 or -1685587?\nAnswer: -1685580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.7 + -159. What is the closest to -0.1 in z, 0.05, 0.7, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -364 (c) 2\/219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323569820 to the nearest integer?\nAnswer: 17988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*v + 2 - 63*v + 144*v.\nAnswer: 255*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 89 = i - 17, -5*i - 80 = 5*j. What is the remainder when (-354)\/(-4) + j\/28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000513 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1*(-1)\/(-11)). Calculate the highest common divisor of m and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o - 4. Let l(f) = -9*f - 12*f + 99 - 104. Let c(p) = -4*l(p) + 5*w(p). Let t(v) be the second derivative of v**4\/12 - v. Determine c(t(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -27\/2, 0.1, -185.2, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 66 = -4*u + 3*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/476 and 49\/5703970.\nAnswer: 1357544860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -102159\nAnswer: -51079.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(19)) + (sqrt(228) + sqrt(228) + sqrt(228)*-1)\/sqrt(12) - ((-3*sqrt(190) - sqrt(190))*2 - sqrt(190))\/sqrt(10))**2 + -2.\nAnswer: -36*sqrt(19) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-36)*(-26)\/(-65)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-1 + 0 + 0)*(0*f + 0*f + 6*f) + 11 - 11 + 19*f + 4 - f - 4.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448911 or -448907?\nAnswer: -448911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwf when three letters picked without replacement from fxfwffffxfxwaw.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7572 is divided by 1081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 20*n**2 + 17*n - 33. Let s be o(-19). Suppose -s*r - 9 = 4*i - 33, -3*i + 3*r = 9. Is i greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 51 = 2*h. Suppose -c = 4*a - h, 5*a - 1 = -5*c + 24. Suppose 4*b - 4*x - 48 = 0, -4*b - 3*x + 63 = -a*x. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*v + 1 = -0, 0 = 3*v - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*t - 22 = 20, 0 = -t + 634 - 637 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = 2*o + 15, -o + 5*v - 25 = 0. Which is the fourth biggest value? (a) 2 (b) 3 (c) -1\/10 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55026 by -2.\nAnswer: -27513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 532 and 196.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 11. Let j(p) = p + 3. Let h(z) = -9*j(z) + 2*l(z). Let w be h(5). Suppose w*q - 12 = -2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1233*i**2 + 64*i + 67. Determine h(-1).\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6 - 5*t**3 - 1070*t**2 - 6 + 1076*t**2 + 2 + t. Let q(r) = 11*r**3 - 13*r**2 - 2*r + 21. What is -13*j(w) - 6*q(w)?\nAnswer: -w**3 - w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -9740\nAnswer: -23\/9740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(11))**2 - 3*(0 + sqrt(11)) - (sqrt(11) - sqrt(33)\/(sqrt(27) + sqrt(3)) - (4 + (2*sqrt(11))**2)).\nAnswer: -15*sqrt(11)\/4 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 610, 971, 1364, 1789, 2246?\nAnswer: 2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 18*i**3 + 44*i**2 - 64.\nAnswer: 2*(i - 1)*(i + 2)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-43*v**3 - 4*v**4 + 43*v**3)*(2 - 4 + 1) in the form z + x*v**4 + m*v + q*v**2 + p*v**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + (-633)\/12. Let m = 84 + x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 2498207?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (-20)\/30*15 - 19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -2*sqrt(209)*2 - sqrt(209))\/((2*sqrt(110))\/sqrt(10)))**2 - (sqrt(152)*2*-4)\/(-4*sqrt(128)).\nAnswer: -sqrt(19)\/2 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 258*z - 478. List the prime factors of p(19).\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -1.99. Let q = t - 5.4. Let z = -7 - q. Which is the second smallest value? (a) -2\/7 (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46317 = -z - 3*z + w, 0 = -z + 5*w - 11565. Round z to the nearest one hundred.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from krkkkkulzkrr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:12 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*sqrt(300)\/(-4*sqrt(10)))\/((sqrt(10) - sqrt(50)\/sqrt(5))*2 - (sqrt(10)*-1*-2 + sqrt(10))) + 2.\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215\/(-100) - 164\/(-41)*1\/10.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*l - 215*l - 218*l - 224*l - 232*l + 1098*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a + 4. Let v be b(-7). Let i = 15 - v. Let r be 1\/(-12)*3*32\/(-8). Let m(w) = -w**2. Let h(s) = 3*s**2. Calculate i*m(f) + r*h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-66)\/(-396)*366\/(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 14, 2\/5, -3\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767.9 - 0.0980267?\nAnswer: 2767.8019733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -6, -4, 6\/343, -2\/3, -11?\nAnswer: 6\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*b**2 + 272 + 14*b**2 + 13*b**2 + 12*b**2)*(-3 + 3 - 2).\nAnswer: 4*b**2 - 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -14. Let f = a - 8. Suppose k + f - 2 = 0. Solve -5*x - 3 = k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*n - 352 = 0, 4*n = -5*j + n + 612. Let a be 6\/(-2) - (-15 + j\/10). Solve a*w + 3 = 3*v - w, 0 = 3*v + 5*w - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 = -5*r, 5*r - 1 = 4*n - 3. Let u(w) = 14*w**2 + 3*w + 4. What is the lowest common multiple of u(r) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.766*-2.\nAnswer: -55.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 172\/16)\/(((-342)\/(-48))\/1). Which is the closest to -2\/19? (a) -4 (b) 3 (c) -2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24866 + -ca?\nAnswer: -24963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + 2. Let l be z(2). Let n be 2293\/(-8130)*11 - l. Let w = n + 2\/813. Find the common denominator of w and -11\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.21, 0.09, -9\/109, 2, 1 in ascending order.\nAnswer: -5, -0.21, -9\/109, 0.09, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - n. Let b be g(-1). Let f(y) = -y**3 + 5*y**2 + 2*y - 2. Let u be f(b). Suppose -4*q - u = -4, -2*l = -5*q - 175. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 6 - 11 + 17 - h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 6*k + 7. Let s be m(-5). Let r = 12 - 7. Suppose 18*p = 45 + 81. Solve -r*u + 5 + 5 = s*b, -2*u - p = 3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -2*x + 6*x, -5*g = -4*x + 17. Sort 0, g, 10, -2.\nAnswer: -2, g, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 6*q**2 - 6*q - 4. Calculate g(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3735 is divided by 923?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2138 - -5510. Let y = k + -2248. List the prime factors of y.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 1905. Let f = -186 + k. What are the prime factors of f?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 4, 0 in decreasing order.\nAnswer: 15, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 7. Let r be t(-1). Let p be -80 - (40\/r - -5). Let u = -73 - p. Solve u*b + 17 = -3*z, 13 = b + 5*z + 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 16*o**2 - 4*o + 67. Let q be h(16). Solve -q*p = -13*p + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a + 17*a - 68 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344499 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 74a (base 11) to base 12\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 - 16861\nAnswer: -16907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 7 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 8, 8*l - 3*l + 2*i + 33 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b + 1. Let y(a) = -1450 + 4*a + 1454 + 249*a**2 + 4*a + 91*a**3. Let l(t) = 4*k(t) - y(t). What is the third derivative of l(p) wrt p?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 17*a - 964. What is s(20)?\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33*8*(-9)\/(-864)*6\/3*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 0*s + 4*s)*(-s - s + 4*s) - 33*s - 147*s**2 + 62*s - 29*s.\nAnswer: -151*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*o - 208*o + 2232855 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 25. Calculate a(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -656852*w**5 - 751569*w?\nAnswer: -13137040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - -2.96. Sort -3, z, 0.3 in descending order.\nAnswer: z, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-142)\/(-4))\/(1 + 925\/(-930)). Suppose 8*j - q = 2333. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 j when four letters picked without replacement from jmmmmj.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 - 4935*l - 9850 = 0.\nAnswer: -985, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1599507 divided by 1\nAnswer: -1599507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -55.2. Let j = n - -3.9. Let k be ((-2)\/6)\/((-14)\/12). What is the closest to 2\/7 in -5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256 a factor of 914056880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116104642 is divided by 58052315?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -587*b**2 - 2*b + 2*b + 584*b**2. Let v(k) be the second derivative of k**4\/3 - 2*k. What is s(v(d))?\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 48*h + 2 - 54*h - 2 + 7*h. Let o(r) = -15*r - 1. Give -3*d(c) - o(c).\nAnswer: 12*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*y - 20 - 5, 0 = 2*w - y + 4. Let m be 1\/((72\/9)\/8). Let j be 4 + w + 0\/2 + m. Solve -2*u + j = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) - -2)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114430181 divided by 4?\nAnswer: -114430181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + sqrt(2880)*3)\/sqrt(9).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-27) - 6\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*q**5 + 14*q**5 + 26*q**5 + (q + 3*q - 2*q)*(-7*q**4 + 0*q**4 - q**4).\nAnswer: -61*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 60*m**2 - 276*m + 288 = 0 for m.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)*u)\/u)\/(u*u**(-1\/6)))**(-5)*((u\/(u\/(u*u*u*u**(1\/13)\/u*u*u*u)))\/((u*u**(2\/17))\/u))**28 assuming u is positive.\nAnswer: u**(216173\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37678*f**5 - 14*f**4 - 318575*f.\nAnswer: -753560*f**3 - 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/120 - l**4\/24 + 4*l**3\/3 - 2*l**2. Let h = 1 - 1. Is 4 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 85*b**3\/3 + 775*b**2\/3 + 625*b.\nAnswer: b*(b + 5)**2*(b + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + f + 1. Let d be i(-1). Let a(h) = -6*h - 2. List the prime factors of a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*d**5*g + 17*d**4*g + d**2*g + 304*d**2 + 2*d*g + 113*d - 2*g wrt d?\nAnswer: -9000*d**2*g + 408*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737880 divided by 430.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90216 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92156 from 3.8677932.\nAnswer: 92159.8677932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5195716*i*p**2 - 1141485*i wrt p?\nAnswer: -10391432*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*h - 35815 = 78*h - 151385. Solve -8 = 459*p - h*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**2 - 3. Let o(x) = -10*x**2 + 1. Let j(b) = 2*o(b) + 3*y(b). Let z(t) = 9*t**2 - 8. Determine 6*j(d) - 5*z(d).\nAnswer: 15*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -493236 and -493120 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25\/(-15)*(-4 - (-6 + 230)) and 38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*u**5 + 521363*c**3*u**2 + 2*c**3 + 9*c**2 - c*u - 2425*c - 1 wrt u.\nAnswer: -40*c**3*u**3 + 1042726*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 less than 2.91?\nAnswer: -270.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -23*t - 91. Let f be u(-19). Let w = 369 - f. Let o = 34 + 4. Calculate the remainder when o is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = 2*i + 38*h - 136, 0 = 3*i + 4*h - 224. Suppose -4*m + i = 32. What is the smallest common multiple of m and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 143947208.805?\nAnswer: 143947205.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 63. Let i be 76\/(-114) + (-4)\/l*-4. Let d(m) = -m**2. Give d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194318?\nAnswer: 2, 97159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1359.54 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 773520, 1547041, 2320556, 3094065, 3867568, 4641065, 5414556?\n\"Answer: -3*y**2 + 773530*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 5*n + 4*q, -3*q - 415 + 316 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 - 9*f - 2. Let m be x(-8). Solve -3*a + 2*w + 10 = w, 5*w = a + m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255626 + 597.071?\nAnswer: 1256223.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 28 = -2*v, -9*n + 29 = 3*v - 10*n. Let s(x) = 2*x**3 - 3*x**2 - 25*x + 1. List the prime factors of s(v).\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from aaaooaaaoaaaoa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25589?\nAnswer: 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -4, -3 in descending order.\nAnswer: 58, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11*r - 16*r = 626, 3*r = 2*x - 1280. What is the highest common factor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 19*i**2 - 5*i + 5. Let g(c) = 3*c**3 - 19*c**2 + 4*c - 4. Calculate 5*g(l) + 4*k(l).\nAnswer: -l**3 - 19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 13. Let f be y(-3). Let g be 12\/f*-1*76. What is the highest common factor of g and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2))\/(((k*k**(-2))\/k*k)\/k)*k**4*k**(-2\/7) assuming k is positive.\nAnswer: k**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2 + 36*s - 40*s - s**2 + 5. Suppose o + 15 = -2*q - 2*q, -5 = 4*q + 3*o. Let u be y(q). Put 5, 1, u in decreasing order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 1. Let a = -136 + 139. Let c = -2 - -1. What is the nearest to c in a, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 131, 192, 253, 314, 375?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -308.601 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/2)\/((-4)\/970). Suppose 1175 - j = 3*s. What is s rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2. Let g(c) be the first derivative of -c**5\/40 + 4*c**3 - 2. Let i(o) be the third derivative of g(o). What is h(i(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = -j + 3*w, 2*j - 52 = -4*w. What is the second derivative of 16*h + j*h**3 - 15*h**4 - 22*h**3 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13040306579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*l**5 + 5044*l**4 + 14004*l**3 - 128916*l**2 + 57024*l - 6480 = 0 for l.\nAnswer: -5, 3\/13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u - 4*u + 3*u. Let k(b) = 4*b + 3. Let a(t) = k(t) + 3*l(t). Let z(o) = -4 - 4 + 15 - 3*o - 14. Determine 5*a(x) + 2*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-2))\/(5106\/11063)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2 and 4935 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40047890 - 6075*o - 40047890.\nAnswer: -6075*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 255717.4 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.126 + 0.126. Let z = -97\/5 - -1271\/65. What is the closest to 3 in z, q, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + ((-34)\/(-4)*15\/(690\/92) - -14)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.162 - -0.003. Let g = 0.121 - a. Let m = g + 0.12. Put -1\/5, -1, m, 0.1 in increasing order.\nAnswer: -1, -1\/5, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.642827 seconds?\nAnswer: 4642827000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0) + (-3 - -5). Solve 5*l + 15 = 5, -l + d = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50755, -50757, -50761, -50767?\nAnswer: -50775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11)*176\/(-96)*-69\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8597 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajo when three letters picked without replacement from jaoajajao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 18000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47357.12341 - 47356. Let a = -0.21131 + w. Let b = -0.91 + a. What is b rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/61? (a) 5 (b) 1\/161 (c) 16 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -595, -1179, -1761, -2341, -2919?\n\"Answer: w**2 - 587*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29807 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 868151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797853517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u + 4. Let v be p(3). Suppose -3*h + 0*h + v*r = 15, 0 = 2*h + 4*r + 10. Find the common denominator of -61\/10 and (-4)\/(-8) + (-56)\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 32. What is the third smallest value in 2, k, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 21, 8, -13, -36, -55, -64?\n\"Answer: a**3 - 13*a**2 + 33*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:46 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702383, -2809244, -6320695, -11236748, -17557415?\nAnswer: -25282708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (13 - -2)) + 7 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - (-6 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 127*n - 8 = -125*n, 17*w + 3*n = -56 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*l + 1793 + 982 = -2248*l for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - t + 30. Let p be 0\/(2 - (3 - 2)). Suppose p = -2*o + 3*o. Is 15 a factor of w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1\/5 - 43616\/3760.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3 - 11. Suppose -n*f - 8642741 = -45842741. Round f to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129363\/(-1819) + -26 + 98?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.103 + 3.9801. What is m rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*j + 13. Suppose 13*h - 54 = j*h. Solve -z - h = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.9192 + 0.0808. Let k = a + -111.707. What is k rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29157499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-228)\/(-14) + 2\/(-7). Let c(z) = 15*z**2 + 2*z - 1. Let p be c(1). What is the greatest common divisor of p and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1036)\/(-2997)*-18*(-6)\/91*(-6)\/(-4).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -4\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((1\/2)\/(-1)). Suppose 0 = -2*k + 238 + 70. Calculate the highest common divisor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 39. Let b = l - 32. Solve 3*q + 5*s - b - 3 = 0, q + 3*s = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -96 (b) 0 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4639, 6118, 7597, 9076?\nAnswer: 10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 18*m**2 - 4*m + 75. Let x be s(18). Determine w so that 394*w + 7*w**x - 3*w**3 - 394*w + w**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8339250 is divided by 94?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -21\/8 (b) -1 (c) -7 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**3\/3 - 6*t**2 - 7*t. Let h be j(-7). Suppose -10 = -g + h. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 204\/33) + (-6)\/(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 12 - -9) + 16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7 + (-1114)\/180)\/(6\/(-15)) and -109\/66?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:17 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 - 3*w + 10. Determine j(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/4 - 14*q**3\/3 - 6*q**2 - 9*q + 7703. Determine s(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47003, -14, 2\/17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {u: 2, s: 2, b: 2, k: 4, p: 2, f: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5857163.\nAnswer: 13, 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207335.\nAnswer: 5, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/7 - 422204*s\/7 - 6332835\/7 = 0?\nAnswer: -422189, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**2 - 7*n - 12. Suppose 4*m - p - 15 = 0, -5*m - 2*p + 3*p + 20 = 0. Let r(o) = -9*o**2 - 5*o - 8. Give m*c(b) - 7*r(b).\nAnswer: -2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 145004\nAnswer: -6\/36251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2 - 2)*0. Let d be (-3)\/(-1 + f\/7). Solve d*n + 3*v = 2*v - 1, v = 3*n + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 109. What is the greatest common divisor of 77 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 7*j + 10*j - 21, 0 = -49*j - 2*i + 7*i + 97 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/11 - 137694*y**4\/11 - 757484*y**3\/11 + 1583706*y**2\/11 + 964012*y\/11 = 0.\nAnswer: -7, -1\/2, 0, 2, 34429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(1116\/(-124)*1\/(-3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -779, -1751, -3103, -4829?\nAnswer: -6923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-2\/11))\/f*f\/(f*f**2*f))\/(f**(-1\/3)*f*f**(2\/11)) assuming f is positive.\nAnswer: f**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3143 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:01 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 84*o - 1045. Determine x(5).\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-1*5*sqrt(832)*4 + 2)*-1)**2.\nAnswer: -1920*sqrt(13) + 332836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 1. Let u = 231761 - 231755. Solve 4*z + u = -d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394 or 80\/87?\nAnswer: 80\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 17. Let t = 57 - 51. Calculate g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*s - 3*s - 4*s)*(-1 + 0 + 3) - s + 3*s - 4*s + 3*s + 3*s - 4*s)*(4*s**2 - 7 + 7).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g - 5. Let n(k) = k**2 + 29*k - 9. What is 5*c(z) - 3*n(z)?\nAnswer: -3*z**2 - 17*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 2 t when four letters picked without replacement from trururtrrdku.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 21170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**2. Let x(j) be the third derivative of j**4\/24 + 7*j**2. What is t(x(f))?\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/5, -0.1, -0.52, -3?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 62468693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2793))\/(-3*((sqrt(3) - sqrt(9)\/sqrt(3)) + sqrt(3))))**2.\nAnswer: 3724\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 smaller than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3. Let x(w) = 4*w + 13. Let m be x(-3). Let f(l) = -7*l**3 - l**2 - 1. Determine m*f(g) + 6*r(g).\nAnswer: -g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let u be (0 - -1)\/1*9. Let b be u - (10 + 0 - -5). Sort -2, b, l.\nAnswer: b, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 4542969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98479075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 + n + 2. Let j be c(0). Let w(q) = -1 + 3*q**2 + 4 - 2*q**2 - 4. What is w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + 4 + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/1447 + 1449\/2894. What is the fifth biggest value in v, -5, -3, -0.3, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83 + -82)*1\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:13 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/46315 and 10\/1099.\nAnswer: 324205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 771938023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let h be 1\/(-5 + (-2428)\/(-486)). Let l = -126 - h. Let p(y) = -l*y + 117*y - 10*y**2 - 7*y**2. Calculate p(z(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1*6 + sqrt(76) + sqrt(76) + sqrt(76))\/(sqrt(32)\/(sqrt(16)\/sqrt(2))) + (sqrt(38)\/(sqrt(6)\/sqrt(3) + sqrt(2)) + -4)*2*-2.\nAnswer: 16 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (-2 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/36*29\/((-1740)\/96)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1084281900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 512 and -220.55.\nAnswer: -112921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z)**39 assuming z is positive.\nAnswer: z**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, 0.05, 15\/4, -1.7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -88 + 25. Suppose 15 = 4*y - 5*m, 5*y + 3 = -d*m + 8*m. Solve -31*v + 27*v - 16 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18806?\nAnswer: 2, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 5*f**2 + f**3 + 13*f**2 + 4*f**2 - 6*f in the form j*f**3 + d*f**2 + a*f + c and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.647 times 195990?\nAnswer: 518785.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -557152\/13 > -42859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.42. Let i = 0.92 - m. Put -2, 1, i in ascending order.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8939403 and 632?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**2 + 32\/3 - 34\/3*w.\nAnswer: 2*(w - 16)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1 - 2*l**2 + 5*l**2 + 1 + 4*l**2. Let i be t(-1). Are 8 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 11*t**2 + t - 10. Let o(b) = b**3 + b + 11. Let p be o(0). Let a be u(p). What is the tens digit of -5*(a + (-84)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100598609?\nAnswer: 139, 397, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - -5 - (-247)\/19. Let q(p) = f*p**2 + 6*p**2 - 298 + 298 - 5*p**2. Let n(c) be the first derivative of c**3\/3 - 1. Give n(q(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i - 1. Let c be (10\/(-15))\/(4\/6). Let r(y) = -5*y**2 - 3*y. Let k(f) = c*r(f) - 2*x(f). Factor k(h).\nAnswer: (h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 2*u + 8. Determine v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -8. Suppose 70 = 8*o - 3*o. What is the greatest common factor of z and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:19 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 260, 393, 526, 659, 792?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 11*c**2 + 10*c - 6. Let j(m) = m**3 - 12*m**2 + 11*m - 7. Let h(s) = 5*j(s) - 6*u(s). Let k be h(5). What is the nearest to k in -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11725, 26983, 42241, 57499?\n\"Answer: 15258*l - 3533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22.7, 1, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 8*m + 3. Let x be y(-8). Let v = x - 1. Let n(g) = g - 2 - 3*g**2 - g**3 + 3*g**v - 2*g**2. Give n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*j - 149*r + 144*r, -4*r - 14 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -257153025 divided by -5?\nAnswer: 51430605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -171294975.6 to the nearest ten thousand.\nAnswer: -171290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 292 = -x + 728, 5*j = -5. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2228559118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 454+1010\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.3, -1, -1\/3, 119299, 0.4, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64561006 + -2?\nAnswer: 64561004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 241665404089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 26*f**3 - 2*f**2 + 1. Let p be r(1). Let a be 20\/p*(-20)\/(-8). Suppose 3*s + 3*j = 0, -a*s + 2*j + 11 = -1. Let k(b) = -3*b. Determine k(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let o be z(-4). Let w(v) = -v**3 + 3*v**2 + 6*v - 4. Let b be w(o). Let g = 54 - 39. Solve x = b*x + g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**3 + 1\/112*z**8 + 0*z + 0*z**4 - 2*z**2 + 0*z**7 + 0*z**6 + 0 + 1\/60*z**5. What is the third derivative of f(n) wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 48*h - 19 = 4*b, -5*h - 5 = 5*b. Let y(i) be the second derivative of 0 - i - 7\/6*i**3 - 7\/2*i**2 - 1\/12*i**4. Determine y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22546957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 76*x + 116216. What is g(-381)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 94.77. What is l rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -191, -290, -389, -488?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(6\/11)*i)\/i*i**(-2\/11))**(-2\/5))**(-10) assuming i is positive.\nAnswer: i**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*a + 46*a + 3*a**2 - 2*a**2 + 3*a**2 - 50*a.\nAnswer: 4*a**2 - 120*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11343 - -11361. Put 3, 4, -3, s in decreasing order.\nAnswer: s, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2676740.83 to the nearest one hundred.\nAnswer: -2676700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/4, -7, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 14\/11, 2\/5, 0.02538?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7707459*t**5 + 1775434*t**2 + 1?\nAnswer: -462447540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -475 (b) 2 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -40. Suppose -30 = -u - 5*x, -2*u + 0*u + 30 = 4*x. What is the remainder when z is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/106 + -209\/318. Suppose 5*f = -0*f - 10. Is s < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 11, t: 4, n: 1, h: 2}. Give prob of picking 2 j.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*y + 111, 5*r + 65 = 3*y + 265. What is the remainder when r is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 70632.969441521.\nAnswer: 70633.969441521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28514597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -167a1 - -175?\nAnswer: -1662c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o - 422361 = -422121 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52 + 1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (sqrt(343) + 1)*-1 + (0 + sqrt(343) + sqrt(343))**2*4.\nAnswer: 5487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/6 - 7*x**2\/2 - 10*x. Let n be o(3). Are 0 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 - 30*v - 9. Is o(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8147 + -0.0313. Let x = -0.046 - f. Which is the nearest to x? (a) 0.1 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -10*u - 3506475. Suppose 4*t + 2*o = 133610, -2*t - u = -7*t + 5*o. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055546?\nAnswer: 2, 521, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(18)\/sqrt(216))**2 + 0)*-1.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 5. Determine b(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*i**2*u - 53*f*i*o**2 - 220*f*u**2 + 2*i**2*o**2*u**2 + 3*i**2*u**2 - 4*i**2*u - i*o**2 wrt u.\nAnswer: -440*f + 4*i**2*o**2 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s - 1. Suppose -4960000 = r - s*r. Round r to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -5*j**4\/4 + j**3\/2 + 60*j**2 + 225*j. What is the derivative of c(k) wrt k?\nAnswer: -30*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 2*k - 22 = 0, 4*r - 5*k = 41. Let c(s) = -2*s + 1. Let f be c(-2). Let m = f + r. Solve 2*y - 4*q = m + 1, -4*q = -3*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -1, 2\/19, -2, -3, 0.03, 0.83?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 37 = -153*n + 90. Sort 75, n, -36.\nAnswer: -36, n, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 2. Let o be b(-6). Find the common denominator of (170\/6)\/(o\/12) and ((-2)\/10)\/(6\/(-1395)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Let f be u(-2). Suppose -4*d + 7 = 3*j, 19 = f*j + 2*d - 2. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32881091.15 rounded to the nearest one hundred thousand?\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-15)*(-24)\/308?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**8\/40320 + q**6\/90 - 67*q**5\/20 - 316*q**2. Let g(u) be the third derivative of s(u). Factor g(o).\nAnswer: -(o - 4)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - 15*s - 20*s as t + w*s and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u**3 - 2)*(-729*u**2 + 1454*u**2 - 13 - 727*u**2 + 4*u).\nAnswer: 4*u**5 - 8*u**4 + 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 408*p + 20808 = 0. Calculate p.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, -21, 1, 4, -41 in ascending order.\nAnswer: -41, -21, -13, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 71*g**2 - 20*g - 4. What is h(2)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 1, l: 5}. Give prob of sequence tl.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 71. Calculate the greatest common factor of t and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 - 102. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let g(t) = -t**3 + 4*t**2 - 4*t + 3. Let x be g(2). Suppose -a = -2*h + x*a + 10, h + a + 7 = 0. Put -2, l, h in descending order.\nAnswer: l, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*v = 4*l - 206, -302 = -3*l + v. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -336, -1350, -3016, -5310, -8208, -11686, -15720, -20286?\n\"Answer: 4*j**3 - 350*j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-5 + sqrt(72)))*3 - sqrt(72) - (sqrt(72) - ((sqrt(72) - (sqrt(72) - ((sqrt(72) + -5 + sqrt(72) - sqrt(72)) + sqrt(72)))) + 4)))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939566 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2086226*t**3 - 2*t**2 + t - 2224 wrt t?\nAnswer: -12517356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a factor of 12607728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11715 - 11711. Solve -g + 3*q = p, 0 = -g - 27*q + 29*q - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x**2 + 3*x - 5. Let t be v(-4). Let c = 2942\/17 + -173. Is c < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3, 2\/11, -186\/13?\nAnswer: -186\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 9*w**2 + 11. Let t(m) be the third derivative of m**6\/60 - m**5\/12 + m**3 - 15*m**2. Determine -4*q(v) + 7*t(v).\nAnswer: -2*v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -135 - 201. Let u = 142 - p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(165)\/(1*sqrt(5)) - sqrt(528)*-1))\/(((sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3))*-1) + sqrt(11) - sqrt(11))*-5*-4).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11396*u - 1 - 5*u**2 + 55669*u + 0*u**2.\nAnswer: -5*u**2 + 44273*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 5. Let j(t) = -14*t**3 - 6*t**2 - 18*t - 10. Let u(b) = -b**3 - b**2 - b - 1. Let l(f) = v*u(f) - j(f). Factor l(c).\nAnswer: 2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51216 and 16368?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506345 and 1034586.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:00 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 96, 208, 374, 600, 892, 1256?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**3 + 62242*r - 3265780 with respect to r.\nAnswer: 30*r**2 + 62242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(84) + sqrt(84))*-1)\/sqrt(6))\/(-2*sqrt(288) - (1*sqrt(8) + sqrt(8))).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (28356\/2 - -1)*(11 + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -175\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**2*z - 2*l**2 + 2*l + 64*z - 1 with respect to l.\nAnswer: -14*l*z - 4*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23558.596131 - 0.609869. Let a = -23591 - j. Let d = a - -32. Round d to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-2)\/4)\/(5\/30). Let f(c) = c**3 + 3*c**2 - c. What is f(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425\/4 + -107. Which is the third biggest value? (a) j (b) 0 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4308, -8615, -12922?\n\"Answer: -4307*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -2*n**7\/105 + n**5\/20 + 20*n**2. Find the third derivative of r(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -28. Suppose -3*j + 10*d = 5*d - c, 5*d = -4*j - 14. What is the tens digit of j\/7 + 212\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*-1270\nAnswer: 41910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24256*v - 12152*v - 12132*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0 (c) 3\/112 (d) 4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11054.\nAnswer: 2, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 2. Let c = 193 + -191. Let z = 28 + -17. Let f(t) = -10*t + 11. Let d(m) = c*f(m) + z*s(m). Let x(h) = -h. Determine d(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 421, 0.27, 2\/3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*v - 2*r + 11, 2*v = 4*r - 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/42 + 4*i**3\/63 - i**2\/21 + 5. Suppose a(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 times 59417?\nAnswer: -20795.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0621383 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17 in 1\/3, 3, -2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -8080?\nAnswer: 31\/8080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - -1.2. Let p = 1.5 + y. Sort p, 0, 1\/3 in decreasing order.\nAnswer: p, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302030 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let l(k) = 2*k + 1. Suppose -25 = -7*c + 17. Let i(y) = c*s(y) - l(y). Let x be -3 - (-31)\/11 - 120\/66. Determine i(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60407 + 0?\nAnswer: 60407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21819, 43639, 65459, 87279, 109099?\n\"Answer: 21820*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x. Let n(h) = -25*h. Let c(a) = -3*n(a) + 8*z(a). Let j(t) = 12*t + 18*t + 15*t + 8*t - 55*t. Calculate c(j(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o + 1093 + 507 + 198. Suppose 16*u - 12*u = 40. What is the smallest common multiple of u and o?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5081730?\nAnswer: 2, 3, 5, 233, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1395, 2856, 4309, 5760, 7215, 8680?\nAnswer: 10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*o**3*x**4 + 4*o**3*x**3 - 1676*o**3*x + 24*o*x**4 + o*x**2 - 2 wrt x.\nAnswer: 312*o**3*x + 24*o**3 + 576*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 33*c - 38. Let b be a(2). Let m be (-8)\/(80\/(-345))*8\/6. Let u = m - 32. Calculate the greatest common factor of b and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - w**2 + 0)*(-3*w + w + 4*w)*(-14 - 88 + 939) to m + j*w**3 + r*w**2 + u*w and give j.\nAnswer: -1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (3 + 4)*-7. Let y be (-109)\/(-3)*105\/49 - (-6)\/42. Calculate the greatest common factor of l and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 25, 2*t = q + 7*t + 24. Let w be q - 2 - (-2 + 2). Let f be ((6 + 1 - 1) + w)*1140. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/6)\/((-2)\/(-3)). Let j(r) = -r**3 - 11*r**2 - 11*r - 6. Let c be j(-10). Solve -m - 4*k + 11 = 0, 5*k - 15 = c*m - n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*z**3 + 248*h*z**3 - 11*h + 14188*z**3 - z - 2 wrt h?\nAnswer: -4*h*z**3 + 248*z**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 57*t**2 + 9*t. Let h(c) = -15*c**2 - 5*c**2 - 4*c**2 + 38*c**2 - 8*c**2. What is b(h(m))?\nAnswer: 2052*m**4 + 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139722418 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 503882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10010000011001100011110?\nAnswer: -10010000011001100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 2 = -12*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6 = 0, 0*z + 4*z + 3 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:27 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/5, 2\/143, -2\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 + -148. Let r = i + -196. Let p = r - -96.3. Round p to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 2*x**3 - x**3)*(-5*x**2 + 6*x**2 - 4*x**2).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 1 (c) -3\/14 (d) -4 (e) 541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 13 = -5*v. Let c = 14 - v. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*v + 3*u, 71 = 4*v + u - 34. What is the common denominator of 23\/16 and (-87)\/122*((-204)\/v + 7)?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1203 + 1231. Solve 4*o + 8 = 2*j, -30*o + z*o = 4*j + 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/139 and 69\/4.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*a**5*j + 12128*a**5 + a**2 + 114*a*j + 811*a + 34*j - 1 wrt a?\nAnswer: -4000*a**3*j + 242560*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3349 + 3351. Put m, 7, -1, -5, 4 in ascending order.\nAnswer: -5, -1, m, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a)*(-a - 3 + 3) - 2*a**2 + 4*a**2 - 19*a**2 - 3*a**2 - 1 + 11*a**2 - 10*a**2 + (4*a**2 + 2*a**2 - a**2)*(4 - 1 - 5).\nAnswer: -27*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 41 = 1. Let d = 12 - q. Which is the second smallest value? (a) 1\/10 (b) -5\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2160)\/(-1026)*4902\/1935?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from jjeqjjqqjdm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 52\/39*(-159)\/(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3*p + 4. Calculate the remainder when 26 is divided by c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Suppose -u - u - 148 = -5*k, 3*u = 2*k - 68. Suppose k = d - q. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799.\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:20 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2091755 - 5?\nAnswer: -2091760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 - 8*g + 4. Let o be b(1). Solve -o*r = -6*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/30)\/((-4)\/(-10)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1449*p**3 - 15*p**2 - 32*p + 5. Let t(d) = 724*d**3 + 7*d**2 + 14*d - 2. What is 9*t(x) + 4*y(x)?\nAnswer: 720*x**3 + 3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 735\/(3 + 0). Let g = 365 - f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -10. Suppose -3*f + 0*f + 5*j - 29 = 0, -5*j + h = -2*f. Put 4, f, 1 in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**7\/70 + n**5\/6 - 6*n**2. What is the third derivative of o(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -920000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 1\/3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974112?\nAnswer: 2, 92941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:47 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 3648*n**3 - 1193883*n**2 + 71424900*n + 2317882500 = 0.\nAnswer: -1493, -23, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15499*b + 1. Let a be c(-1). What is a rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.574 + -1.62. Let h = c + -0.354. Which is smaller: h or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 16*w - 15. Suppose 5*x + 23 = -3*o, 2*o = -0*x + w*x + 18. Does 6 divide (-92)\/x + (0 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (116\/112 + (-21)\/28)\/(19\/57). Is m <= -205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31025407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001011100010 (base 2) in base 11?\nAnswer: 50a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*g**2 - 62*g**2 + 71*g**2.\nAnswer: -263*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/261, 7, 0.4, 0.3, 12 in decreasing order.\nAnswer: 12, 7, 0.4, 0.3, -8\/261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 18*d - 74. Let t be s(-13). Let v(k) = 3*k + 21. Determine v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/48*9)\/(3\/72). Let j(s) = s - 1. Let w(x) = -12*x + 9. Calculate a*j(n) - 2*w(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/699 and 13.86 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0 (c) 153\/7 (d) 0.5 (e) 3 (f) -0.004\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41557 is divided by 1543?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjjjvjvjv. What is prob of sequence vjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-249)\/15 - 3\/(-5). Suppose 2*v = -v + 78. Let o = v + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/11 + 446*n**3\/11 + 10686*n**2\/11 + 1822*n + 9800\/11 = 0. Calculate n.\nAnswer: -196, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 6) to base 10.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.3. Sort v, -4, 1 in ascending order.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.059975 and 657.\nAnswer: 39.403575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100100 - -10111100101011?\nAnswer: 10101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/165 - (-104)\/60)\/(4\/114)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 - 119. Is v a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, -121, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67*6.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 + 20. Let c = -1 + 1. What is the smallest common multiple of -1*5*12\/(-10) and j(c)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 - 3*j - 3. Let s be g(-2). Let v be s\/(-6) - (-33)\/(-6). List the prime factors of 81\/((45\/v)\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1880a - 14?\nAnswer: 187a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**5\/20 - m**4\/4 + m**3\/2 - m**2\/2 - 18*m + 3. Let l(v) be the first derivative of k(v). Let l(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124167877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2809313640 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, f: 3, x: 4}. What is prob of picking 1 t and 3 f?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + 5*y + 8. Let p be q(-3). Let l be (p\/3)\/(1 + 50\/(-54)). Suppose -7 = -l*r + 11. Solve 4*m + r = 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + -1.5?\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/12*3 - (-99 + -2). Calculate the greatest common divisor of 45 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 509, 1237, 2289, 3671, 5389, 7449?\nAnswer: 9857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31141246 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/11)\/n)\/(n\/(n**(-7\/4)\/n)*n))**27*(n**(-3\/4)\/n*n*n*n**(-2)*n)\/((n**(-1\/6)*n)\/n**(-2\/9)) assuming n is positive.\nAnswer: n**(-30611\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*f - 12, -2*k = 3*f + 8 + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2187407 - -5131737. Let a = s - 2944299.99961. Let y = a - 30. What is y rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*c**2 + 2*c**2 + 6*c**2 + 7*c - 2*c**3 - 2*c**2 to the form v*c + o + r*c**3 + a*c**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/12 and 67\/1053.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2))\/(152\/608).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 + 14*f - 10. Let i be h(5). Suppose 4*w + 30 = i. Let d(l) = -9*l - 6. What is the units digit of d(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1161287532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2032)*6*-2*(-19)\/57*2?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171\/584 - -317\/584. Let -15\/4*h + 2 + 3\/2*h**2 + o*h**3 = 0. Calculate h.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 7*z**2 + 4*z - 4. Let h be b(-6). Suppose 12*g + 12 = 15*g. Let c(k) = -4*k + 5*k + 11 - k**2 + 2*k + g*k. What is c(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (12 + -7 + 3 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 4, w: 3, g: 6, e: 3, i: 2}. What is prob of picking 2 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -4*l + 23*f, -3*f + 3 = -5*l + l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {r: 1, n: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**2 + 2*y + 9. Let x(q) be the second derivative of 5*q**4\/12 - q**3\/6 - 2*q**2 - q. Let o(i) = 4*t(i) + 9*x(i). Factor o(p).\nAnswer: p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106040 is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - (0 - (3 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10567653 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 60288 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41600, 41539, 41440, 41303?\n\"Answer: -19*p**2 - 4*p + 41623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {x: 1, j: 1, d: 1, f: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -10447?\nAnswer: -2\/10447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 5928*q**2 - 12552*q?\nAnswer: -12*q**2 + 11856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240842 = -4*f + 3*r, -30*f - 5*r + 120408 = -28*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/((-4)\/6). Suppose -5*h = 2*x + x - 6, s*h + 3 = -5*x. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 7. Let i be y(-5). What is the third derivative of -8*x - 2*x**i + 8*x + 3*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b + 5. Let m(s) = 7*s - 6. Let j(a) = 5*m(a) + 6*p(a). Let u(c) = 11 - 11 - 5*c. Determine j(u(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-194)\/(-4)*27508\/(-13754)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-9))\/(-2)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2199998*s**2 - 1. Let i be p(1). Let h be i + (2 - 0 - 3). What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 5*i - 5*i - 2*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3852082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -122200100211?\nAnswer: -122200100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 543*w + 3 - 689*w as u*w + m and give u.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7269745 and 9275.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 + 4 + -5. Let w be 2\/11 + (-6)\/33. Suppose j - 2 = -0. Solve 0 = o - j*k, -o + w*k - 4*k = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139917923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27504643 (base 9) in base 2?\nAnswer: 110011110100100101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 983807, -2\/9, 0, 1\/3, -5, 1\/11 in descending order.\nAnswer: 983807, 1\/3, 1\/11, 0, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + i)*(-i**3 + 3*i**3 - 3*i**3) + 5*i**4 + 0*i**4 - i**4 + (-2*i + 2*i - 3*i**2)*(-4*i**2 + i**2 + 2*i**2) + i**3 + i**4 - i**3.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 129 = 111. Suppose 11*s = 7*s - g. List the prime factors of (-55)\/s - 2\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.381442 and -0.0445359?\nAnswer: 0.3369061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-24)*6\/4. Suppose d + 9 = 3*t, -w*d + d - 7 = -2*t. What is the third derivative of 8*n**t + 9*n**2 - 7*n**2 + 4*n**5 wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 23*d - 7*d - 9*d - 5 + 3*d**2 - 4*d - 8*d. Let x(n) = -3*n**2 + 4*n + 4. Calculate -5*x(q) - 4*z(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((1*sqrt(832) + sqrt(832) - sqrt(832)) + -5 - sqrt(832) - (sqrt(832)*-1 + sqrt(832))*1)**2 - ((-3 + -1*sqrt(832))*6)**2)*6.\nAnswer: -181506 - 10368*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 - 659 - 42551*f + 42542*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 12*f**2 - 7*f - 42. What is the smallest common multiple of 11 and b(7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 41*f - 25. Let z(s) = -2*s**2 - 22*s + 12. Suppose 3*c - 7*r - 5 = -5*r, 30 = 2*c + 4*r. Let l(u) = c*z(u) + 3*v(u). Give l(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*h = -223*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) + (-69)\/(-21). Suppose i*p - 4*w = 465, 3*w - 212 = -p - 57. Let s = -95 + p. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/30 - 44*b**3\/9 + 3233*b**2\/15 - 22472*b\/15 - 201. Factor d(l).\nAnswer: 2*(l - 53)**2*(l - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 10*y**2 - y + 57. Let u be w(6). Suppose -u*o + 122*o = -323. What are the prime factors of o?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -22. Let d = 26 + -10. What is the least common multiple of a and d?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5 - -10) + -22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124875 divided by 5.\nAnswer: 24975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 5*6*(sqrt(833) + 2*sqrt(833) + -5 + (0 + sqrt(833))*-4))**2.\nAnswer: 65520*sqrt(17) + 774036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1237526505 + -27.\nAnswer: -1237526532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -l + 7, 0 = 2*l - 4 - 4. Solve -r*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(4\/32*-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*l = -284*l + 18672 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92593.076 rounded to the nearest 1000?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30, -5, -10.\nAnswer: -10, -5, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:20 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*m = -3, -2*v + 7*v - 4*m - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*w = -1, -4*w - 1 = -21. Suppose -d*t = -7*z + 3*z - 8, 0 = 5*t - 2*z - 18. Let y(b) = b**3 - 4*b**2 + 4*b - 3. Does 9 divide y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418187 to the power of 1\/2, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {n: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.479186ug?\nAnswer: 0.007479186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 36. Let a = -1311 + 1275. Let k(j) = 3. Calculate a*k(w) + 3*x(w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -144*s**5\/5 + 71*s**3 - 101. What is the third derivative of i(t) wrt t?\nAnswer: -3456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 - 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*l**2*r**3 - 87215*l**2 - 191*l*r**4 wrt r.\nAnswer: 123*l**2*r**2 - 764*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 - 17. Let i = a - -61. Let y = -677\/9 - i. What is the third biggest value in y, 3\/7, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 x, and 1 e when four letters picked without replacement from xjqeqjxje.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 14*n + 16*n + 18*n as a + h*n and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of (34 - 26)\/(((-25)\/(-2110))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + o)*(3*o**2 - 4 + 4)*(8 - 2 + 7).\nAnswer: 117*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 66\/(-165). Let b(r) be the third derivative of 0*r + 1\/20*r**5 + f - 12*r**2 - 1\/4*r**4 + 1\/40*r**6 + 0*r**3. Factor b(c).\nAnswer: 3*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/15)\/d**(-20)*(d*d**(-1\/2)*d*d)**(-25) assuming d is positive.\nAnswer: d**(-1279\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvoovovovvovvvvvvvv.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + k + 4*k. Let f be w(2). What is the first derivative of 2*j**f - 2 + 5 - 2 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 366.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 778, 3100, 6962, 12358, 19282, 27728, 37690, 49162?\nAnswer: 62138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 10:27 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1206952\/(-70) - 6) + -1. Let m = -17248 - x. What is the common denominator of -89\/70 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 416, 838, 1262, 1688, 2116, 2546?\n\"Answer: z**2 + 419*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/73959 and 61\/8579244.\nAnswer: 8579244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6514977 and -34\/10858295.\nAnswer: 32574885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = 0, -3*f + 63 = v - 69. Let z = 238 - v. What is the remainder when z is divided by (-104)\/(-3) - (-1)\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 + 213 - 18*n**4)*(0 - 3 + 2) + (22*n + 5*n**2 - 22*n)*(2*n**2 - 2*n**2 + 2*n**2).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + s + 26 = -s, -23 = -2*r - s. Suppose 4*m - 3*c = -119, -r = 2*c + c. What is the common denominator of 8\/60*4360\/m and -62\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:02 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25296 + 25302.0068. Let m = k - 6. Round m to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -38. Suppose s*b - 21 = -3*k, -4*b - 18 = -5*k - 1. Let j(v) = -10*v + 12*v - b - 3*v. What is j(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 650689041*p**2 - 529127778*p wrt p.\nAnswer: 1301378082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1435 - 1434. Is j bigger than 1\/977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:35 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 6*x + 24. Suppose 7*v = x*v - 74. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 + -20 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -5 (c) 0.1 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 5*h**2 - 6*h - 3. Let x(l) = -l**3 - l**2 - l - 1. Let z(k) = -c(k) + 6*x(k). Let g be z(0). Is 1\/(g*(-5)\/2805) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46858, -47447, -48036, -48625, -49214?\nAnswer: -49803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76988 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35467744)\/(-46) + 3 - (-134)\/1541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*s + 63. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -593, -603, -627, -671, -741?\n\"Answer: -f**3 - f**2 - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 - 15*g**2 - 11*g - 11. Let k(a) = -2 + 4*a - 3*a**3 + 2*a**3 + 6 + 5*a**2. Let c(s) = -2*f(s) - 7*k(s). Suppose -j = j + 8. What is c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:42 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.19. Which is the biggest value? (a) -5 (b) 3\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -58.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 114 - (154\/6 - -10)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + a + 0*a - 2 + a + 2 + (3 + 1 - 2)*(0*a + 2*a - 4*a) + 3 + 2*a - 3 - 5*a + 3*a + 0*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -366380 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22996*k*t**3 - 2*k*t + 4363*t**3 + 2*t**2 - 1 wrt k?\nAnswer: 22996*t**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60.3123*202\nAnswer: 12183.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*p = -5, -q - 16 = 14*p - 12*p for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913817518 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 - 143?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spssp. What is prob of sequence sp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -493217 - -4027400. Let l = a + -1123188. Let w = l - 6610995. Round w to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.3 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000640617908 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151671*-0.1324.\nAnswer: 20081.2404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 785*v**2*w**2 - 2*v**2*w - 202*v*w**2 - 4*v*w - 276*v + w**2 + 3*w wrt w?\nAnswer: 1570*v**2 - 404*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200 (base 3) in base 13?\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 524.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66\/25 or 4?\nAnswer: 66\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**3 - 29*b + 29*b + 23 - 14 - 8 - 23*b**2 to n*b**3 + x*b**2 + z*b + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 247. Let q = p - -145. Solve 5*m + 31 = -0*m - 3*h, h = 4*m + q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37674\/94185)\/((-1)\/(15\/(-2))) - (-850)\/(-282)\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111 + 6*n - 107 - 5*n + 129*n**4 wrt n.\nAnswer: 1548*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 66*z**2 - 325*z - 52. What is h(-27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w + 21. Let d be c(0). Let b = d - 13. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -43*k**3 - 101*k**2\/2 - 96. Find the second derivative of y(u) wrt u.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 10, r: 2}. What is prob of sequence rada?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 29 = 4*u, -u - 9 = -3*f. Let j = u - -9. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 77 + (0 - -25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(847) + sqrt(847) + 3 + -3 + (-1 + sqrt(7))**2*-5 + (sqrt(7) - (-4*sqrt(7) + sqrt(7) + 2)).\nAnswer: -39 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2*l)\/l)**(-1))**(-49) assuming l is positive.\nAnswer: l**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*d - 11302 = -43391 - 15789 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 153596 = -4*y, 243*y - 247*y + 3*b = -153603. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -41*o - 4184. What is v(-102)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442148 is divided by 477?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 259053?\nAnswer: 10\/86351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763070498 to the nearest integer?\nAnswer: 27624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 - 32*x**4\/5 + 406*x**3\/5 - 2548*x**2\/5 + 7889*x\/5 - 9604\/5.\nAnswer: (x - 7)**4*(x - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose w*k = -0 + 8. Suppose s + k*s = 9. Calculate the remainder when 5 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/2 + 99729*k**4 + 1658642262*k**3 + 33122898891*k**2 - 334666911327*k\/2 - 198797812020 = 0. What is k?\nAnswer: -33233, -24, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247950 and 10095480.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60462617 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6) - 69\/(-36)) + 0\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1002 and -5597455.\nAnswer: -5596453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499.8987 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from {g: 1, o: 1, p: 10, i: 2, h: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*h + 2*i, -289*h + 293*h - 5*i = -45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16218249 + 2 + 0 + 2. Let d = -11592490 - -17510743. Let h = y - d. Round h to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1620*p - 25909. Give k(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 - 18545*g**2 - 111425*g - 92875 = 0. Calculate g.\nAnswer: -5, -1, 3715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 61, -4, 3 in descending order.\nAnswer: 61, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(((2 + sqrt(704) + sqrt(704))**2 + 4)*-2 + (-2 + -1 + 1 + sqrt(99))**2).\nAnswer: 280*sqrt(11) + 11086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115833 is divided by 7644?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*j + 100*j + 200 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14265187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/3 + 23\/12. Let y = -9 + 9.06. Let m = 1.94 + y. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 2997?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + 1.95. Let f = j + 2. Is f less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 20. Suppose 0*r - 3*r - 11 = 4*a, -4*a - 35 = -s*r. Let k(p) = 2*p**2 + p. What is the tens digit of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -3*o - j, -o - 3 = -j. Let t(q) = q - 7. Let p be t(5). Let m = o - p. Solve -2*s - 7 - m = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*m - 9323 - 9226 + 581*m + 18549.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595679 + 2595679 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:44 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 2, t: 1, x: 1, o: 2, w: 1}. What is prob of picking 1 w, 1 x, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/36 - (0 + -5). Suppose 9*a = c*a + 68. Calculate the remainder when 59 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 4*o - 40291996 = 12*s, 0 = -4*s + o - 40291999. Round s to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128.5 + -129. Sort 1, d, 13.\nAnswer: d, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w - 115*w - 2 - 17 - 15.\nAnswer: -4*w - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/z**(-6)*z*z)\/z)\/(z**(-6\/5)*z))\/(z**(3\/10)*z*z\/z**(1\/5)) assuming z is positive.\nAnswer: z**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -b6?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 10*h**2 + 8*h + 172. Let c be k(-10). Solve -72*t = -c*t + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose z*y = -3*p + 33, 4*y - p = -0*y + 34. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.62 (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 4967 - 2*o**2 - 12*o - 9*o.\nAnswer: -2*o**2 - 4967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 11. Let c be m(-8). Let t(r) = r**2 - 3*r + 2. Let n be t(2). Solve n = -2*x - 1 + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1666 and 275723.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from kkyyyyuykykyukuyyku.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(24\/52)\/6\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10)*(-75)\/6. Let a(g) be the second derivative of g**4\/12 - 2*g**3 + 2*g**2 + 637*g. Calculate a(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 13}. What is prob of sequence mmym?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**5 - 5\/3*d**3 + 0 + 8\/105*d**7 + 0*d**6 + 0*d**4 + 3*d**2 + 0*d. Find the first derivative of r(f) wrt f.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000158654 rounded to six decimal places?\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14280628 is divided by 952039?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 minus -10589?\nAnswer: 10559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8078805 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/6)*(t**4\/t)\/t*t)\/(t*t**0*t*t)**(-37) assuming t is positive.\nAnswer: t**(691\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + sqrt(660)*-2)\/sqrt(12))\/((sqrt(66)*1)\/sqrt(6)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 1, m: 3, o: 2, t: 5, j: 1}. What is prob of sequence vgj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 271793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 14*d - 12, 5*m - 4*d = 44 - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2. Solve 2*z = 2*t - 10, 14 = -2*z - 2*z + r*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.92 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1025304 - -3331?\nAnswer: 1031635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704215 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4339887987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m - 10. Suppose -4*x = 2*r - m, -4 = -3*x + 3*r + 11. Let c**2 - 2 + 0*c**x - c**3 + c + 1 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 196. Let h = -61 + g. Solve 6 = -2*z + 3*z - a, -4*z + 5*a = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-987)\/47*2\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let b be (8\/(-6))\/(16\/(-6) - -2). Let m(p) be the second derivative of b*p + 0 + 0*p**2 + 0*p**3 + 1\/6*p**4. Determine m(f(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.94 rounded to 1 dp?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-504)\/168)\/(2 + 14\/(-6)). Solve 118 = n*d + 154 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41933972?\nAnswer: 2, 179, 58567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 12*c + 12. Let z be a(6). Find the common denominator of -67\/36 and 3\/(-3) - 628\/z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-233)\/(-5) - -3*24\/180. What is the first derivative of -f - 143 - 125*u + 9 wrt u?\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*q + 274*q + 278*q + 19*q + 2 + 11*q to the form y*q + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let o(i) = -286*i - 5. Let x(a) = 11155*a + 194. Let q(h) = 194*o(h) + 5*x(h). Determine q(z(f)).\nAnswer: 582*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*b - 12, 2*k + 3*k + 20 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1354 and 77\/68.\nAnswer: 46036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1943 less than 922055.89?\nAnswer: 923998.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -45*g**2 - 55*g. Let b(w) = w**2 + w. Let h(t) = -2*a(t) - 110*b(t). Let q(r) = 5*r. Calculate h(q(i)).\nAnswer: -500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - -3. Let r = 0.0031 + 263.9969. Let u = r - 263. Put -0.3, u, g, 7\/2 in descending order.\nAnswer: 7\/2, u, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22468968 divided by -422?\nAnswer: 53244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 1038*o + 9257. Calculate n(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(320) - (sqrt(320) - (sqrt(320) + -1*sqrt(320)*2))) + (2 + sqrt(320))*4 - -3*(2 + 1 + sqrt(320))))**2.\nAnswer: 2112*sqrt(5) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 - 3*j**2\/2 + j - 1. Suppose -11*p - 2*k = -13*p + 8, k = 3*p - 8. Give b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 25 (b) -1\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8678470.0759 - 8673633.3. Let g = -4837 + s. Let n = g - -0.22. What is n rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r\/r**4)**13*(r**(3\/2)\/r**(-1\/4))\/(r**(1\/2)*r)**(5\/3) assuming r is positive.\nAnswer: r**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*r + 77*r + 30. Let k(f) = -4*f**2 + 5*f**2 + 0*f + 13 - 2*f**2 - r*f - 2. Calculate k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69466187 rounded to four dps?\nAnswer: 2.6947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-625)\/(-50))\/((-1950)\/(-78))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 10*t - 24. Calculate w(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20709*d**4 - 7*d**3 - 3*d**2 - 3443 wrt d?\nAnswer: -497016*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**11\/332640 - u**5\/30 + 2*u**2. Let z(s) be the third derivative of q(s). Determine l, given that z(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2102018 and 6?\nAnswer: 2102024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1110011101101111111010 (base 2) to base 14\nAnswer: 709c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2758)\/(-591)*(-3)\/(-7))\/((-13)\/832)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1604 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167 + 42 + 47 - 325*p + 75 to the form i + c*p and give c.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 274997479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from vvvvvvwvzvvyklvv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-48)\/28. Suppose 6 = -x*l - 3*h, 4*l - h = 4*h + 10. Solve l = -3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -789, -2216, -4349, -7542, -12149?\n\"Answer: -59*b**3 + b**2 - 1017*b + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/60)\/(2\/5). Let v(m) = m**3 + 4*m**2 + m + 2. Calculate the remainder when 28 is divided by v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p - 3*p**2 - 123 - 31*p + 123.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 19886124*h + 49432240967922 = 0. Calculate h.\nAnswer: 4971531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 - 13)\/(((-15)\/(-18))\/(-5)). Let w = 121 + x. Suppose -w*p = -93*p - 8. Solve p*m + 2 = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460908 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -506 >= -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: cdc4b (base 14) to base 16\nAnswer: 79d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198 + 202. Solve h*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) 0.4 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -540 + 764. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48063.89 to the nearest 10.\nAnswer: 48060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 8. Suppose 44 = 5*y + f, -7 - 25 = -4*y - w*f. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1)\/sqrt(5) + sqrt(17) + (1*sqrt(51)\/sqrt(3))**2 - sqrt(85)\/(sqrt(45)\/(sqrt(36)\/sqrt(4))).\nAnswer: sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.07 or -0.40285?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*l**3*s**3 - 6*l**3*s + 8*l**3 - 5*l**2*s**2 - 22*l*s**4 - s wrt s.\nAnswer: -1560*l**3 - 528*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5422.054 litres to millilitres.\nAnswer: 5422054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 39*n**2 - 12*n - 22. Let r(m) = -33*m**2 + 10*m + 19. Let j(a) = -5*g(a) - 6*r(a). Let l(t) = 3 - 3 + 5 - 3*t**2. Give -3*j(s) - 2*l(s).\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11 + (-3 - (67 + 11)) + 11 + -7?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*i + 17, -5*i + 2 = -18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Which is the smallest value? (a) u (b) 2\/3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 246 - 246 - 538*m + 345 - 310*m.\nAnswer: -848*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)\/h)**(-7\/12)*(((h*h\/(h**3\/h))\/h*h)\/h*h)**(-1\/27))**(-1) assuming h is positive.\nAnswer: h**(-77\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1163 + 21279. Is 47 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18298159 to the power of 1\/2, to the nearest integer?\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.05945, -4, 3, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515 and 195679709?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 520 + -515. Let m be y + (24\/(-72))\/(1\/3). Solve -m = -d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 859 + -1a?\nAnswer: 83b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1102143 * -5.\nAnswer: -5510715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 135*i + 149*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 63, 122, 195, 276, 359, 438?\n\"Answer: -c**3 + 16*c**2 - 2*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 113. Let h = o + -23.999875. What is h rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9096794*r**2 - 9796533*r?\nAnswer: -18193588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43496410.\nAnswer: 2, 5, 31, 193, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12865 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n + 23. Let v be t(10). Suppose 0*l + 4*l = -2*p + 308, -l - 2*p + v = 0. Let z = l - 16. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -319, 15, -4, 1 in ascending order.\nAnswer: -319, -4, 1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 4\/3, 1\/3, -14, -2 in decreasing order.\nAnswer: 305, 4\/3, 1\/3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/10*5\/(-13). Let h(m) = -m**3 - 9*m**2 + 22*m - 1. Let a be h(-11). Which is bigger: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(700)) - (-4 + (sqrt(700) - sqrt(700)*3)**2).\nAnswer: -2798 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 1*sqrt(133))*-1 - -1*sqrt(133)*-2)\/((-1*sqrt(14))\/sqrt(2) - sqrt(7) - (sqrt(567) + sqrt(567)*-2)).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.5 - 24. Suppose 5*k = 4*u - 31, -2*u = -5*u - 4*k. Let a be 40\/(-22) - u\/(-2). What is the biggest value in -3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/(-74025)*-30)\/((2\/20)\/(2\/(-12))).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/5*-1 - -16. Let i(c) = 2*c + 2. Let g be i(v). Calculate the highest common divisor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8537487*w. Let b(c) = 2*c. What is b(g(d))?\nAnswer: 17074974*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9898 divided by 98\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 28 = -24*s. Solve -4*y + 6*y + 3*c = -s, -3*c = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.01 - 7337768.\nAnswer: -7337770.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2957 - -2956.7. Let m = 0.1 + -0.4. Which is the nearest to v? (a) -0.5 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -756 + 756.0121. Which is smaller: l or 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 5*y + 1. Let w be l(4). Let a = w - 5. Suppose a = 4*k - 16. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -10 (b) -14 (c) -2 (d) -0.1 (e) 0.225 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 177*v + 439 + 355 + 1684 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880, -1690, -2382, -2920, -3268?\nAnswer: -3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131163 - -4?\nAnswer: 131167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*f - 69*f - 105. Let z(n) = -n**3 - 22*n**2 - 21*n + 2. Let c be z(f). Solve 2 - 8 = -c*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1030 + k**2 - 870 - 3*k**2 + 1101 as c + h*k + a*k**2 and give c.\nAnswer: 1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -24*h**3 - 17*h**2 + 114*h - 17. Let i(l) = 8*l**3 + 6*l**2 - 38*l + 6. Let n(g) = -17*i(g) - 6*m(g). What is the second derivative of n(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sogoa. What is prob of sequence oo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p = 331 - 127. Suppose -v + p = 0, 0 = 4*t - 4*v - 4555 + 1523. What are the prime factors of t?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315360 (base 7) in base 9?\nAnswer: -83056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*o - 3.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z + 3. Let t(v) = -2*v**2 + 3*v + 5. Let f(m) = -11*j(m) + 6*t(m). Let y = -32 - -35. What is f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, g: 2, v: 2, j: 1, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 878640 divided by -21\nAnswer: -41840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a7806 (base 13) to base 10.\nAnswer: -1044933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -64, 5 in descending order.\nAnswer: 5, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*v - 0*v + 56, 140 = 5*w + 2*v. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose -t - k*t - 600000 = 0. Round t to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-4*-3 - sqrt(117))\/(sqrt(18)\/(sqrt(10)\/sqrt(5))).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:55 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/1890)\/(1\/10)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:51 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -869 + 868. Which is the third biggest value? (a) g (b) -10 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -761\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 359292, 359291, 359290?\n\"Answer: -m + 359293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4739 is divided by 363?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -747584*b**3 - 2*b**2 + 373790*b**3 + 373791*b**3 - 676 as p + o*b + u*b**3 + d*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) -2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217\/113 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2)*(-h - h - h)*(-2 - 2 + 2).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222933 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {q: 9, z: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -94 times -4340\nAnswer: 407960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**3\/3 + 5*a**2 + a. Let b(k) = k + 22. Let v(y) = 2*b(y) - 22*f(y). Let r(s) = -240*s**2. Determine v(r(d)).\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*l + 18*l. Let y(f) = -1 + 0 - 2*f + l - 1. Let o be y(1). Is 9\/8 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 126*f**2 + 586*f - 10526. Calculate o(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeggeeeeveegegvgepv. What is prob of sequence vpev?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 0.84098?\nAnswer: 4.84098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z - 1 + 1\/2*z**2. Let f(s) = 2*s**2. Determine f(q(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/14 + (-1298)\/(-826). Solve -5*n = q*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4886395*a + 1129*a**3 + 4886395*a)*(-8 + 9 + 10) in the form l*a**3 + y*a**2 + d*a + i and give l.\nAnswer: 12419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 8*v**2 - 9*v - 4. Let m(p) be the second derivative of p**5\/20 - 13*p**4\/12 - 2*p**3 - 21*p**2\/2 - 29*p. Let z be m(14). Calculate y(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -19*q + 17*q. Let y = q - -16. Which is the biggest value? (a) y (b) 1 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x)*(-2*x**3 + 4*x**3 + 2*x**3) + x**4 + 6*x + 921*x**3 - 921*x**3.\nAnswer: -3*x**4 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -18. Let n = -1.9948 - 0.0052. Put c, 9, n, -3\/4 in increasing order.\nAnswer: n, -3\/4, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h - 1 = -4*x, 3*h = -3*x + 27. Suppose h*f - 30 + 10 = 0. Let v(p) = p. What is the units digit of v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = 182 + 790. Which is smaller: -192\/7 or x?\nAnswer: -192\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23202 (base 5) to base 7\nAnswer: -4614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 2, r: 2, w: 2}. Give prob of sequence uwrr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 - 2. Let f be (0\/(1 + -5))\/1. Suppose -4*b - b + 25 = f. Suppose 2*q - 24 = -4*g + 4, 26 = b*g - 2*q. Determine u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2750125\/4 + -687530. Solve -v*c**4 + 0 + 1\/4*c**2 + 1\/4*c - 3\/4*c**3 - 1\/2*c**5 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + r**2 + 0*r**2 + 5*r**2 - 2*r + 2. Let v be (2 - -2) + (13 - 16). Let w be c(v). Solve b + 2 = 2*d, 2*b + 4 = -0*b - w*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 9*f**2 + 40*f**2 - 43*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (205\/(1341725\/510))\/(1\/(126\/(-3))).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.58 - 0.42. Let r = 91.69 + -143.3. Let x = r - t. Round x to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3514 = -52*x + 294*x - 3543 + 1491 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 78318?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 29. Solve -2*g + y*g - 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 24 = -0*a. Suppose -x + a*x = 15. Suppose 1 = -n + x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + n**2 + 2*n**2 - 6.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2496, 2506, 2512, 2508, 2488, 2446, 2376, 2272?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6 = -r, 622*r + 49 - 24 = 639*r - 2*i - 77 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 6*o + 9. Let k(m) = -3*m - 3. Let u be k(o). Determine b, given that u + 0*b**2 + 0*b + 2\/7*b**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 9. Suppose 0 = 41*b - 161 - 26 - 305. What is the remainder when q is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/60)\/(3\/(-18))*208\/(-12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01202 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 19*g**2. Let r(s) = -454*s. Calculate r(k(o)).\nAnswer: -8626*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 a when three letters picked without replacement from {l: 2, r: 1, j: 6, a: 3, b: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251691, -503384, -755077, -1006770, -1258463?\nAnswer: -1510156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.4 (c) 2 (d) 6\/11 (e) 178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3) - 3\/9. Let n(o) = o**2 + o - 1. Let y be n(2). Suppose 2*l - 4*v = 12, y*l - 1 = -2*v + 5. Sort z, -2, l in descending order.\nAnswer: l, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.8. Let f = 1 - w. Let q = -0.6 + f. Sort q, -5, -0.3.\nAnswer: -5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3 (c) 0.07 (d) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/7)*y)\/((y**(4\/9)*y)\/y))\/(y\/y**(-4\/7)*y\/y**(-2)*y*y)*((y**(-2\/5)\/y)\/(y*y**(-2\/19)))\/(y**(6\/7)*y\/(y\/(y**(-7)\/y))) assuming y is positive.\nAnswer: y**(3271\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1486*n**2 + 16*n + 29. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49856 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186.3 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/1524 + 39509\/21336. Calculate the common denominator of n and (-1)\/1 - (-279)\/12.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28818211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 2)*(0*w - 6*w + 2*w)*(4*w**3 - 5*w**3 + 15*w**3) in the form i*w**3 + m*w + u*w**4 + p*w**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-2 + -2)**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8 - (-147)\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -101. Let u = j - -7.52. Let q = u + -1.5303. What is q rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bslt when four letters picked without replacement from lbbbtlbstss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Suppose b + 17*b = 97452. List the prime factors of b.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 2735*k - 2740.\nAnswer: 5*(k - 548)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3860 or 3861?\nAnswer: 3860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -2*g, 21 = 4*g + 2*y - 37. Let i = g + -9. What is the third derivative of -4*q**2 + 0*q**5 - 2*q**5 - i*q**5 wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a meter in centimeters?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/49, 1, 1\/7?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 165\/6*(3080\/50)\/11. Calculate the highest common factor of 1386 and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*c - 144 + 144 in the form g + u*c and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**7\/6 - 2*h**4\/3 + 5*h. What is the third derivative of g(r) wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 36387.\nAnswer: 7\/36387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 142 = -38*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 780999423 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - (1 + sqrt(700) + -1))*-2)**2*1 + -4)*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c67 + 1319?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-3)*(-106)\/(697480\/(-105))?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(252) + (sqrt(252) - 3*sqrt(252) - sqrt(252))**2*1 - sqrt(252)).\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-14652)\/161244) + -15 + (-6)\/111?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(30 + 4672\/(-144) + 2*2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -26\/131?\nAnswer: -26\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/8 + -93\/56. Let q = -4\/461 - -16199\/7376. Find the common denominator of q and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 1, n: 3, b: 4, u: 1, v: 1}. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9899322*i**3*z + 3*i*z - 1186*z - 256 wrt i.\nAnswer: 59395932*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -3*l. Let x be 3*(-2)\/(-1 + -1). Calculate the least common multiple of 16 and 2\/(-1)*(x + l).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37226219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/(b*b**(-2\/5))*b*b\/b**(-1\/2)*b*(b*b**(-2\/3)*b)**(21\/2) assuming b is positive.\nAnswer: b**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxpgtkgxgxk. Give prob of picking 2 k, 1 g, and 1 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 14 = -v + 2*a, 0 = -230*v + 227*v - 9*a + 39 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**3 - 40*x**3 - 32*x**3 + 35*x**3.\nAnswer: -90*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37158 (b) 4\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 1 + 1)*(6*h**2 - 4*h**2 - h**2) - h**4 + 4*h**4 - 2*h**4 - 451*h - 37*h**4 + 451*h.\nAnswer: -35*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d - 6. Suppose -12 = 9*b - 5*b. List the prime factors of z(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(11))**2*-2 + ((sqrt(13) - (sqrt(13) - sqrt(52)\/(sqrt(4) + sqrt(24)\/sqrt(6))))**2 - sqrt(13)).\nAnswer: -91\/4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 555*f - 81789. What is n(121)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0 + 0)*(-119 - 3629*a + 7259*a - 3626*a).\nAnswer: -4*a**3 + 119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1366871 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyysyyyyyy.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 13*a - 32. Let s be d(-9). Suppose -4*f = 2*y - 428, y - 208 = -0*y + s*f. Is y a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 36.04, -25, -0.18, -7 in descending order.\nAnswer: 36.04, -0.18, -1, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4952 is divided by 260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.1 + 19. Let v = g + 9.1. Which is the nearest to -2\/3? (a) -3 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2. Let f(r) = -11455*r**2. What is f(y(c))?\nAnswer: -45820*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) -3 (c) 2 (d) -7175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/506 and 127\/276?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 9077 = -5*g + 12*g. Calculate the greatest common divisor of g and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5566.399 decades?\nAnswer: 667967.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/3 - 12\/(-324)*-9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -89, -170, -287, -446, -653, -914?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 - v + 1 + v**2 + 1 + 4*v**2. Let w be d(1). Let b = 4 - w. Solve -3*f + b - 14 = 5*u, -5*f - 20 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = 5*k - 2*v, -3*k + 5*v + 22 = 0. Suppose 0 = n - k. Solve -n*l = l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*p - 21275 = -715*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-3*56\/(-252).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11022102102 (base 3) to base 11\nAnswer: -58847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/2 + (-15 - -9). Which is the fourth smallest value? (a) g (b) -0.1 (c) -18 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let n be g\/(-7) - 57\/21. Calculate the common denominator of 75\/2 and 40\/(-21) - (-2)\/n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201211022 + 0?\nAnswer: 201211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**40*u**15\/(u**13\/u*u))**(9\/4) assuming u is positive.\nAnswer: u**(-351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + p**2 + p + 1. Let k(f) = f**4 - 8*f**3 - 52*f**2 - 4*f + 84. Let o(b) = -4*h(b) - k(b). Differentiate o(i) wrt i.\nAnswer: -4*i**3 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbnnbnabbnbabbanb. What is prob of picking 1 a and 1 n?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12289 is divided by 12257.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, -249, 2 in descending order.\nAnswer: 286, 2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*z = -7*b + 27, -4*b + 41 = -5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-20)*(-1971)\/(-756)*-16)\/(16\/(-40)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11796.21 or -3?\nAnswer: 11796.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030323 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -580 and 5339?\nAnswer: -3096620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 31*q - 14 = 2*q, -t - 5*q = -3*q - 4 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -304 + 294. Let x be (-5 - (-19)\/3) + n\/(-15). Solve 0 = x*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 3130?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57\/11 (b) 1\/5 (c) -0.6 (d) -1\/6 (e) 0 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 180*x**4 - 172*x**3 - 188*x**2 + 172*x + 8 = 0.\nAnswer: -1, -2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/276 and -109\/24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -641 + 640.4. Which is the smallest value? (a) 4 (b) -5 (c) j (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259072 and 48070?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130454, -130489, -130518, -130541, -130558?\nAnswer: -130569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -3, 5, -55?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + -7.0966.\nAnswer: 3.9034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 7. Let q(a) = -18*a - 204. Give -j(h) - q(h).\nAnswer: 20*h + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uzuuzzuuuuuuuu.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001010947 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 43. Let c be s(9). Suppose 2*p - x - 2 - 8 = 0, 0 = -c*p - x + 14. Solve p*k + 0*k = -12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 12*u - 2*u)*(36 + 46 - 27) in the form n + c*u and give c.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:05 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.4, -1\/5, -2\/15 in increasing order.\nAnswer: -2\/7, -1\/5, -2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = z + 2*z, 5*z = 4*v + 24. Let s be 0 + -49 + 12\/z. Let k be s\/(-10) + 8\/20. Solve -k*m + 5 = -0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = -v. Suppose -v*d + 10 = 4. Solve 3 + 12 = -d*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936 is divided by 634.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - 2*y)*(-2 + 2 + 4) + y - y - 3*y + (-1 + 1 - 2)*(y - 2 + 2) + 4*y - 3*y + 0*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -ac4 (base 13) to base 15\nAnswer: -835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 - -4. Let u = 0.6 - x. Which is bigger: 2\/5 or u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and 5\/622502?\nAnswer: 622502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {t: 5, j: 4, l: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.43601cm in micrometers?\nAnswer: 144360.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 74. Let s = -93 + r. Which is the second smallest value? (a) -0.2 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6.6.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67715\/507 - 18\/169. Let v = g + 135. Let d = 2 - 0. What is the nearest to 3\/4 in 0.1, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2302*l. Let w(f) = -18*f**2 - 2*f. Determine w(p(t)).\nAnswer: -95385672*t**2 - 4604*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:22 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026 + 1000 + 1 + -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-8)\/20 + (-33432)\/(-105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -220*d**2*l - 652*d**2 - l wrt l?\nAnswer: -220*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eesseuesusss. What is prob of sequence ss?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1.3, -2, -2\/3, 2, 0.1388?\nAnswer: 0.1388","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxq when three letters picked without replacement from xxiaohxixhqh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -x - 97 + 9, 4*x = r - 58. Let t = r - 20. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191590 divided by 124.\nAnswer: 95795\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0385205802 to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and 6.9.\nAnswer: 455.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 185, 193, 201, 209, 217?\n\"Answer: 8*m + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -13, -28, -47, -70, -97, -128?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9944363 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 + 286282*t**3\/11 + 858628*t**2\/11 - 28627408*t\/11 + 27482496\/11 = 0.\nAnswer: -143138, -12, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192758 by -74.\nAnswer: -96379\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - (-90 + 87 - (-2 - 8))) + -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -34.\nAnswer: 23\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/4)*p)*p**(-5\/2)\/p)**(-6)*(p**(-1))**(-4\/5)*(p*p**2*p*p)\/p**1 assuming p is positive.\nAnswer: p**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(51)\/sqrt(3) + 0 + 2*sqrt(17))**2*-1 + 2 + 3.\nAnswer: -157 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Suppose -11*q - 8 = -7*q. Let v be 3 + (-1 - q)*-3. Solve 0 = a - l - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggggjgjggjgjggjgjg. What is prob of sequence jgj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4854 + -3311. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 14*t**2 + t + 19. Let y be h(-7). Solve -4*v - y = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/45)\/(2\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and -127\/32130.\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10856 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-11 - -15)) + 8 - (-2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/6496 and 61\/24.\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 752030280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8016387\/10 + -4040210693\/5040. Let u = -153\/16 + l. Sort u, -4, -5 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81950 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 42325?\nAnswer: -42327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - d - 14, -d + 3 = -3*u - 18 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035979537 rounded to six decimal places?\nAnswer: -0.003598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11307\/18 - 42\/252 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(13) + sqrt(13) + (sqrt(325) + (sqrt(325) + 1 - sqrt(325)))**2 + sqrt(325) - (-2*(sqrt(117)*-6 - (2*sqrt(156))\/sqrt(12)))**2.\nAnswer: -20475 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 0 - (19 - (9 - -15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232222 (base 4) in base 5?\nAnswer: 1222331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 10, -6, 67, -33, -1.\nAnswer: -33, -6, -1, 5, 10, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(475) + sqrt(19) + sqrt(38)\/sqrt(2) + -3 + -4)**2.\nAnswer: -140*sqrt(19) + 1031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-21 - -32) + 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 - 6*i + 12. Let c = 1 - 8. Let m be d(c). Find n such that 0 + 0*n - 1\/5*n**3 + n**m + 0*n**2 - 4\/5*n**4 = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*i = 22, -3*v - 5*i - 12 + 50 = 0. Solve -z = -v*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 1. Let c = -15 - -10. List the prime factors of a(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 8934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 = -3. Let c = 6 + r. Let q(l) = 3*l**3 - l + 7. Let m(u) = -69*u + 68*u + 4 + 0 + 2*u**3 + 2. Determine c*q(i) + 5*m(i).\nAnswer: -2*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -5. Let c be (-4 - -2)*(-21)\/6. Let j = g - c. What is the least common multiple of 2 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 28*s**2 - 1584*s.\nAnswer: 2*s*(s - 36)*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4\/4 + 185*j**3\/4 - 385*j**2\/2 - 240*j = 0.\nAnswer: -1, 0, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4579304 rounded to two decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - (0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 6) to base 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/30 - u**5\/20 + 128*u**3\/3 + 1449*u**2 + 4*u - 33. Differentiate g(f) with respect to f.\nAnswer: 4*f**3 - 3*f**2 + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = u, 5*u + 16 = 3*i - 18. Let v(q) = q**2 + q + 1. Let t(n) = -2 - 5 - 4*n**2 - 4. Let y(g) = t(g) + 5*v(g). Determine y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 356*f**3 + 3*f**2 - 61*f + 112. Calculate the lowest common multiple of 950 and r(2).\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/141 or 8912974?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 + 7*u + 14. Let f(j) = j**2 - j - 2. Let h(q) = 21*f(q) + 3*o(q). Let m(x) = -3*x + 3 - 3. What is h(m(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) - (sqrt(1620)*-1 - sqrt(1620))*-1 - ((sqrt(1280) - (sqrt(1280) + 1)) + 5))**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 1. Let w(j) = 6*j. Give -6*w(l) + 5*z(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -92 (b) -4\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*t**3 + 4*n**2*t**2 + 14*n**2*t + 114724370*n*t**4 - 504*n*t**2 - 36*n*t + 3 wrt t.\nAnswer: 6*n**2 + 2753384880*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**5\/15 + f**4\/12 + 16*f**3 + 92. Let d(q) be the third derivative of p(q). Let r(t) = -2*t**2. What is d(r(j))?\nAnswer: -16*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4)*(3*b + 0*b + 6*b) + 3*b + 2 - 1 - 4.\nAnswer: 48*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - ((20 - (6 + -11) - 4) + -15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 4*f. Solve k + 0 + f = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3547 - 3547. Sort -360\/7, 5, -1, d in increasing order.\nAnswer: -360\/7, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*a**3 - 491105*a**2 - 3042590*a - 546600 = 0 for a.\nAnswer: -6, -5\/27, 3644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15837209081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1518 and 14927.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*b + 14, -43 = -4*b - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p = 50*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101721 and 363053.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 - -0.6805. Let m = q - 0.10577. Round m to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:21 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*z - 2116 = -6*j, 5*j = 4*z + 2645. Suppose 6*q - j = -73. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -12101022?\nAnswer: -12101003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 2, g: 8, o: 5}. Give prob of sequence og.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i - 22. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -60 + 27. Suppose 2719 = j*x - 1769. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 2901, 1, -3 in decreasing order.\nAnswer: 2901, 1, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5758285 divided by -5?\nAnswer: -1151657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 1343115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5394 equal to -5413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9787 is divided by 4855?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 2038284*y + 122296752\/5.\nAnswer: 2*(y - 5095698)*(y - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z. Let b(t) = -41*t + 457. What is c(b(g))?\nAnswer: -164*g + 1828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 56*t + t**2 + 3 - 11*t - 40*t. Let q(p) = -p + 1. Determine -b(w) - 5*q(w).\nAnswer: -w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21356 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19111547 is divided by 9555766?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/87)\/(2\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229\/4 - -172\/3. Let z(v) be the second derivative of -1\/20*v**5 + v**2 + 2\/3*v**3 + 14*v + 0 - t*v**4. What is z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1776.7 - 1774.7. Let o be (-2 - 0)*2\/28. What is the closest to q in o, 1\/19, -0.12?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose -5*t = 4*z - 41, -4*z - 3*t = -k*t - 31. Suppose 0 = y - z, 5*b = -y + 36 - 7. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 704? (a) -3 (b) -1 (c) 0.04 (d) -17 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*u + 10 = 5*q, 5*u + 5*q - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254187 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 6:43 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23278 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73276515*s**3 - 41891859 wrt s?\nAnswer: -219829545*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115110887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*f**5\/4 + 1809*f**4 - 381*f**3\/4 = 0. Calculate f.\nAnswer: -127, 0, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/6)*c*c**0*(c*c**(-1)\/c*c)**4 assuming c is positive.\nAnswer: c**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 7, z: 1, w: 3, j: 4}. Give prob of picking 1 w and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 652 + -630. Suppose -2*o - 4*j = -1844, -4618 = -5*o - v*j + 20*j. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1420*z + 1417*z + 290 = 5*n, 0 = -3*n + 5*z + 140. Suppose 4*j + 2*k = 210, -4*k + 0*k + 35 = j. Is n at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423724 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 34\/(-6). Suppose -v*p = -3*p - 4*i + 110, 5*i + 58 = -2*p. Let n = -29 - p. Solve 0*q + l = -q - 1, n*q - 5*l - 15 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-253)\/(-1127))\/((-144)\/(-1008))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -4820?\nAnswer: 4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1088)\/(-1479) - (-3)\/((-87)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860131394?\nAnswer: 2, 31, 67, 207061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 302.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -295286 divided by -91?\nAnswer: 295286\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379*l**4 - 83238*l**3 - 815052*l**2 - 2438730*l + 27783 = 0.\nAnswer: -21, -7, 9\/793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {f: 1, i: 1, h: 1, b: 5, a: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 69. Suppose -4*f + 21 = -o. Suppose 0 = -5*r + 4*r + 9. Calculate the lowest common multiple of f and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {o: 3, w: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 4*h = -21*a - 26, 28*a - 3*h = 41 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5438029*s**3 - 3343081*s**2?\nAnswer: -32628174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/48192 and -143\/189756?\nAnswer: 3036096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**4 + 3*u**2 - 3*u**2 + (2*u - 8 + 8)*(0*u - u - u)*(-4*u**2 + 2*u**2 + u**2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918951474.\nAnswer: 2, 3, 7, 829, 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*o - 134, -5*o = -685*r + 536*r + 219 - 7361 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218130067 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.4, -5, 1\/139, 149, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*v**3*y**2 + 159*v**3 + 10*v**2 - 2*y**2 + 8310 wrt v.\nAnswer: -114*y**2 + 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 - 99*j + 57. Let a(f) = f. Calculate z(a(c)).\nAnswer: -c - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -31*z + 62. Let d be w(-19). Let p = 1274 - d. List the prime factors of p.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/((-1)\/(-39)). Suppose c = -17*p + 30*p. Suppose -4*k - p*f + 602 = 0, -22 = k - 2*f - 178. Calculate the highest common factor of 38 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from {s: 8, h: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-11 - 4) - (-7 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + (-2 - 1 - (-3 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-26)*1\/272*4\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 4\/65 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*i + 19 = 86, 5 = -5*i. Let m be 205\/f + -3 + 0. Which is the third biggest value? (a) 0.2 (b) 0.027 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*s**2 - 204*s**2 - 1 - 3*s + 3*s**3 in the form u*s**3 + g*s**2 + f*s + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.02.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwnrwrwwnnnn. What is prob of sequence nrrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -3*w**5\/10 - 4*w**4\/3 - 4*w**3\/3 - 12*w. Factor o(r).\nAnswer: -2*r*(r + 2)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3427 + 13*c - 1793 - 278 - 12*c + 389.\nAnswer: c - 5109","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -6*s + 2*s, -x + 7*s = 4*x + 18 - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5455.3 times -3?\nAnswer: -16365.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -l + 20, 4*l = -10*m + 6*m + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024762614 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 152 + 209*x**2 + 295*x**2 - 186*x**2.\nAnswer: 318*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:33 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 0.02. Let r = -0.13 - a. Let s = -4.92 + r. Put -0.4, s, -4 in decreasing order.\nAnswer: -0.4, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205236429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3442 = -13899*c + 14005*c + 1116 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(176) + 1 + 3 + sqrt(176))*5*-3)**2.\nAnswer: 15120*sqrt(11) + 162369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l + 0*l**3 + 0 - 1\/4*l**4 - 2*l**2. Find the first derivative of d(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531726 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: Simplify (b*b*b**(-2\/33)\/b)**(-17)\/(b**(-17))**11 assuming b is positive.\nAnswer: b**(5644\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:47 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.73. Let x = f - -0.49. What is x rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -766.39893 + 762.399. Let q = t - -4. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151982*q**2 + 19603*q**2 - 35506*q**2.\nAnswer: 136079*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0 - 4. Suppose -4 = 4*x + 12, 0 = 5*j - z*x - 663. Suppose t = -y + 128, y - 2*y = 4*t - j. List the prime factors of y.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*z + 64. Suppose -45 = -11*t + 87. Let c be (36\/21)\/((t\/(-63))\/(-2)). Calculate the highest common divisor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 2*j**2 + 4*j - 1. Suppose -5*k + k = 12. Let t be g(k). Suppose 0 = -3*y - 14 + t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 17*x**2 + 25*x - 142. Let i be h(16). Solve -2*z = -4*t, 4*t - 3 - 13 = -i*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -701950, -701952, -701956, -701962, -701970?\n\"Answer: -p**2 + p - 701950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/7 in -0.2, 1, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334041547 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 1\/6, -200\/9, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:39 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 252 + 320 + 649 - 4*r + (-r - 2*r + r)*(4 + 0 - 2) - 2 + 2*r + 2 in the form o + k*r and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*(-3 - 2 - 1)*(55 - 298 - 98).\nAnswer: 4092*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + v + 527 = 0, -56*h + 5*v + 67 = -59*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - (-358)\/4. Suppose 0*q = -5*q + 330. Suppose -q = -z + j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:13 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/96)\/((-2)\/(-4))*-18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 605093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -h - 36, -n + 6*h = 3*h - 20. Suppose b = -3*w - b - 41, -6 = -3*b. Let g be w\/(-2) - (-2)\/4. Calculate the highest common divisor of g and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240379, -961501, -2163369, -3845983, -6009343?\n\"Answer: -240373*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**2 - 2*v - 9. Let m(k) = -4*k**2 - k - 2. What is -9*m(y) + 2*o(y)?\nAnswer: 6*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 499*c**2 - 1. List the prime factors of q(-1).\nAnswer: 2, 3, 83","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, -24, -13, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmccccccccm. What is prob of picking 3 c and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (62 - 84 - (-1 + -2)) - (2 - 11)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9990 divided by -555.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 377818 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w**(-2\/11))\/w)\/w))\/w**(-9\/8)*(w**(2\/23))**(-3) assuming w is positive.\nAnswer: w**(6165\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 29209635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*k - 8, 39*q + 5*k = 38*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**4 + b**3 - b. Let h(q) = 8*q + 4*q**3 + 8*q**4 - 12*q**3 + 3*q**3. Let d(p) = -h(p) - 5*z(p). Find the second derivative of d(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9805034 + 0?\nAnswer: 9805034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/154559 < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 3*z**3 - 4*z**3)*(-84*z**2 + 31*z**2 - 27*z**2 - 48*z**2).\nAnswer: -384*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 2\/3*f**4 + 4\/3*f**3 + 5\/2*f**2 - 1\/20*f**5 + 0 + 41*f. What is a(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - c**3 - c**2\/2 + c + 2. Let t be (-16)\/9 + 4\/(-18). Let r be f(t). Let a(o) = -o + 1. What is a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57\/205 - 729\/410. Which is the fourth smallest value? (a) -20 (b) -1 (c) g (d) -24 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + c + 18, -2*x - 27 = 3*c - 1. Let z(m) = m**2 + 6*m - 5. Let s be z(x). Suppose -3*t - s*t = -20. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 997*f**2 + 518?\nAnswer: 1994*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 23 = 3*d, -99*k = -100*k - 1 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from pknnkpdcdppdklndl.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {u: 9, l: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.49565 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -29 - -27 - 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095.67 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74104 = 32*h - 15368. What are the prime factors of h?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2480007*s**2 - 4771003*s?\nAnswer: 4960014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -41, 17 in ascending order.\nAnswer: -41, -4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 26 = -3*s. Suppose 5*n = 2*t + 32, t + 2*t - 12 = 0. What is the remainder when s is divided by (75\/(-21) - 12\/28) + n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 2. Let b(r) = 3*r**3 + 3. Calculate -2*b(l) + 3*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 + 50. Let w(o) = o - 2. Let q be w(2). Suppose 0 = -0*p + 3*p - 51. Calculate the remainder when l(q) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7592*-0.252.\nAnswer: -0.1913184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:33 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - 3.1. Let v = 5 - 4. Let d = -0.8 + 0.6. Which is the closest to d? (a) v (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.2 + -74.1. Sort u, 3\/13, -2\/15, -2 in descending order.\nAnswer: 3\/13, u, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from wwwwwgryywwwdyry.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -2 - 0) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 1422630*x + 2845240.\nAnswer: 5*(x - 284524)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -261\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3416 rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3390634 + -0.339. What is b rounded to six dps?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*p**3 - 23*p**2 - 8*p - 46.\nAnswer: 162*p - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y\/(y\/y**13))\/y))\/y)\/y*y\/(y*(y*y*y**(1\/2)\/y)\/y)*y)**(2\/37))**(-27) assuming y is positive.\nAnswer: y**(675\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -3 + (6 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 21*u**2 - 198*u + 46. Give y(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 85?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -2 + (3 - 0). Put -1, 2, p in descending order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 29*z**2 + 39*z + 313. Let t be o(-28). Let f(c) = 2*c**2 + 4*c - 34. Let p(q) = -3*q**2 - 7*q + 68. Determine t*f(h) + 3*p(h).\nAnswer: h**2 - h + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1975 by 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w + 0 + w - 6 + 2*w**3. Let l(x) = 7 + 0 - 2*x**3 - 8*x**2 + 8*x**2 + 8*x. What is -7*f(c) - 6*l(c)?\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-49)*(-77)\/(-22))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r + 13. Let c(s) = -61*s + 26. What is 6*c(v) - 13*y(v)?\nAnswer: 11*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 124544940 to the power of 1\/2, to the nearest integer?\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -776051 + -4?\nAnswer: -776055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (10 - 8) + (6 - 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwssw. Give prob of sequence sw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13914035247 + 17*q**3 + 6957017625 + 6957017622.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 21 + 9)*(224 - 13*f - 224) + (1 - 1 + 1)*(-f - 2*f + f) as y*f + b and give y.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -31*c - 86*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-14)*4\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*j = -3*j - 28, -12 = -3*j. Let i = 17 + o. Let d(m) = 11*m**2 + m. What is the tens digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 50*d. Let m(n) = 67*n**2. Give m(g(o)).\nAnswer: 167500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.5 - -3.5. Put 1, 2\/9, -1\/4, a, -0.1 in descending order.\nAnswer: 1, 2\/9, -0.1, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**6\/27 + 11*p**5\/45 + p**4\/2 + 8*p**3\/27 - 2*p**2\/9 - p\/3 + 2441. Factor l(z).\nAnswer: (z + 1)**3*(z + 3)*(2*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 5\/16 (c) 0 (d) -0.3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*a**6 - 318*a**2 wrt a?\nAnswer: -7560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**4\/3 + 5*d**3\/2 - 694*d**2. Calculate p(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011776885 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 473 + -478. What is the closest to 0 in -4\/5, 2, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-33) + (-70)\/(-22). Suppose -5*x - 41 = j*d - 171, -2*d + 56 = 2*x. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*j - 11, 10*j - 9*c = 9*j + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + -121. Suppose -5*m = -c*m + 16. Let z = 8 + -6. Solve -7 - m = z*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.477631cm?\nAnswer: 0.03477631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = -d + 33, -5*s - 73 = -4*d. Let m(l) = -l**3 - 12*l**2 + 12*l - 18. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1269 - k**2 - 1269 + 25*k)*(4*k - 2*k - 3*k).\nAnswer: k**3 - 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16125478, -16125477, -16125476?\nAnswer: -16125475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6 + 0 + 3 - 3*w. Calculate the lowest common multiple of b(-4) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 + 1292*u**3\/9 + 1778*u**2 + 47680*u\/9 - 3800\/3 = 0.\nAnswer: -57, -10, -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 198136*c**2\/5 - 3765186*c\/5 + 2378088 = 0. What is c?\nAnswer: -99087, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + j + j**2 - 20 - 2*j**4 - 10*j - 2*j**3 + 15*j**4 - 10*j**4 in the form k + s*j**4 + b*j**3 + m*j**2 + t*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 5*f**2 - 12*f - 34. Let q(g) = 4*g**3 - 5*g**2 + 11*g + 34. Let k(j) = 2*q(j) + 3*w(j). Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -176 - 640. What is the highest common factor of 1734 and l?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k + 25 = 99*k - 5*m, -4*k + 38 = -3*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 14 = 8*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -9*o**4 - 56*o**3 - 125*o**2 - 118*o - 40 = 0.\nAnswer: -20\/9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10213266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 3. Let h(t) = t**3 + 8 - 3 + 3 + 8*t**2. Calculate the remainder when h(d) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -0.1 (c) -1 (d) 34 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 3*t - 176, v - 3*t - 88 = 0. What is the smallest common multiple of v and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 71 + 150 - 72 + 0*d. Let v(l) = -l. Calculate v(m(a)).\nAnswer: -5*a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.214, 21, 59, -1\/10, 5\/4?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d + 4. Let v(t) = -t + 1. Let u(r) = 7*r - 4. Let z(i) = -2*u(i) - 6*v(i). What is -3*j(k) + 5*z(k)?\nAnswer: 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from fububuuffuuuuf.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15646 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 313 or 10013\/32?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131368?\nAnswer: 2, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -3. Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9720 or 142?\nAnswer: -9720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.056.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2780345 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 74 = 2*x, -2*x + 2*k + 326 = 332 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -88?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -x - 5*z, -8*x + 6*x - z + 7 = 0. Solve -x*b = -7 - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2879\/3462 - 1\/577. Let a = 2 + -54. Let q = a - -34. Sort q, i, -5 in ascending order.\nAnswer: q, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3363*w**3 + 3363*w**3 - w**4 - 128*w**2 + 2*w to the form i*w + o*w**4 + u + t*w**3 + q*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcd when three letters picked without replacement from jdjdddrjddxrrjcjjjx?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*t**3 - 401*t**2 - 1078511.\nAnswer: -312*t**2 - 802*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*t + 3*m, t - 31 = 2*m + 11. Let l be (-3)\/21 - (-174)\/t. Suppose 0 = l*a - 3*a - 79. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174*k*m**2 - 10*k + m**4 - 12*m - 11 wrt m?\nAnswer: -348*k*m + 4*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*n + 15 - 16 + 794 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81581*f - 2 + 163114*f + 4 - 81535*f + 0 - 2.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from symys. Give prob of sequence ms.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i - 56. Let p be a(-6). Suppose 10*k - 3*k - 182 = 0. Let v = p - k. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -2\/21 (c) -68 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69450697 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1*-6 + sqrt(17) + sqrt(17) + (-1*sqrt(833))**2.\nAnswer: -4*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11*r*r**(2\/3)*r\/r**(27\/5)*r*r\/(r**(-32)\/r)*r assuming r is positive.\nAnswer: r**(664\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 0.069609.\nAnswer: 0.00278436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/9)\/g*g)**40*(g**(1\/15)*g)**(2\/17) assuming g is positive.\nAnswer: g**(3496\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.8784515 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + 22*k. What is w(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 89248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16315133 (base 7) to base 5.\nAnswer: 401142142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319.749 - 0.251. Let u = d - -324. Which is the nearest to -0.3? (a) 2 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/25 - (-72)\/30. Find the third derivative of 10 + 0*r**3 + 0 + r**2 - 33 + 2*r**m wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Let l(o) = 6*o**2 - o - 1. Let m(q) = 5*q**2 - q - 1. Let p(d) = 4*l(d) - 5*m(d). Let u be (56\/16 + -3)*(5 - 3). What is u*v(f) - p(f)?\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48\/5*x - 12\/5*x**3 - 8\/5*x**2 + 64\/5 - 2\/5*x**4 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524344 (base 6) to base 9.\nAnswer: 64231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9328335 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: Expand (-1 + 4*h + 1)*(7*h - 3*h**2 + h - 7*h)*(-h**2 + 3*h**2 - h**2).\nAnswer: -12*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g + 2*g**3 + g**3 + 6*g**3 - 3*g**3 + (-2 + 2*g + 2)*(0*g**2 - 3*g**2 + g**2) + 5*g**3 + 3*g**3 - 5*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(0*g - 2*g + 5*g) - g - 1210 + 757 - 933 to the form m*g + x and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/((-2)\/((-18)\/(-3))))\/((-75)\/20). Factor j*x**3 + 0 - 4\/5*x - 2\/5*x**4 + 2\/5*x**2.\nAnswer: -2*x*(x - 2)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598814 divided by 299407?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 2, -23, -82, -187, -350?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1243 and 115260?\nAnswer: 1267860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539))*5 + 2.\nAnswer: 7 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (0 + sqrt(2736))))*6 - ((sqrt(2736) + 0)*-2 - sqrt(2736)))*5)**2 - (3 + -4 + 1 + -1*sqrt(2736))**2.\nAnswer: 270864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 2. Let v be m(-2). Put -2, -3, v in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*w**3 + 46.\nAnswer: -468*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28a34 (base 12) to base 3\nAnswer: 2212212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*y - 10 + 53, -5*y - 37 = 2*p. Which is smaller: p or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -21 - (-7 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 42 = -12. Let u(r) = 17*r**3 - r**2 + 3*r + 1. Let d be u(o). What is d rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777541 to the power of 1\/2, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -426, -5, 5, 1 in increasing order.\nAnswer: -426, -5, 1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokookkooo. What is prob of picking 3 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1104541, -1104544, -1104549, -1104556, -1104565?\n\"Answer: -m**2 - 1104540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1643736\/55 + 29885. Find the common denominator of x and (9240\/700)\/((-4)\/5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1407130 to the nearest 10000.\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*z - 2 + 106 = 0, -3*j + 71 = -4*z. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -0.2. Let a = i - -4. Let y be (3381\/4508)\/(-2 - 34\/(-32)). Sort a, -0.2, y in descending order.\nAnswer: a, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 2*u)*(1 + 0 - 2) + 3 - u - 3 + (-4 + 2 + 3)*(-1 + 1 - u) + u + 2*u - 5*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 4, t: 7, m: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.049, 0.14, 7?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1619*x - 3503*x + 162*x - 6218*x + 1240*x in the form h*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 8*c**2 - 6. Suppose j + j = 7*j. Let x(k) = -147 + 148 + 3*k**2 + j*k**2 - 2*k**2. Give -b(h) - 8*x(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 51. Let o = u - 21. What is the remainder when 26 is divided by (-7 - o)*(-7)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4, 4.\nAnswer: -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27233 and 1525289.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 10*k**2 + 11*k - 13. Let a be r(9). Suppose 3*y + 4*i - 589 = -0*i, a*y + 4*i - 971 = 0. Suppose -95 - 96 - 3*j + y + 3*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220025 at most as big as -4244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a7574 - 6?\nAnswer: 3a756c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 + 2*j**3\/5 - 36*j**2 + 230*j - 425.\nAnswer: (j - 5)**3*(j + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1216) - sqrt(1216)) + -5 - (2*2*sqrt(19) + sqrt(19))*-1 - (-3*(sqrt(114)\/sqrt(6) + 4 + -4) + 4))**2.\nAnswer: -144*sqrt(19) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 137. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-30)*(-4)\/6)\/((-745920)\/73710) and 59\/8.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/6 + f**2 - 9*f. Let t be a(-2). Suppose -r + t*r = -15. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**2\/2 + 4*q + 1. Let h be k(0). Let t be (-1)\/4 - 7\/h. Sort t, 5, 2\/19 in descending order.\nAnswer: 5, 2\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698498040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-4)*(-1)\/3. Let k = -425.785 + -0.615. Let i = -426 - k. Which is the smallest value? (a) 0 (b) -1 (c) s (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 496.6441 millennia?\nAnswer: 5959729.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 3*w - 10. What is the nearest to 2 in 4, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-17 - -42 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-3))\/((-70)\/(-105))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-9 - 2) - (-10 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1 - 2)*(-1310)\/1965. Solve -6*u - 17 = -9*u - q*c, -4*u = 2*c - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 <= -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(325) + -1 - sqrt(325)) + sqrt(325) + sqrt(325) + sqrt(325) + 2 + -5 - (-2 + (0 + sqrt(325)*-1 - (1 + sqrt(325))*-3)))**2.\nAnswer: -30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/9 + 1\/(-3). Suppose -4*o + 13 - 1 = 0. Suppose 4*t + 9 = 1. Sort t, d, o in decreasing order.\nAnswer: o, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 3. Let d(t) = -2*t + 9. Let g(x) = -x + 4. Let l(c) = 3*d(c) - 7*g(c). Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/75*-9)\/(6\/45). Solve -2*j = -s - 7*j + b, -j = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 200*w - 4*w - 180*w to q*w + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/2 of a minute?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -1.8. What is the smallest value in u, 5, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*a - 51917 + 51917 + 81*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/3135 and 58\/21.\nAnswer: 21945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/3 + (-1548)\/(-27) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5760, -5642, -5522, -5400, -5276?\n\"Answer: r**2 + 115*r - 5876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3185 + (-7)\/((-21)\/24). Suppose 0 = 5*h - 8363 + f. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100093788 divided by -36\nAnswer: -2780383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356623.\nAnswer: 89, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(1216) + 2)*6 + -1 + -2*(-2 + sqrt(1216)) + 3.\nAnswer: -112*sqrt(19) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*f + 64, 3*l = 3*f - 6*f + 30. Suppose f*m - 103 + 43 = 0. Suppose 16 = m*h + 3*h. Solve h*r + 10 = 4*g, -3*g + 1 = -r - 2*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 1001.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 585?\nAnswer: -584.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*n - 11*n = -1392712, 4*b - 1392704 = -5*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 = -l. Let n(z) = -1 + 5 + 0*z**2 + z**2 - 5*z - 5. What is the remainder when n(7) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5585 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 16*m + 114 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26288 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 322. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 7:11 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 4. Let d(f) = -11*f - 7. Let x(k) = 31*k + 20. Let n(t) = 17*d(t) + 6*x(t). What is -5*n(o) - v(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/310 and 67\/50?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {o: 4, s: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 7*q + 28*q. Sort 0, q, -1 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5394, -5387, -5382, -5379, -5378?\n\"Answer: -t**2 + 10*t - 5403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 55 = -7*l - 5*q, 58 = 5*l + 2*q. Let r = 21 - 13. What is the greatest common factor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3530*q**3*z**6 + 236*q**3*z**3 - 294*q**3*z**2 + 620*q**3*z - q**3 - q**2*z**2 wrt z.\nAnswer: 423600*q**3*z**3 + 1416*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -320 (b) 732 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 3*o + 4. Let r be k(1). Sort -48, -5, r, -2.\nAnswer: -48, -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152181.\nAnswer: 3, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a**4 + 6*a**6 + 23\/3*a**3 + 0*a + 0*a**5 - 2 + 0*a**2. What is the third derivative of v(n) wrt n?\nAnswer: 2160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, 4, 79, -1\/3, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v - 5. Let b be t(4). Let q be 1 + b + 8\/4. Let r = 10 - q. Do 4 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + r - 2. Let d(o) = 3*o**2 + o - 2. Let b = 29597 - 29602. What is b*d(u) + 4*i(u)?\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = -2*j, -2*r = -0*j + 5*j + 30. Let u(d) = -2*d - 8 - d**3 + 2*d**2 - 6*d**2 - 2*d**2 + 0*d**3. Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42257052536 - -0.02?\nAnswer: 42257052536.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/180 and -19\/14172960.\nAnswer: 42518880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143777.\nAnswer: 61, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 21. Suppose 29*c - 228 + 344 = 0. Determine g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 10 = 5*f, -3*r + 3*f - 4 = 5*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g. Let l(m) = -74*m**2 + 3. Calculate l(o(c)).\nAnswer: -1184*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/113, -0.3, -46 in decreasing order.\nAnswer: -2\/113, -0.3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 121*v - 6 = 123*v, -5*g + 2*v + 30 = 0. Suppose -3*z = -5*w - 43, -3*w + 2*w - 35 = -5*z. What is the lowest common multiple of g and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580688909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 60 (c) -0.6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42518, -42509, -42498, -42485, -42470, -42453?\n\"Answer: a**2 + 6*a - 42525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -67, -74?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -415*o - 7. Let i be z(-5). Suppose 2*u - 1782 = 3*h, -2*u + i = -5*h - 906. What is the common denominator of 49\/6 and 2\/3 - h\/(-48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 48474520*k + 48474525.\nAnswer: -5*(k - 1)*(k + 9694905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose u = -2*k - 0*k + 32. Suppose k + 9 = g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488287.5mm in nanometers?\nAnswer: 488287500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8 + 5*g**2 + 8. Let c(b) = -2*b**2 - 8*b + 4. Let m(t) = -2*t + 1. Let d(v) = c(v) - 4*m(v). Determine x(d(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23265 + -220?\nAnswer: 23045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067474 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 11*l + 40. Solve v = 5*v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 1 + (-2)\/2. Let a(y) = 4*y - 1. Let b(f) = f - 1. Let q(x) = a(x) - 3*b(x). Give q(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14429806?\nAnswer: 2, 107, 67429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**25\/((i**(-3\/10)\/i)\/(i*i*i\/((i*i\/(i**(-4)\/i))\/i))) assuming i is positive.\nAnswer: i**(-267\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 9*r**2 - 3*r + 9. Let n be m(9). Let o = n + 36. Suppose -14*l + o = -11*l. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-42 - (0 - 1)). Suppose -66*k = 35*k - 18382. What is the highest common factor of k and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 7*y + 21. Let n(c) = -2*c**2 - 6*c - 20. Calculate -7*n(w) - 6*q(w).\nAnswer: 2*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*(-115)\/(36225\/(-490)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/32 and 85\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let j be (-9)\/(-3) + 0\/1. Let a(v) = 0*v - 2*v - j*v. Determine l(a(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262189092 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/118 and -85\/9068.\nAnswer: 535012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 9*m = 14970. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 7 (b) -2 (c) -15 (d) 5 (e) 0.121 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4268607*a*c - 800509*c wrt a.\nAnswer: -4268607*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303826 - 8596 = 65*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.9 + -51. Let v = i - 5. Suppose 9 = -a - 3*x - 3, 2*a - 2*x = 8. Is a equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002678962 rounded to 5 dps?\nAnswer: 0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 - 15 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Suppose 25 = -5*s - 2*u, -2*u - j*u = 0. Let f(p) = -p**3 - 7*p**2 - 10*p + 3. Let x be f(s). Solve 3*c = 0, -5*q + 5*c - 7 = x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.1 and 9.73.\nAnswer: -370.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 - 903 = -3*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2574 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471 + -466. Suppose 5*w - 25 = -t*r, -w - 4*w + 5*r = -5. Solve 0 = -4*a - 20, -5*c + w*a + 3 = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537622096?\nAnswer: 2, 3, 17, 59, 52709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 151963045 to the power of 1\/2, to the nearest integer?\nAnswer: 12327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + c + 2315 - 1523 in the form d + k*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-7 - (-7 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 23 - 41. What is the remainder when 44 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871060?\nAnswer: 2, 5, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(76)\/sqrt(4)*-5)**2 - (-1 + 2*sqrt(475)))*-5.\nAnswer: -2505 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpmp when four letters picked without replacement from mpsmpmsss.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 17. Calculate the remainder when 47 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 19. Let n be (2\/(-6))\/(9\/(-54)). Suppose n*i = 3*g + 20, -25 = 5*g - i - 4*i. Let d be y(g). Let b(z) = 6*z**3 - z. Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzrxamxxxzxrzrxxmxz. What is prob of sequence zrr?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*12\/(-80))\/((-120)\/32).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*j - 0*u - 7, 2*j + 3*u = 7. Let a be 2 + 36\/5 + j\/5. Calculate the greatest common factor of 225 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113238 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9 = 5*g, -5*p - g - 22 = g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003241216 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2011935 is divided by 10264.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/3))**25)**(2\/7)\/((a**(-2)\/(a*(a\/(a*a**(1\/5)*a))\/a))\/(a**(1\/4))**(13\/4)) assuming a is positive.\nAnswer: a**(6709\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327206 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 442050443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-1\/8)\/((u\/(u*u*u*u**(-23)))\/(u\/u**(-4\/21))))**29 assuming u is positive.\nAnswer: u**(-193633\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 124.4. Let c = -9.4 - n. Let k be 25\/60*1\/5. Is c less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 + -13.04.\nAnswer: -13.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646571911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.71 + 0.29. Which is smaller: -22 or a?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -151009, -151011, -151013, -151015?\n\"Answer: -2*i - 151007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 + -53. Let o = -112 + v. Suppose q + o = 2*h, 4*h = h - 5*q + 74. Calculate the remainder when h is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**2 - 68802615*p - 137605210 = 0.\nAnswer: -13760521, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-16))\/((-3)\/6). Which is the second biggest value? (a) w (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l + 4. Let f be (4 - 2)\/(3 + l). Suppose 0 = 12*a - 49 - 11. Solve f = -2*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (1*(sqrt(1216)*-3 + -3))**2 + -4 + -1 + sqrt(1216) + -1*sqrt(1216)*-1).\nAnswer: -32850 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1300)\/(-1560))\/((-5)\/4). Let f = 0.1 + -0.3. Let r be (-9)\/10 + 6\/(-10). What is the third smallest value in v, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*i - 26, 2*i - 1 = 3*h - 0. Let j = h - 2. What is the lowest common multiple of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1\/(-4) + 1). Suppose -2*a + 3*p + 15 = 5, 0 = -c*a - p + 48. Suppose -q - 5*u = a, -24 = -4*q + 4*u - 7*u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10449 and -10432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 6*i**4 + 5*i**4)*((-6*i - 7*i + 4*i)*(-2 + 0 + 1) - 4*i + 8*i - 6*i)*(17 + 2 + 9).\nAnswer: 196*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/7, -6, -5, 2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 16 = 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 16. Let o(b) = -2*b**2 - 10. Let c(v) = -v**2 - 50. Let g(u) = -c(u) + 5*o(u). Give g(i(x)).\nAnswer: -81*x**2 - 864*x - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411864982 to the power of 1\/2, to the nearest integer?\nAnswer: 66422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6 (b) 15 (c) 2\/39 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 416 = 3*j - u, 2*u = -2. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -25. What is the tens digit of (24\/d)\/((-4)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 10) to base 8.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/7 - 3181*d**4\/7 - 76794*d**3\/7 - 403726*d**2\/7 - 333575*d\/7 + 817275\/7 = 0.\nAnswer: -17, -5, -3, 1, 3205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1824068, 1824063, 1824054, 1824041, 1824024, 1824003?\n\"Answer: -2*l**2 + l + 1824069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -92*l**2 - 41*l - 832. Let y(w) = -46*w**2 - 19*w - 415. Let b(z) = -6*r(z) + 13*y(z). What is the second derivative of b(a) wrt a?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - s - 2 + 6*s + 4. What are the prime factors of p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2907\/171527 or 1?\nAnswer: 2907\/171527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2*p + p + 18.\nAnswer: -p + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*q = 18, -2*n + 2*q - 7 = 5. Let b = 31 + n. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -49\nAnswer: -11\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66793423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -w - 5*k, 0 = -2*w - 5*k - 6. Suppose 0 = 6*r - 8*r + w. Solve -3*n - r = -16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.67 - 23.8. Let j = 0.63 + i. What is j rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1671.08 + 1671. Let h = -157.4 + 157. Put h, q, 5 in decreasing order.\nAnswer: 5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/5922 and 29\/13536?\nAnswer: 94752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = t - 3, 4 = 7*c - 3*c + t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (11 - (8 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16 and (110\/96)\/(4\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189359044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2582063443 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/540 and 55\/36.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*((0\/11)\/13)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 21990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121222210 + 112000002?\nAnswer: -20002222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1113 = c, c - 6940 + 1383 = -5*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 2*n + 0 - 3*n + 4 + 2*n**2. Let d(k) = -k**2 - 9*k + 7. Let j(o) = 3*d(o) - 5*l(o). Does 4 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 697426813\/22 + -31708510. Let r be -7297 - (1\/4)\/(1\/(-4)). Let h = r - p. Calculate the common denominator of h and 97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l + 5. Let k(v) be the first derivative of v**3\/3 - 2*v**2 - v - 3. Let x be k(3). Is a(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10907.3 + 10908.49707. Let x = 42.8 - 44. Let a = b + x. Round a to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386660093 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6975 and 83\/225?\nAnswer: 6975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 443, 889, 1325, 1745, 2143?\n\"Answer: -n**3 + n**2 + 450*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 + -223. Let w be (209\/22 - q)*(-8)\/(-7). Let g(z) = -z**2 + 8*z + 3. Let i be g(8). What is the greatest common factor of w and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 48 = 3*a. Calculate the greatest common factor of a and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and -107\/714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18550333, -18550341, -18550347, -18550345, -18550329?\nAnswer: -18550293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/19 (c) 0.09 (d) -1\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 times 5667?\nAnswer: -68570.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -101?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8 = -2*l, 87*l = 88*l + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j = 51*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -32 - (2 + (-7 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9202130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 14*r - 4. Give c(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10868 and 296780.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x + 77*x = 3*q - 1, 21*x - 141 = -3*q for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let j = z - -3.2. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*p - 22*p - 26*p + (-3 + 6 - 2)*(4 - 4 - 2*p) - 3 + 3 - 4*p - 4*p + 6*p + p + 2.\nAnswer: -24*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -a?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 91. Is ((-2310)\/(-63))\/(0 - r\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 55, 5 in increasing order.\nAnswer: -1, 3, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d83 + 84?\nAnswer: e07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/3 (b) -0.3 (c) 0.0693841 (d) 2\/9 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c. Let w(b) = b**3 - 6*b**2 + 9*b. Let z be w(4). Let s = z - c. Solve -s*o - 4 = -n + 3, -n - 5 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - 3) + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -5*q. Solve q*c - 2*c - 10 = 0, 3*d + 2*c + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.4 - 22.4. Let o = 1.2 - -58.8. Let u = o + -60. What is the third smallest value in z, u, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/3)*a))**(2\/145))**(1\/4) assuming a is positive.\nAnswer: a**(-2\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 15. Let z(i) = -i**3 - 5*i**2 - 2*i + 3. Let l be z(-3). Let r be g(l). What is the common denominator of -97\/10 and ((-798)\/30)\/(r\/(-5))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {n: 5, i: 6, y: 4, j: 1}.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31224 = -4*t + 5*y, -73*t + 7821 = -72*t - 5*y. List the prime factors of t.\nAnswer: 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/5 (c) -91 (d) -3 (e) 18 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*r - 68 = 2*x, -x + 3*r + 33 = 0. Let d be x\/(-10) - 3\/15. Let h(o) = -o**3 - 4*o**2 + 3*o - 4. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000921679 rounded to six decimal places?\nAnswer: 0.000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k - 18. Let p(y) = -3*y - 4. Let i(z) = -2*g(z) + 9*p(z). Let u(o) = 4 - 4 - 18*o**2 + 12*o**2. Calculate u(i(x)).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*k + 2541 = 0, -i - 2*k = -379 - 248. What are the prime factors of i?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:28 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + 31 + (30 - 30).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1049.3710513 + 0.26.\nAnswer: -1049.1110513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)*m**6*(m**1\/m)**32 assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w + 184*w - 84*w + 251*w.\nAnswer: 316*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1474*o**2 - 456*o + 118*o - 329*o + 165*o - 161*o wrt o.\nAnswer: 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 1. Let i(w) be the first derivative of w**4 + w**2\/2 + 4*w - 10. Let r(g) = g**3 - 2*g**2 + 2. Let h be r(2). Give h*i(v) - 6*s(v).\nAnswer: 2*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 + 416*c - 931. What is g(67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + (6 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9558 - -1213873\/127. Let d be 2\/(-7) - (-11111)\/19558. Let b = d - n. Calculate the common denominator of -83\/12 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-29 - (-1 + -15) - (-27 - -2)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g - 4\/3*g**3 + 1\/15*g**5 + 0 - 1\/6*g**4 + 4*g**2. Find s, given that r(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*b - 12, d + 4*b = b - 9. Suppose d = 2*q - 0 - 6. Suppose 6*r + 5*u - 25 = 3*r, 5*u = 5*r - 15. Solve r*z - 2 = q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 24912\/(-1560) + 88\/40.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.01871l in millilitres?\nAnswer: 92018.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 242527818 divided by -12764622\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6318*y**3 - 18777*y**3 + 6317*y**3 + 2*y**2 + 6146*y**3.\nAnswer: 4*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-15) - 76\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*y**4 - 33 wrt y.\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (2 - 0 - -52) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18579 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 862*p - 453. List the prime factors of q(10).\nAnswer: 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 60 = 4*g, g - 6584 + 6582 = 2*z for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -27 + 5\/(100\/240)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.4 + -2.4. Let d = k + -10.1. What is the smallest value in 2, 3, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -63\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 4041*x + 81 - 26 - 34 to the form n + s*x and give s.\nAnswer: -4041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 5*l**2 + 3*l. Let s(p) = -p**2 + p. Give 4*s(g) - z(g).\nAnswer: 3*g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*w = 910*w - 474 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeommeeomemeoeeooom. What is prob of picking 2 e?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 24. Calculate the smallest common multiple of m(-5) and 8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9641*q + 1584 = -9713*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14933ab - 5?\nAnswer: 14933a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3) + 5 + (sqrt(2) - (sqrt(2) - 3*(sqrt(2) + -1))))**2 + ((-2 + sqrt(288))*-2)**2)*-6.\nAnswer: -7224 + 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1562)\/((-808)\/30 - -27) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/49091461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/54 and -87\/1736?\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*y - 3 + 3 - 524*y + 265*y.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -15*o + 7. Let v be 5*o*(-4)\/(240\/36). Solve 0 = z - 2*z + v*h + 3, 0 = 3*z - h + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o*o)\/o*o**(-2)\/o)\/(o**1)**(1\/16)*((o*o*o**(-1)\/o)**(-1\/52))**(-9\/10) assuming o is positive.\nAnswer: o**(-49\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4477)\/(-232320)*(-3)\/6*(-8)\/10 and 67\/28?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146472\/(-3128) - 4\/23.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 38 + 0*c**2 + 0*c**4 - 26\/3*c**3 - 31\/5*c**5 + 0*c. Find the third derivative of v(a) wrt a.\nAnswer: -744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -12. Let i = 2.8 + 0.2. Which is the biggest value? (a) i (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -5*c**3\/6 + 11*c**2\/2 + 6*c. List the prime factors of m(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.797123?\nAnswer: 0.0797123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -52, -0.1, 0.3, 1.80259 in increasing order.\nAnswer: -52, -0.1, 2\/9, 0.3, 1.80259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l + 8. Let g be f(-7). Suppose g*r - 34488 = 16*r. Suppose 15*b - 19*b = -r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116991.\nAnswer: 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30795 (b) 1\/2 (c) -2 (d) 9 (e) -2\/7 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 15*h + 82*h - 75*h + h + h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - -17.85. Let y = 17.9999988 - p. What is y rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + (-35)\/(-20). Let z be (-4)\/(-8)*-4 + 5. Find the third derivative of -2*o**3 - 3*o**2 + 0*o**t + 0*o**z wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.4 + -98.74. What is h rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -16. Suppose -4*w + 5866 = y*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + c**3 + 4 + (-2*c + 1 - 1)*(3*c**2 + c**2 - 3*c**2) + 4 - 4 + 2*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1461, -2936, -4419, -5910, -7409, -8916?\nAnswer: -10431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231.235618 to 1 dp.\nAnswer: 1231.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 104034.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -1131, -1, 4, -277.\nAnswer: -1131, -277, -26, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) 3.6 (b) -75 (c) 3\/7 (d) 0.3 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136167 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -7 + 3 + 4 + 2 - -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 311642*o**2 - 12141494288*o + 109248207048.\nAnswer: -2*(o - 77906)**2*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + u. Let o be d(-1). Suppose o*y = y + 10. Suppose -4*i + 3*s - 30 = -5*i, -2*i = -y*s - 27. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/20 + 9*k**3\/2 - 1396*k**2. Suppose p(v) = 0. What is v?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:44 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 4, 3, 5, -5 in increasing order.\nAnswer: -5, 3, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 2, l: 1, c: 2, d: 1, h: 1}. What is prob of sequence heeh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 11*l**2 + 4. Let g be b(-11). Suppose -o + 1 = -4*m - 1, -g = -2*o. Solve m = 4*k - 0*k + 5*n + 2, 4*n = -4*k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2\/(-3))*(-4)\/(-4). Let w(u) = -15 + m + u + 0*u. Calculate w(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 - 1\/12*z**4 + 0*z**3 + 0*z + 5*z**2 - 1\/60*z**5. Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -140099496.1?\nAnswer: -140099496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 0*c - 4*n - 10 = 3*c, 433*n - 6 = 3*c + 434*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 + -4 + 4 - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 333 (b) -0.8 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*f - 16, 3*f + 17 - 1 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 94*z**2. Let t be m(47). Let r = -2 - -7. Solve r*d = 4*n - t*d + 31, -n + 11 = 5*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -f + 5, -5*b + 14 = -f - 3*f. Solve b*j + 12 - 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/1134)\/(180\/(-525))\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340963321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.922 - 0.122. Let i = 9.7 + j. Round i to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/((b*b**(-3))\/b)*b**8\/(b*b**(-5\/6)))\/((b*b**1*b)**17)**(-38) assuming b is positive.\nAnswer: b**(81839\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 502940295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002382 rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9467 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -69, -68, -67?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408074 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 v when three letters picked without replacement from {y: 1, a: 2, l: 1, g: 1, v: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -1) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 12. Let v be l(-10). Let y = 17 - -29. Calculate the remainder when y is divided by (-231)\/(-14) - (-1)\/v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**4\/7 + 30318*b**3\/7 - 38555616*b**2\/7 + 646713048*b\/7 = 0. What is b?\nAnswer: 0, 17, 2518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30503051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.94, 0.4, 1.9, -2 in decreasing order.\nAnswer: 14, 1.9, 0.94, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2851\/9, -3, 2\/9.\nAnswer: -2851\/9, -3, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/187 and 14\/663.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*p - 3*b + 5, 0 = -4*b - 8. Solve a = -p*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 3:14 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 251. Let h(m) = 4*m - 126. What is 5*h(q) - 3*z(q)?\nAnswer: 2*q + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -40178, -6, -4 in descending order.\nAnswer: -4, -6, -40178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 0.19, -4, 90 in descending order.\nAnswer: 90, 0.5, 0.19, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5565 - -8604. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*o = -10, 0*l - 2*l = -4*o + 20. Suppose -4*u - 11 = 3*z, -5*u = -2*z - l*z + 31. Suppose p + z*x = 7, 2*x = 2*p - 0*p - 14. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878006?\nAnswer: 2, 19, 53, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9469.94 + 9470. Which is the nearest to 1? (a) 1\/4 (b) 6 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7138*t**3 + 4*t**2 + t. List the prime factors of h(-1).\nAnswer: 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 64350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 59*c - 56. Let i(s) = 119*s - 96. Determine -3*i(d) + 5*m(d).\nAnswer: -62*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-960))\/((16\/(-252))\/2).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221802 >= -4879675\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 570709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 - 324*b**2 - 4016*b + 76560 = 0. Calculate b.\nAnswer: -58, -33, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.035 - 0.095. Let l = 85.197 + -0.197. Let y = 83 - l. Which is the nearest to i? (a) -5 (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.8 - -12.6. What is the third smallest value in 5, 16, v?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 1694?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, y: 1, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 449984, -3, 0, 7 in ascending order.\nAnswer: -3, 0, 7, 449984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -308, -801, -1636, -2897, -4668, -7033, -10076?\nAnswer: -13881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k - 429. Let u be v(-24). Sort u, -15, 0, 2\/11.\nAnswer: -15, 0, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 37\/2. Find the common denominator of -93\/2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -0.1 (d) -16 (e) 206 (f) 1 (g) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*u + 9611992, -33*w + 38*w = u + 2403020. Round u to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f**2 + 17*f. Let a(l) be the first derivative of 5*l**3\/3 + 3*l**2 - 118. Give -17*a(c) + 6*k(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/6 + (-3)\/9. Suppose -12 = z*s - 2. Let r = -0.38 + 0.08. Put s, r, 2 in ascending order.\nAnswer: s, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 15 (b) 2 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -7910 (c) 3\/8 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwppppwwwpwpwppppp. Give prob of picking 3 w and 1 g.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34316713 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4250 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2444\/109?\nAnswer: 2444\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8708 and 7069412?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 3 (c) 31 (d) 43\/2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22998, 45998, 68998, 91998, 114998?\n\"Answer: 23000*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*46 + -2 - -2. Let i = 263 - 256. Suppose -31 = -j - 5*u, -2*j - k = -i*j - 4*u. Calculate the greatest common divisor of 176 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291166873.\nAnswer: 29, 10040237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 7 = -12*w. Let c be w\/(21\/(-6)) - -3. Solve 2*a + c = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:59 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*f**3 - 529*f**2 - 85423 with respect to f.\nAnswer: -255*f**2 - 1058*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:13 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5480197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 6*x**2 - 4*x. What is the least common multiple of i(5) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 68*h + 45. Is l(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*g*j*p**3*s - 910*g*j*p**3 - 397*g*j*p**2 - 3*g*j*p*s - 2*g*j*s + 34*j wrt p.\nAnswer: -1074*g*j*s - 5460*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1278 and -133.8.\nAnswer: -170996.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (315 - 1361 + 743 - 2410)*(i + 0*i - 3*i - 4*i + 2*i + 3*i + (2 - 1 + 1)*(0*i + 0*i + i) + i + i - 4*i + 1 - 2*i - 1) to the form w*i + u and give w.\nAnswer: 8139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:51 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - 0) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y**17*y)\/y))*y*y**(4\/13))**33 assuming y is positive.\nAnswer: y**(7854\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p + 93. Determine z(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -21) + (4 + 0 - 2 - 16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131692989 is divided by 1235?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11465105?\nAnswer: 5, 383, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46, -87, -126, -163, -198, -231, -262?\n\"Answer: m**2 - 44*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108067 is divided by 218.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252173 is divided by 687.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210098 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8203, 16401, 24597, 32791, 40983, 49173, 57361?\n\"Answer: -m**2 + 8201*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/747875 and -2\/1625.\nAnswer: 9722375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 14*z**2 - 35*z - 52. What is i(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 115.6. Suppose 2*o + g - 8 = 0, -3*g - 22 = o - 31. Sort o, h, -0.3 in decreasing order.\nAnswer: o, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:51 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9 and 18\/(-24) + 1 + (-26)\/(-56)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 393160550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 2*k + 4*k. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -531879234, -531879239, -531879246, -531879255, -531879266?\n\"Answer: -j**2 - 2*j - 531879231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*p + 19 = 3*g - 264*p, -2*p + 18 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7.1\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:04 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 387 by -387.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164430 and 240?\nAnswer: 1315440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*j**2 - 165*j**2 - 169*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -154*u**3 - 33260*u**2 - 629766*u + 16380 = 0?\nAnswer: -195, -21, 2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*t - 43, -4*t - 5 = -3*t. Find the second derivative of -3*f + 4*f - 6*f - o*f**4 wrt f.\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17324731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 5, 3, 31, -1, -5 in decreasing order.\nAnswer: 31, 24, 5, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -55937*v - 167616. Determine n(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -52. Let b(a) = 8*a + 1. Let g be b(2). Let l = g - c. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9755 by -1.\nAnswer: -9755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -15, 8, 4, 10, 220 in ascending order.\nAnswer: -15, -3, -1, 4, 8, 10, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b - 88?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.224168 + -58.667768. Let t = l + 58.5. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*q - 38*q = -3*m + 32*q + 27, -4*m - 2024 = -338*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from awww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 greater than -304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 1228*u**2 - 8387*u**2 - 16 - 10*u.\nAnswer: -7159*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, n: 4}. What is prob of sequence hn?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 6*y + y + 295, 2*y + 2 = 0. Let i = v - 110. Let b = i + -120. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221121012012 - -10001?\nAnswer: 221121022020","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**4\/4 + 7*c**3\/3 - 3*c**2 - c - 204. Let i be (6\/18)\/((-1)\/(-18)). Give r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {z: 1, d: 1, p: 1, t: 1, e: 1, v: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592, 1197, 1806, 2419, 3036?\nAnswer: 3657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19721\/(-410) + -1 - -49.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l**3\/3 - l**2\/2 + 3*l - 24. What is q(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(7 - 3 - 1)*(0 + 3*o + 0 - 2) to i + w*o and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*l**3 - 6*l**2 - 4*l**3 + 3*l**2 - 148*l + 3*l**2.\nAnswer: -2*l**3 - 148*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 + -259. Suppose -14*l = -p*l - 864. What is the remainder when l is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*y - 1848 + 1772, -21*y - 5*f + 95 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 74, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464514*f**4 - 150*f**3*v - 3*f**2*v - 61*f**2 - 48*f*v - 8*f + 2*v - 2 wrt f.\nAnswer: -11148336*f - 900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from emrffereerefer.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:26 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:12 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 152235865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 13*w - 11. Give i(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21f - -5?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6, 10, 0 in descending order.\nAnswer: 15, 10, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10786.99 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 138*v - 33*v + 624173 = 0. Is 3486 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16*-1*12\/16. Let z(r) = -10*r**2 + 8*r + 30. Let f(h) = -4*h**2 + 3*h + 12. Let b(g) = s*f(g) + 5*z(g). Find w, given that b(w) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -36. Factor -4*t + 4*t + y*t**3 - 10*t**2 + 0*t**5 + 4*t + 2*t**4 - 2*t**5.\nAnswer: -2*t*(t - 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223813468.\nAnswer: 2, 7, 19, 7939499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, 4, 25.\nAnswer: -5, 0, 4, 12, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 1\/2*f**3 + 36 + 2187\/2*f - 81\/2*f**2. Factor x(i).\nAnswer: 3*(i - 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*i + 194*i + 1 - 70*i as m + d*i and give d.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 59, 149, 275, 437, 635, 869?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -14*y + 40. Let i = 9\/25 - -39\/100. Calculate the common denominator of i and y\/((-360)\/725) - -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298657217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620628, -1241260, -1861892, -2482524, -3103156?\nAnswer: -3723788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(13\/2) assuming l is positive.\nAnswer: l**(-143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {w: 10, n: 1, f: 2, h: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6473 + 6473. Factor 2\/9*f + w - 2\/3*f**2 + 4\/9*f**3.\nAnswer: 2*f*(f - 1)*(2*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*r**2 - 290 wrt r.\nAnswer: -140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15072101 to the nearest integer?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -20*l**7\/7 + 2*l**3\/3 - 6. What is the third derivative of m(f) wrt f?\nAnswer: -2400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4974419 (base 11) in base 12?\nAnswer: -2a8a3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -232*n - 3633. Give f(-15).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94 + -95 - 1*-3. Solve -1 + 9 = j*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 equal to -78731\/2770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -130. Suppose -40 = -4*v + 2*l, 3*l - u - 22 = -4*v. Solve -13*s - v = -10*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 16 = 0. Suppose -3 = -i + x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**6\/15 - 61*p**5\/20 - 61*p**4\/12 + 92*p. What is the third derivative of g(v) wrt v?\nAnswer: 48*v - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 - 3*p + 4. Let n(z) = 29*z**2 + 16*z - 21. Give 2*n(o) + 11*s(o).\nAnswer: -8*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(16\/6). Let r = 0.07 + 0.63. Let g = r - 1. What is the closest to -2\/3 in g, z, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 74972 = -9396. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - a + 5. Suppose -2*w - 122 = -0*w. Let h be 4 - (0 + -1)*52. Let m = w + h. What is n(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22097.\nAnswer: 19, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.59 - 9.99. Which is the closest to 1\/3? (a) 3 (b) p (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*j + 161777 + 333. Calculate the lowest common multiple of 7 and j.\nAnswer: 26390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 1 + 5*r**4 + 0*r + 2*r to the form o*r + q + k*r**3 + l*r**4 + i*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19552 + -19552. Let g = 1.5 - -0.5. Let o = g - 1.6. What is the nearest to 1 in i, o, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.406046 litres in millilitres?\nAnswer: 9406.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - 2*m**4 + 0*m**4)*(0*m + 3*m + m).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -283*c**4 - 5*c**3 + 431*c**2 - 5. Let i(j) = -2*j**4 + j**3 + j**2 + 1. Let v(l) = 5*i(l) + k(l). What is the third derivative of v(o) wrt o?\nAnswer: -7032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnfwfnqfnnw. What is prob of sequence ff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 3*j**2 + 3*j**2 + 3*j**3 + j**3 - 3*j**3 + (2*j**2 + 1 - 1)*(0 + j + 0) + j**3 - j**2 + j**2 + (-622 + 41*j + 622)*(3 - j**2 - 3).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*z + 734 - 222 = 868*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(204) + 1*sqrt(204) + sqrt(204))*-6*-1)\/(2*(sqrt(12) - -2*sqrt(12)*-1 - 6*sqrt(12)*-2))*-3.\nAnswer: -162*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 19710*v**4 + v**3 + 2*v - 19701*v**4 as y*v**3 + l*v**2 + b + t*v + x*v**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9132582229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3712, -3709, -3704, -3697, -3688?\nAnswer: -3677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 1815*h + 243604. Determine v(-146).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*u**2 + 471*a*u + 156*a + 2757682*u**2 + 11*u - 9 wrt u.\nAnswer: -2*a + 5515364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/72 - l**5\/120 + l**3\/6 + 2*l. Let t(o) be the second derivative of v(o). Calculate t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3\/17, 2, -1.46374?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*y - 3*y + 6*y)*(-6 + 3 + 4) - 2 + 2 - y)*(-14*y**2 + 32*y**2 - 12*y**2 - 12*y).\nAnswer: -12*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1300) - (5*sqrt(1300)*-2 - sqrt(1300)) - (sqrt(1300) + 3)*3) + 0 + sqrt(1300)*-1 + -5 + sqrt(1300)*-1 + sqrt(1300)))**2.\nAnswer: -2240*sqrt(13) + 83396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -14. Let v(b) = 28*b - 17*b - 12*b - h. Let k(o) = 4. Determine 5*k(i) + 2*v(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:04 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/49)\/((-4)\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223315699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 24 = -2*q, 5*q = -2*i + 27 + 18. Calculate the common denominator of 54\/4*q\/84 and 20\/7 - (0 + -1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 15*a**2 + 482*a\/3 - 176.\nAnswer: (a - 1)*(a + 22)*(a + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -568 and -285.\nAnswer: 161880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-135)\/(-150)*-2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158191\/16 + -9883. Find the common denominator of b and 95\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 3*o**2 - 8*o**3 + 2*o**4 + 0*o**2 + 6*o**3 + o + 1 + 4*o**2 in the form k*o**4 + b + a*o**3 + q*o**2 + y*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13681*b. Let f(m) = 30*m**2 - 2. Calculate q(f(o)).\nAnswer: -410430*o**2 + 27362","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(6\/(-4))*9\/108. Let v(y) be the second derivative of 1\/30*y**5 + o*y**4 + 0 + 2\/9*y**3 + y + 0*y**2. Factor v(a).\nAnswer: 2*a*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 - (0 + 6)) + 2 + -4 - -22) + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 6*l + 7. Let b be r(6). Let n(k) = k + 7. Let m be n(b). Calculate the highest common divisor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26783497 divided by 1.\nAnswer: 26783497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 247*p - 320. Calculate l(16).\nAnswer: -3504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:39 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03989*-5.\nAnswer: 0.19945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1444989, -2889977, -4334969, -5779965, -7224965, -8669969, -10114977?\n\"Answer: -2*n**2 - 1444982*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -68) + 1 + 1 + (2 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/15 + (-21)\/((-1785)\/2822).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 2 - (-1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g + 74. Suppose 8*i + 10 = -30. Calculate the remainder when 140 is divided by b(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6) - 4*4\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51a + 3?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 375 - 27?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 9*s**2 - 5*s - 3. Let u be l(7). Let i be (u\/(-8))\/(1\/(-2)). Suppose i = -3*v, 0 = -c + 2*c + 2*v - 20. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-32 + 46 + -27 + -56)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 34318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1669*o**3 - 1410*o wrt o.\nAnswer: -10014*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5230 and 32.\nAnswer: 83680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (840 + 28*h**2 - 25*h**2 - 323)*(4*h + 0*h - 3*h).\nAnswer: 3*h**3 + 517*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1034 - 1033.6. What is the closest to 0 in w, 2, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 12884*f**5 - 6293*f**2?\nAnswer: 120*f**3 + 773040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*c = -17, 2*g + c - 380 = -373 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5 - 17. Suppose y*b + 3*b = -12. Let n be (-8)\/(-21)*3\/2. Is b > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p. Let g(c) = -103*c**2 - 216*c - 1. Give w(g(n)).\nAnswer: 412*n**2 + 864*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.669988 - 2.67. Round q to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 196*a - 502968 - 7604376. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1170 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 76. What is the greatest common divisor of o and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3132\/67860*208\/4?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101909?\nAnswer: 101, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let m be 0 + 22*h\/(-2). What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6776 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/3 - 6*k**2 - 23*k + 27. Let r be o(-10). Let p(i) = 2*i + 3. Calculate p(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 8*g - 5*x + 27 = 0, -4*x - 7 = g. Let f = 1459\/5 - 1397\/5. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27174*j**3 + j**2 - 27169*j**3 + 54595*j**3 - 4*j to s + o*j**2 + y*j + x*j**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 12*q**2 + 8*q - 3. Calculate m(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1\/12 (c) 2 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10, -3*s - 6*l + 402 = -3*l. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-35)\/(-196)*((-7)\/6)\/((-2)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 836 divide 11663872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - j - 3 = -0*j, g + 3 = j. What is the units digit of (-99)\/g*(-108)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-5))\/((-1)\/5). Let x(u) = -2*u - 6. Let c(d) be the second derivative of 5\/2*d**2 + 0 - 5*d + 1\/6*d**3. Determine a*c(n) - 3*x(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299\/(-115) + 99\/40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 32 - 5*h + h - 11 + 3*h. Determine g(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 60. Give q(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.5642 kilometers to nanometers.\nAnswer: 258564200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4919*o**2 + 4922*o**2 + 5*o - o**3 - 2*o - 2 + 3*o**3. Let c(j) = 4*j**3 + 7*j**2 + 6*j - 5. Determine 2*c(f) - 5*w(f).\nAnswer: -2*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpv when three letters picked without replacement from kpbvbqkbqqqv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 - 0.03. Let x = -172 + 2065\/12. What is the second biggest value in x, -4\/3, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(3 + 4 - 6 + (-3 + 0 + 1)*(3 + 2 - 3) + 1 + 1 + 0 - 2 + 4 - 4 - 361 + 181 + 129).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -55285920.\nAnswer: 276429600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3322824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(425))**2 + -2.\nAnswer: -10*sqrt(17) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v - 1. What is r(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1\/3. Let s = -112 - -112.151. Let w = 1.849 + s. What is the closest to j in 1\/5, w, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 6 = -36. Let f(a) = -13*a + 13. Let m(q) be the first derivative of 9*q**2\/2 - 9*q - 2. Calculate i*f(p) - 7*m(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 14, 0.05, 0.2, -143?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + -1 + sqrt(500).\nAnswer: 4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 162353*h + 9 + 10.\nAnswer: 162353*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.1 * -20.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*o + 8. Let k be o*(6\/(-9))\/2. Suppose -2*c - 3*c = k. Solve c = -3*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 1587.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3703 (b) -2\/15 (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p + 4. Let w(q) = q + 11. Determine -j(h) - 5*w(h).\nAnswer: -14*h - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - x**2 + 8*x + 10. Let m be k(-4). Calculate the common denominator of -5\/4 and m*5\/(-200) + (-2)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2\/5 + 189*l = 0.\nAnswer: 0, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, k: 3, n: 4}. What is prob of sequence kkp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l - l + 0.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 45*u - 136. Give z(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-12) - 253\/44. Let m(x) = 4*x + 6. What is m(o)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85303 or 85301?\nAnswer: 85301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let z = -123 - -120. Put z, q, 5 in ascending order.\nAnswer: z, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 314986 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 131979545?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Suppose 5 = -m, 0 = 3*t + m - 2*m + 13. Let z be 6\/(-8) - 6\/t. Which is the third biggest value? (a) 2\/3 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - 368\/(-20). Let y = 20 - -25. Calculate the greatest common factor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 411 + -238. Let k = n - 180.7. What is k rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3 or -0.01?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 2. Let q be (3\/(-9))\/(105\/54 - 2). Suppose 0 = q*h + 3*h - 153. Let r(k) = -1 + h*k - 2 - 23*k. Calculate 3*r(d) - 4*x(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 6*k - 4. Let p be c(-4). Suppose p*r - 3*r = 2. Let n(j) = 7*j**3 - 4*j**2 + 2*j + 1. Is 15 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 265 = -5*t, -5*w + 27 + 242 = 3*t. Calculate the remainder when w is divided by (-23)\/(-3) + (-2)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s = 143*s. Solve -29*w - 5*w + 102 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03648 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 + 4*x - 2*x - 184)*(-3 + 3 + 2*x).\nAnswer: 4*x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/2))**(-1\/53)\/(x**(1\/10))**(-23) assuming x is positive.\nAnswer: x**(597\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w + 71*w - 17*w - 12*w - 24*w - 1339 as d*w + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 48 = 28*p. Suppose 3*y + 4*a = p*y + 58612, 3*y + 3*a + 35151 = 0. What is y rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7010310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*6*sqrt(684).\nAnswer: -576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 22. Let y(f) = 33*f**2 - 424*f - 15. Calculate the smallest common multiple of y(13) and b.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 19*t + 148, -19*a + 21*a + 27 = 3*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {o: 2, m: 1, w: 2, f: 1, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 8 in descending order.\nAnswer: 8, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-154)\/21)\/((-2)\/(-21)). Let o = 119 + m. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 5, 15\/4, -0.1, -9, 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4990*r**3 - 11*r**4 + 10*r**4 + 4972*r**3 + r**2 - 3*r to n*r**3 + s*r**2 + t + j*r**4 + f*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from eeellmenlmem?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008200 and 237850.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12107 (base 14) in base 3?\nAnswer: 2020111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {i: 2, w: 1, j: 1, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-53314)\/(-23))\/19 - -23. Solve m*v - 1 = 146*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*f + 37*f**2 + 98 - 83*f + 0*f**2 wrt f?\nAnswer: 74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:48 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -880129, -880131, -880133, -880135?\nAnswer: -880137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1217, 1825?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 - 8*u - 8. Let t(z) = z**3 + z + 1. Let s = 40 + -31. Let o be ((-84)\/16)\/(s\/(-12)). Suppose -2*i + 9 = -o. Determine i*t(a) + r(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180821491009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -948 divided by 181\nAnswer: -948\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 3125?\nAnswer: 3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(2*v**2 + 6*v**2 + 20*v**2) to the form t*v**2 + x*v + a and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 222, 401, 626, 897?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 4502905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/48 - 35*f**3\/12 + 69*f**2\/8 + 270*f. Find g, given that w(g) = 0.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15295964 and 2.\nAnswer: -30591928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/30 + 1 + 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 103266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5853, 1\/27, -0.3, 5, -0.1.\nAnswer: -0.3, -0.1, 1\/27, 5, 5853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:58 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-5 - -6) + -3 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 0\/(-3)) + 33. Let y = v - 27. Solve 3 = t - y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124 (base 5) to base 3.\nAnswer: 20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 6*f**4 - 2*f**4 + (5*f + 2*f - 5*f)*(-f**3 + 3*f**2 - 3*f**2) + f**4 + 2*f**4 - 2*f**4 + 3 + f**4 - 3 + (3 - 2 + 0)*(2*f**4 + 2 - 2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1163336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6215592 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -1\/260*u**6 - 1\/78*u**4 - 7\/390*u**5 - 4*u + 8*u**2 + 0*u**3 + 0. Factor p(r).\nAnswer: -2*r*(r + 2)*(3*r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.456 - -0.956. What is the third smallest value in 4\/9, b, 4\/7, -0.01?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6228 divided by -9\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 23 - 75. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 8672*j\/11 + 276570.\nAnswer: 2*(j + 385)*(j + 3951)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 39240*h + 84.\nAnswer: 39240*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -5*w + 27*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 527 = 190*f + 3449 + 2790 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:05 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:52 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + -3 - (27 - 21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/9 + 13774*y**2\/9 + 207428*y\/9 - 2539936\/9 = 0.\nAnswer: -23, 8, 6902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/3 - 487*m. Let o(f) = -2 + 2 - 31*f + 121*f. What is o(v(r))?\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 58\nAnswer: -11\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*k**2 + 9\/2*k.\nAnswer: 3*k*(k + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 4. Suppose -142 = -v*x + 2*x. What is the first derivative of 11 + 26 + 0 - 35*k**3 + x*k**3 wrt k?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14. Let q(a) = 47. Let v(u) = -10*c(u) + 3*q(u). Let n(d) = -3*d**2 - 3*d + 3. Let m be 3\/((-18)\/(-12))*1\/2. What is m*n(k) - 4*v(k)?\nAnswer: -3*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*t - f, -4*t - f + 23 = -1. Let x be (-2 - -3)*14\/287. What is the biggest value in 0.06, -0.1, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + 6948\/(-72). Let j = a - -98. Suppose -5*n + 31 - 6 = 0. Solve 0 = n*x - x + 5*l + 5, -3 = -j*x + 3*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-5 + 78\/12). Suppose -m - v*l + 439 = -25, -5*m + 2*l = -2337. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6415875 divided by -4\nAnswer: 6415875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(110)\/sqrt(40)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:30 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/12)\/((-6)\/(-32)). What is the third derivative of 0*g**k - 43*g**2 - 8*g**4 - 25*g**2 + 25*g**2 wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3138*h + 32. Let s(y) = 2*y - 16. Calculate a(i) + 2*s(i).\nAnswer: 3142*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95.86 + -611.76. Let z = -495 - g. Round z to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z - 30 = 0. Let y = z - -10. Is 2\/5 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -3*k - 13, -2*k = q + 3. Let c be (-3)\/((-9)\/(-6)) + (-9)\/k. Solve 4*i + c = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/21*(-6)\/8. Which is the closest to 1? (a) y (b) 2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.1959 rounded to zero decimal places?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - x - 591 - 454 = 0, 3*a - 4*x - 627 = 0. Let k = 211 - a. Solve -5*b = 5*w + k + 3, -3*b = -w - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)*h)\/(h*h*h\/((h*h*h\/(h*h**(-17\/6)\/h))\/h*h)*h)*(h**29*h)**(-34) assuming h is positive.\nAnswer: h**(-30539\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddpppppppppp. Give prob of sequence pdpd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 759*s - 6 = 762*s, -5*s - 9 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 73 + 111 = c, 0 = 3*g + 5*c + 115. Is (-10)\/75 + (-3876)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2 + -2)\/(4\/10). What are the prime factors of ((-2)\/(-1))\/(c + (-11)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-1)\/4 - -119. Let o be 26\/5 + (-8)\/40. Suppose y + o*p + 6 = 0, a = 5*y - 4*p + 4. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*i - 196*i + 238*i = 438*i - 25164 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(4*(-4)\/216) is divided by (-1*2\/(-3))\/(2\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0 + 1 + 1 + g + 2. Let n = 113 - 80. Calculate the least common multiple of i(5) and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10224 divided by -9?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502380.9 grams in micrograms?\nAnswer: 502380900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 + 539 + 465 = 63*p. Let m(w) = -w**2 + 11*w + 12. What is m(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n + 16. Suppose 0 = -5*l + 2*w + 21, -4*l = n*w + w + 3. Let 6*x**2 + 6*x + 0*x**3 + 2*x**l + 2 + 0 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 74*h - 7*h - 4 + 17*h - 2. Let g be m(-1). Which is smaller: g or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*m + 53608, 79*m - 84*m + 53635 = 5*o. Which is bigger: m or 10723?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277425 is divided by 22038?\nAnswer: 12969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5\/6)*y)*y*y)**(-16)*y**(-3)\/y**15 assuming y is positive.\nAnswer: y**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 524\nAnswer: 27\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.824 - 6.82415494. Round r to 6 dps.\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -0.13. Let y = g + 9.91. Let b = y + -9.99999878. Round b to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3016, -3015, -3014?\n\"Answer: r - 3017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 456 + 95b?\nAnswer: 11b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.1 + -100.3. Let t = -51 - p. Which is the closest to 1? (a) t (b) 0.5 (c) 1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5 = -j, 0 = -2*h - 38*j + 35*j + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.5 (b) 2\/7 (c) 1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 b, and 1 p when four letters picked without replacement from pwbpnbwm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 68 and 10.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233*u**3 + 9*u - 9*u.\nAnswer: 2233*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 3*v**2 + 4*v + 5. Let q(p) = -3*p**2 - 5*p - 4. Determine 5*q(i) + 4*s(i).\nAnswer: 4*i**3 - 3*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from guuiujujiuuujyyjujuu.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + 9. Suppose 1 + m = 4*r. Suppose l + 0*o - r*o + 6 = 0, -5*o + 25 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:36 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-14)*(-4 - 3). Let u(q) = -39 + 21 + v + 2*q. Let g(y) = 4*y. Give u(g(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 72 = -s, 9*s - 3 = 8*s. Calculate the greatest common factor of 1185 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8508 and 79\/20.\nAnswer: 42540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15580049 is divided by 5933?\nAnswer: 5924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6 - 2. Let d = 13 + l. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-14)\/(-35)*5). Suppose -49*p + 42*p + 2877 = z. List the prime factors of p.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7673*l - 7672*l + 15345*l - 3*l**2. Let y(q) = 4131*q. What is y(s(g))?\nAnswer: -12393*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 13, -5, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24679*r - 623. Is z(1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + (-2)\/(-2) + 2. Suppose -6*a + 5*a = -7. Let i = u + a. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 + 56232?\nAnswer: 56346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 267 and -228.4.\nAnswer: -60982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.53 - 0.93. Suppose 5*n - 23 = -4*x, -4 = 4*x - 3*x - 2*n. Let o = -4 + x. Which is the smallest value? (a) h (b) -1\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - k + 0*k + (5 + 1 - 4)*(-17*k - 8*k - 6*k))*(2 - 2 + 1).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728389749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1291*c + 144 - 314 + 170. Let w(x) = 2*x. Calculate w(d(b)).\nAnswer: 2582*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 1}. What is prob of sequence iiio?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (0 + -9 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -9*z - 30. Let i be (z - 87506)*16*-1. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 215\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4890 and 20?\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*b - 125 = -5*b, 0 = -3*b - 15. Solve h*k - 34*k - 24 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -101919970 and -101919969 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -8, 9.\nAnswer: -8, 1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141 - -35?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1001 and 14663.\nAnswer: 1334333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214 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 5 - 0.86.\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132960 is divided by 258.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 795651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - 14 - (-17 - -223)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**3 + 39*w - 13*w**2 + 36*w**2 + 4*w**3 wrt w.\nAnswer: -6*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 43 = -4*l - 5*c, -2*l - 2*c = 20. Let v = -1 - -1. Suppose b + 1 - 3 = v, 2*o = -b - 12. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3882603 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2\/7 + 14792*o + 828096\/7 = 0. Calculate o.\nAnswer: -25878, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (198\/(-36))\/((-1)\/2). Calculate the highest common factor of 121 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98704579 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 20121112?\nAnswer: 20120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -4. Let t(z) = -7*z - 7. Suppose 4*c - c - 51 = 0. What is the remainder when t(g) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29204 or 29206?\nAnswer: 29204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 401*b**6\/120 - 163*b**3\/3 - 276*b**2. Find the first derivative of w(v) wrt v.\nAnswer: 1203*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 31, 6915 in descending order.\nAnswer: 6915, 31, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3499 + 9204 = 7*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1123 - -1160. What is the remainder when 1405 is divided by c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.5031 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46699049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 682\nAnswer: 1\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2203\/701 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 + 4. Let b be (0 - (-1 - 2))\/1. Is k(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450022924?\nAnswer: 2, 13, 8654287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10552)\/(-32) - (-4)\/16?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1037, 2\/9, -1, -0.183 in increasing order.\nAnswer: -1, -0.183, 2\/9, 1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 2482*o**2 - 480704*o + 25514496.\nAnswer: -2*(o - 1017)*(o - 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 33*m + 158 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5 = -r - 3, -2*r = -2*t + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16836487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 5*i = t*s + 67510, i - s - s = 13510. What is i rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 62. Suppose i = -o - 7 + 8. Let p be (24\/(-16))\/(-2*o\/(-4)). Let y(d) = d - 1. What is y(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7191.908 + -7166. What is a rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*f - 6.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6262 - 0.1362. What is n rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*a - 6 = 0, -6 = -2*z + 3*a - 7*a. What is the common denominator of (-80)\/(-27)*z - 1 and (-1)\/((-2)\/61) - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 - 1))*8\/832*2\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = -6. What is the common denominator of k\/3 + (-37)\/4 and 966\/12*(-1560)\/(-8190)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083966630 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0.1. Let k(o) = 2*o**2 + 5*o + 2. Let q be k(-3). Suppose -4*h + 25 = q. What is the closest to 1\/3 in h, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*h + 75*h - 5*h**4 + 31*h**4 wrt h?\nAnswer: 312*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 divided by -2?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295094400.\nAnswer: 2, 3, 5, 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -p - 10, 2*p - 19*k = -18*k - 5. Is -5\/54 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 + 3*r - 3. Let x be s(-3). Let d = 278 + -166. Suppose -5*g = v - 400, 2*g - d - x = -v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8035, 8058, 8081, 8104, 8127, 8150?\nAnswer: 8173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -38. Suppose -m = t - 3 - 2, 5*m - i = -3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84 - 1fe?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -77. Suppose 4*t = -4*n + 4596, 2*n + z*t - 4*t - 2292 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -7*q + 3*z - 38, 880*q - 4*z = 884*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 71 = -23 - 58. Solve -10*t + 5 = -c*t - 3*h, 4*t - 5*h - 11 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188376, 188392, 188408, 188424?\nAnswer: 188440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 13*p. Let d = 2 + -15. Let v be j(d). Solve u - 7 = -0*y + 2*y, v = -4*u - 4*y + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574793 is divided by 191597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -289*h**4\/24 - 143*h**3\/6 + 169*h**2. Is p(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 1 + (-6 + 2 + 2)*(0 - 6 + 5) + 4 - 9 - 2)*(9 - 9 + 2*r**4).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**13*k)**44\/(k**(-1\/34))**26)**(2\/43) assuming k is positive.\nAnswer: k**(-14934\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -394.946 times -0.01?\nAnswer: 3.94946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -93550 + 1041550. Round c to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212145.\nAnswer: 3, 5, 41, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-24) + (-72)\/54.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147356658?\nAnswer: 2, 3, 193, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 731 - 480. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -42*u + 46*u, 4*u = -3*v + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**2\/2 + t + 5. What is the least common multiple of 2\/5 - 28\/(-5) and s(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -158.55608936 and -39.\nAnswer: -197.55608936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -2, 0, -40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/(sqrt(4) - sqrt(400)*1) + (sqrt(39)\/(-1*sqrt(3)) - (sqrt(1872) + -2)) + 2.\nAnswer: -119*sqrt(13)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 66*n - 42. Calculate y(60).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)\/(h**(-1\/7)*h)*(h\/(h\/(h*h\/h**(3\/11)*h)))**24 assuming h is positive.\nAnswer: h**(3511\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.2 * 469.3.\nAnswer: -2909.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 - 8*z + 3. Let g be (24\/18)\/((-1)\/(-6)). Let o be m(g). Suppose 0*y = 2*y - 4*r - 64, 2*r = -o*y + 96. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.487092l?\nAnswer: 6487.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (2 + (-22)\/8). Let w = 0.31 + 0.19. Which is the third smallest value? (a) x (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbyp. Give prob of picking 1 b and 1 k.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10549 - -10557. Calculate the remainder when 101 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222 plus -4?\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30337903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 + 12*y + 9\/4*y**3 - 7*y**2 + 3\/8*y**4 + 1\/40*y**5. Let s(g) be the first derivative of p(g). Let s(m) = 0. What is m?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ffpppffpfffp?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + 3))*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 4, v: 8, k: 7}. What is prob of picking 1 f, 1 k, 1 e, and 1 v?\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - 9 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a - 43. Let t be r(3). Suppose t*u = 5*i + 191, 6 = -2*i - 0*i. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-11) + ((-2)\/(-3))\/1. Let v = -0.5288 - -0.6788. Which is the closest to -0.5? (a) 1\/4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1480897cm to kilometers.\nAnswer: 0.000001480897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 530. Let i be 4\/22 - (-4 + v\/(-55)). Solve -5*f + 2*f = -i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13735 is divided by 103.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)*q\/(q*q**(-4\/7)))\/(q**(1\/12)\/((q\/((q*q**6\/q)\/q)*q)\/q)) assuming q is positive.\nAnswer: q**(-569\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*m**4\/3 - 782884*m**3\/3 - 529782046*m**2\/3 + 187201380*m - 49572675.\nAnswer: -(m + 1355)**2*(17*m - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63105540 is divided by 65941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 22, 0.1, -0.1, 2\/11, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 85\/2. Let q(z) be the second derivative of -3*z**2 - 8*z + 1\/4*z**4 + 0 + x*z**3. Determine c so that q(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-24)*((-2)\/(-8))\/(171\/4104).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.159 + -7.959. What is the closest to 9 in 58, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24896892*v + 24206046?\nAnswer: 24896892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5370.0928 + -200248.\nAnswer: -194877.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 407938824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94314947 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7872*m**4 - 33*m**5 - 7872*m**4 + (4*m - 2*m - 3*m)*(-2*m**4 + 6*m**4 - 2*m**4) + 9*m**4 - m**5 - 9*m**4.\nAnswer: -36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 356848166 - 2?\nAnswer: 356848164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/355096 and 71\/34?\nAnswer: 355096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3803, 3802, 3799, 3794?\nAnswer: 3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181112.\nAnswer: 2, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 436772 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872) - sqrt(1872)) + -2 - (-2*sqrt(1872)*-2 - sqrt(1872)) - (-1 + sqrt(1872) + 2 - (sqrt(1872) + sqrt(1872) + 0 + -5)))**2.\nAnswer: 384*sqrt(13) + 7552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 65.11?\nAnswer: -26.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.0393 centimeters in kilometers?\nAnswer: 0.001460393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(8\/(1 - 5) - -1). Let w = 38\/7 + j. Put -1\/2, 0.34, w in decreasing order.\nAnswer: w, 0.34, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 1 + 1)*(-2*d**2 + 3*d**2 - 6*d**2) - 38*d**3 + 17*d - 17*d + 4*d**3 + 9*d**2 - 9*d**2 to n*d + f + z*d**2 + x*d**3 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 408043897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let f(r) = r**3 - 6*r + 2. Let g(d) = -f(d) + 3*s(d). Factor g(a).\nAnswer: -(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -0.06, -0.2, -0.5, -13 in decreasing order.\nAnswer: 181, -0.06, -0.2, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 30 - 50 - 2 - 17 to x*s + m and give m.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8012111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2805908 and -121\/2195928.\nAnswer: 50506344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2. Let s(m) = m - 5. Let f be (10\/4)\/((-1)\/(-2)). Suppose f*x = 2*q + 14, x - 6 = 2*x + 4*q. Calculate x*s(o) - 5*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 - -1951\/9. What is the closest to 1 in 0.5, 0.09, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133234?\nAnswer: 2, 66617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*k**3 + 39*k**3 + 81*k**5 + k**5 + k**3 - k**3 + (4*k + 2*k - 4*k)*(0*k**4 - k**4 + 0*k**4).\nAnswer: 80*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 94 + (-25 - 3) - (0 + (3 - -20)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10112 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzhjjjzhthjzz. What is prob of sequence jz?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, -1028, -1473, -1918?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h - 2*v + 78, -v - 45 = -2*h. Solve -5*w + 25 = 0, -6*n + h = -3*n + 3*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259213083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 62, 131, 228?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l = -42*l - 1. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 3*k - 3858*k**2 - 1 + 3858*k**2 as y + v*k**2 + g*k**3 + x*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**4 - x**3 - x**2 - 5*x. Suppose 0*f - 12 = 2*f. Let y(s) = -6*s**4 + s**3 + s**2 + 4*s. Let i(m) = f*y(m) - 5*z(m). Factor i(a).\nAnswer: a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, 667, 4443, 12343, 25741?\nAnswer: 46011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -245.2 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 3*b + 2, -b - k = -1. Which is bigger: b or -14\/37?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - -14. Suppose g = -4*m - 8, -3*g - m + 6*m + k = 0. Let w(f) = -f - 1. Let v be w(-1). Solve v = -9*d + g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -7 (c) -2 (d) 0.055 (e) 5 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6732264464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1965*b + 28 = -1951*b. Solve b*d = -29 + 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 5*g - 20 = 4*h, g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - 2*sqrt(85)*4)\/(1*sqrt(5)*-4).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:02 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 78. Let h = 25 + -25. Suppose -3*d - z*b = -15, 5*d + 3*b + 4 - 37 = h. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108837 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 135*a**2 + 258*a.\nAnswer: 3*a*(a + 2)*(a + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/((g\/((g**(-1\/6)\/g*g)\/g))\/g)))**20*g**(-2\/15)*g*g*g**(5\/8) assuming g is positive.\nAnswer: g**(233\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -2, -10, -22, -38?\n\"Answer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 + 0 - -11). Suppose -5*p + 12 = -0*p - 3*w, w = 1. Suppose -p*r + 5*k + 23 = 0, -28 = -4*r - 4*k + 56. Solve 0 = -4*b + r, -3*b + 2 = x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:31 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4493.443 millennia to years.\nAnswer: 4493443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3135)\/(-225) - (-2)\/30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -250.78. What is m rounded to zero dps?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q*q)\/q*q*q\/q**(-2\/15))**34\/(((q*q**(-1\/4))\/q)**28\/(q**(-4)\/(q\/(q\/q**(-1\/6))))) assuming q is positive.\nAnswer: q**(1437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 6 - q + 4*q - 1 - 6*q**2. Let t be v(5). Calculate the common denominator of 0 + 0 + t\/88 and 19\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:12 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, c: 2, e: 1, l: 3, x: 3}. What is prob of sequence wl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2 - -1)*290\/319*-2.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1422.08 times -0.3143\nAnswer: 446.959744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = 2*o - 4, -3*l + 10 = 5*o. Let v = 1 - 2. Let t(m) = m**2 - 9*m + 10. Let i be t(7). Sort i, o, v in decreasing order.\nAnswer: o, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 34 = -0 + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 8. Let d(i) = -13*i + 31. Determine 2*d(f) + 9*g(f).\nAnswer: f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(-4*y + 2*y - 3*y) as s + q*y and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**4 + 10*j**2. Let c(b) = -4*b**4 + b**3 - 21*b**2. Let t(z) = 6*c(z) + 13*f(z). Factor t(n).\nAnswer: 2*n**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -51*w**5\/20 + w**3\/2 - w**2 + 16*w. Find the second derivative of t(m) wrt m.\nAnswer: -306*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100288 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.8, 1\/90, 8, 2\/7, 0.1 in decreasing order.\nAnswer: 8, 0.8, 2\/7, 0.1, 1\/90, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 7*b - 10. Let p(k) = k**2 + 9*k. Let l be p(-10). Does 20 divide h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19832 + 22703 = 475*m + 16885 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124466*d + 184 - 360 + 176.\nAnswer: -124466*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 484926 and 484923 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 15*j**2 + 3*j - 9. Let f be u(15). Calculate the highest common factor of f and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 537284 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 1) + (68 - 68) + -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 11*b**2 - 10*b + 6. Let j be (28\/(-6))\/(-7)*(-2 - -8). Let q(i) = -i**3 + 4*i**2 - 2*i - 2. Let g be q(j). Give w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24514340 (base 6) to base 13\nAnswer: 21769b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 102 = 1572. Suppose 130*j = 137*j - r. Calculate the smallest common multiple of 18 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/35*60\/(-25)*(-2)\/(-8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-2))\/((-1)\/(-2)). Suppose 0 = 4*n - z*n - 4. Let g(d) = -2*d + 5*d + 1 - 3*d - d + 2*d. Calculate g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 - -106. Suppose 3*i = 1 + l. Let x = 146 + -132. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*b - 270 = 0, 2*b + 3*b = n + 54. Let o = n - -71. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:51 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -42. What are the prime factors of 1*3*(-25)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 161606688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-26))**37)**(3\/8) assuming j is positive.\nAnswer: j**(-1443\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -0*k - 3*k - 4*t, 0 = -k - 4*t - 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**2 - 2\/15*y**3 - 4\/25*y**5 - 1\/4*y**4 - 6 - 1\/30*y**6 + 0*y. What is x in r(x) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1083 = -323*k + 855. Solve 4*p + 12 = 3*c, -k*c = -7*c + 5*p + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -b - 128 + 120, -5*y = 30*b + 115 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 141505*v**2. Let m(t) = 2*t**2. Give m(d(n)).\nAnswer: 40047330050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3880 divided by -485\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -f. Let m = 39 + f. What is the remainder when m is divided by (21\/4)\/((-3)\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 2, 0*x + x = -v + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d + 76 + 146 - 96 in the form r + t*d and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12*c = 0. Sort c, -0.5, 3\/11, -3 in increasing order.\nAnswer: -3, -0.5, c, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/55 in 1, 0.12, 2\/11, -3\/2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287261 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 4. Let g(u) = -2*u - 9. Let b(h) = 4*g(h) - 9*w(h). Suppose 0*v = -v + 2. What is b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 15 = -5*b + 4*r, -5*r = 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*x = 8, 8 = 54*x - 58*x. Solve t*r + 8 = -16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 + -569\/3. What is the closest to z in 0, 39, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 279756*n**2 - 559588*n + 4196460.\nAnswer: 4*(n - 69941)*(n - 3)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*g = 3*d + 3, 4*d - 4*g = 4. Solve 4*y - 2 + 10 = d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, h: 2, l: 1, d: 1, r: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.70754 litres to millilitres.\nAnswer: 84707.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3 - 6*w**2 + 1623*w + 4. Give o(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25503 is divided by 12668.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -9*f**4\/5 + 269*f**3\/5 + 14134*f**2\/5 + 25104*f + 24480 = 0.\nAnswer: -17, -12, -10\/9, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-30)*m))**(-26)*(m**29)**(4\/9) assuming m is positive.\nAnswer: m**(-7138\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {k: 2, f: 1, g: 2, o: 5, z: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/5, 53, 1\/2, -4, -0.61?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:16 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 0.08.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -48, 0, 3\/5 in descending order.\nAnswer: 3\/5, 0, -0.4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23250 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 35 = 14*z + 12949. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-5)\/225)\/(16\/(-624))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + -5*-3*sqrt(1088) + 2 + -4 + sqrt(1088) + 0))**2.\nAnswer: 3072*sqrt(17) + 1114148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47245 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*a - 51 + 3*a**2 + 3*a**2 - 3*a**3 + 49.\nAnswer: -3*a**3 + 6*a**2 - 1181*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25054, 5\/3, 0.5 in ascending order.\nAnswer: 0, 0.5, 5\/3, 25054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001996 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2727*c**2 - 1173*c - 95. Let o(u) = -1363*u**2 - 586*u - 46. Let h(s) = -11*o(s) + 6*v(s). Find l such that h(l) = 0.\nAnswer: -8\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - 33. Let f be (-1 - -3)*(-20)\/8. Let o be y(f). Solve -4*t + 4*k = 2*k + 16, o*t + 3*k + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 + 175. Let z = s - 51. What is the remainder when z is divided by 1\/(-1)*11\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83048356?\nAnswer: 2, 20762089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1233\/(-19) + (-1 - 51\/(-57)). Let b = -21 - l. Is b greater than or equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-5*sqrt(45)) + 5*(sqrt(7) - (sqrt(7) + -1 + sqrt(7) + 3)**2).\nAnswer: -160 - 526*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -2*j - 12, -h - 5*j = 23. Let f = 7.1 - -1.9. Let u = 9.1 - f. Which is the second smallest value? (a) 1 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 29, 1, 10176?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:02 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 34. Let v = 16 - h. Is (186\/(-24) - -6)*(-3 + v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(-4*6*(sqrt(2205) + sqrt(45)))**2 + 0.\nAnswer: -6635521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*p = -20, 3*t - 5 = -4*p + 3*p. Let a be 3 + (-2)\/(-2)*-1. Solve -3*g - 4*r - r - 19 = t, 5*r + 4 = a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 - 4*n + 1. Let v(w) = w**2 + 11*w - 3. Let k be v(-11). What are the prime factors of o(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*b*g*w**2 + 720*b*g + 2*b*w**4 + 33*b*w with respect to w.\nAnswer: 12*b*g*w + 8*b*w**3 + 33*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v + 74. Let x be l(4). Suppose -x*g = -5*b + 75996, -2*b - 4894 = 5*g - 35304. What is b rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 + 19*l**3 - 19*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -127407586 greater than or equal to -127407585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1323 and 13.5555.\nAnswer: -1309.4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1652 and 0.105.\nAnswer: 1652.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*i + 58, -5*l - 9 + 121 = -21775*i + 21778*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*i + i. Let k = -9 - i. Let n be k*(0 - (3 - 2)). Solve 4*o = -6 + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4674835.\nAnswer: 5, 11, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 283, 359, 431?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 255\/13?\nAnswer: 255\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and (-499905)\/(-1377) + (-8)\/204?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 36765.15ug?\nAnswer: 36765150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2473*g. Let x(z) be the third derivative of z**5\/60 + 2193*z**2. Determine b(x(t)).\nAnswer: 2473*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/5 + 388448*i**3 - 470673884096*i**2\/5 - 83821553115648*i - 93127002247844352\/5 = 0. Calculate i.\nAnswer: -444, 486004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6561\/5 - 1322. Let l be 0\/(-18) - 10286\/(-18). Let z = -574 + l. Calculate the common denominator of z and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -473 + 480. Suppose 0 = -3*n - 9, -4*l + 4*n - 5 + 17 = 0. Solve l = -4*h + s - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16*(7\/2 - -3). Suppose -318 = a - 3*a. Let l = m + a. Is 54 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33228 = -11*s + 89*s. What is the smallest common multiple of 27 and s?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*w - 479*w + 1650*w - 542*w.\nAnswer: 100*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f + 23*f - 10306 + 9200 as k + h*f and give k.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*r*w - 257*p*w**2*z + 109*p*w*z + 352*r*w**2*z - 4*r*z + 3*w**2*z with respect to p.\nAnswer: 2*r*w - 257*w**2*z + 109*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.3*50\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 45065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.7. Let n = v + 0.4. Let l = -6 + 5. Which is the second biggest value? (a) l (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*b - 98*b = -8. Let o(n) = -b*n - 1 + n**3 - n**2 + 0 + 2 + 0*n**2. Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2.56, 1\/2, -620\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1026*27 - (-1516)\/38. Solve -f*u + 33*u + 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(1 + 1 + 2)*(147 - 77 + 2*n - 68 + 357*n**2) as p*n + k + r*n**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 75. Which is smaller: 11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1222, 2, -2, -5, 50, -1 in increasing order.\nAnswer: -10, -5, -2, -1, 2, 50, 1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*r + 259*r = -227*r + 689*r + 1632 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2279320 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -221175*l. Let a(w) = 4*w. Calculate i(a(f)).\nAnswer: -884700*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2321616 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -427, -857, -1287, -1717?\n\"Answer: -430*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 642, 641, 642, 645?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(2*sqrt(8)*-5).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 4)*(s + 2*s - 6*s)*(-4 - 3 + 4)*(-2 + 2 - 9*s).\nAnswer: -405*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 15 - 2*q**2 + 27.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -112 - 115 + 330 - 3*c**2 - 2*c**2 - 11*c - 105. Give l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 374549?\nAnswer: 749098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let x be (50 - b) + -2 + 1 + 2. Let j = x - 48. Solve l = -4 + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25.6 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 3*h + 45 = 0, 55 = -5*g + h. Let l = -52 + 42. What is the tens digit of (-106)\/l - (-6)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1452)\/(-605)*24070\/4. Calculate the greatest common factor of 58 and x.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/4))**(-43))**(-43))**(3\/29) assuming r is positive.\nAnswer: r**(16641\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a**(-2\/29))**(-1) assuming a is positive.\nAnswer: a**(263\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11000110100?\nAnswer: -11000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*g**3*i**3 - 11436*g**3*i**2 + g**2*i + 876629*g*i**3 wrt g?\nAnswer: 1020*i**3 - 68616*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 13. Let n be h(-6). Let u be (-132)\/(-8)*(-2)\/n. Let m = 33 + u. Solve m = 3*l + 7 + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 934 + -1586. Let b = 2519\/4 + d. Let r = -1833 - -18453\/10. Calculate the common denominator of r and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4338110231023\/16827523380 - 27777252\/109597. Let m = 4\/7677 + a. Calculate the common denominator of (-219)\/(-72)*3\/(-2) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.13 - -0.13. Let c = -2.6 + -0.4. Suppose 5*m - 32 = -4*d, -2*d = 3*m - 9 - 9. Put d, r, c in descending order.\nAnswer: d, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-6)*12\/(-273).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164859906 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w**2 + w. Suppose 8 = 4*t, t + 45 = 3*m + 11. Let u be 2\/m + (-30)\/(-36). Let s be f(u). Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-18) + 1*-2. Which is the biggest value? (a) -9 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 19*b**2 + 17*b - 29. What is j(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*j**2 + 2\/5*j**4 + 16\/5 - 2\/5*j**3 + 8\/5*j.\nAnswer: 2*(j - 2)**2*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*p - 802, -5*n = -2*n - 5*p - 2399. Calculate the lowest common multiple of 2 and n.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8520.98 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111916 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + a - 4. Let h be k(-11). Suppose 937 = 5*n - h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3355133 + -14?\nAnswer: -3355150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 476 and 408.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 27*l + 60. Determine o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/26 + 3566\/26 is divided by (-1)\/(7\/805*-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1729 + 429 = 0. Suppose -4*k - r = -17*k. Suppose g = b + 116, 5*b = 9*b - k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, -127, -0.1, -0.3.\nAnswer: -127, -0.5, -0.3, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/5263 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 + 49*x - 17. Determine t(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 217*z**3 - 2*z**2 + 2. What is the units digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 15 = -4*f, -3*u - 2*f + 62 - 73 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215 - 41532?\nAnswer: -42050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (10 + -14 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -123\/7, -387 in decreasing order.\nAnswer: 18, -123\/7, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r + 5*r**2 - 10*r - 3*r**2. Let u(z) = 11*z. Calculate u(i(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**4 + t + 12. Differentiate h(b) with respect to b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - x**2 + 55*x - 47*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*h**3*i**3 - 2*h**3*i**2 + h**3*i - 52*h**2*i**3 - 128*h**2*i wrt h?\nAnswer: 408*i**3 - 12*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 761076 (base 8) in base 11?\nAnswer: 164258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 11 + 1 - 6*i to the form o + r*i and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-180)*3\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6))**(1\/20) assuming j is positive.\nAnswer: j**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -200 and -370 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 3*x + 4*x)*(4*x + 3*x - 2*x) + 0*x**2 - 6*x**2 + x**2 to the form f*x**2 + i*x + t and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6798 and 2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.061, -26, 2, 0, -2\/11, -23, 2\/11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25872)\/(-6468)*(2*-3)\/((-1)\/(78\/16))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 341 (b) -2\/21 (c) -101\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*m**2 - 3116*m - 3118*m - 71*m**3 + 6234*m to r + i*m + o*m**2 + d*m**3 and give d.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4862055 and 133220307?\nAnswer: 666101535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j - 1. Let k(o) = 3*o**3 + 12*o**2 - 15*o + 12. Let m = -7 + 6. Let d(z) = m*k(z) - 12*l(z). What is the second derivative of d(a) wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l)\/(l\/l**(-2\/15))*l**(-1\/4)*l*l**(-2\/3) assuming l is positive.\nAnswer: l**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1423357, -1423454, -1423551, -1423648?\nAnswer: -1423745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 18.183847.\nAnswer: 5.4551541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2 + 105*t + 54.\nAnswer: -3*(t - 18)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26532 by -6.\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*u = 174*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1038 times -4\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-405 + 405 + 13*v)*(-v - 3*v**2 + v) to s*v**2 + t*v**3 + l + g*v and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6*q = -12. What is the lowest common multiple of 9 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 44, 0.4, 0, 28\/3, 2, -2\/5?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -683\/7 + 98. Let q = -42.5 + 42. Which is the closest to m? (a) q (b) -5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/(w*w**2)*w)\/w*w*w*w\/(w*w\/(w**(-3)\/w)))**(-1\/22))**(-2\/51))**(-3\/20) assuming w is positive.\nAnswer: w**(1\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 6*t**2 - 6*t - 29. Let a(s) = 6*s**3 + 17*s**2 + 17*s + 87. Determine -6*a(v) - 17*f(v).\nAnswer: -2*v**3 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503082137.\nAnswer: 107, 953, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/(-21)*(-3)\/15. What is the second smallest value in -3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(720) - -2*(sqrt(720) + -1 + sqrt(720)) - -4*(sqrt(720) - (-1 + sqrt(720)) - sqrt(720)))*5)*3)**2*-2.\nAnswer: -325800 - 21600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*(-2)\/8*-12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/q**(-6))\/((q*q**5)\/q*q**(3\/5))*(q**(5\/7)\/q*q**(-9))**43 assuming q is positive.\nAnswer: q**(-14031\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1)\/(5\/5))*(-3)\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6*x + 9*n - 21, n - 2 = -x. Let y(h) = h**2 - 4*h - 7. Let d be y(6). Which is the closest to x? (a) 1\/2 (b) d (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let l = w + -3. Let s(j) = -j**2 + 8*j - 14. Let b be s(2). What is the closest to 0 in 0.1, b, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65ba69 - 5?\nAnswer: 65ba64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 25 = 5*m, -v + 6 + 2 = m. Let t be (1 + 1)*1*m. Suppose w + 2 = 5*a + 2*w, 3*a = -3*w - t. Are 1\/6 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(1\/2)*(g*(g*g*g**(3\/7))\/g*g)\/((g\/(g\/g**(1\/5)))\/g*g))**(-32) assuming g is positive.\nAnswer: g**(304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 86 = -5*l. Let x(p) = p**2 - 2*p - 7*p + 24 + p**3 + 10*p. Let h be x(0). Calculate the greatest common divisor of h and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**3 - 66*f**2 - 28*f + 138*f**2 - 19*f - 72*f**2 wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.4 - 20.3. Let z = -37 - o. Which is the closest to -0.1? (a) z (b) 3\/2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(243) - (-1 + 2*sqrt(243))) + -2 + sqrt(243) + 0)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779293961 to the nearest integer?\nAnswer: 27916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 times -0.7\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 x when four letters picked without replacement from {x: 8, g: 6, e: 3, v: 1, f: 1}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 14*a + 27. What is v(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 283 - 271, 10*r - 5 = -5*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 = -a + 13, 2*a - 3*s - 21 = 0. Solve -5*j = 4*q - a, 3*j + 2*q - 6 - 1 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/12 - 3234325*r\/6 + 10460858205625\/12.\nAnswer: (r - 3234325)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/210 - i**6\/60 + i**4\/12 - i**3\/2 + 3*i**2. Let m(o) be the first derivative of n(o). Factor m(r).\nAnswer: 2*(r - 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, g: 3, n: 3}. Give prob of picking 2 n and 1 g.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 91.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12353663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 4*n**2 - 50 + 138 - 88.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 580793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/50 - -17\/25. Calculate the common denominator of v and ((-6)\/8)\/(2\/(-92)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djwxc. Give prob of sequence dwc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*x + 7*d - 84, 4*x + 2*d - 160 = 0. Solve -8*v - 5*v = -x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4201 (base 10) in base 12?\nAnswer: -2521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3d717c (base 16) to base 13\nAnswer: -aacabb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8632*b**2 + 329492*b**2 + 665066*b**2.\nAnswer: 1003190*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36995879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 66. Let x = 39 + s. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 8 - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 5*q**2 + 2*q**2 - 13*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69760 and 32.\nAnswer: 69760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 - -212. Let m = y - 25. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((16\/10)\/(-4)). Let u be (-17)\/m - (-12)\/(-30). Suppose 42 = 3*a - u. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 128 + 127 = -h, -1 = 2*l - h. Let a(j) be the second derivative of -3\/2*j**4 + 0*j**3 + l*j**2 + 3*j + 0. Let i(s) = 2*s**2. Give i(a(y)).\nAnswer: 648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102020100112 (base 3) in base 14?\nAnswer: 943929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + -15 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {s: 2, h: 4, b: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*b**3 + 110*b**3 + b**2 - 2*b**4 + 117*b**3 + 5*b**4 + 6*b to o*b**3 + c*b**2 + l + r*b**4 + m*b and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120164 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaacaaac. What is prob of sequence cc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -28868.\nAnswer: 5\/28868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-6552)\/(-2730)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/7 + 222*t**3\/7 + 1468*t**2\/7 + 1248*t\/7 = 0.\nAnswer: -104, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimmifm. What is prob of sequence iim?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - 816?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-571)\/(-4))\/1)\/(-51 - (-48984)\/960) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 35*a**2 - 4*a + 6. Let q be p(-19). Let t = -17997 + q. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/42*27\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-30)\/(-100))\/(3\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825*-1.3.\nAnswer: 1072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 10.6, -26\/11, 341?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -381842, -763668, -1145494, -1527320, -1909146?\n\"Answer: -381826*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by -5.\nAnswer: 254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 1*(sqrt(88) + (sqrt(88) - ((2*sqrt(88) + sqrt(88))*-6 - sqrt(88)) - sqrt(88)) + sqrt(88))\/(-6*sqrt(32)) + 2).\nAnswer: -9 + 21*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 943 and 6601?\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 775915374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117952256 smaller than 117952255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 - 870*y**3 - 190093*y**2 - 377580*y - 188356 = 0.\nAnswer: -434, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-32)\/8)*(-2)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let b(q) = -1441*q**2 + 3. Calculate b(y(g)).\nAnswer: -5764*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5641994462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-60))\/(18\/27).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188251336 or 188251333?\nAnswer: 188251336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 370, -2\/65 in decreasing order.\nAnswer: 370, 3\/7, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/6 - 935\/(-510). Sort 0, 140, k in decreasing order.\nAnswer: 140, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3243*f**3 - 9*f**2 - 730*f + 63 wrt f?\nAnswer: 19458*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 700*q**2. Let m(z) = -2*z. Give m(v(l)).\nAnswer: -1400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j**3 - 11*j + 15*j**2 - 4*j**3 + 2*j**3. Let p(q) = -3*q**3 + 3*q**2 - 2*q. Suppose -117*h - 95*h + 2145 = -17*h. What is h*p(f) - 2*z(f)?\nAnswer: -f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(297))\/sqrt(11) - -1*sqrt(3)*-1) + -5 + -1.\nAnswer: -6 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*k - 3 - 3, 8*s - 31 = -3*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 9 - 17 - 3337*d + 2 in the form m + b*d and give b.\nAnswer: -3337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8517476 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31945 - 10678 = 17*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -7*h + 4*h + 132, h - 28 = 5*a. What is the remainder when 126 is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2)*28\/(-84). Factor -2*c**4 - 3\/5*c**5 - 12\/5*c**3 - 6\/5*c**2 - 1\/5*c + u.\nAnswer: -c*(c + 1)**3*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*g**2 + 20*g - 16.\nAnswer: 4*(2*g - 1)*(3*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccqccp. Give prob of picking 2 c and 1 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l**2 - 5*l**3 + 0*l + l + 6*l**3 + l**3 to m*l + g + b*l**2 + k*l**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4\/39)\/((-2)\/3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76208\/155880)\/((-11)\/50).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + ((-6)\/(-9))\/(14\/399). Let q = -3 - -7. Suppose -2*l + 414 = q*r, 0 = -4*l + 5*r - r + 828. Calculate the highest common factor of l and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 18 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**5 - 28*w**4 - 58*w**3 + 56*w**2 + 24*w = 0. Calculate w.\nAnswer: -2, -1\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -168953072, -168953073, -168953074, -168953075?\n\"Answer: -y - 168953071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12469312 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 188480\/31310 + (-2 + (-3 - 2) - -1)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 0 = -2*a - 0 - 6. Let s(j) be the second derivative of -j**4\/24 - j**3\/3 - j**2 - j. Let t(r) be the first derivative of s(r). Determine t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011326472 to 6 decimal places.\nAnswer: -0.001133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3 = u + 3*b, -2*b + 19 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i, -8 = -2*l + 2*i - 4. Let s be -4 - -6 - l*1. Calculate the highest common divisor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393 - 313 + 521)*(-4*p + 2*p + 3*p).\nAnswer: -185*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/67, -0.1, -0.2, -26, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 - 494.0153. Let p = v + 0.02619. What is p rounded to 4 decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, 66034\/13 in ascending order.\nAnswer: 3, 22, 66034\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 167 = -2*w, -5*a - 43*w - 137 = -46*w. Let d = -3\/37 - -101\/333. Put d, -3, a, 0.4 in descending order.\nAnswer: 0.4, d, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/20 and 79\/17540.\nAnswer: 17540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/15)*p*(p*((((p*p\/p**(4\/9))\/p)\/p)\/p)\/p)\/p*(p\/p**(-1))**(-1) assuming p is positive.\nAnswer: p**(-149\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 9938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhh when three letters picked without replacement from nzzhznnnhhzzzznhzzz.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/13 + 198878*r**2\/13 - 397750*r\/13 + 15298 = 0.\nAnswer: 1, 99437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 22*v**2 - 2*v - 1. Is z(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/150 and -97\/460.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 7. Let c be t(-3). Let g be 266\/(600003\/(-150000) - c). What is g rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 192. Let o = -66 - c. Suppose -48 = -f - f - 5*z, 3*z + o = 4*f. What is the highest common divisor of f and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**2*o + j**2*t**2 + 19*j**2*z + 33*j**2 + j*o*t**2 + 192*j*o*z - 6144643*j*t**2*z - 2*j*t + 2*j*z wrt t.\nAnswer: 2*j**2 + 2*j*o - 12289286*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from dpfpwppfdppd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 285 - 240 = 5*m, -4*u + m = -4*m + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(48) - sqrt(42)\/(sqrt(6)*-2))*-2.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*a, 0 = 3*d + 1578*a - 1574*a + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 43*u**2 - 133*u**2 - 17*u**2 - u**3.\nAnswer: u**3 - 193*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/40 - (-2)\/(-5). Suppose v*c = 2*c - 15. Let l be (-2)\/(-6) - 100\/c. What is the highest common factor of l and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 21*x**2 - 17*x - 38. Calculate the remainder when 31 is divided by j(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8 - 0. Suppose 2*o = -h + 12. Suppose 5*i + 50 = 31*g, -2*i + 13 = -3*g + 33. Sort o, 2, g.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 521866246918 and -0.05?\nAnswer: 521866246918.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let r(o) = -76*o + 12. Let b be r(-8). Let g(l) = -620 - 19*l + b. Calculate p(g(n)).\nAnswer: -722*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c*c**(-7\/4)*c**(6\/13)\/(c*c**(3\/2)) assuming c is positive.\nAnswer: c**(-197\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 + 114*i + 4. Let m be v(0). Factor 0 + 0*a + 8\/9*a**2 + 4\/9*a**3 - 4\/9*a**m.\nAnswer: -4*a**2*(a - 2)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57873050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7*r + 2*h + 70, 3*h = -2*r - 40. Let m be r\/117 + 111161\/9. Let c = m + -131551. What is c rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p**3 - 7*p**2 + 50*p - 86. Let x(z) = -7*z**3 - 2*z**2 + 17*z - 29. Let k(f) = -4*t(f) + 11*x(f). Is k(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18.5. Put 2, r, 2\/107 in descending order.\nAnswer: 2, 2\/107, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-902)\/630 + (-1 - 144\/(-60)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 + 1\/36*z**6 + 0*z + 2*z**2 + 1\/4*z**4 + 2\/9*z**3 + 2\/15*z**5. Factor o(k).\nAnswer: 2*(k + 1)**2*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 2*j**2 - j. Let s be z(1). Suppose s*c + c = 3, 5*y - 8 = 2*c. Let i = 1 + -1. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -22*m**3 + 98*m**2 - 15*m + 5. Let b(g) = 21*g**3 - 97*g**2 + 12*g - 4. Determine 5*b(v) + 4*l(v).\nAnswer: 17*v**3 - 93*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22104 and 11052.\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 75*y - 2. Is m(2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 11 - 52. Solve 6 = -j - b, 0*j + 4*b + m = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - -13)*(-14)\/3. Calculate the highest common divisor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14263 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k + 2*g, 0 = 14*g - 8*g - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -188, -234, -298, -374, -456, -538, -614?\n\"Answer: i**3 - 15*i**2 - 8*i - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80, 165, 250, 335, 420, 505?\n\"Answer: 85*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uccc when four letters picked without replacement from cccccccccccccucccccu?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056659 less than -0.4?\nAnswer: -0.456659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -43, -55, -63, -67, -67?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2852)\/(-155))\/(3\/(-15)). Sort x, 0, 4, -2 in descending order.\nAnswer: 4, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 563547620 and 3070.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7 + 0)*((-12)\/(-24))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12 + 10 + 2009*o**2.\nAnswer: 2009*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**2 + 7*m + 2. Let v(n) = -17*n**2 + 14*n + 5. Let o(z) = 5*b(z) - 2*v(z). Let k(r) = -6*r**2 + 4*r. Determine 7*k(p) - 4*o(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + p - 2*p + 3*p + 3*p = 5*d - 14, 0 = -3*p - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 17*d + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 17. Let d(n) = 12*n + 23. Let t(r) = 2*r + 4. Let x(v) = k*d(v) + 34*t(v). What is x(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let g(q) be the first derivative of q**y + 0*q**5 + 0*q - 1\/3*q**6 - 2 + 0*q**3 + 0*q**4. Find the second derivative of g(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1638)\/14742 - 4\/(-198)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004213102 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -231*j - 7. Let q(u) = -473*u - 11. Give -5*d(x) + 3*q(x).\nAnswer: -264*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -4*(sqrt(95) - -2*sqrt(95)) - ((sqrt(95) + -1*sqrt(95))*2 - sqrt(95)))\/((sqrt(405) + (sqrt(405)*1 - sqrt(405)))*-5))**2 + 5.\nAnswer: 13849\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 + -4ca?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4340498008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1501257 by 1.\nAnswer: 1501257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 33, 82, 151, 240, 349, 478?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334094633 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -10) + -3 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 21.\nAnswer: -4, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 25*a - 113. What is t(11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1150540 (base 7) to base 12.\nAnswer: -70aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 9*d**2 + 6*d - 15. Determine v(7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.035 - 10. What is b rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 24. Let k = -4 + -2. Let l = 3 + k. What is the smallest value in 0.4, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30947283 >= 30947279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 464200 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*c = -223*c + 4*r + 36, 5*c = -3*r - 37 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:40 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 12:01 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 - 17*w. Let r(o) = -o**2. Let l(v) = -k(v) - 2*r(v). What is the second derivative of l(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1185 = 5*c, 0*c - 5*u = -3*c + 705. Let z = -188 + c. What is the greatest common divisor of 91 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5500 + -5497. Let n(z) be the first derivative of -9\/4*z**2 - 7 + 0*z + 1\/2*z**h + 9\/8*z**4 - 3\/10*z**5. Determine l, given that n(l) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (350\/630)\/(1\/9). Suppose 0*u - 5*b - 3735 = -3*u, -q*b = 0. What are the prime factors of u?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 64*f**3 + 2863*f**2\/2 - 11034*f + 27846 = 0. Calculate f.\nAnswer: 6, 7, 13, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5256\/(-11826))\/((-20)\/1656*-4)\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19914 divided by 3319\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-70)*2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:33 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5 = -5*w, 4*w + 74 - 61 = v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4 - 1112188*l**3 + 21132384*l**2 + 50050044*l - 70070238 = 0.\nAnswer: -556113, -3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 3*k**3 - k**3 + (3 + 1 - 3)*(k**3 - 2*k**3 + 0*k**3) - 4 - 11*k**3 + 4 + 4*k**2 - 8*k - k**3 + 0*k**3 + 6*k.\nAnswer: -11*k**3 + 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 6 = -17*y. Suppose s - s = y*s. Suppose 2*a - 2*f + s - 20 = 0, 4*a - 46 = f. Calculate the least common multiple of a and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 + 277.032. What is t rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:02 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518840 is divided by 136.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n + 44. Let g = 147 - 129. Suppose 0 = 5*q - g*q + 78. What is the hundreds digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134876519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 2*f**4 - 5*f**4)*(-24 - 39 - 17*f + 61).\nAnswer: 17*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3074 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 10. Calculate the remainder when 4\/(c - -2) + 33 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 42. Let n be 9\/5 - 8\/j. Solve -5*g = -n*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 4. Let c = -2.153 + 2.153. What is the nearest to f in c, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/75)\/(6\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + -0.03. Let r(t) = t**3 - 4*t**2 + 2*t - 4. Let g be r(4). Let s be (-23)\/5 - g\/10. Which is the nearest to o? (a) s (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1693 - 1691. Solve 4*j - 12 = 2*i, -5*j + 8 = -3*j - o*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 4*c, c + 7 = 3*z. Let l(q) be the third derivative of -1\/6*q**3 - 1\/12*q**4 + z*q**2 + 0*q + 0. Differentiate l(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 2*t)*(-3*t + 3*t - 2*t) - 2 + 128*t**2 - 267*t**2 + 131*t**2 - t.\nAnswer: -10*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 - 155460*t**2 + 4547975796*t - 961678664604.\nAnswer: 4*(t - 58191)**2*(t - 213)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 623*o**2 + 3697*o + 3747. Determine s(617).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 4*y - 18. Let l be w(16). Suppose -38 + 56 = -3*k. What is the common denominator of -35\/12 and k\/10 + (-921)\/l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Suppose 5*s = -1 - 4. Let q be t(s). Solve -4*p - 3 = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3232078 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 219854 = 2*u + 219858, 0*q + 16 = -4*q - 4*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -124. Let a be 26\/i + -1 + -1. Which is greater: a or -3\/29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c. Let m = 3 - 5. Let a = m - -5. What is the units digit of r(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = q + 54, -4*a = -3*q - 36 + 134. Let y = -14 - a. Suppose u - 44 = -3*x, -2*x - 4*u + 24 = -y. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33231151 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, -3.5, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t. Let k be q(-3). Let x = k - -5. What is the greatest common divisor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*u = 2*u + 6, -5*k = 2*u - 10. Suppose k*q - 2 = 3*q. What is the biggest value in -1, -5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1512172 and -0.1?\nAnswer: -151217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4031601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 10:06 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*l = 4*p - 23, 5*p - 3*l - 27 = 0. Let a be (p\/(-6))\/((-2)\/16). Suppose 410 = a*g - 50. Calculate the remainder when g is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4253609 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3 - 3 - 4 + q**2. Let i be r(-3). Let j be ((-2)\/8)\/(1\/(-4)). Solve -x - 2*x = -i*c + 19, x + 2*c = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16155 is divided by 559.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551130.\nAnswer: 2, 3, 5, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 3, -873 in decreasing order.\nAnswer: 59, 3, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415697017 to the power of 1\/3, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*j**3 + 779*f*j**2 + 7*f*j + 9*j + 2 wrt j?\nAnswer: -18*f*j + 1558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdlemmdddmdmdmm. What is prob of sequence em?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*i - 0*i - 188, 2*i - 188 = -2*f. Calculate the remainder when (-1 + 3)*f\/4 is divided by (-4)\/(-2) - -15 - 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-126)\/(-4)*40\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2854, 5710, 8566, 11422, 14278?\n\"Answer: 2856*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1885\/(-3016))\/(1\/(-24))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*d**3 - 38*d**3 - 7*d**3)*(-4*d**2 + 3*d**2 - d**2).\nAnswer: 230*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/10 - 5*p**4\/24 - p**3 + 43*p**2. Let o be g(-1). Solve -o*b + 0*b - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + -1220156?\nAnswer: -1217746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from yryrrrr?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075701047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -375, -385, -417, -483, -595?\n\"Answer: -2*m**3 + m**2 + m - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 19, 79, 207, 427?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 10. Let l be u(-4). Let h be 3 - 2\/1 - l. Suppose h*k = -2*k + 220. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 + -5.33. Which is the nearest to 0.6? (a) j (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Solve 0 = -k - 4*r + 7, 3*k + u*r - 13 = -2*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -0.04 (c) -3748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 438999 and 0.01.\nAnswer: 438999.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 112\/(-960) - 4\/30. Put y, -3\/2, -3, 0.2 in ascending order.\nAnswer: -3, -3\/2, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (215\/8*26388\/(-7330))\/(3\/(-4))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3175762ml?\nAnswer: 0.0003175762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3 - 5 - 3 - 2 - 11*k. What is the least common multiple of 20 and h(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.5. Let z = 0.51 - 0.81. What is the biggest value in b, -3, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(-80)\/680*5\/390?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079649307 rounded to 5 dps?\nAnswer: 0.00796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 453?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 52*v**2 - 106*v + 438. Calculate c(-20).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(384) + sqrt(6) - sqrt(6))\/sqrt(2)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -411 + 410. Let t = 4 - 0. Which is the nearest to 1\/2? (a) t (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234601.\nAnswer: 379, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 bigger than 5.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, 540, 1616, 3154, 5172, 7688, 10720?\n\"Answer: 3*a**3 + 204*a**2 - a - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k. Let h(a) = 38*a + 2. Give u(h(g)).\nAnswer: 114*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -l - 68, i - 6 - 8 = -4*l. Suppose -527 = -9*q - 32. Calculate the greatest common divisor of q and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let z be (-3 + (-6)\/(-3))*0. Which is the smallest value? (a) g (b) 2\/17 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 + 2. Let p be d(4). Let l be (p + 5\/(-2))*-6. What are the prime factors of 19\/2 - l\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z + 8. Calculate h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 8:28 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 932*m - 934*m. Let c(o) = -7*o**2 + 35*o + 40*o**2 - m*o. Let a(x) = 12*x. What is a(c(p))?\nAnswer: 396*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 318 divided by -394\nAnswer: -159\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.757892 + 0.06.\nAnswer: 1.817892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*c - 9, 5*c + 2 - 23 = -o. Suppose -c*b = -83 + 15. Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -107, -257, -471, -749, -1091?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 - 223. Let q = s - 207. What is the remainder when q is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 771\/72 + 861\/(-2296). Solve 0 = 5*v + 5*g - 35, 5*g - 21 = -d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 315, 295, 269?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by 121.\nAnswer: -237\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414982737?\nAnswer: 3, 13, 1182287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -92. Which is the closest to 2\/5? (a) -1\/4 (b) -4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*h = 78*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3907*m + 245*m**2 + 3907*m)*(2*m + 0 + 0).\nAnswer: 490*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 - 44\/(-28). What is the smallest value in t, -2, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/30407036 and -159\/770.\nAnswer: 1064246260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*r - 2*g, -r = -3*r + 3*g + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 43, 2.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.3711 - -13.171412. Let v = -3.2 - f. What is v rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66686 = m - 14*u + 11*u, -2*m + 3*u = -133372. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.83 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6158.\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 9*r - 19. Give y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 9676 = 15864 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-5 + sqrt(343)) + 6*(sqrt(343) - (sqrt(343) - (0 + sqrt(343)))).\nAnswer: -32 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 10 + (-319)\/33. What is the nearest to l in -2\/15, -5, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-30)*6\/(-4). Suppose -4 = c*y - 8. Sort 5, y, 3 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*y = -12, y + 0 = 2. Let v be 6 - 9 - (-6 - i). Let g be ((-111)\/(-74))\/(5\/50). What is the highest common divisor of v and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3 - 2*a**2 + 3 + 7*a - 2 + 2. Let q(y) = y**2 - 2*y - 2. Let g(v) = 2*j(v) + 7*q(v). What is the first derivative of g(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-916)\/(-8244))\/(4\/(-90))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196.32 - 204. Let b = -2 + 10. Let q = v + b. Round q to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*v*x**2 - 553*v*x - v - x**4 + 8875*x**3 + 86*x wrt x.\nAnswer: -22*v - 12*x**2 + 53250*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -1, -0.5, -43\/127.\nAnswer: -1, -0.5, -4\/9, -43\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -11 + (-2 - (-14 + -6 + 19))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - (-13 - 1)) + (-2 - 15 - 14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024787826.\nAnswer: 2, 3, 97, 433, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262\/11 - 24. Suppose -h = 3*g, 7*g - 5*h + 18 = 4*g. Does j = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5797 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -374*v. Let k(w) = 1365*w. Give f(k(n)).\nAnswer: -510510*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 2*y + 2. Let b(q) = 29*q**3 + 5*q + 23. Let u(l) = -14*l**3 - 3*l - 11. Let c(z) = 4*b(z) + 9*u(z). Calculate -4*c(m) - 14*t(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81625676*b**4 - b**3 - 10926*b**2 - 24*b + 33.\nAnswer: -1959016224*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 2*h + 6. Let m(o) = 9*o**2 + 5*o - 11. Let f(a) = -4*m(a) - 7*s(a). Let x be f(-6). Factor 10\/9*q**x + 4\/9*q + 8\/9*q**3 + 0 + 2\/9*q**4.\nAnswer: 2*q*(q + 1)**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-2)\/(-3))\/((-2)\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/29, -4, 1, -4\/5 in descending order.\nAnswer: 3, 1, 2\/29, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1136?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 888623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -7. Let u = 7 + y. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -16, 3*d + k - 24 = -2*d. Suppose -2*j - 4 = -4*j - 4*f, 0 = 3*j + d*f - 4. Suppose -2*u + 0*u + 18 = j. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24071600 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -9. Let g be (f\/(-5))\/((-4)\/30). Let c = -5 + g. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 - 841*f**3 + 13*f**2 + 15583*f + 4 wrt f.\nAnswer: 36*f**2 - 5046*f + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/5 - 166*a**4\/5 + 104*a**3 + 64*a**2 - 2048*a\/5 + 1376\/5 = 0.\nAnswer: -86, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 411 = -2*b + 208, -4*r + b - 494 = 0. Let u = r + 135. What is the smallest common multiple of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*g + 2*g - 9*g)*(1 + 2 - 1) + (-2 + 3 - 3)*(2*g - g + 0*g) + 4*g - g - 2*g - g + 2*g + g)*(g**2 - 3*g + 3*g)*(-12 + g**2 + 6 + 5) - 3 - g**5 + 3.\nAnswer: -2*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257446 is divided by 2681?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r. Let u(q) be the second derivative of -20*q + 1\/4*q**4 + 0 + 0*q**2 + 0*q**3. What is u(s(m))?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 133*i - 162. Determine g(-2).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -c - 4*c. Let q be (2 + -1)*1*185. Let j = 281 - q. What is the greatest common factor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84566 (base 10) to base 14\nAnswer: -22b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d + 3. Let k be j(0). Let n = -34.9 - -32. Let z = n + 3. Which is the nearest to z? (a) 1\/3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-3 + 0) - -20. Suppose -2*x - d + 44 = 0. What is the lowest common multiple of x and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6 - 4*y - y**4 + 3*y**3 + 2*y + 5 as z*y + x*y**4 + s*y**3 + w + v*y**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = -15. Let q(i) = -3*i - 8. Let c be q(x). Let k = 19 - 11. Is k less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -197*u - 52536. Calculate y(-278).\nAnswer: 2230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (81\/(-9) - (-42)\/7). Let w(c) be the first derivative of -4\/3*c**3 - 6*c**4 + 0*c + 0*c**s + 20. Determine p, given that w(p) = 0.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (30 + 0)\/6 + (0 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 192021, 384042, 576063, 768084, 960105?\n\"Answer: 192021*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 80 - (-9 + -1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 10*b - 76. Calculate y(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8501, -16970, -25439?\n\"Answer: -8469*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.5772ml to litres.\nAnswer: 0.7255772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.050001748 - -9.05. Round r to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 29*m**3\/3 - 2*m**2 + 1. Let n be ((-28)\/(-35))\/(1\/(-5)). Let p be z(n). What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18 from -6.02.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**2 + 11*c**2 - 25*c**2.\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 36*u + 36*u. Let r(w) = 2*w**2. What is r(h(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 3*n**4 - n**4 + (-4*n**2 + 2*n**2 + 0*n**2)*(3*n - 3*n + 2*n**2) - 3*n**4 - 2*n**4 + 4*n**4 + 2*n - 6*n**4 - 2*n.\nAnswer: -15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48856287.\nAnswer: 3, 307, 53047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from kkkkkkkgkgkkkg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*u - 12 = 0, 2*k - 22 = 2*u + 3*u. Suppose m - k = -4*x, 8*x - 4*x - 10 = m. Let d(o) = -o**3 + 3*o - 3. Give d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2532313.9 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:55 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 + 190. Let n = 35.196 + -0.196. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121700909 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2299005547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**3 + 3*d**2 + 17*d + 14. Suppose -354 + 124 = 44*v + 254. Let w(b) = 3*b**3 + b**2 + 6*b + 5. Calculate v*w(h) + 4*y(h).\nAnswer: -h**3 + h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2442 + 41476\/17. Let k = -607\/51 - o. What is the common denominator of k and 2\/(-8) - (-310)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 73*f + 600 + 464 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1444*z + 2710*z = 1438*z - 8131 - 7865 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52523 - -12?\nAnswer: 52535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j = -70*j - 15. Suppose -j = -9*o + 6. Let n = 2 - 2. Solve n = -5*l - 5*r - o - 9, 2*l - 5*r = 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002892845184 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:29 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/18 - ((-10)\/45)\/(-1). Solve 9*i - c = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 31604. Let n be t(0). Suppose 0 = 3*y + 2*k - 23692, 4*y + 0*k = k + n. Round y to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 2000.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7478.934ml in litres?\nAnswer: 7.478934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21949, 43896, 65843, 87790?\nAnswer: 109737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/175)\/((-36)\/600*-10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**21*(j**(-1)\/j*j)\/(j**(-3\/4)\/j)*((j**(-2\/7))**(-36))**(-2\/125) assuming j is positive.\nAnswer: j**(-34701\/3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1020*f - 1052. What is the units digit of l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/5 - 7104*p**4\/5 + 369057*p**3\/5 - 513210*p**2 - 12621780*p + 13062600 = 0. What is p?\nAnswer: -2419, -10, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -0.2. Let v = -826 + 826.1. What is the closest to v in 3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 18.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/327603 and 28\/2031.\nAnswer: 221787231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 405b - 1aa?\nAnswer: 3a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5 + 396*t + 2 - 2 - 4.\nAnswer: 396*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(19)) + 1.\nAnswer: -7 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 - -2172642.\nAnswer: 2172533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -343.589 + 0.589. Let d = 341 + w. Which is the third smallest value? (a) 46 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/416 - (-5021)\/(-8). Let v = w + 1705. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3\/6 - 19*c**2\/3 + 19*c\/6 + 7\/3 = 0 for c.\nAnswer: -2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 112*v + 15. Calculate y(-41).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 18 (c) -3 (d) 2\/33 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9320357141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 97060 * 5\nAnswer: 485300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-69)\/(-36) + 25\/(-15). Which is the nearest to f? (a) 1 (b) -2 (c) 8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 73, 106?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979120 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210202202 (base 3) in base 4?\nAnswer: 123321230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5076*w**2 + 44418*w**2 + 59008*w - 59008*w.\nAnswer: 49494*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1, 423?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(p - p - p**2) - 7855 + 7855 + 1364*p**2 + (-1 + 1 + 2*p)*(p + p + p) in the form z + f*p + t*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8, -4*k + 2*i - 8 = -4. Which is the third biggest value? (a) -0.09 (b) -1 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 1. Let v be a(1). Suppose -8*l = -209 - 255. Let p be (-4)\/18 + l\/18. Sort p, -1, v in decreasing order.\nAnswer: p, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.7 + 8. Let k be 14\/4*(-24)\/(-56). Let m = 0.1 + -0.2. Sort k, v, m in descending order.\nAnswer: k, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2709*c**4 + 73*c**2?\nAnswer: 65016*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/42395301 and -57\/4?\nAnswer: 169581204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/30 - x**4\/4 + 25*x**3\/2 + x**2 - 7*x. What is the units digit of y(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 79*f - 107. Let r be -1*((-263)\/(-7) + 66\/154). Let g be k(r). Let d be ((-2)\/8)\/((-2)\/46). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3729920 by -93248.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/84 and -59\/4454.\nAnswer: 187068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 21 + (-10 - (4 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -844?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19311.59g in micrograms?\nAnswer: 19311590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -58 + 54, m = -o - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*v - 16*c = 108*v - 20, -2*c - 10 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 21175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3 - 24*i**2 + 84*i + 784 = 0. What is i?\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48347 is divided by 396?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 15.7, -1\/454?\nAnswer: -1\/454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8160508, -16321016, -24481522, -32642026, -40802528, -48963028?\nAnswer: -57123526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270607 - -1012?\nAnswer: -267575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2794*l**2 + 30470*l**2 - 6270*l**2.\nAnswer: 26994*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.054 and -10?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*j + 160454 - 160454 to the form p + i*j and give i.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (36 + -28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + (-27)\/30. Suppose u + 12 = -g + 345, 3*g - 1027 = 4*u. Let d = 339 - g. Which is the nearest to z? (a) 1\/3 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m**(1\/5))**(-46)\/(((m\/(m*m\/((m\/(m*m**4\/m))\/m)))\/m**(-3))\/(m**(2\/9)*((m\/m**1)\/m)\/m)) assuming m is positive.\nAnswer: m**(-12824\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**2 + s**2)*(2*s + 2*s - 6*s + (5 + 19 - 3)*(4 + 2*s - 4))*(2*s**2 + 4 - 4).\nAnswer: 240*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2422, 9670, 21750, 38662, 60406, 86982?\nAnswer: 118390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 - 7*b - 218. Determine x(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5*t + 11 - 6, -32 = -4*t + 5*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821355649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjdjjjjjjdjj. Give prob of sequence dj.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1010001101001010000 (base 2) to base 6\nAnswer: 11100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifu when three letters picked without replacement from {u: 4, i: 4, f: 8, m: 2, l: 1}?\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - 28\/(-70). Let q be 23\/7 + (-4)\/14. Sort q, a, -2 in descending order.\nAnswer: q, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 21 - (-5 - 33) - 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 231*h + 907. Calculate g(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295668121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -2)\/((-315)\/135 - 1\/(-3)). Solve -4*a + 0*a + 2*m = 10, v = 5*a + 5*m + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.12 (c) -0.328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + 6. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -437*g**2 - g + 22. Let p(o) = 1310*o**2 + 3*o - 63. Determine -3*p(i) - 8*v(i).\nAnswer: -434*i**2 - i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385388?\nAnswer: 2, 3, 29, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 156 = 4*q. Suppose 21*f + q = 23*f. Let l be 3\/(-3) + -3 + f. Sort -3, l, -2, -4 in ascending order.\nAnswer: -4, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 + 76*r - 78 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-9 - -42)\/(-11).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*q + 391*q + 95 = -913 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s**3 - 6*s - 6. Let v(k) = 145*k**3 + 55*k + 55. Give -55*q(m) - 6*v(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2105017?\nAnswer: -2105016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158b (base 15) to base 12.\nAnswer: -281b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s - 280 - 510 = -454 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 s when four letters picked without replacement from shhxsshhxh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 352*c + 2869. What is j(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113007.\nAnswer: 3, 139, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*2 - -1. Suppose 4*d - 3*k - 16 = 0, -k = -0*k. Let j = d + r. Solve -j = z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 126*r**3 - r**2 - r + 3. Let k = -43 + 44. Is g(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -3*r - 41. Let w = -35 - r. What is the tens digit of 41*w*(0 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220211221 (base 3) in base 15?\nAnswer: 43a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.39096298 from -529628.\nAnswer: -529627.60903702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 7*u**2 - 1. Let g be m(-7). Let v be (4 + g)*25\/15. Suppose -2*r + 79 = v*f, -4*f = -r + 49 + 23. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, 0*r + 5*r = -4*b + 1540. Let v = r - -1209. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2060, -2061, -2062, -2063?\n\"Answer: -a - 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3887 - -1622. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 22. Let s = 2.7 - x. Which is the second biggest value? (a) 0.4 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*t - 1763 = 0, 292 - 296 = 4*t. What is the greatest common divisor of 132 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43225309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273299692*g**3 + 580220560*g**2.\nAnswer: 1639798152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148668*p**5 - p**4 + 715*p**2 + 134*p wrt p?\nAnswer: 8920080*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r + 13 - 13. Suppose -3*q + 0*m = 2*m - 30, -5*m + 15 = 0. Let g(l) = -q*l - l**2 + 8*l. Determine g(j(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 8. Let f(s) = s**3 + 4*s**2 - 2*s + 2. Let k be f(-4). Let x be (h\/(-14))\/((-15)\/k). Which is the nearest to 0? (a) x (b) -1\/7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 0*l**2 + 2*l**2)*(-2036*l + 994*l - 4075*l).\nAnswer: 10234*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 5, r: 1, p: 4, s: 3, k: 3}. Give prob of sequence php.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 2 + 2 - 2. Let b(q) = -3*q - 1. Suppose 5*k = -2*k + 28. Let z(f) = k*c(f) - 3*b(f). What is the first derivative of z(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -57*y + 53*y, 0 = 3*y + n. Sort 35, y, -2 in ascending order.\nAnswer: -2, y, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 14*i + 4*i + 6*i - 29*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34759, 68967, 103161, 137335, 171483?\n\"Answer: -v**3 - v**2 + 34218*v + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -124, -366, -906, -1894, -3480, -5814, -9046, -13326?\n\"Answer: -25*i**3 + i**2 - 70*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 6*l + 29. Calculate k(-7).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)*6 + sqrt(104))\/(sqrt(96)\/sqrt(3))*4 + -2 + ((sqrt(208) - (-4 + -1*sqrt(208))) + sqrt(208))*4.\nAnswer: 14 + 74*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2381, -5405, -8529, -11747, -15053?\n\"Answer: c**3 - 56*c**2 - 2863*c + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = 16, -c = -5*p - 9. Let t(w) = 83*w**2 - w. Is t(p) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 489 - 489.1. Let g = -5.8 - -3.5. Is a greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 906.\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let i be r(-4). Differentiate -2 + p**i + 0*p**4 - 2*p**4 + 3*p**4 with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 6. Let y be g(3). List the prime factors of (2*-2 + y)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 28. Let s = -19 + y. Put s, 4, -1\/4 in descending order.\nAnswer: 4, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76 and 0.7.\nAnswer: -75.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -39411 divided by -3?\nAnswer: 13137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 20*m**2 - 19*m + 14. Let q(c) = 2*c**3 - 40*c**2 + 37*c - 28. Let l(r) = -9*g(r) - 4*q(r). What is the hundreds digit of l(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/212040*-80)\/((-4)\/3*6\/36).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1811, 2372, 2947, 3548, 4187, 4876, 5627, 6452?\nAnswer: 7363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**0\/f))\/(f\/(f\/f**(2\/5)*f)))\/(f\/(f*f*(f*f\/((f\/(f**3*f*f))\/f))\/f)*f**6) assuming f is positive.\nAnswer: f**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 19. Calculate h(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.691866 - -31.7971.\nAnswer: 32.488966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*a - 236*a + 5789784. Does 49 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, r: 7, z: 2, q: 2, i: 2, c: 1}. What is prob of picking 1 q, 1 i, 1 w, and 1 c?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 168. Is o\/(30\/(-4)) - 214\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100540 (base 6) to base 13.\nAnswer: 382b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 take away -1458.58?\nAnswer: 1455.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 - 22*p\/9 + 20\/9 = 0. Calculate p.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -157289.6991 and 0.15?\nAnswer: 157289.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5735735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 231\/9 + (-4)\/6. Let j = -36 + v. Let s = 11 + j. Is -2 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6384600454.\nAnswer: 2, 3192300227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (261\/1479 + 145\/(-51))*14\/(-36) and 73\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393578 and 234472.\nAnswer: 11020184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1. Let v be ((-10)\/(-5)*-2)\/(2\/(-8)). Let c(a) = -3*a + 46. Let h be c(v). Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3676772 and 151\/5013780.\nAnswer: 55151580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10.48. Let l = i + 0.08. Which is the biggest value? (a) -3 (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)*(-76)\/(-19) - -145. Let m = j - 141. Factor 0 - 2\/9*b**5 + 4\/9*b**2 - 4\/9*b**4 + m*b**3 + 2\/9*b.\nAnswer: -2*b*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7412135 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128 = -184*x + 317*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -973 - -972.8. Which is the smallest value? (a) 0.5 (b) 31 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**2 - 2*t - 2. Let l be (2 + -6)*2\/8. Let n be f(l). Suppose -14*h + 36 = -n*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436646 (base 7) to base 3.\nAnswer: 10220101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v - 2*v - 3*v)*(0 + 3 - 5)*(14*v**3 + 18*v**2 - 18*v**2) to r*v**3 + o*v**4 + c*v + p*v**2 + t and give o.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 505661 and 1203.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 2484?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + q = -6*r + 54, 3*r = 4*q + 37. Suppose k = -1 + r. Solve -3*v = b + 2, v - k = 5*b + 4*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 69. Let u = x - -73. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -117*y**4\/2 - y**3 - 774*y + 218. What is the first derivative of i(d) wrt d?\nAnswer: -702*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -48 + (-8 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/234 and -97\/11466.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1102*k**3*o - k**3 + 8*k**2*o - 8*k**2 - 22*k*o - 32*k - 1206 wrt o.\nAnswer: 1102*k**3 + 8*k**2 - 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:39 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308642926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Suppose 5 = 2*t - 17. Let a(q) = 12*q - 6*q - 4*q + t*q. Calculate a(r(h)).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1696569355?\nAnswer: -1696569360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -94. Suppose d - 4*q - 3 = 0, 5*d - q - j = 8. Sort 0, -1, d in descending order.\nAnswer: d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 - m + 2. Let y(u) = -u - 2. Let b be y(-4). Let t be r(b). Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/12 + 5*c**3\/3 - 3*c. Let d be w(9). Does 2 divide d - 5\/(10\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*o = -7*c - 15, -2*c = o + 3. Let q(l) be the first derivative of -1\/6*l**2 - 4\/9*l**3 + c*l - 1\/3*l**4 + 2. Factor q(t).\nAnswer: -t*(2*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (101234\/70 + 7)*60\/9 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -w - 2*w - 4*a, 4*a = 4*w - 44. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3611*r + 14450. What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2. Let d be y(-2). Let b be (-24)\/d*10\/(-4). Suppose b*u + 2*u - 120 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -56*f - 4522. What is v(-81)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 8*n - 3. Suppose -23*c - 71 = -554. What is the remainder when c is divided by d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-635288)\/(-26) + ((-198)\/(-165) - (-528)\/(-390))?\nAnswer: 2, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 103. Let l = f - -63. Calculate the smallest common multiple of l and 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 4*m**2 + 3*m**2 + 3*m**2 + (2 - 2 + 1)*(-m**5 + 0*m**5 - 5*m**5) + 0*m**5 - m**5 + 2*m**5 - m**5 - 3*m**5 + 6*m**5.\nAnswer: -4*m**5 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1) + (-13 - -1). Let o(t) = 2*t**2 + 5. Let v(p) = -2*p**2 - 5*p + 14. Let a(z) = -o(z) + v(z). Let k be a(s). Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000238526 rounded to seven dps?\nAnswer: -0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.72 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**3 + 9*f**3 - 12*f**3)*(3 - 3 + 3).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -953 - -954. What is the nearest to n in -2, 0.1, -2\/5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4752 divided by -297?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 227*f - 205*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -185.84. Let b = d - -16.56. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0\/k)**(-4)*k**(-2\/5)\/k*k*k**6)\/((k*k\/(k\/(k\/k**(-2)))*k)**(-41\/4)\/(k**2)**(-13)) assuming k is positive.\nAnswer: k**(617\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7087193.\nAnswer: 67, 139, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z, 9746 = 12*p - 7*p + 2*z. Suppose -u - u + 5*c = -748, -7*c = 5*u - p. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - -6. Let r = -6.2 + 4. Let q = -0.8 + r. What is the third smallest value in w, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose c - f = 5*h - 27, 4*c + 40 = 5*h. Suppose b = -h*b + 10. Let x(n) = 2*n**2 - n. Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**9\/393120 - o**8\/43680 - 7*o**5\/30 + 6*o**2. Let a(v) be the third derivative of f(v). Solve a(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2, u: 1, w: 1, f: 1, k: 1}. Give prob of sequence lwl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -452?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjmjr. What is prob of sequence mrr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315587.\nAnswer: 401, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 5 = -3*f + 88. What is the remainder when 3316 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2499.43 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*d*g + 2*d*n - 20720*d - 8*g*n - 144*g - 2006*n wrt d.\nAnswer: -37*g + 2*n - 20720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 5 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y**2 + 1. Let w be z(-1). Let p be -1 - (-3 - w\/(-2)). Solve 0*m**2 + m**4 + 2*m**2 - 8*m**3 - 3*m**4 + p*m**5 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28323230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -27, 7889*a - 7909*a - 4*b - 36 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 37 + 0)*(-3*z + 0*z + z).\nAnswer: 232*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**7*u\/((u**(1\/3)\/u)\/u)*(u**(-1\/4)\/u)**15 assuming u is positive.\nAnswer: u**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -6) + (-10 - -3). Put 0, 19, -3, r in decreasing order.\nAnswer: 19, r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11954 by 20.\nAnswer: 5977\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from xqdqqdxdqqqqd.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 586411.8 grams in kilograms?\nAnswer: 586.4118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3122404, -3122408, -3122414, -3122422, -3122432?\n\"Answer: -m**2 - m - 3122402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -338*r**2 + r - 2.\nAnswer: -676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 6*b**2 + b**2 + (23 - 24 - 5*b + 2*b)*(-2*b + 0*b + 4*b).\nAnswer: -9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212211202020 (base 3) to base 2.\nAnswer: -11110100010100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 798165651 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -401, -527, -653, -779, -905?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 353 in descending order.\nAnswer: 353, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)*1*-4 - -4. Solve x*p + 5*g - 26 = -p, -3*p + g - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, v: 3, g: 2, t: 8, f: 2, j: 1}. What is prob of sequence fgn?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*h**3*t + 23*h**2*t + h - 395*t - 3 wrt h.\nAnswer: 396*h*t + 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 22. Which is the nearest to z? (a) -0.5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) -27 (c) 5 (d) 4.4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14509 - 110228?\nAnswer: -110228.14509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*w**2 - 4*c**2 - 80*c*w**2 - c*w + 2697*w**2 with respect to c.\nAnswer: -2*c*w**2 - 8*c - 80*w**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/180 + r**5\/40 - r**3\/2 + 2*r. Let d(f) be the second derivative of l(f). Find the second derivative of d(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40902 * -1632\nAnswer: 66752064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87034007.\nAnswer: 61, 683, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 smaller than -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -37*v**7\/6 - 902*v**3\/3 - 2169*v**2. What is the first derivative of l(u) wrt u?\nAnswer: -5180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-6))\/((-4)\/15*(-555)\/222).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(300) + 2 + -1*1*sqrt(300))*-4*-1*-1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 65 = 4*i, -3*i - r + 0*r = -50. Suppose -9 = 5*x - 2*x. What is the remainder when -2*1 + 36 + x is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let a(u) = u**2 + u. Let y(s) = 2*s**3 - s**2 - s. Let o(l) = g*a(l) + y(l). Find c such that o(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = f - 42, -5*c + f - 195 = -f. Let q = -35 - c. Suppose 2*s = q*r + 3*r + 24, 0 = 3*s + 2*r - 36. Solve 0 = -2*p + 6*p + s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37659676?\nAnswer: 2, 9414919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -1731, -6807, -16923, -33759, -58995, -94311, -141387?\n\"Answer: -280*g**3 + 244*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2131 + -2?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 24\/17, -11, -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 2*w**2. Let a(v) = -2*v**3 - 5*v**2. Suppose -7*s = 18 + 17. What is s*c(t) - 2*a(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - -37372) + (1 - -5). List the prime factors of s\/77 + (-2 - (-30)\/21).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*y**16*y))**(2\/53)*(y**(-5\/9)*y)\/(y**22\/y))**(-34) assuming y is positive.\nAnswer: y**(343774\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 42*s - 180 = 0. Let i = -186 - s. Let o(a) = a**3 + 7*a**2 + 6*a + 8. Give o(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9936 = x + 4*v + 9925, -4*x - 2 = 4*v + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -28, 1, -9891, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 12*v**2 - 9*v - 19. Let h be n(11). Is 7 a factor of (0 - h)\/(12\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 764 + 2*n**2 + 764.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52675173 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*g**4 - 1 - 4*g - 9 + 10 wrt g?\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 210 + 189 - 138 + 72 + 8*p - p in the form n*p + m and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 6*p**2 - 4*p + 1. Let i be (6 - 2) + -7*1. What is k(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735888.5mg in nanograms?\nAnswer: 735888500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.6727082 to 0 decimal places.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 139. Let k be 1*a\/5*(-25)\/10. Let u(n) = -27*n**3 - 2*n**2 + n. Calculate u(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*4\/8)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*p - 2473*p + 91946 = -24698 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1053\/17 + 45872\/765. Find the common denominator of o and -17\/48.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 17*i + 81 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 68*j**3 - 176*j**2 + 128*j - 24. Let l(g) = -14*g**3 + 36*g**2 - 26*g + 5. Let y(t) = -5*h(t) - 24*l(t). Suppose y(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/10 - 312529*q**3 + 488371879205*q**2\/2 = 0. What is q?\nAnswer: 0, 1562645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/7 + 3\/((-3)\/(-1)). Sort 20, 6, b in decreasing order.\nAnswer: 20, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 281?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 67\/(-18) + 2 - (-18)\/81. Which is the nearest to 2\/9? (a) -3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448\/24*(-3)\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 48 = 24. What is the smallest common multiple of g and 276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 183*9\/(-189) + 1 - (-16)\/2. Let w = 471\/7 - 67. Solve 2\/7*y**2 + 0 - g*y**4 - w*y**3 + 2\/7*y = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:04 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - 3*p**4 + 3*p**4)*(-2*p - p + p) - 579*p**5 + 1156*p**5 + 774 - 579*p**5 - p**5 + 3*p**5 - p**5.\nAnswer: 3*p**5 + 774","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2168 and 542?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -558217.96 times 1?\nAnswer: -558217.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 11*t + 15. What is the remainder when 40 is divided by z(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/2 + 203*c**2\/2 - 9991*c\/2 - 31827\/2 = 0.\nAnswer: -3, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 635 - 631. Let b = 20 + -20. Is b greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -212 (b) -9 (c) 1 (d) -1\/8 (e) -119 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/39 and (-428)\/(-52) + -5 + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-4))\/((-22)\/352*-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12983 is divided by ((-3)\/(-12)*-1)\/(21 + (-866403)\/41256).\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242341171*l**2 + 45264278 wrt l.\nAnswer: -484682342*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26e7a7 (base 16) in base 12?\nAnswer: a2b607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 - 0.1. Let f = 92.8 - 93. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.038.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 7431\/180 + 2\/(-8).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, r: 1, n: 5, u: 2, l: 1}. What is prob of sequence urnz?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -25.043. Round y to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38280 + 268?\nAnswer: 38528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -1.62, 5?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by -2888.\nAnswer: 13\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(1\/9) assuming i is positive.\nAnswer: i**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, 790, -17, 0?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 14. What is n(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Let x be (-164)\/(-8) - q\/4. Solve x = 5*f - 4*c, -f + 4*c + 26 = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 6*g - 4. Let f be r(4). Solve -l - f*m + 11 = 0, -4*l - l = -m - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3302100 and 935595?\nAnswer: 56135700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiaiia. Give prob of picking 3 i.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26751*i**2 - 26704*i**2 + 80189*i**2 - 26751*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*a = 40, -4*w + 3*a + 49 = 13. Solve -2 = -b + y, 4*b - w = 5*y - 0*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -401716366\nAnswer: -241029819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 3*q + 2. Let d be -2 + (-1 - -3) + -3. Let u be t(d). Calculate the greatest common factor of 50 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19438 > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321151799?\nAnswer: 47, 2027, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 + 5*o**2 - 6*o**2 + 7 - 8*o. Let l be t(-4). What is the highest common factor of l and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -206, -200, -194, -188, -182?\n\"Answer: 6*f - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/4, -2\/13, -4, -128\/7 in descending order.\nAnswer: 15, 1\/4, -2\/13, -4, -128\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*u - 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428605633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 23*j**2 + 132*j - 23. Is c(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69564019 minus 0.2?\nAnswer: -69564019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or 499?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.38 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4158 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 + c**3 - 20*c - 106*c**2 + 101*c**2)*(-c + 3*c + 15*c) in the form f*c**3 + y*c**4 + l*c + t + z*c**2 and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 98906221 + 4\nAnswer: 98906225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -179 - (-86 + -21)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 7\/((-56)\/(-536)). Let m = i + 67. Let t(w) = 6*w**3 - w + 2. What is t(m)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3209 or 0.36838?\nAnswer: 3209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) -10 (b) 0.1 (c) -3\/5 (d) -1084 (e) 0.04 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3762*q**3 + 2594*q**3 + 1178*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4133.\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 12:09 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 12 = -4*w - 3*q, -4*w - q + 40 = 0. Suppose w*u = 2*u + 9736. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 906757440 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 28. Let q be (-4)\/((-112)\/92) - 6\/i. Let c be 4 - (4 - q - 1). What is the greatest common factor of c and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19 and 0.03571151 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51074537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 149 + 516 + 2*f.\nAnswer: 2*f + 622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-2)*k)\/k)\/k)**34\/(k**(4\/11)\/(k**(-6)*k)))**(2\/11) assuming k is positive.\nAnswer: k**(-2362\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v - p, 4*v + 26*p + 146 = 220 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.47201 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9273 to 2 dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 3*g - 21 = 0, 2*d - 4*g + 16 = 0. Suppose 2*v = 4*v - d. Put 2, v, -5 in increasing order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 0. Suppose c + l = 15. Suppose -c = -2*g + 1. What is the least common multiple of g and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1925*-0.6\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 u when four letters picked without replacement from {u: 12, b: 5, r: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/104)\/(-23)*(32\/(-84))\/(48\/(-56))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4 = -3*z - 8, 6*z - 26 = -4*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -229 (b) -1 (c) 2\/7 (d) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i - 4*i + i)*((-2 + 0 + 0)*(3 - 3 - 1) - 2 - 3 + 4 + (-3 + 3 - 2)*(9 + 10 - 8)).\nAnswer: 84*i + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/21 + 2*m\/7 + 8\/21.\nAnswer: -2*(m - 4)*(m + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-12012)*-21 + -5*(-45)\/(-33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/2 of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 110040*r + 1751. Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3, 5, 4, -16 in increasing order.\nAnswer: -16, 0, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -68*f. Let w be (0 + 1)*-6 + 4. What are the prime factors of d(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/5))\/b**(-24))**(3\/8) assuming b is positive.\nAnswer: b**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 640, 1408, 2482, 3862, 5548, 7540?\nAnswer: 9838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5 + (-418)\/(-95). Suppose -x*y + 49 + 95 = k, -4*k - y + 671 = 0. Calculate the remainder when k is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7733*o**3 - 3*o**2 - 6*o - 1296. Let t(l) = 3*l**3 - l**2 - 2*l - 3. Let g(c) = -j(c) + 3*t(c). Find the first derivative of g(n) wrt n.\nAnswer: -23172*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -17.\nAnswer: -477\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 959*d - 63036. What is p(-92)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20528, -40994, -61464, -81938?\n\"Answer: -2*p**2 - 20460*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -1\/20*v**5 + 0*v**3 + 0 - 5\/2*v**2 - 3*v + 1\/2*v**4. Calculate k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((25 - 7 - 2) + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/5 + x**2\/5 + x + 3\/5 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9392.4 + -9392. Sort -7.5, u, -0.2, -23.\nAnswer: -23, -7.5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123490149 by 1.\nAnswer: -123490149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1395 + 4245 = 190*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1216444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 (base 13) in base 12?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49\/4 of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(0 - 0 - 0). Suppose 4*z = -m + 6, -5*z - 4*m + 3 - 1 = x. Suppose y - 142 = -3*y + z*k, 2*y = 3*k + 65. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**4\/24 + 3*u**2. Let g(f) = 2*f. Give m(g(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48045 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 = -5*l, 2*l + 5*t = -0 - 5. Suppose -3*j - j = u - 84, -294 = -4*u + l*j. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 27*l - 41. Let s(v) = -v**2 + 9*v + 14. Let o(z) = 6*k(z) + 17*s(z). Let x be o(10). Let q = x - 0. Is q smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 4*z + 4. Let t be q(3). What is the units digit of t\/(2\/60) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 2*t = 8*f + 12, 0 = 6*t + 30. Let n = 0 + 7. Solve -6*b + f*d = -b - 8, -3*b - d = -n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -1.3. Let n be (3\/(-2))\/((-42)\/112). Which is the second biggest value? (a) 0.2 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y - 8. Calculate q(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3317153*j - 3*j**2 - 3317153*j + 2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 51766.02.\nAnswer: 51779.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -3 (c) -0.09 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/6))\/z)\/(((z**(-2\/3)\/z*z*z)\/z)\/z))**(1\/9) assuming z is positive.\nAnswer: z**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 3*f**3 + 0*f**3)*(-1694*f + 4164*f + 2679*f + (2 + 1 - 2)*(-3*f + 3*f + 2*f)).\nAnswer: 10302*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148530 and 3327072?\nAnswer: 16635360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 - 2. Let x = o - -0.12. Let p be (2\/7)\/(45\/(-35)). Put x, -2, p in increasing order.\nAnswer: -2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 0*n**2 + n**2. Let u(s) = 2*s - 7. Let a be u(5). Let c(p) = -a + 2*p - 5*p + 3. Give c(x(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8*o + 255. Suppose -5*c + 15 + o = 0. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0 + 104*n + 2*n**2 + 5\/8*n**4 + 0*n**3. Let j(g) = 11*g. What is v(j(s))?\nAnswer: 165*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + -2 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -155 and 1\/385518 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35146.\nAnswer: 2, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 3. Let f be s(5). Suppose 0 = 3*q - f - 8. Let h = -0.0093 + -0.0007. Which is the closest to h? (a) q (b) -2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 + 507 - 1048 = 148*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 - (40 - 40)\/(-41)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 152999 - 3?\nAnswer: 152996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.86551 rounded to the nearest integer?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 38. What is the highest common divisor of a and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31516 - 94547\/3. Determine v, given that 0*v + 0 + 4\/3*v**2 - v**4 + 0*v**3 + f*v**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:27 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38 - -0.3. Let g = 0.02 - l. Let x = 0.4 + g. What is x rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(22)\/sqrt(2)*-1 + ((sqrt(11) - 2*sqrt(176))*-6)**2.\nAnswer: -6*sqrt(11) + 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-1*-3)**2 + sqrt(162) + sqrt(162) + (-1*sqrt(162) + -3 + sqrt(162))**2 + (sqrt(162) + sqrt(162)*1 + sqrt(162))**2*-2*-2.\nAnswer: 18*sqrt(2) + 7299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0 + 18\/7*p + 1\/7*p**5 + 11\/7*p**4 + 45\/7*p**2 + 37\/7*p**3 = 0.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2195 - 1101 + 141*y - 1102)*(-4 + 1 + 1) as i*y + m and give i.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14244*d**3 - 1257*d**2 + 13231067*d wrt d.\nAnswer: 85464*d - 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -3*t. Suppose 10*q = t*q + 30. Let v be -5*(3 - q)\/18. Is 0 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94882 - 199824 + 104942 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}