diff --git "a/data/dm_maths/full_data_1/158_11255.jsonl" "b/data/dm_maths/full_data_1/158_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/158_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 108\/(-30)*((-100)\/6)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17800 and 393380.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 417, 0.4, 0, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**6 + w**2 - 2*w + 2. Let m(z) = z**2 - z + 1. Suppose f - 3 = -2*f. Let u(t) = f*b(t) - 2*m(t). Find the third derivative of u(h) wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/4 - 237*r**3\/4 + 4263*r**2 - 58048*r - 304128 = 0. What is r?\nAnswer: -297, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/2)\/(0 + 1). Suppose -2*t + 1 = b. Let k(w) = 435*w + 3912. Let q be k(-9). Sort q, 0, t in descending order.\nAnswer: 0, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*n + 9844 - 1355 = 315*n + 129 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**4 - 159*y**3 + 6*y**2 + 2*y - 7. Let c(j) = j**4 - j**3 + j**2 + j - 1. Let a(g) = -b(g) + 2*c(g). Find the third derivative of a(d) wrt d.\nAnswer: 24*d + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*2550\/765\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-75) - (1740\/1160)\/(3\/(-2)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c + 7\/3*c**4 + 5*c**3 + 13\/3*c**2 + 1\/3*c**5 + 0.\nAnswer: c*(c + 1)**3*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k + 2. Calculate x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.05 (b) 0 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v = -25*v - 44. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 13*g - 12. Let f = -4662 - -4649. Determine n(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -40. Let p = -3 - -6. What is the greatest common divisor of l and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 95. Let j = f - 88. Factor j*u**5 - 20*u**2 + 5*u + 6*u**3 - 13*u - 18*u**3 + 3*u**4 + u**4.\nAnswer: 4*u*(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**7\/280 + q**6\/2 - 30*q**5 + 1000*q**4 - 67*q**3\/2 + 3*q**2 + 2. Let x(m) be the first derivative of n(m). Factor x(i).\nAnswer: -3*(i - 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let d = -7.4 + 0.4. Let q = d - -6.7. What is the biggest value in t, q, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111289985*p**2 + 3*p - 183413837 wrt p?\nAnswer: 222579970*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4027 + -3935. Calculate the greatest common factor of 3519 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.0176 + 45.0176. What is the closest to 2 in 0, t, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 458, -5, -3.\nAnswer: -5, -3, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c - 8. Let o(u) = 14*u + 8. Give -4*o(p) - 5*v(p).\nAnswer: 9*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4765180 is divided by 4765110.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:34 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 46691361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let h(a) = -13 - 19 - 3 + 7*a**2. Let x(g) = g**2 - 6. Let z(l) = 6*h(l) - 35*x(l). Give q(z(r)).\nAnswer: 98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/53))\/(r\/(r\/r**(23\/2)*r)))\/(r*r**(-10)*r)**(-5) assuming r is positive.\nAnswer: r**(-5251\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6161\/3966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2266 - -2261. What is the fourth smallest value in g, 1, -0.3, 0.23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x = 31*x + 2424. Let z = 315 - x. Solve -4*m = -q + z + 8, -12 = -2*m - 5*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221309294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274, -547, -820, -1093, -1366?\n\"Answer: -273*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Let p(u) = -32*u**2 + 7*u - 79. Let q(s) = -10*s**2 + 2*s - 23. Let r(d) = -6*p(d) + 21*q(d). Give i(r(m)).\nAnswer: 972*m**4 + 972*m**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - -0.1431.\nAnswer: 1.4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8450 and 7600?\nAnswer: 1284400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {i: 2, h: 1, o: 1, e: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1467689 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/180 and -92\/2205.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, 1 h, and 1 i when four letters picked without replacement from {y: 1, e: 2, q: 2, o: 2, i: 1, h: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Let c(f) = 2*f**2 - f - 2. Let w be c(u). Solve 8 = 2*t + 4*x - 10, 3*x = w*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1484588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:38 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(4 + sqrt(243) + 1 + -3 + sqrt(243)*-1))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37994824?\nAnswer: 2, 7, 678479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*k - 76, 0 = a - 4*a + 3*k + 120. Let d = a + -38. Sort -1, 3, d in descending order.\nAnswer: 3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3264 and 42474432?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-1\/8)*b*b*b)*b)\/b**(7\/3))\/((b\/b**(-1\/4))\/b)**32)**(-22) assuming b is positive.\nAnswer: b**(2959\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = -16*t - 284*v + 279*v + 20, 4*v - 2 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/5, -2\/11, 4\/21, -0.2 in decreasing order.\nAnswer: 4\/5, 0.3, 4\/21, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 175933370, 351866738, 527800104, 703733468, 879666830, 1055600190?\n\"Answer: -a**2 + 175933371*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t + 2. Let i be x(-5). What is the units digit of 18\/8 + 9\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050)*6)\/(sqrt(6) - (sqrt(18) + sqrt(18)*-1)\/sqrt(3)).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 + -5) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -251, -366, -469, -554, -615, -646, -641?\n\"Answer: k**3 - 3*k**2 - 119*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 315\/36 + 2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a + -63?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 5, 1.3, 3, 4.2632?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x + 1\/16*x**4 + 3\/2*x**2 - 93 - 13\/12*x**3. Factor d(p).\nAnswer: p*(p - 12)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 + 147. Suppose j - 6 = -x, 2*j - 3*x + 0*x + 3 = 0. What is the second derivative of -u**s + 2*u**2 - j*u**2 - u - u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/24)\/((-9)\/(-48)). Suppose -5 = 3*z + 19. Let m be z\/(-2) - (2 - 0). Solve -k*p + m*d = 12, -3*p = -0*p + d + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25320030 (base 9) in base 7?\nAnswer: -210340533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-820)\/6970 - (0 - (-699)\/(-17)) - 12\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109862359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 12*l - 4. Let y = l + 0. Let a(i) = 51*i - 2. Let f be a(y). What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9953788ml to litres.\nAnswer: 0.0009953788","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32805 is divided by 3660.\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:30 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 19. Let r = 486.08 + -486. Suppose 15*a = 20*a - 20. What is the closest to 0 in v, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3858 is divided by 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 56902030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27296752 divided by 27296752?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-1 - 3) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 4)\/(1\/(-10)). Suppose -a = p - 2*p. What is the lowest common multiple of p and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let g(w) = 75*w - 1. Determine g(i) + 5*h(i).\nAnswer: 70*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517 plus -1243?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - 7) + 21 + 1 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63385 and 18?\nAnswer: 63403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11477 + 17612. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 3570769.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 3. Suppose -h*v + 0*v + 13 = -5*w, 4*v - 2*w = 18. Calculate the remainder when 28 is divided by 1\/4 - (-39)\/v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 10, -2*h = 545*b - 523*b + 16 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 - 357*q**2 - 203928*q - 14169168 = 0. What is q?\nAnswer: -116, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 123629.838 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -40*o + 2. Let p be l(-1). Let f = p - 15. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003358 to six dps.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*r**4 - 54*r**3 - 442883*r**2 wrt r.\nAnswer: 6696*r - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyymyyyyyyymyyyymmy. What is prob of sequence mym?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhaa. Give prob of picking 1 j and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 9.21.\nAnswer: 3.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -57\/2. Let f = -4 - -15. Let g = 14 - f. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674089730?\nAnswer: 2, 5, 13, 307, 67003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-6))\/(3\/(-18)). Suppose 2*n - 5*o - 7 + 23 = 0, -n + o = j. Let f = 0 - 0. Sort n, f, 2 in increasing order.\nAnswer: n, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -17*q + 69. Let j be v(16). Let c = -199 - j. Solve -c*p + 16 = 4*l, 2 = -2*p - 3*l + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 12 = 5*f - 5*z, -4*f = 3*z - 7. Solve 0 = w + f - 2, 4*q = w - 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11338 - -6940. What are the prime factors of m?\nAnswer: 2, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4949841 and 14468766.\nAnswer: 188093958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 12*g - 133. What is the remainder when r(-12) is divided by 87?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - s - 0, 6 = 3*y + 2*s. Let j = -1.34 - -2.34. What is the third biggest value in y, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13 = -3. Is (12 + d)*9\/2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -83, -137, -197?\n\"Answer: -3*y**2 - 39*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060147 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, z: 1}. Give prob of sequence zx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**7\/70 + 9*v**6\/8 - 137*v**5\/20 + 232*v**2. Find the third derivative of j(p) wrt p.\nAnswer: -72*p + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13419a5 - -7?\nAnswer: 13419b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**2 - 187*c + 56. Let m be u(-27). Solve -2*j + 5*y = 3*y + 18, -m*j + 3*y - 23 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113\/(-9944)*(-1338 + 40)\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*k**3 + 1571*k**3 - 384*k**3 - 399*k**3 - 397*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3\/3 - m. Let t(n) = 3*n - 5*n**2 - 35649 + 35649 - n**2 + 3*n**2. Calculate r(t(b)).\nAnswer: -6*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d + 285*d - 63*d to the form y*d + w and give y.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.616697l in millilitres?\nAnswer: 7616.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7647828nm to kilometers.\nAnswer: 0.0000000000007647828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-12))\/17 + 27\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9519\/(-1503)*(-2)\/(-57)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 518\/9155 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (4 - 7 - 123144) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319455, 319344, 319159, 318900, 318567, 318160?\nAnswer: 317679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 441 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 - 9*g - 6. Suppose 5*z - 5*h = -45, 5*z - 2*h + 3*h = -39. Let l be y(z). Find the common denominator of -71\/4 and (l\/5)\/(48\/1160).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/25 + p**4\/20 + p**3\/15 - p**2\/10 + 7. Let i(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*y**4 - 112157*q*y**3 + 17*q*y**2 + 229*q*y + 3*q - 3*y**4 + y**2 - 132*y - 1 wrt y.\nAnswer: -48*q*y - 672942*q - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d + 4. Let z = d - 2. Let i(v) = v**2 - 3*v**2 + z*v**2. Let t(h) = 2*h. Determine i(t(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -180. Let c = -37 + r. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 38*i + 74*i - 37*i to s*i + q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p - 2. Let h be t(2). Suppose w + 66 = h*w. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 0. Let x = 67 + -30. Suppose x = -0*t + 3*t + 4*j, 11 = t + j. What is the greatest common divisor of w and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -42*a**2 + a + 1. Let i(h) = -h**2 + h + 1. Let x(u) = d(u) - i(u). Let z(c) = 4 - 2 - c - 2. What is z(x(y))?\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 6. Let i be v(21). Suppose -3*y + o = -0*y + 68, 3*y + 4*o + 73 = 0. Let f = i + y. Solve -15 = b - f*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 12. Let a(i) = 15*i - 95. Give 6*a(s) + 50*z(s).\nAnswer: 40*s + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1285889431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193.022 - -0.022. Let t = -193.0087 - u. What is t rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-394 + -5)\/(0 - 1). What is the highest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 33. Let m be h(-16). Suppose 5*v = 3 + m. Suppose -24 = v*d - 8. Put d, 0, 5 in descending order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + -2)\/2)\/(31 + (59 - 85)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -578?\nAnswer: 5\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/2)*g**(-3\/8)*g**(2\/11)\/(g*(g\/(g\/(g\/(g*g**(5\/4)\/g*g*g))))\/g)*(g*g\/(g\/g**1)*g\/(g\/g**(-2\/7)))**(1\/3) assuming g is positive.\nAnswer: g**(695\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/1282784031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 + -109. Suppose p*x - 5*x = -3*w - 77, -3*x = -2*w - 245. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8)\/((-5)\/32))\/(22\/(-110))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqwgwqgggeg. Give prob of picking 1 q, 1 w, and 2 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 302841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h - 2*h - 4*h)*(-3*h + h - 5*h) + 0 - 2 + 1 + 4*h**2 + 7*h**2 + h**2 + 0*h**2 as s*h + g + c*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/7659?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9286 + 63809. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9462?\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(6))\/sqrt(4))\/(sqrt(100) + -2*sqrt(100)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) - 1*2\/(-6). Let v = -7 - -7. Let w = 1 + v. Which is the closest to 2\/3? (a) -3\/5 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010918 rounded to five decimal places?\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:38 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-45))\/((-207)\/138))\/(80\/36)\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 + 24*j + 29*j - 20*j - 236 + 475.\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -186. Let o = j + 36. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -7*l - 200. Suppose 5*c = -5*p + 40, 2*p + 29 = 5*c - l. What is the greatest common divisor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699380942 to the nearest integer?\nAnswer: 26446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6548841247 to the nearest integer?\nAnswer: 80925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:55 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let z(u) = -15*u - 16. Let c(q) = 8*q + 9. Let m(v) = 11*c(v) + 6*z(v). Let x be m(y). Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1494007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*h**3*r**2 - 366*h**3*r - 8*h**3 + 11*h*r**2 + 26535*h + 5 wrt r.\nAnswer: 86*h**3*r - 366*h**3 + 22*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inii when four letters picked without replacement from {n: 3, i: 5, q: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5 - 3640*d**4 + 388720*d**3 + 2433760*d**2 + 3283584*d = 0.\nAnswer: -1006, -4, -2, 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -16228235.\nAnswer: -16228235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96628?\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7377 to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5670)\/(-56))\/45)\/(1\/(16\/(-6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15590, -1, 3.\nAnswer: -15590, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**10\/15120 - o**8\/3360 - 5*o**4\/24 + 5*o**2. Let t(d) be the second derivative of a(d). Factor t(h).\nAnswer: 2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 3*g**3 + 2*g**3 - g**2)*(19*g - 20 + 20).\nAnswer: -19*g**4 - 19*g**3 - 95*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28212.\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 4005?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*b + 589*b - 57*b**3 + 187*b**3 - 290*b.\nAnswer: 130*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -472 - -467. Suppose 4*r - 1 = 11. Sort r, -4, w in descending order.\nAnswer: r, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:15 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46260373, -46260371, -46260369, -46260367, -46260365?\n\"Answer: 2*x - 46260375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/264 and 59\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257 and 1134932303?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 77631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1013*y + 1015*y - 18*y**3 - 14 + 36.\nAnswer: -18*y**3 + 2*y + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 4.97. Let t = w + 0. Let c = t + -5.00001. What is c rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*z = -65*z + 589 - 85. Solve 0 = 2*y - z*w - 21, -11*w = 5*y - 16*w - 40 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1420, -1.7, -1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let g be u(4). Suppose -10 = -5*d - 5*n, g*n + 2 = -2*d - n. Let j(l) = -l**3 + 5*l**2 - 2*l + 2. Determine j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -210. What are the prime factors of u?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494725 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 8498\nAnswer: 263438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:37 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 133\/2*(-20)\/(-2). Let u be (-5)\/(-4)*7\/h. Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/9*2 - 40\/18. Let r be (-7)\/((-14)\/(-4)) - o. Suppose 4*i - 200 = 4*k, r*k = 2*i - 3*k - 99. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1678034, 1678032, 1678030, 1678028?\n\"Answer: -2*o + 1678036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -196.5. Let s = -56.9 + h. Let z = 103 - s. Sort -3, -36, z in ascending order.\nAnswer: -36, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 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 third biggest value in -130, 6\/13, -0.4, -4\/3, 19, 1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058105 is divided by 75576.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 262583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-36)*3 - (-39)\/12. Suppose v*k + 11 = b, 0*b - 23 = 4*k - 3*b. Sort k, -0.5, -16 in increasing order.\nAnswer: -16, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*r - 125*r - 4 + 144 = 0. Which is the closest to -2? (a) -0.4 (b) r (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**3 - 34*b**2 - 691*b wrt b?\nAnswer: 54*b - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18872875 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*w - 166*w = -24. Differentiate -w + 19*o**2 + 28 + 20 - 6 with respect to o.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2280425.3 - -2280331.00547. Let k = g - -94.3. What is k rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 3*q = 51, 0 = -u + 2*q + 6. Solve 6*f - u = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.77 * 2301\nAnswer: -1771.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -408, 0, -0.1, 5, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * -494633\nAnswer: 158282.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 + 3*f + 4. Let v be i(-3). Let t = 1 - 1.7. Let r = t - -0.6. Which is the nearest to r? (a) 5 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -1. Let r = 58 + -34. Suppose 0 = 2*p - r + 8. What is the least common multiple of w and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21933 times -16915?\nAnswer: 370996695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151470*y - 125933 + 125933.\nAnswer: 151470*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -174.45 and -0.45.\nAnswer: 78.5025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 2}. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*2*(sqrt(171) + 5 + sqrt(171) + 2)*1)**2.\nAnswer: 50400*sqrt(19) + 439800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. Let k(c) = 4*c**2 + c**2 - 8*c**s. Let j(n) be the third derivative of -n**5\/30 + n**2. What is j(k(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 20*u**2 - 48*u + 166. Give y(-8).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 175*s**2 - 1075*s - 1945. Give x(181).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 8\/(-15*2\/(-6))*10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:43 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515577 is divided by 314?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let r(n) = -n**3 - n**2 - n - 3. Let d be r(0). Let f(i) be the first derivative of i**2 + 4*i + 1. Give d*m(b) + f(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 9*p**2 + 12*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(7 - 7 + b) + 2*b + 1 - 1 + 2*b - 2*b + b - 1250*b + 625*b + 626*b - 153.\nAnswer: 5*b - 153","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 736260124 equal to 736260125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1422 - 6443 + 1245 - 7610 + 1067 - 8429)*(-1 + 5*s + 1) to the form g + z*s and give z.\nAnswer: -93740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7478\/3 - 2514. Suppose 5*p = -10, -5*t - 5*p = -4 + 124. Let n = f - t. What is the biggest value in -0.5, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 879 and 48638?\nAnswer: 145914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65270171*j**2 - 228373170*j.\nAnswer: -130540342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 2, c: 2, p: 2}. Give prob of picking 2 j and 2 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.41985 less than 0.26204?\nAnswer: -30.15781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 802637 and 29344?\nAnswer: 179790688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h + 69 - 122 + 65. Let q be p(-2). Let f be q + -2 + 1 + 0. Is f < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15699.\nAnswer: 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.11, -1, -41, 4\/7, -4 in ascending order.\nAnswer: -41, -4, -1, 0.11, 4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/60 - 11*q**5\/15 + 121*q**4\/12 - 108*q**2. Factor n(y).\nAnswer: 2*y*(y - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42430 + 31718. What is a rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2913 + 3017. Solve b*w = 92*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.57962 + 1.61962. Let i be ((-1)\/(-4))\/((-6)\/(-4)). Which is the smallest value? (a) -5 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 8*n - 4*n - 40 - 6*n + n**2 + 30 as b + z*n**2 + m*n and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q**2\/4 + 261*q\/4 - 39 = 0 for q.\nAnswer: -13, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8308 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6777 + 6792 - 20329 + 6760 - 16*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-81) + (-86)\/(-3). What is the third derivative of 31*q**4 - 33*q**2 + j*q**4 - 90*q**4 wrt q?\nAnswer: -744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*q + 896, 3*r + 4*q = 4*r - 302. Let x = r + -686. What is the tens digit of x\/(-14) + 22\/77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 25*z - 46. Let t be w(6). Solve 8*x + 0*x = -t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16*w + 624 = 0. Let y be 1\/(-4) - 715\/w. Is 34 a factor of 0 + (-542)\/(-8) - y\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 46*o**2 + 449*o - 23294. What is w(47)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:03 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*c + 28, 3*f + 4*c - 13 = 11. Suppose 9*l - 50 = f*l. What are the prime factors of (-10)\/(-4)*12\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {n: 3, e: 6, t: 2, x: 1, b: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5150, -11302, -18452, -26600, -35746, -45890, -57032?\nAnswer: -69172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5.51, 0.1 in descending order.\nAnswer: 5.51, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31960029 rounded to 4 decimal places?\nAnswer: -1.3196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1869150 - 2221950. Round u to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 0.4, -3, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/9 - 460*b**4\/9 - 8602*b**3\/9 + 50732*b**2\/9 - 85144*b\/9 + 43472\/9 = 0.\nAnswer: -22, 1, 2, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -73 (c) -5 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-9))\/k)\/(k\/k**(-4\/3)) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 4*i**2 - 3*i + 2. Let q(o) = -o**3 - o**2 - 1. Calculate 4*q(l) + s(l).\nAnswer: -3*l**3 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u - 28*u + 1149 - 29*u as n + y*u and give n.\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/5)\/((-889)\/(-4445))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24621536\/3 or -0.1?\nAnswer: -24621536\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26473 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12194 and 402?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/52*(5 - 1) - (-16)\/2. Which is the nearest to -6? (a) 0 (b) 0.18 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 2. Let k(a) = 4*a**3 - a**2 + a. List the prime factors of k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6294*q - 893750. What is h(142)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let h = w + 0.3. Which is the nearest to -2\/7? (a) 2\/11 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 13.334.\nAnswer: 213.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 10. Let h be c(-14). Let y be h\/(-6) - (-530)\/15. Calculate the greatest common factor of y and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 18848?\nAnswer: 282720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (785\/75 - 11) + 9\/45. Sort p, 2.35, 5 in increasing order.\nAnswer: p, 2.35, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 8. Let c be h(5). Suppose 2*i - 1 = 3*o - 5, -2*o + 2*i + 2 = 0. Find s such that 0*s + 0 - 2\/5*s**o - 2\/5*s**c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-2)\/(-36)*264\/(-44)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41379 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 19 = p - 7*w, -5*w + 12 = 2*p. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 268*b**2\/3 + 517*b\/3 + 1330.\nAnswer: (b - 266)*(b - 5)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -128, -419, -980, -1901, -3272?\nAnswer: -5183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -176318467.1 rounded to the nearest one hundred thousand?\nAnswer: -176300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (-2 + 0 + sqrt(539))**2.\nAnswer: -543 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 3. Let g(p) = -4*p - 10. What is -2*g(l) + 7*j(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 18*p**2 + 10*p + 30. List the prime factors of z(18).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 2. Let p be z(-2). Let h be 136\/36 + 4\/18. Suppose h*x = -p*x. Solve -3*n - n + 16 = x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 - 5*i + 4. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13288 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.06489 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let l(h) = 60*h - 166*h**2 + 8*h - 68*h - 33*h**2. Give w(l(m)).\nAnswer: -79202*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*m - 5*m = 30, -5*m = 5*i + 5. Suppose 11*k + i = 15*k. What is the lowest common multiple of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 636.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203987982 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8149, 16322, 24495, 32668?\nAnswer: 40841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152 + 2*i**3 - 2*i + 84*i**2 + 7*i**4 - 7*i**4 - 88*i**2 - 4*i**3 - 5*i**4 to f*i**4 + o*i**3 + j + b*i**2 + x*i and give j.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -817078756, -817078754, -817078750, -817078744, -817078736, -817078726, -817078714?\n\"Answer: j**2 - j - 817078756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121734 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -700 - -1534. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:24 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9 and -48\/19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10\/u)\/(u\/((u**(6\/5)\/u*u)\/u)))\/(u*u\/((u\/(u**(2\/5)\/u))\/u)*u*u**7*u) assuming u is positive.\nAnswer: u**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4 - a + 6 - 6. Let d be h(0). Find the second derivative of -r + d*r**3 - 3*r**3 + 3*r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2674*r**3 - 7*r**2 + 101285*r.\nAnswer: -16044*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-41 - -148 - (-7 + 11)) - -12?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 4)*(-2*m**5 + 2*m**3 - 2*m**3) - 169*m**5 + 76*m**5 + 80*m**5 + 3*m**3.\nAnswer: -3*m**5 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16960*n + 78084.\nAnswer: 16960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 10 + 10. Let k(y) = 11 - 11 + 2*y. What is x(k(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91248534 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6638.25771 - 59.\nAnswer: 6579.25771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 12 + 134. Does 32 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -24.57\nAnswer: -0.9828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29*n. Let d(q) be the first derivative of 0*q + 14 - 1\/2*q**2. Determine d(s(v)).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:05 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, 1, 53, 129, 229, 353?\n\"Answer: 12*y**2 - 8*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.4 + 30. Let m = z - -2. Let n(k) = 7*k - 25. Let y be n(3). Which is the closest to 0? (a) 3 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43314 (base 6) in base 7?\nAnswer: -23230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-464)\/87*6\/(-8). Solve -t*r = 16 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 323 (b) -15\/4 (c) -1\/4 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*2*3\/(-12). Suppose 0 = -3*u - 4*z - z - 5721, 3*z + 9535 = -j*u. Let t = -1168 - u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/2 - 9\/18. Let u(g) = g**2 - 93*g + 1175. Let t be u(78). Solve t*r = 4*r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 66 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -16576538 in increasing order.\nAnswer: -16576538, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/16 + (-16)\/(-10). Which is the closest to q? (a) -1 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562.31um to nanometers.\nAnswer: 562310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:17 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from geegeegeggegg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109796912, 109796910, 109796906, 109796900, 109796892?\n\"Answer: -p**2 + p + 109796912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -14. Let m be 20\/(-6)*i\/(-5). Let u = 17 + m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -1 - (166 - 355 - -128)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 287280*j**5 - 171*j**2 + 144*j + 1.\nAnswer: 17236800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * 32.\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.9. Suppose -2*w = 3*w - 2*t - 20, 0 = w - 5*t - 27. Suppose o - 7 = -2*z, 0 = -5*z + 3 + w. Which is the closest to h? (a) 2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18\/270)\/((-2)\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656 >= 3683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + -46 + 47?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 15 = -5*t. Let v(n) = -97*n + 2. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1319 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-9))\/((-6)\/9). Let x(k) = -5300001*k + 1. Let b be x(d). Round b to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + -1 + 918\/126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123099 divided by -3.\nAnswer: 41033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*t + 416 = u, -5*u = 2*t - 422. Suppose -50*m = -46*m - u. Suppose -m*q = -17*q - 32. What is the highest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*47*((-1 - 5) + 5). Round m to the nearest integer.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*l = -24 + 6, -5*f - 3*l = -17. Let b = 14 + -17. Put f, 0, 3, b in descending order.\nAnswer: f, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 13 - 29. Let y = 109\/70 - 2\/35. Factor 9\/4*j + 3\/4 + y*j**f.\nAnswer: 3*(j + 1)*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1247641032 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20 - ((-99)\/11 - 16). Let u = -2 + 2. Solve -5*p = r*l - 15, p - l - 5 + 0 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 17 in descending order.\nAnswer: 17, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(20\/192). Is y < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 4*a - 3*c - 90, -45 = -a + 2*c. Solve -13*r - 2*r + a = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/2 + 2931*h**3\/2 + 95065*h**2 + 1489800*h = 0.\nAnswer: -2865, -40, -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + d + 15 = 0, 3*d - 25 = -125*p + 130*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -645711?\nAnswer: 645682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-789)\/154 - 3*5\/(-30). Let q = k - -54\/11. Solve -q*n - 3\/7*n**2 + 0 - 1\/7*n**3 = 0 for n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 282 + 183 + 3*l + 4*l**3 - 2*l - 505.\nAnswer: 4*l**3 - 2*l - 604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 2. Let z(u) = 3*u + 3. Let j(s) = 7*g(s) - 5*z(s). Let b(a) = 2*a**2 - a - 1. Determine b(r) - 3*j(r).\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31838, 37, -16 in descending order.\nAnswer: 31838, 37, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3958 + -3808. Solve -20*h + 10 = c for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 826 - 45\/(-105)*7. What is the highest common factor of o and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, z: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 divided by -5?\nAnswer: 463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*a**3 + 32*a**2 + 132*a - 144 = 0. What is a?\nAnswer: -12\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*w + 6*b - 4, 0 = 2*w - 4*b - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = 7*q. Let d(a) = 16*a**3 - 4*a**2 - 4*a - 6. Let c(y) = -y**3 + y**2 + y - 1. Let r(k) = q*d(k) - 4*c(k). Differentiate r(t) wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*-2*sqrt(78)*-1)\/(((1*sqrt(528) + sqrt(528))\/sqrt(11))\/(sqrt(1200)\/sqrt(6))).\nAnswer: -45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g - 3. Let y = 0 - 8. Determine b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/45 + 3\/(-15). Let z be (-4)\/(-6)*6 - 2. Is g > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10629 - -15610. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 18)*(30*j + 20*j + 1123*j**2 - 1124*j**2).\nAnswer: 19*j**2 - 950*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70049 and 15377037.\nAnswer: 15447086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-9)\/(-3)))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 3*o**4 - o**4 + (20*o**2 + 6*o**2 + 22*o**2)*(2 - 1 + 5*o**2 - 4*o**2) in the form f*o**4 + k*o + l*o**2 + d*o**3 + h and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/315*(-1)\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 60754 - 60754 - 9*o. Let w(f) be the second derivative of -f**4\/8 - 2*f**2 - 3*f. Let b(z) be the first derivative of w(z). Give b(t(i)).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 34 + 435*v**2 - 13*v - 434*v**2 - 36. Let m(h) = 3*h - 61. Let a be m(26). Calculate r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 38614?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**3*l + 48*d*g**3 + 2*d*g*l - d*l + 2*g**2*l - 23*g*l wrt g.\nAnswer: -12*d*g*l + 288*d*g + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*(-32)\/(-208)*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i + 272. Let u be y(-29). Sort -12, -3, u, 4.\nAnswer: -12, -3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = 16*u - 17*u, -20 = 2*u - 2*k. Let t be 14\/20*-8 - u. Which is the third smallest value? (a) t (b) -4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286*f*x**3 + 289*x**3 wrt f.\nAnswer: 286*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-21))\/((-3)\/(-63)). Let a = 23 + n. Suppose 0 = o - a*o + 20. Sort o, -4, -5.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 614 + 482 - 1410*w**2 + 454 - 398 + 572 wrt w.\nAnswer: -2820*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27833 (b) -0.06 (c) -0.5 (d) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*v + v - v) + 4*v - v - 4*v + (0*v + 5*v - 3*v)*(1 - 5 + 3) + (0 + 0 + 2*v)*(166 + 156 - 295).\nAnswer: 49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - w + 2. Is g(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3256080.\nAnswer: 9768240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 + 4123*j**2 - 4123*j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*v + 2*f + 3*f, -3*f = -5*v - 37. Let b = 4 - 2. Suppose b = k - 3*k. What is the biggest value in 0.2, v, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/7 + 97*q\/7 - 14 = 0.\nAnswer: -98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6 and 2 + -2 + 244\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-78) - (-14)\/(-4). Let x(c) = -3*c + 11. Let z be x(5). Calculate the remainder when ((-3)\/(t\/17))\/((-2)\/z) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*r + 1 - 3, -5*v = -3*r - 13. Let x(c) = 3*c**3 - 7*c**2 - c - 4. Is x(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97604 is divided by 2268.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3239*t**4 + t**3 + 2*t**2 - 802.\nAnswer: -12956*t**3 + 3*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -55. What is the closest to -7 in -0.3, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6564*b - 3362*b - 3309*b.\nAnswer: -107*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 338.6?\nAnswer: 338.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9074694 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -0.3481.\nAnswer: -3.8291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**2 + 6*h**2 - 3*h**2 - 36*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from {p: 6, f: 7, x: 6}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 40*w = -75. Suppose 5*u + f - 27 = 0, u - w*f = -15 + 10. Solve -2*t - u*a = 21, -9*a - 10 = 5*t - 5*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000122111 (base 3) to base 12.\nAnswer: -b7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.5\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 64. Calculate the greatest common divisor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = v + 7, -5*v - 16 = -4*l - 0*l. What is the units digit of -51*(12\/(-9) - l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-27) - ((-24 - -18) + (-320)\/(-54))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 98*w**2 - 104*w + 510. Let j(r) = -16*r**2 - 16*r + 85. What is -13*j(n) + 2*q(n)?\nAnswer: -2*n**3 + 12*n**2 - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72175876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/10 + 5*z**4\/24 + 5*z**3\/6 + 11*z**2. Let m = 2720 - 2719. Let u(h) = -h**2 + h + 1. What is m*g(x) - 5*u(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 39278384.\nAnswer: 196391920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1169 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -6. Let p = q - -161. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120190341 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5*k*r + 8*h**5*r + 4*h*k*r - 3*k + 2*r wrt h?\nAnswer: -20*h**3*k*r + 160*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301008227 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 1)*(5 + 2*z - 5 + (z - 2*z + 4*z)*(0 + 3 - 4)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -7 (c) -0.04 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-18)*18\/(-456)*(-20)\/(-10).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-5))\/(1\/(-5)). Suppose w*u - 6 = 2*u. Suppose -23 = -c + 3*g, -4*c + 5*g - 2*g + 56 = 0. What is the remainder when c is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(12)\/sqrt(6))**2*5 + 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 96 = 18*z. Let m = 3 - -12. Let j = m + -10. Solve -2*h + y + 12 = 0, -z*y + 8 - 4 = j*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 37. What is the remainder when h(10) is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1379*i**2 + 4473*i**3 + 1379*i**2.\nAnswer: 4473*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3\/35 in increasing order.\nAnswer: -4, -3, 3\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b**3\/4 - 1910*b**2 - 79235*b + 32000 = 0.\nAnswer: -256, -50, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*s + 66 - 66)*(-s**2 + s + 5 - 5)*(19 + 9 - 5).\nAnswer: 2875*s**3 - 2875*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -732 + 734. Solve -7*x + c*x + 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585076 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2234505 + 4?\nAnswer: -2234501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.79285 kilometers in meters?\nAnswer: 89792.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 10393384*z**2 + 6928924*z.\nAnswer: -z*(z - 3464462)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 2*t**2 - 4*t - 6. Let b(h) = -13*h**3 + 3*h**2 - 8*h - 11. Let n(g) = 6*b(g) - 11*f(g). Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 235?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12\/(n\/n**(1\/10)))\/(n*n*n\/(n*(n**(-2)*n)\/n*n*n)*n)**(-22\/7))**(-11) assuming n is positive.\nAnswer: n**(-15807\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6212.681 centimeters to nanometers.\nAnswer: 62126810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.412 (c) -314 (d) 0 (e) 2\/221 (f) -3\/4 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 + 6*x - 7. Let v be ((-3)\/(-6))\/((-2)\/8). Let g(y) = y**2 + y. Let u be g(v). Suppose 5*t - 5 = 7*p - u*p, 5*p = 4*t. What is o(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/4)*m*m*m**(-2\/5)*m*m*m**(4\/9)*m\/((m\/m**(-1)*m)\/m))**(-9) assuming m is positive.\nAnswer: m**(-863\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 29. Let v be s(-9). Let z(i) = 3*i - 4 + i - 5*i. Let x be z(v). Solve -x*c = -2*o + 5, -o - 1 = -c - 4*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 202. Let o(m) = -7*m + 109. Let j be o(11). Let g be t(j). Calculate the highest common divisor of 210 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3 - 154842*y**2 + 309675*y - 154836 = 0 for y.\nAnswer: 1, 51612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 + 19*z**4\/12 - 40*z**3\/3 + 2894*z**2. What is m in i(m) = 0?\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 2. Let u(z) be the first derivative of -z**3\/3 - z**2\/2 + 2*z - 3. Let b(x) = 4*o(x) + 5*u(x). Factor b(w).\nAnswer: -(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:23 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1409011*m**2 + 1409011*m**2 - 378*m**3 + (m**2 + m**2 - 3*m**2)*(3*m + 0*m + m) to y*m + l*m**3 + x + h*m**2 and give l.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 776 divide 118884695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpppppfpppp. Give prob of sequence ffp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**2 + 15*b**2 + 3*b**2)*(-5 + 5 - 1)*(2*b + 0*b + b) + (-b + b - 2*b**2)*(-3*b + 0*b + b).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 18 = 39*n. Suppose 0 = 2*c, -4*c = -z - 5 + 23. Calculate the remainder when 15 is divided by n\/(-6) + 84\/z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*b = 694, 2279 = 5*q - 4*b + 595. Calculate the remainder when 1357 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12457.2 and 4.\nAnswer: -49828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8 + 11*v**2 - 11*v + 4*v**3 - 6 - 2*v**3 - 3*v**3. What is the tens digit of c(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 57, 112, 161, 186, 169?\n\"Answer: -3*r**3 + 24*r**2 - 8*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 2236*q**3 - 2*q**2 - 26183*q?\nAnswer: -24*q**2 - 13416*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v. Let n = v + 4. Let c = -0.1 - 0.1. What is the nearest to -1 in c, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c*c**(1\/7)))\/c)\/c)\/(c*c*c**(-5)))\/(c**(1\/5)\/((c\/((c**(-3\/7)*c)\/c*c))\/c)))**(21\/2) assuming c is positive.\nAnswer: c**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -2*w. Suppose 2*d + 3*d = 5*r - 40, 2*r + w*d + 2 = 0. Suppose -2*g = 4*t - r + 21, 0 = -5*g - 2*t - 8. Solve -2*p + g*p - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.8 and -7564707561.\nAnswer: -7564707564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 4*n + 52, 4*n = -3*s + 118. Calculate the remainder when s is divided by (-1 - -4) + -1 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 2*k = -896, 2*k = i - 296. Suppose 12*t + i = 15*t. What is the remainder when t is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 24 = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6464, -1.3, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 2:01 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:35 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406 and 22.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 315\/(-30))\/(33\/330)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 855.16446\nAnswer: -855.06446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -490*k**3*z + k**3 + 7*k**2*z - 4756 wrt z?\nAnswer: -490*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (10 - -2) + (9 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*w - 3*v + 17, 4*w = -5*v + 10. Suppose 16 = -4*j, 0 = -w*s - 3*j + 9 + 4. Let c(z) = -z + 6. What is the units digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(192) + 2*(sqrt(75) + sqrt(3)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69.122 + 0.122. Let z = 70.72 + k. Let b = -1.71921 + z. What is b rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -224\/9? (a) -4 (b) 1\/6 (c) 0.01 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99)*-4)*-3.\nAnswer: 9 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -9*i + 0*i**5 + 0*i**2 + 0 + 1\/90*i**6 - 1\/36*i**4 + 0*i**3. Factor f(u).\nAnswer: u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4008264 is divided by 490?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 2, n: 3, h: 1, v: 1}. What is prob of picking 1 n and 2 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/409, -33, -4?\nAnswer: 2\/409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.2466767 months?\nAnswer: 0.103889725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32211 + -32211.2. What is the closest to -1\/2 in t, 52, 22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159.7 - 147. Let q = 0.3 + d. Let f = q + -13.64. What is f rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (8395 - 8457)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let c(s) be the second derivative of 0*s**3 + 0*s**2 - 1\/4*s**4 + 6*s + 0. Give a(c(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/20)\/((14\/(-16))\/(67\/804)))\/1.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 - 11*x**3\/3 - 11*x**2\/2 - 4*x + 4. Let p be c(-10). Is (-1 + 2)*(-1 + p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 95. Let w be a(33). Sort 5, w, -29.5.\nAnswer: -29.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (510\/(-17))\/(-15)*(-20)\/24\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -57*b - 57*b - 66*b + 4 - b**2 + 175*b. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:48 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -51, -70, -87, -102?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhadqdqddqqqdddhd. Give prob of sequence fqa.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 11*h**2 + 26*h + 1. Let w be n(-13). What is the common denominator of 1\/16 and (713\/136)\/w - (-46)\/(-391)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 30285486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9100*u - 20684 + 55903 + 37581 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 0, -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4865.2 + 4856. Let z = 10 - 18.7. Let c = z - d. Round c to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942358?\nAnswer: 2, 471179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 16 (b) -2\/7 (c) -46\/31 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4757055031 rounded to the nearest one million?\nAnswer: -4757000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17834652 and 38628.\nAnswer: 659882124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1645*p**2. Let z(o) = -6*o. Calculate f(z(n)).\nAnswer: -59220*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12003, 22772, 33551, 44346, 55163, 66008, 76887, 87806?\nAnswer: 98771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597430 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33003)\/7334)\/(3\/1))\/(1\/(-24)*-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 3*a**2 + 61*a**2 + 39*a**2 as y*a**2 + v + c*a and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-13 - (3 + (24 - 23)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(-14*y - 478 + 478) - y**2 + 0*y**2 + 0*y**2 + (6 - 6 - 3*y)*(-y + 2 - 2).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-70) + ((-1254)\/(-152))\/(14\/48). Solve 1169*b - 1173*b = k for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 56. Put -0.2, -4, 4\/5, g in decreasing order.\nAnswer: 4\/5, -0.2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -38*j + 86. Let q be h(14). Let f = q - -896. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = g - 16*g. Factor -3\/2*q**2 + g*q + 3\/2.\nAnswer: -3*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 11*q + 3*g + 15 = 0, 0 = g + 3. Suppose -b - 3*m + 955 = -8*m, -5*m - 2815 = -q*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*s + 18. Solve -s*q = -16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/((-9)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 18, -1.2, 7 in descending order.\nAnswer: 18, 7, 6, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -540.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 - c + 1. Let m(z) = 142*z**3 + 9*z**2 - 2401*z - 1. Let l(k) = -m(k) - t(k). What is the second derivative of l(h) wrt h?\nAnswer: -846*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 64134 = 5*v, 25*v - 24*v = -2*b + 12824. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + -1168187779206\nAnswer: -1168187779205.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1099*v**2 + v**3 - 5*v**3 + 1112*v**2)*(-4*v + v + v)*(-1 - 9 + 17).\nAnswer: 56*v**4 - 182*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -358514.\nAnswer: -4\/179257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, -6\/7, -3, -0.02, -524?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + m + 2*m - 1 + 1 + (5 - 5 + m)*(7 - 1 - 4) - 3*m + 2*m + 3*m - 3*m + 3*m + 2*m + 2187*m - 396 + 165 + 227.\nAnswer: 2196*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880963.5kg to nanograms.\nAnswer: 880963500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3555450 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3520*s + 3614*s - 235422 = 0 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 1. Suppose -5*b + 2 - 7 = -k, 0 = 5*b + 2*k + 20. Let h = 1.54 - 1.84. What is the third smallest value in b, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-592)\/2516)\/(4\/34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0*p - 4*p - 3*p - 4*p + 9. Let q be z(-10). Let t = 156 - 139. Calculate the highest common divisor of t and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**18*m)\/m)\/m)\/m)**(-17))**(9\/5) assuming m is positive.\nAnswer: m**(-2448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2473.565ml to litres.\nAnswer: 2.473565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 961*f**6\/2 - 3117*f**2\/2 - 2*f - 1122. Find the second derivative of p(k) wrt k.\nAnswer: 57660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 53025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/20 + z**4\/4 - 63*z**3\/2 + 181*z**2 + 2. Solve w(a) = 0 for a.\nAnswer: -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519602997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8647515 to the nearest integer?\nAnswer: 2941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 599989549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 8. What is the least common multiple of c(-9) and 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.2, -2\/3, 10, 4\/9 in increasing order.\nAnswer: -2\/3, 4\/9, 1.2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1030 - 706. Suppose t*q - 321*q = 162. Suppose -4*c + 66 = -3*y + 4*y, 0 = 4*c - 5*y - q. What is the greatest common divisor of c and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/18)\/(62\/93)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/7))**(-34))**(-5\/13))**(-37\/4) assuming y is positive.\nAnswer: y**(3145\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1011 + -366956\nAnswer: -367967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 10*b - 34. Solve 33*y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24060950 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10885123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 - 3*k**3 + 3*k**3)*(-12 - 7 + 0).\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -6) + -6 + 12 + -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6830725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -981, -1967, -2955, -3945, -4937, -5931?\n\"Answer: -g**2 - 983*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*m - 212*m - 42*m**2 + 81*m**2 - 40*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -2\/17, 0.07, -72, -0.32, 0?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i = -6*i - 83 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/30*(-3)\/2. Let c = f + -6\/5. Let j = -7 + 5. Are j and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, 10 in descending order.\nAnswer: 10, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*x = 41 + 7, 2*y - 2*x = 36. Let c(z) = 9*z**2 + y*z**2 - 25*z**2. Let l(m) be the first derivative of -5*m**2\/2 + 6. What is l(c(w))?\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 251. Let l(z) = -z. Give 3*l(x) + s(x).\nAnswer: -x - 251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 980034 - 422473. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -2*p - 22, -v + 7 = -5*p. Calculate the remainder when v is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14643 and 138609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668 a factor of 785201424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3031 is divided by 3\/4*2*((-4160)\/(-96) + -16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, 314, -62 in decreasing order.\nAnswer: 314, 3, -1, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 572709.8 milligrams in kilograms?\nAnswer: 0.5727098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 4. What is the remainder when 59 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -682, -642, -564, -436, -246, 18, 368?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 149*z - 8346 = -283*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890\/1613 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21335 = 649*h + 372*h - 761*h + 6775 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29119 is divided by 9146.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 3192*b - 1273608 = 0.\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1360 by -4.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7.6 (b) 0.3234 (c) 538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714331770 rounded to the nearest 100000?\nAnswer: 3714300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 + 0.2. Let x = -1.37 - -1.37. Let p = 1.53 + -1.03. What is the closest to 0.1 in x, p, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 2. Let p be w(6). Let v = p - -7. Differentiate -j**v - 4 + 0*j**3 + 6 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -449, 3.\nAnswer: -449, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 (base 15) in base 7?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 - 9*t - 4. Let p be n(-7). Let y = 145 + -172. Does 25 divide y\/(-18)*p*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (13 + -8 - -4) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55474150.\nAnswer: 2, 5, 107, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*x = x - 18, 0 = -4*x - 4. Let u(c) = c**3 - 6*c**2 + 12. Let k be u(5). Let m = k - b. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31012 - -10?\nAnswer: -31002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baeeka. What is prob of picking 2 a and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 46*f - 39*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3 - 6. Let p be v*(-2 + (-2)\/(-3)). Which is the third biggest value? (a) -5 (b) p (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.1. Which is the second smallest value? (a) t (b) 0.3 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001993583215 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by (9\/(-6))\/(54\/(-612))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 120 + 129 - 376 + 126 - b. Let a(w) = -4*w - 15. Calculate a(l) - 2*m(l).\nAnswer: -2*l - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -5*c**3\/6 - 5*c**2 + 42*c. Let t be k(-2). Solve -3*a + t*a - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - j**2 + 11*j + 2. Let s be 8*(-3 + 15\/6). Let a(z) = -4*z**3 - 2*z**2 + 10*z + 3. Let w(v) = s*a(v) + 3*q(v). Calculate w(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 11*b**2 - 29*b - 2. Let y be p(6). Let l be y\/6 + 13\/39 + 1. Solve l*f = -f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**7\/210 - 31*v**6\/50 + 365*v. Factor w(c).\nAnswer: -c**4*(c + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -134*u**2 + 32*u**2 + 34*u**2 + 37*u**2 + 40*u**2. Let y(v) = -93*v**2. Calculate y(x(q)).\nAnswer: -7533*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13.00000034. Let s = i - 0. Round s to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9205 rounded to 1 decimal place?\nAnswer: -21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, 1 a, and 1 k when four letters picked without replacement from yvjcakcvcjcayvy.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = -2*o, -5*c - 18 = 2*o. Let f = 15 + -11. Let n = f - 50\/13. What is the nearest to -0.1 in n, c, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(48)\/sqrt(6)))\/(sqrt(6) - (sqrt(6) + sqrt(42)\/sqrt(7)*6 + sqrt(6))))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -9123694?\nAnswer: 23\/4561847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 20. Let n be w(-6). Let b = n - 18. Let u be (-11 - b)\/((-6)\/(-4)). What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 x when three letters picked without replacement from qqxjk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let b be 3\/4 - 108\/16. Let z(l) = l**3 + 6*l**2 + 2*l + 6. Let s be z(b). Let t(m) = -8 + 18 - 8 - 7*m. Determine s*q(h) - t(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 222*r**3 + 3*r**2 + 12*r + 9. Let n be q(-1). Is -219 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -110*k + 223*k - 111*k. Let z = 9 - 10. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*a + 38, 2*a - 3*a + 3*p = 13. What is the common denominator of a and 49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-7)*(-4)\/(-16) - -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -2\/69, -8, 0.5, 1344 in decreasing order.\nAnswer: 1344, 6\/5, 0.5, -2\/69, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.908 + -0.808. Let w = 47.1000261 - p. Round w to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:54 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4021*a - 6899*a + 5656*a)*(2*a**2 + 0*a**2 - a**2).\nAnswer: -5264*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 1\/2, -1\/4, -268, -347?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from yycoryccroc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:22 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - 5*o + 4. Suppose -16*l = -28*l + 60. Let r(x) = 6*x**2 + 5*x - 5. Calculate l*n(j) + 4*r(j).\nAnswer: -j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**6\/3 + 15*i**4\/4 - 94*i**3\/3 - 2223*i**2\/2 + 2*i - 9106. What is the second derivative of d(c) wrt c?\nAnswer: -40*c**3 + 90*c - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.3 - -59. Sort 3, -3, u, -4 in descending order.\nAnswer: 3, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 39 + -2)*((-2 - 12) + (-455)\/(-35))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 + 3*b**5 + (0*b**4 - 2*b**4 + 3*b**4)*(-5*b + 3*b + 3*b) + b**5 + 1 - 1 - b**5 - 4*b + 4*b + 8 + b**5 + 2*b**4 - b**2 - 8.\nAnswer: 5*b**5 + 2*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6977*k**2 + 14*k - 9?\nAnswer: -13954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1374, -5527, -12450, -22143?\n\"Answer: -1385*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*s + 94. Suppose -x = -0*x + 5*p + 345, 10 = 2*p. Let y = x - -396. Calculate the highest common factor of y and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 408196*l**3 - 4*l**2 - 15520 wrt l.\nAnswer: 2449176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*d - 2*u + 5*u, -5*u = -15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 f when four letters picked without replacement from {f: 5, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22029331343\/205264260 - -894959\/8542. Let t = p + 1\/4806. What is the common denominator of -125\/114 and t?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -333, -2, -1, -3 in ascending order.\nAnswer: -333, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*j - 2 + 8, 4*i - 5*j - 16 = 0. Let t be (0 - (2 + -2))*i. Solve -x - 4*z - z - 18 = t, 3*x = 3*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2303990448 - -19538842.0503990448. Let h = d - 19538822.81999982. Let a = h - 19. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464625 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*10*(-1)\/2. Suppose 37 + 13 = j*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -5, -52413, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 343 times 0.7\nAnswer: 240.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n - 2. Let y be o(-1). Let c = y + 1. Is -1\/85 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -9)\/(-24) + (-2)\/(-4). Put 4, a, -1, 8 in ascending order.\nAnswer: -1, a, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.363712 and 2.\nAnswer: -18.727424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -3*g - 4*q, -4*g - 83 = -5*g - 4*q. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472193 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 0.612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)\/((-2)\/(-3) + -1). Suppose -d*r = -3*h - 3, 2*h - 4*r = 3*h - 14. Which is the second smallest value? (a) 1 (b) h (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 67, 101?\n\"Answer: 34*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 385947.13 and -43.\nAnswer: 385904.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -781 (b) -3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141790*w**4 + 1935*w**2 - 30*w wrt w.\nAnswer: -3402960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-2\/9)*(v**(1\/2))**(-3)*(v*v*v*v**(-2\/17)*v*v**2)**(-10) assuming v is positive.\nAnswer: v**(-2051\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 41*v. Let f(c) = -60*c**3 - c**2 + 7*c + 8. Let r be f(-5). Let d(i) = -r + 7448 + 2*i**2. Calculate d(l(z)).\nAnswer: 3362*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37035*y**2 - 115*y - 111 wrt y?\nAnswer: 74070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.825 + 0.455. Let h = p + 3.77. What is the nearest to 10 in 0.3, h, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2)*o*o)\/((o**2\/o)\/o))\/(o*o**(2\/5))**10*(o\/o**(-6)*(o**(2\/3)*o)\/o)\/(o*o**(-1))**37 assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -184, -374, -634, -958, -1340, -1774, -2254?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 156?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:33 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*g = -21. Is g less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 16*w + 42. Let q(t) = t**3 + 4*t**2 + 10*t + 4. Let v(r) = -r**3 - 3*r**2 - 7*r - 4. Let y(s) = w*v(s) + 2*q(s). Give y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - -6.09. Let t = 5 - y. Let u = -13.2 + 13. Which is the nearest to t? (a) 0.5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0234784 and -0.42.\nAnswer: -0.4434784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 59*k - 80*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148\/18217 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -1, a - 2*s - 82 = 0. Suppose -3*k - 44 = -a. Calculate the smallest common multiple of 16 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0128 times -967755?\nAnswer: 12387.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.40339s?\nAnswer: 7403.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*v + 30, -3*o - 24*v + 12 = -26*v. Solve s - 4*y + 3 = -8, -5*s + 4*y + 9 = o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6515, 6515, 6521, 6533, 6551, 6575?\nAnswer: 6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + (2 - 1 + 0)*(3 - 3 + 2) + 2 + 0 - 1 + 3 + 2 - 4)*(-634*k - 1382*k - 626*k + 167*k).\nAnswer: -14850*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 396465960.0000158 - 396465849. Let v = q + -111. What is v rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -2, 0, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 82?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*l + 4818 = -1866 + 1372 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, -1\/777 in ascending order.\nAnswer: -1\/777, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*z - 7*z - 12 = 0, 0 = -3*u - 2*z + 9. Suppose u*p + 0*p = 156. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 18.35. Let h = -3.4 - u. Let r = -0.06 + 2.06. Which is the smallest value? (a) r (b) -4\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8913 + 1713 = 7*f. Calculate the highest common divisor of 66 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s - 1066 = -116*s + 3309 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/12)\/(((-63)\/(-54))\/7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 143, 730, 1681, 2996, 4675, 6718?\n\"Answer: 182*k**2 + 41*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - 3?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k**2 - 28*k**3 + 1091*k + 64*k**2 - 1092*k.\nAnswer: -28*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (6 - 3 - -4) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 12 = -10*h. What is the third derivative of h*j**3 + 12*j**2 + 300 - j - 300 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 3*s**3 - s**3)*((0 + 0 - 3*s)*(-2 - 11*s + 2) + 17*s**2 - 54*s**2 + 17*s**2).\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8, 4900 in descending order.\nAnswer: 4900, 7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 21841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/7, 0.125, 0.01?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -0.5 (c) 0.165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(9*g + 45 - 45 + (-1 + 2 + 1)*(3*g - 4*g + 3*g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 714 - 679. Let l be (g - 1)*69\/(-46). Which is greater: -0.4 or l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -602870\/179 + 3368. Which is the nearest to 2\/7? (a) l (b) -5 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 5 = -18*c + 14*c + 53*r, 0 = -3*c - 4*r + 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17781 + 17777. Let f = 0 + -1. Put -3, s, f, 2\/5 in increasing order.\nAnswer: s, -3, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-40)\/14*665\/(-38) and 65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5774385.7 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11322 - 3?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -738*n + 21298. Let l be w(26). What is the highest common factor of 150 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -141\/6041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1692 and 5828.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:35 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**2\/2 + 17*g. Let n(u) = u - 5. Determine -n(f) + 3*z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 20*t + 17. Calculate c(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-9 - 9) + -2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 118, 130, 142, 154?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 40*k - 7*k**2 + 17*k)*(4*k - 2*k - 4*k) to the form n*k**2 + a + t*k + x*k**3 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 9*b + 7*b - 11*b - 9*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + 26*p - 8. Let w(n) = n**2 - 9*n + 3. Let q(x) = 3*s(x) + 8*w(x). Find the second derivative of q(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -36*c + 34*c - 1, 4*s = -3*c - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3\/w)\/w)**(-42) assuming w is positive.\nAnswer: w**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 13*f - 2. Suppose 9 = w - 5*q, -4*w + 5*q - 9 = -0*w. What is u(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 2271568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 k when four letters picked without replacement from ookokook?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4833 + -4830. Let m be (3 + 0)\/((-2)\/(-6)). Let k be ((-3)\/m)\/(1\/(-9)). Solve k = 3*l - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519788 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = 5*z. Sort 5, z, -4, -17 in decreasing order.\nAnswer: 5, z, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 271. Give k(37).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 - 1)) + 0 + (1677 - 1682).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6632\/4145*1*(-10)\/164. What is the fourth smallest value in -0.4, h, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*a**3*u - 20069*a**3 + 164*a**2*u - a*u wrt u.\nAnswer: -58*a**3 + 164*a**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/153 (b) 7 (c) 0.4 (d) -3 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k + 996. Let o = 528 + k. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2947 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 57*o - 492. Let g be d(46). Calculate the highest common factor of 2954 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 5) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 1899*w + 276 - 276 - 1899*w - 2*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -41*g**2\/2 + 2*g + 17. Is 20 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 1017 - 2*s - 259 - 253 - 246.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87973?\nAnswer: 87973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(3*g + 0*g + 4*g) - 4*g**2 + 2*g**2 + g**2 + 4 - 6 - g**2 + 0.\nAnswer: -16*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.11 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/1609 + 139967\/25744. Find the common denominator of v and -4 - (3434\/(-120) - (-2)\/(-15)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3 + 0 - 1\/5*v**5 + 0*v + 9\/5*v**4 + 0*v**2 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/6 - 275*k**3\/3 + 25391*k**2\/2 - 75350*k\/3 + 37538\/3.\nAnswer: (k - 274)**2*(k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 22. Suppose 5*b - 1 = u. Solve -3*n = n + d - 21, -3*d = -n + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:41 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 24*l**2 + 5*l + 5. Let z(c) = -7*c + 35*c**2 - 6*c + 2 - 7*c + 22*c - 47*c**2. Calculate -2*i(m) + 5*z(m).\nAnswer: 2*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/7 - (71 - -2). Let v be -5*1\/(-5) - b. Suppose 3*l - v = 6. Solve 4*q = -4*a - l, -a - 2*q - 19 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**27\/w**1 assuming w is positive.\nAnswer: w**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103945046 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3027 or 2635?\nAnswer: 3027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5*j - 7. Let t(g) = g**3 - 6*g**2 + 3*g + 5. Let v be t(5). Give b(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -653 + -11421?\nAnswer: -12404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4760 and 2125.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 240*a**2 + 495*a + 250.\nAnswer: -5*(a - 50)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 890018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 95 = 5*w, 0 = 8*k - 3*k + 2*w - 67. Solve -22*i + 19*i - k = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**2. Suppose 7 = 4*p - b - 4, -4*p = -5*b - 23. Let x(k) = 6 - 4 - p + 10*k**2. What is x(v(r))?\nAnswer: 1440*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*f - 58788 + 59315 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 8 + 17*r**2 + 117*r**2 + 81*r**2.\nAnswer: 215*r**2 - r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -406, -428, -452, -478, -506, -536, -568?\n\"Answer: -y**2 - 19*y - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3690778 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n**2 + 7525*n - 157*n**2 - 7525*n)*(3*n + 0*n - 2*n).\nAnswer: -171*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 10 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 16*c**3 + 1. Let v(p) = -5*p**2 + 6526270416*p - 6526270416*p. What is m(v(h))?\nAnswer: 1200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 + 6*j + 18. Let z be a(8). Let g = z + -447. Solve 2*w + 3*w - 3*u = 26, -4*w - g*u = -10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y + 3*y)*(0*y - y + 3*y) - 302*y**2 - 495*y**2 + 72*y**2 + 4*y**2 - y**2 - 2*y**2 in the form m*y**2 + h + w*y and give m.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75072 by -4692.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 785 and 2188580.\nAnswer: 2188580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**3 + 2 - 89*i**3 - 2.\nAnswer: -103*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 203.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -259540, -517784, -776032, -1034284?\n\"Answer: -2*b**2 - 258238*b - 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 741*z + 1504*z = 766*z + 2, -2*t + z + 2*z = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.72842 - -0.27158. Let o = 0.1 - 0. Which is the biggest value? (a) 19 (b) f (c) -1\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1294)\/6)\/(55\/(-495)).\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 10. Let v be t(-4). Let w(s) = s**3 + 11*s**2 + 9 + s**2 + 11*s + 3*s. Is w(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1748 and 35006.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*m + 2*m**3 - 5 + 96*m + 91*m - 4*m**4 + 91*m - 5*m**4 as b*m**3 + v + i*m**2 + s*m**4 + g*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -355*t**3 - 6*t**2 + 4*t + 114. Find the second derivative of o(u) wrt u.\nAnswer: -2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 2*t - 1. Let q be k(1). Let w = 9 - 5. Calculate the least common multiple of 2 + -2 + w + q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87286 is divided by 373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 11*y - 11*d = -7*d + 13, 0 = -y + 2*d + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-22)\/5)\/(432\/40 + -11). Solve -28*j = -b*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-2)\/18)*(-1758)\/(-4981).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -13 + 193. Let k = s + -27. What are the prime factors of k*9 - ((-6 - -1) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1804 and 47\/492?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -1\/5, 66\/89?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z - 37. What are the prime factors of i(10)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 3, -3, -5140, -2 in ascending order.\nAnswer: -5140, -58, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 8*o. Calculate the remainder when r(7) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34203049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-18) - 21\/(-2). What are the prime factors of 93\/r + 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13c6 (base 14) to base 5\nAnswer: 103011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812550?\nAnswer: 2, 3, 5, 7, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 126272241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9607549 is divided by 739041?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)*(-7 + 7) - 0. Let z be -4 - -10*(1 - b). Let u(j) = j**3 - 7*j**2 + 4*j + 7. What is u(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (88 + -97)\/((-6)\/(-2)). Which is greater: s or 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 3*k - 213. Let n = k + -74. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 13*u**2 - 606*u - 76. Let m be q(-32). Put 3, m, 0.2, -1\/4 in increasing order.\nAnswer: m, -1\/4, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8034192 rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*g**2*i*r + 20*f*g**2*i - f*i*r - g**2*i - g*i*r - 11*i*r wrt f.\nAnswer: -g**2*i*r + 20*g**2*i - i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 2080*q**2 - 8385*q - 6300 = 0.\nAnswer: -3, -1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 545683046 and 20994?\nAnswer: 6998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) 0.4 (c) -5 (d) 41 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmewef. What is prob of picking 1 m, 1 w, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 21 = -3*a, 4*r - 2*a - 8 - 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*(-3)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 72. Suppose -r = 3 - m. Solve -4 + 0 = r*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (-9 - (0 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 6 - 150 = g + 31*o, 0 = -4*g - g + 4*o - 1533670 + 1533724 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/3, 5\/12, 0.5?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (1 + 2 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (11 - 12 - -18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(8\/3)*b**(-10)*(b**(2\/27)\/b)**(9\/4) assuming b is positive.\nAnswer: b**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1484250 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 250278868 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(13\/6))\/(-3*(-1)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 2 o when four letters picked without replacement from gcogvnglgglco?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -741 - -1314. List the prime factors of o.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 - 2*c. Suppose 6*w - w + 2*y - 4 = 0, 0 = 2*w + y - 1. What is the units digit of z(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 141, 303, 531, 825, 1185?\n\"Answer: 33*t**2 - 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {c: 1, h: 2, f: 2, r: 2, d: 5, k: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 39*p + 6. Let h be u(-4). Let n = -99 - h. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 + 3*y - 5. Let h(x) = 5*x**2 - 4*x + 5. Calculate -3*c(k) - 2*h(k).\nAnswer: 2*k**2 - k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*g - 33*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212022122 (base 3) in base 14?\nAnswer: -d523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 9*v**2 + 9*v + 11. Let w(h) = -h**3 - 2*h**2 + h - 2. Let d(r) = q(r) + w(r). Calculate d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**3 + 7*n**2 + 9*n**4 - 3*n**2 + 7*n**5 - n**2 - 4*n**5.\nAnswer: 3*n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8770513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 12, 24 = 2*q + 2*s - 7*s. Determine l so that -7 - l**2 + 6*l**3 - 1 + 9*l**q + 6*l**2 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from {v: 3, f: 8}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932 = -68164*g + 67905*g - 10982 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4\/11 + 156*v**3\/11 - 117422*v**2\/11 - 117576*v\/11 = 0.\nAnswer: -284, -1, 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 9:43 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q - 18*q - 1 + 16*q**3 + 1 to j + p*q + c*q**3 + u*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(5\/2)*o**(-1\/8)*o*o**(-4\/5)\/(o\/o**8) assuming o is positive.\nAnswer: o**(223\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -19*j**5\/30 - j**4\/12 + 17*j**3\/3 - j**2 - 10*j. Find the first derivative of l(w) wrt w.\nAnswer: -76*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:39 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.07105 to two dps.\nAnswer: -3.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:44 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1.81, 3 in descending order.\nAnswer: 3, -1.81, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 1. Let d(t) = 9*t - 2. Let c be ((-5)\/3)\/(2\/6). Let w(y) = c*j(y) - 3*d(y). Let s(h) = 5*h**2 + 2*h + 1. Let n be s(-1). Give w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-1 - 0)) + 2. Let b = a - 1. Let o(i) = -i + 10. Let u be o(5). Put b, 4, u in descending order.\nAnswer: u, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2 + 68*h + 84. Calculate f(12).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 751944 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168571 divided by -27.\nAnswer: -168571\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/160*4)\/(2\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((((r\/(r*r**3*r*r))\/r)\/r)\/r)\/r))**(-41))**(4\/5) assuming r is positive.\nAnswer: r**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 18 = -3*w, 0 = 32112*w - 32108*w + 2*g + 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 3. Let v(j) = -1. Suppose -3*g + 1 = -i, -i - 10 = g - 5. What is g*u(h) + 3*v(h)?\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2362*h**4*u**3 + 2*h**2*u**3 + 610*h*u**3 + 2*h*u**2 wrt h.\nAnswer: -56688*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:00 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44661798 and 174?\nAnswer: 44661798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 + (4 - -1). Suppose -42 = 5*l - 122. Calculate the smallest common multiple of l and t\/5 + 85\/25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269130875 times -4\nAnswer: -1076523500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = i - 2*y, 47*i - 43*i = 4*y + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3357, 9783, 16209, 22635, 29061, 35487?\n\"Answer: 6426*l - 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 (base 15) in base 8?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 2684752.\nAnswer: -17\/2684752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.6 + -84. Sort -0.6, w, 1\/4 in descending order.\nAnswer: 1\/4, w, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2811 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u + 28. Let a(t) = 2*t**2 - u*t + 39*t. Let s(i) = 3*i**2. Determine s(a(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/5 (c) 1 (d) -439 (e) -2\/9 (f) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 51195 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(13\/(-3))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/3 + 550*b**3\/3 - 727*b**2 - 552*b + 3276 = 0.\nAnswer: -2, 3, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 822725*z + 7404523. What is d(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 17*h - 13*h - 9*h + 68*h - 20*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h**2 + 2 + (5*h - h + 0*h)*(-3*h + 6*h - 2*h) + h**2 + 0*h**2 - 3*h**2 + 0 - 2*h**2 + 0)*(0*h - 2*h**2 + 0*h)*(3 - 3 - 8).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7507*j**3 + 7517*j**3 - 15065*j**3.\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 66, 0.1, -3 in ascending order.\nAnswer: -3, 0.1, 66, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8495 is divided by 132 + -5*(-154)\/(-55)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76 - 111*n**3 - 179*n**3 + 143 + 535 wrt n.\nAnswer: -870*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 115 + 77 = 2*b, 5*n = 25 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 257 + 8 = -z, 5*p - z = 441. Let y = -438\/5 + p. Which is the closest to -0.1? (a) -5 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 36. Let s be r(16). Let p = 20 - s. Let t = p + -5. Solve 4*g - 3*y + 12 = 0, 12 = 2*g - g + t*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195416 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6 and -83\/57120?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1369.8 - 1231.98. What is l rounded to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408267, -408266, -408265, -408264?\nAnswer: -408263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let k be 1\/(b\/1) + 1. Suppose -2*l + 24 = 5*r, -k*l + 3*l = 3*r + 1. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/5))**(-40))**(3\/11) assuming p is positive.\nAnswer: p**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z - 2 - 41*z - 105*z + 187*z.\nAnswer: -8*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (6 - 2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1132\/5 (b) 2\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Let t = -100.9 - -106. Let s = -1.1 + t. Which is the second smallest value? (a) s (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*f**2*n**3*p - 3*f*n**3*p - 55*n**3 - 13*n*p wrt f.\nAnswer: -268*f*n**3*p - 3*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -56. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3026 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868 is divided by 1099?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*p - 91*p - 101*p - 98*p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 5*z - 7*z as m*z + u and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, b: 1, o: 2, t: 2, k: 11}. What is prob of picking 1 k and 1 m?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.93 - -25.93. Which is smaller: 1.8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*m + 11 = 0, -3*m + 2 - 9 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, -11, -72, -133, -194, -255?\n\"Answer: -61*h + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811 is divided by 200.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**3 - 15*g**2 - 46*g - 8. Let o(i) = 3*i**3 - 6*i**2 - 22*i - 4. Determine 5*o(y) - 2*s(y).\nAnswer: y**3 - 18*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 691*o - 1293*o + 639*o - 1685165. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/150964 and -37\/18870500.\nAnswer: 18870500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0.3, -0.5, -4, 35161?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.239583 to three dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*w + 5*r, -8 = 5*w + 5*r - 2*r. Let g be ((-4)\/6)\/(2*w). Let n = 0.08 + -5.08. What is the smallest value in n, g, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 55*n + 43*n + 38*n.\nAnswer: 148*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca7719 (base 13) to base 6.\nAnswer: -245550234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - (-14 + 11 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 286, 1121, 2522, 4495, 7046, 10181, 13906, 18227?\n\"Answer: p**3 + 277*p**2 - 3*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3 + (-5)\/(-3))*(-870)\/(-87).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-10))\/(4\/(-30)). Let p = -5\/476 - 3\/28. Let n = -191.44 - -193.44. Which is the closest to 1? (a) l (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) - (-23 + 15 + 8380\/(-100) + 25).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 57*w**2 + 43*w + 156. Calculate the remainder when y(57) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 704 - 2373 = 0. Calculate the remainder when 247 is divided by u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**3 - 65*x**2 + 14*x - 11. Let v be i(10). Let f = 374 + v. Solve -5*j - 5 = -4*j - 5*a, 0 = 5*j - f*a + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1457, 1461, 1465, 1469, 1473?\n\"Answer: 4*r + 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + -15 + 3 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/105 + w**6\/8 - w**5\/20 - 3*w**2 + 2*w. Find the third derivative of u(s) wrt s.\nAnswer: -48*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762561 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.073845 to three dps.\nAnswer: 1.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1.1, -2, -7\/2, 4, 0.2143, 6?\nAnswer: 0.2143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 220 = -3*h. Let k = h + 12. What is the tens digit of k\/(-3) - 10\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 28, 69, 126, 199, 288?\n\"Answer: 8*y**2 + y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 226 - 128.4417596\nAnswer: 97.5582404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/31, 2, -2\/25, 0.7, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(80)\/sqrt(10))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9216.789 millennia?\nAnswer: 92167.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*q**3 + 893*q**2 + 3984*q + 2880.\nAnswer: -(q - 5)*(19*q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6752669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) -4 (c) 2\/15 (d) 5 (e) 91 (f) 0.4 (g) 26\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122883221*x - 122883221*x + 19*x**2 - 20*x**2 - 150*x**3 - 63*x**3.\nAnswer: -213*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 276*p - 272.\nAnswer: -4*(p - 68)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = w - 2*j - 1551, 3*j = 5*w - 7701. Let k(v) = 27*v + w - 1542. Let l(t) = 4*t**2. Calculate k(l(z)).\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/32)\/((-26)\/(4576\/(-33)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006405 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*z**4\/4 + 34937*z**3\/8 - 1521631*z**2 + 290533989*z\/8.\nAnswer: -z*(z - 659)**2*(26*z - 669)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*(-54)\/648\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (658 + 1483 + 2402 - 602 - 612)*(-4*p**5 + 4*p**5 + 3*p**5).\nAnswer: 9987*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*177*-1. Let i = -23 - d. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(-v + 2*v - 6*v) + 7 + 4 - 2 - 2*v to the form w*v + x and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26573378.\nAnswer: 2, 13, 1022053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*q + 5, q + q = -2. Suppose m*k = 9, -5*z = -6*z + 4*k + 176. Is z a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 2, q: 3, t: 1, v: 5, w: 1}. What is prob of picking 1 q and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1062728, -1062938, -1063148, -1063358, -1063568?\nAnswer: -1063778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -24*u**3 - 177*u**2 + 426*u - 225 = 0.\nAnswer: -75\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Let x = k - 3.5. Let h = 0.187 - -0.813. What is the closest to h in -2, x, -5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30.00046. Round g to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*s + 382*s - 867*s = 978*s + 127701 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w + 10. Let h = 272 - 269. Which is the nearest to h? (a) w (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10206.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = -x. Let j = x - -8. Let m be (1\/(-2))\/(j\/(-50)). Solve l - m*l + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2168 - -2062 - (-1 - 41).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -174, -2, 4 in ascending order.\nAnswer: -174, -24, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -3\/4, 19\/3, -1\/61?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-32)\/(-246)))\/(3555\/9480).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 3*w + 1. Let h(t) = t**2 - 3*t. Let q(v) = 2*c(v) + 3*h(v). Let f be q(7). What is the units digit of (2 - 1) + f\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 10. Suppose 0*u + 2*u = 0. Calculate the remainder when 17 is divided by w(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 114 = 4*z. Solve 0 = 4*c + 1 + z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1317*q + 27621. Give x(21).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 294, -3, -5 in descending order.\nAnswer: 294, -3, -5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d - 1024. Let v = -250 - d. Solve -p - 2 = -v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120, -211, -276, -315, -328, -315, -276?\n\"Answer: 13*u**2 - 130*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43489725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 7. Let z be (24\/18)\/((-10)\/105). Calculate the remainder when d(z) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10207 = -4*a, -a = -5*a + 2*h + 10222. Suppose -13*m + 432 = -a. Is 46 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2234 + -1?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15251 - 3291 = -260*j for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11627 is divided by 550?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -26. Let u = d - 17. Solve 0 = -2*s + 2*o - u, -s - 2*s - 25 = -5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*z + 63*z - 4945 = -97*z + 43695 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1820644 divided by 455161\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 867.4577mm?\nAnswer: 86.74577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x - u - 5, 2*u = 4*x - 22. Let y = x + -3. Suppose y = -r - r. Solve -2 = 3*a - a - z, r = 2*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 7*w - 100. Let z = -45 - w. Let p(n) = -4*n - 59. Let h be p(-15). Put 0, -3, z, h in descending order.\nAnswer: z, h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 534388.\nAnswer: -1\/534388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104893470 and -9?\nAnswer: 944041230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 240 = 7*n. What is the greatest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303032621 - -1?\nAnswer: -303032620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.83 + -4.53. Which is the closest to -2\/7? (a) 1\/7 (b) 0.2 (c) n (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 - 23*c - 7. What is i(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*b - 22, 3*l - l + 5*b - 11 = 0. Let j = 6 + l. Let d be 3 + 2*2\/2. Sort j, d, -1.\nAnswer: -1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 - 4*f - 32. What is k(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/348*12\/(-8)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/24*k**4 + 0*k + 0 + 1\/6*k**3 - 2*k**2. Is q(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8521, 17121, 25723, 34327, 42933?\n\"Answer: n**2 + 8597*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 161*d**3 + 2*d**2 - d + 2. Let y(p) = -161*p**3 - 2*p**2 + 2*p - 3. Let b(a) = -3*g(a) - 2*y(a). Is b(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1049 * -0.2\nAnswer: 0.02098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m. Suppose -4*o - 4 = -3*p, 2 = -3*o + 6*p - 4*p. Let u(g) = 314 - 314 + g**o - 9*g. What is 4*u(z) - 9*w(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2 = -5*r - 20, -4*f - 5*r - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432769 to the power of 1\/2, to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 856*r**2*x**2 + 5*r**2 - 43867*r*x**4 - 6484730*r + 3 wrt x?\nAnswer: 1712*r**2*x - 175468*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b + 6. Let x be o(-7). Let y(f) = -f**2 - 7*f + 6. Let m be y(-5). Suppose 0*r - 4*r = -m. Calculate the greatest common factor of r and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2240)\/160*5\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -97\/2060, -5, -0.1 in descending order.\nAnswer: 1\/7, -97\/2060, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(1008) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)**2) + 2)*-5 + -2 + sqrt(1008)*-2 + 2 + 4).\nAnswer: -84*sqrt(7) + 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111011001101101 (base 2) to base 4.\nAnswer: -1033121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1919\/6, -3, 0.072, -1\/2?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211223 + 102212?\nAnswer: 320101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3942*h - 2240 = 3907*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5401*r - 5436*r + 420 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.4 (b) 3 (c) 0.1 (d) 2\/7 (e) -0.1166\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658122 is divided by 144.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2165 from -4515856.\nAnswer: -4513691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5 = -17. Let l be 7*((-12)\/(-21) - 0). Suppose 2*u = -l*b - 16, u - 3 - 3 = 5*b. Put d, b, -1 in descending order.\nAnswer: d, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99927, 99936, 99945?\nAnswer: 99954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-32) - (18\/8)\/(-1). Suppose l = -4*z + 60, -5 = l - 1. Suppose -2*o + 3 = -1. Solve -o*v - z = n*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2846 - -1422. Let o = n - -3224. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -297210722 - -440.894.\nAnswer: -297210281.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104.83 + 104.83000021842. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 18*z**3 - 5*z**2 + 3. Determine k(2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and -19\/375690.\nAnswer: 375690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5705, -11415, -17125, -22835, -28545, -34255?\nAnswer: -39965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -29. Let h(a) = -2062 + 2064 - 9*a - a**3 - 3*a + 8*a**2. Let z be h(6). Put z, -2\/5, 4, w in increasing order.\nAnswer: -2\/5, z, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*t - 3*k + 12, -3*t = 2*k - 28 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62661, -55999, -49337, -42675, -36013?\nAnswer: -29351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511920 and 588600?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810608 and 696?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -83\/12*k**4 + 0*k**3 + k + 0*k**2 - 22 + 14\/5*k**5. Find the third derivative of c(r) wrt r.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51953\/840 - -943\/15. Calculate the common denominator of p and (-60)\/150 - 223\/(-120).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168.5882+-0.01\nAnswer: 168.5782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207*b**4*m**2 - 1896*b**3*m**3 + b**3 - 4455208*b**2*m + 2*m**3 wrt b.\nAnswer: 4968*b*m**2 - 11376*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1216, 5064, 11538, 20638?\n\"Answer: 1313*a**2 - 91*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, g: 2, t: 1, s: 3, y: 5}. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let q(u) = -50*u**4 - 90*u**3 - 48*u**2 - 5*u - 3. Let d(k) = 6*g(k) + 2*q(k). Find w, given that d(w) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-10)\/(-8)) + 2. Let x be w + 10 + -1 + 1. Solve 0 = 2*q + q + 2*r + x, -5*q - 4*r = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**6 - p**5 - p**4 + 4*p**3 - 1216292*p**2 wrt p.\nAnswer: 480*p**3 - 60*p**2 - 24*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 12*u**2 + 11*u + 20. What is the tens digit of a(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(832) + 1)**2*4 - (((sqrt(832)*2)**2 - sqrt(832)) + -5)).\nAnswer: 9 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-6 + 20) - 2) + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m + 11. Suppose -5 = 7*p - 33. Let s(l) = l + 1. Calculate p*z(w) - 44*s(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*a*w**2 - 9*a + w**2 - 3 wrt w?\nAnswer: -152*a*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + h. Let x = 81 + -79. Let a(r) = -13 + 0*r**3 + r**2 + 2*r**3 + 0*r**3 + 5*r - 4*r + 10. Give x*a(k) - 2*z(k).\nAnswer: 2*k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 110. Calculate the greatest common factor of x and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678686 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: Determine h so that -h**5\/2 - 559*h**4 - 294067*h**3\/2 + 25064775*h**2 + 10641273750*h + 10616062500 = 0.\nAnswer: -450, -1, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1005, 1331, 2231, 3999, 6929, 11315, 17451, 25631?\n\"Answer: 49*t**3 - 7*t**2 + 4*t + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 196289.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1567.5 + 1568. What is the second biggest value in 3, f, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 5394466?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -459, -967, -1669, -2559, -3631, -4879, -6297?\nAnswer: -7879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 - 6*l - 23. Let x(v) = -7*v**2 - 6*v - 24. Let q(i) = -6*p(i) + 5*x(i). Let w(t) be the first derivative of q(t). What is w(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 32. Let d = 17.2 + -17. Let h = d + -0.7. What is the closest to t in 5, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164531 + 6?\nAnswer: 164540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23350881 and 1.\nAnswer: 23350881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5543*d - 715 = -5574*d + 1579 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*0.3.\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(110)\/sqrt(44)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 0*m**5 - m**5 + (m + m**5 - m)*(-2 + 6 - 6) + 10*m**2 - 9*m**2 + 4*m**5 + 12*m**4 - 11*m**4.\nAnswer: 3*m**5 + m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2828008 > -2828593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-22) - (-2)\/(-4)*-189. Let m = -80 + d. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*k - 17, 5*k - 4*f = -0*k + 60. Let c be (k*2)\/(22\/165). Suppose -2*u + 5*v + c = 0, v - 240 = -4*u + 2*v. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -145, -430, -987, -1906, -3277, -5190?\n\"Answer: -15*q**3 - q**2 + 5*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1248472 or 1248487?\nAnswer: 1248472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 317, 475?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -316.802364 rounded to two dps?\nAnswer: -316.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2. Let u(c) = c**3 + 6*c**2 + 7. Let x be u(-6). Let i be (2\/x)\/(2\/(-14)). Let p(s) = -s + 3. Calculate i*p(z) + 3*f(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -2. Let f = -46 + a. What is the common denominator of -57\/16 and ((-41)\/f)\/(6\/(-9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+224293\nAnswer: 224293.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*n + 5, -c + 16 - 27 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 19. Let w be (1 + 1)*(2 - (4 + f)). Solve -d + w = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15\/164 (b) 1 (c) 0.4 (d) -3 (e) -23.5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*-787614.\nAnswer: 54345366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 68 + 0*j**5 + 0*j**4 + j**2 - 49\/3*j**3 - 12\/7*j**7 + 0*j + 0*j**6. Find the third derivative of n(s) wrt s.\nAnswer: -1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2902*t**2. Let w(l) = -1870*l**2. Give b(w(x)).\nAnswer: 10148003800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3063 to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 3*g - 49 = 49*h, 0 = -2*h + 3*g - 7 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3 = -4*c + 7, 0 = c + 2*t - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.129 rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-2 - 2*b + 2) + 9 + 2 - 151*b - 10 to h + w*b and give w.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7074*b**2 + 5812*b.\nAnswer: 14148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 + o + 4. Let v(w) = w**2 - 1. What is -3*n(p) - 12*v(p)?\nAnswer: 6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4d640c (base 14) to base 10\nAnswer: -2667964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 31111?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5*r = 2*p + 150, -4*r + 54 = p. Calculate the lowest common multiple of 2628 and p.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 26002?\nAnswer: 26006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, -2\/9, 82, -5 in increasing order.\nAnswer: -5, -3, -1\/2, -2\/9, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5769, -23105, -51999, -92451, -144461, -208029, -283155?\n\"Answer: -5779*p**2 + p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -490, -979, -1468, -1957?\n\"Answer: -489*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 4, 4*y - 96 = 4*b. Suppose -24 = -23*q + y*q. Let w(v) = v**2 + 9*v + 2. What is w(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 5*d**2 - 3*d**2 - 3*d**2. Suppose -y = 2*f - 5, -22 + 20 = y - 5*f. Determine h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 73489.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7818, 31183, 70124, 124641, 194734, 280403, 381648?\nAnswer: 498469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*p**2 + 3 + 310*p**2 - 3 + 301*p**2.\nAnswer: -93*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(2\/1087)*-1. Let y = j + 22. Suppose -x + 1853 = 5*v, -2*v = -5*v - 2*x + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357734?\nAnswer: 2, 13, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-9\/2))**(-21) assuming s is positive.\nAnswer: s**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-9)*d)\/d**(-1\/15))\/(d**(-8)\/(d*d*d\/d**(-1\/3))) assuming d is positive.\nAnswer: d**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 4, 11\/15, 5, -2, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 5:28 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168286 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -22889960 and 1.\nAnswer: -22889959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32112321 + -22?\nAnswer: -32113003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 3587988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2003*v + 6312. What is q(3)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from zzhzhbwzowzwzwhwwowh?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111000 - -10101000111100?\nAnswer: 10011100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose -l*j = 3*j + 10. Let z = 5 + j. Solve z*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2752 and 101652?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 48. Let r(c) = -c**2 + 13*c - 3. Calculate the remainder when 35 is divided by r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15470007, 15470020, 15470033, 15470046, 15470059?\n\"Answer: 13*j + 15469994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3075, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 11*b**2 - 1818*b - 20047. Calculate h(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597488900?\nAnswer: 2, 5, 41, 61, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-144))\/(8\/6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -9 (c) -3 (d) -4 (e) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 26*s + 14. List the prime factors of z(-11).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6*s = 4*s - 12, 0 = s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -174. Let y(m) = 3*m - 6. Let r be y(j). What is the greatest common factor of 57 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -815 + 815 - 48*z**2 + 265*z**2 + (-2*z - 5*z + 6*z)*(z + 2*z - z) + 2*z**2 + 5*z**2 - 2*z**2 - 5*z**2 + 4*z**2 + 3*z**2.\nAnswer: 222*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiyydi. Give prob of picking 1 a and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03791 - 12\nAnswer: -11.96209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - (-68 - -2) - (-137 - (6 - 2))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01988515 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -3\/5, 0.4, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.4, -3\/5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -401, -398, -393, -386?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 3, p: 4, b: 2}. What is prob of picking 2 p and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvttvvtvzzz. Give prob of picking 3 z and 1 v.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*o + 1. Let i = -2 - o. Suppose 0 = -2*c - i*c + 44. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 986*d**3*n**3 + 5946160*d**3 + 4176*n**2 wrt n?\nAnswer: 2958*d**3*n**2 + 8352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1347 and 64\/627?\nAnswer: 281523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 17 = -h, -46 = -4*h + 47*s + 295 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(226\/476 + 1*30\/(-255)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 28\/12 + 0. Let d = -0.1 - 0. Which is the closest to d? (a) -2\/7 (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + 1863. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) 1\/2 (c) 5\/12 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17850.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12862201*v + 3860514 wrt v.\nAnswer: 12862201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 46*i - 408. Let z be s(-27). Which is greater: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -40, -50, -54, -46, -20, 30?\n\"Answer: g**3 - 6*g**2 + g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83a9 (base 15) in base 11?\nAnswer: 19a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73467 and 3?\nAnswer: 73467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508585 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 54\/7 - 4. Which is the third biggest value? (a) f (b) 6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 0.1. Let o = 11.4 - 11.1. What is the closest to -2\/3 in 4, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let c(g) = g + 0 - 1 - q*g. What is the remainder when 5 is divided by c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -424 - -439 - (-102)\/(-4).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(171) + 5) - -4*sqrt(19)*2 - ((sqrt(209)\/(-1*sqrt(11)))**2 - sqrt(1216)*1).\nAnswer: -24 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (128 + 149 - 250)*(3*v + 0*v - v)*(-v**2 - 3*v + 0*v**2 + 0*v**2) as l*v**3 + h*v + c + i*v**2 and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, f: 2, a: 3, q: 3}. Give prob of picking 1 a, 2 f, and 1 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18\/81 + -52*5539\/(-27144)\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/4) - (6 + -5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138386*j*v**3*z**3 - 11896*j*v**2*z**3 - 3*j*v**2*z - 23*j*z**2 - 147*v**3*z**3 + 3*v**2*z**2 + 3*z**2 wrt v.\nAnswer: 830316*j*z**3 - 882*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.93777 + -371.02977. Let s = i - -369. What is s rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 - 77?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*a - 126, 3*a - 164 = -l + 3*l. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwd when three letters picked without replacement from ulddw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(84) + sqrt(84))*1)\/(sqrt(48)*-3 - sqrt(12) - sqrt(12)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36385065.\nAnswer: 3, 5, 269519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -65, -18, -7, -3, 2 in ascending order.\nAnswer: -65, -18, -7, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5387, -5411, -5431, -5447?\nAnswer: -5459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*(-3 + -1). Let l be (2 + -3)*(p + -9). Calculate the remainder when 20 is divided by (-8)\/(-14) - (-73)\/l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -1805*o**4\/24 - 409*o**3 + 70*o**2 + 5*o. Differentiate v(z) wrt z.\nAnswer: -1805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:57 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112273713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12943682 and -0.061204883.\nAnswer: 12943681.938795117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 705 and 118205.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000518613 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178307 by -1.\nAnswer: -178307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 19*v - 4*h = 331, 7*h - 30*h - 2812 = -4*v + 13*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55866 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 8*p - 10. Let o be m(-6). Let z(a) = -6*a + 10. Let s be z(o). Let l = s - -9. What is the remainder when 34 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**4*v - 4*t**4 - 16*t**3*v - 173*t**3 - 4*t**2 - 63292*v wrt t.\nAnswer: -120*t*v - 96*t - 96*v - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39344 and 147040823.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9847.5 times -9?\nAnswer: -88627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3606 + p**2 + 3606 - p. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 20*a**5 - 24868*a**4 + 10371644*a**3 - 1489136620*a**2 + 15707938256*a - 6045576592 = 0.\nAnswer: 2\/5, 11, 389, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**4 - 2\/5*y**5 - 91 + 0*y**3 + 33*y + 0*y**2. Find the first derivative of f(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/5)*n*n\/n**(2\/19))**30 assuming n is positive.\nAnswer: n**(1764\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 0*t + 0*t - 5 + 5 + t**2 + (-3*t**2 + 2*t**2 + 0*t**2)*(-3 + 0 + 1) + 158*t**2 + 9*t**2 + 117*t**2.\nAnswer: 289*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 119*i**2 - 44*i - 135*i**2 - 55*i**2 - 251*i**2.\nAnswer: -322*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 114*i - 32*i**2 - 22*i**2 + 34*i**2.\nAnswer: -38*i**2 + 114*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)*c\/c**5*(c**(-2\/11))**(-5\/8) assuming c is positive.\nAnswer: c**(-1451\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - k**2 - 5*k**2 + (k - 1 + 1)*(-2*k + 0*k + 0*k) + k**2 + 0*k + 3*k + k + (k**2 + 0*k + 0*k)*(1 - 4 + 1) + 3*k**2 + 4 - 4 - 13 + 13 + 8*k**2.\nAnswer: 5*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 20. Let j be (-46)\/6*(r - -2). Calculate the greatest common factor of j and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34303952413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420 + (-1)\/(-5 + (0 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + -4 + 6*sqrt(192) + -5 + -3 + -3 + sqrt(3) + -2)**2.\nAnswer: -1862*sqrt(3) + 7564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -22*r**2 + 200*r - 178. Let l(y) = -5*y**2 + 50*y - 45. Let d(n) = n**2 + 17*n + 51. Let t be d(-5). Let o(k) = t*l(k) + 2*s(k). Factor o(p).\nAnswer: (p - 49)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*a**2 - 2789460 + 2789460.\nAnswer: 1859*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*b - 33. Let q = -17 - -10. Calculate the remainder when b is divided by q\/((6\/(-2))\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*g - 2*n, -n + 25 = 4*n. Calculate the remainder when 20 is divided by ((-9)\/3)\/3 - g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 147534?\nAnswer: 147534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 23. Let z(u) = 6*u + 67. Let l(i) = 7*f(i) + 2*z(i). Calculate l(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*i - 368*i + 16*i as y + d*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/((-18)\/162)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gooosssggtg. What is prob of sequence gst?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*a - 9, 0 = 5*p + 2*a + 3*a. Let v = p - 1. Suppose v = -d - 1 + 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 5*m**2 + 3*m - 4. Let q be t(-3). What is the second derivative of 2*o**q + o**5 + 3*o + o**5 wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2337928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/9)\/i**(-1\/4))\/(i**4*(i*i**(-3\/7))\/i))**(2\/107) assuming i is positive.\nAnswer: i**(-725\/13482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 3:27 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 12. Let q be z(3). Suppose j - q*j + 270 = 0. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 11*s + 2*l + 12, 0 = 5*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.43 + -3.93. What is the closest to 37 in -2\/5, l, 0.03, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 684629.29 - -8762.71. Let f = h + -694005.269. Let t = f - -614. What is t rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164772449?\nAnswer: 17, 9692497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d**3 + 116*d**2 + 806*d - 9596. Give r(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 153\/4. What is the third biggest value in 2\/11, v, -18, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -7\/12*w**4 + 0*w**5 + 7\/30*w**6 + 0*w**3 + 0 + 0*w**2 + 5*w. What is the third derivative of t(n) wrt n?\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 6150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 1130321032?\nAnswer: -1130321221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*u**2\/4 - 41617713*u\/4 + 3783429\/2.\nAnswer: -3*(u + 1261143)*(11*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = -9. Let d be (9 - (-82)\/(-10))*5. Put d, 5, 18, y in increasing order.\nAnswer: y, d, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - j**3 + 8*j**3 + 9*j**3.\nAnswer: 16*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 1675 = -6411. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -227*t**2 - 3*t - 5. Let q be b(-2). Let r = q - -19036\/21. Find the common denominator of r and (-18)\/(-864)*-109*2.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v - 6. Let o(x) = -127*x + 7. Let t(c) = 275*c - 15. Let s(w) = -13*o(w) - 6*t(w). Calculate i(p) - 4*s(p).\nAnswer: 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let w(h) = -203*h - 35. Determine w(j(i)).\nAnswer: -406*i - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.06, 15.2, 2, 0.3, -1\/15, 1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/36 + (26759\/4)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose 4*o = -2*b + 12, r*o - 3*b - 2*b + 4 = 0. Let u be o*1*(-1)\/(-1). Solve l + u*l = -15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - z = 1673, -3*r - 2*r = 5*z - 2110. Let q = r + -128. Suppose 4*j - 4*m + 5 - 209 = 0, 0 = -5*j - 4*m + q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(7200)*-1 - sqrt(7200) - sqrt(7200)))\/sqrt(10).\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1271 and 5489449?\nAnswer: 5489449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20051 is divided by 20047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 293*i**2\/5 + 292*i\/5.\nAnswer: i*(i + 1)*(i + 292)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/35*(-180)\/74 - (-1 + (0 - 5))?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2 + 2. Let m be v(0). Let u(p) = -2*p - m + p + 0. Let n be u(-3). Is n >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 + 7*w - 8. Let r be n(5). Let i be (r + -1 + 8\/(-6))*-12. Suppose -7*o + 73 = -32. Solve 0 = i*x - x + o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 4*b - 5*l, 3*b + 4*l + 12 = -0*l. Let i = 1 - -1. What is the nearest to -0.1 in b, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 5 = -45*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -22*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96\/(-20))\/(-4) + -2. Let h = 14 + -29\/2. What is the third smallest value in h, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + sqrt(15)\/sqrt(3))**2 + -4.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 14 = 4*m, 0 = 5*l + 2*m. Let j(r) = r**2 + 3*r - 3. Let n(h) = -4*h**2 - 11*h + 13. Let d(w) = l*n(w) - 9*j(w). Give d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*g = -p + 12, 4*p + 3*g - 14 = 0. Let i be (5 + (-55)\/5)\/(-2). Suppose -p*h - h + i*b + 3 = 0, -4*h + 4 = -3*b. Solve -h - 3 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -561144354787 - 6.43\nAnswer: -561144354793.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 1)*(2 - 1). Let i(g) = -g - 2. What is the units digit of i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1946 - (-3 + 6 + 2). Suppose -61*w + p = -58*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*t**3 + 458*t**2 - 458*t**2.\nAnswer: -350*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*m**3*v*y**2 - m**3*v - m**3*y - 2*m**2*v**2 + 74*m*y - 935860*v**2*y**2 - 14356*v**2*y wrt y.\nAnswer: -42*m**3*v - 1871720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1.12 (b) 7866 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -839, -1219, -1597?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47226672 and 810?\nAnswer: 708400080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 761579376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143.7 + 81. Let a = p + 59. Let v = a - -11. Round v to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21087.01883 + -21087. What is u rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 1209*h**3 - 5 - 1216*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1955051*f*w**5 + 5*f*w**3 + 2*f*w + 2*f + 8353*w**2 - 6*w + 15 wrt w?\nAnswer: -117303060*f*w**2 + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 612 - 661.6. Let n = v - -50. Sort -1\/3, 0, 3, n.\nAnswer: -1\/3, 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24290.\nAnswer: 2, 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x - 101. Determine h(11).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56738835*t - 1446420 with respect to t.\nAnswer: -56738835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2, -209 + 14 = 3*l + 3*o. Let p be 11 + -13 - (32 + 0). Let z = p - l. Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 13282704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 23 + 5)*(7*x + 2 - 2)*(-3 + 4 + 1) in the form c + a*x and give a.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -30, -27, -12, 21?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - (-1 + (-100)\/8). Let k be y - 10 - 11\/1. Is -7 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 25 + 5 = 0. Let w = q - -12. Suppose z = -1, w*z = -0*b - 4*b + 66. Calculate the remainder when 49 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(931) + -1 + sqrt(931) - sqrt(931)) + 3 + (sqrt(931) - (-3*-2*sqrt(931) + sqrt(931)))))**2 + (-5*(sqrt(1539)*-1 + sqrt(1539) + 0)*-1)**2.\nAnswer: -140*sqrt(19) + 23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.61 and 25217394.\nAnswer: 25217407.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((389 + q + q - 386)*(2 - q**3 - 2) + (-3*q - 2*q**3 + 3*q)*(-q - 2 + 2) + 0*q**3 + q**4 + 0*q**3)*(1 - 1 - 4).\nAnswer: -4*q**4 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -62077 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 + 5. Let a be z(-4). Let d = -50 + a. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -52, -15, 48, 143, 276?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6028034353 to the nearest integer?\nAnswer: 77640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224946, -225003, -225060, -225117, -225174?\nAnswer: -225231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 - 36 = 0. Let f be 2\/r - (-17)\/4. Let v be (4\/60)\/(2\/f). What is the second biggest value in -1\/10, v, -0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828887 is divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let l = -26 + 27. Let y(t) be the third derivative of -t**4\/24 + 5*t**3\/6 - t**2. Let b(h) = 1. Let g(r) = l*y(r) - 5*b(r). Determine s(g(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7622149*a - 2769042 wrt a?\nAnswer: 7622149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -378\/13 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 25, 3*i = i + 2*w + 26. Suppose 3*z + 8 = 4*c + 2*z, 0 = -5*c - z + 19. Let g be (2 - c)*i*-1. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*h = 106*h + 91*h - 85 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-16))\/(3\/2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(33\/(-2)))\/(((-12)\/(-4230))\/(1\/(-5)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - j = 32, 15 - 3 = 3*j. Suppose o*p - 4824 = 4896. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -58019*q + 406129. Calculate i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*p**2 - 1)*(-21*p**3 - 920*p**2 + 920*p**2) + p**2 - 2*p**5 - p**2 + (-5*p**2 + 0*p**2 + 4*p**2)*(p**3 - p**3 - p**3).\nAnswer: -43*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 2 + f**4 - f**2 - 9*f**3 + 0 + 3*f**2 to the form h*f + y + l*f**3 + o*f**4 + q*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - j - 3 = -7, -m + 3*j + 8 = 0. Let r = m + -1. Suppose -d + 0 = -7. What is the remainder when d is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 61, 29, -5, -41, -79?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 6*d - 4*d)*(d + 3 - 3) - 8*d**2 + 38*d**2 + 12*d**2 - 3*d**2 + d**2 + 4*d**2 + (d + 0*d + d)*(-d - 3*d + 2*d).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -1.4\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137355375 divided by 874875.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + 4, -2*o + 2149 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372216 is divided by 132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*s - 479, 14*l = 11*l + 3*s - 477. Let d = -156 - l. Solve -d*v - 4 = 3*y, 4*y = v + 10 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104102 (base 8) in base 7?\nAnswer: -2344652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 334\/6 + (-3)\/(-9). Suppose 2*o - s = 12. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 - 3*b - 4. Let d(a) = a**3 + 8*a**2 - 2*a - 3. Let o(r) = -7*d(r) + 6*v(r). Give o(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2014 in 0.22, 1, 2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114411 divided by -114411?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14711911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 162*p + 3. Give i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 43. Let k(p) = 1. Suppose c - 6*c - 5 = 0. Let l(n) = c*f(n) - 4*k(n). Differentiate l(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 501? (a) 1\/2 (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2\/5 - 1368*i\/5 + 8064\/5 = 0.\nAnswer: 6, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -52. Let q be 4\/(-14) + 148\/28. Solve -2*k + 0*h - h = q, 5*k + t = 2*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267663 and 243330?\nAnswer: 2676630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 9. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168, 74, -70, -252, -460, -682?\n\"Answer: 2*g**3 - 37*g**2 + 3*g + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*sqrt(45))**2*6*1)*3.\nAnswer: 20256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4276 - 46. Suppose -u = -35*y + 20*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6012*i**2 - 15783*i**2 - 3346 + 669 wrt i?\nAnswer: -19542*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10075*v + 12829*v - 1575*v + 3574*v in the form q + y*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 116*i**2 - 748*i - 1936.\nAnswer: (i + 2)*(i + 44)*(3*i - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -145. Sort q, 3\/4, -0.3, 3 in descending order.\nAnswer: q, 3, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102003430 (base 5) in base 4?\nAnswer: -1213013131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let n be 5 + (-6)\/(1 - y). Factor -n*f + 4*f - 3*f + 5*f**2 + 2*f**3 - 5*f**4.\nAnswer: -f*(f - 1)*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 884*s**2.\nAnswer: -2*s**2*(s - 442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -649132 divided by 6\nAnswer: -324566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609529303?\nAnswer: 137, 4449119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -561537.8131 rounded to the nearest one thousand?\nAnswer: -562000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 + 9*p - 12*p**2 + 19*p**2.\nAnswer: -2*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3))\/(r*r*(r**(32\/3)*r)\/r)*(r**(-1\/4))**(-40) assuming r is positive.\nAnswer: r**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 186*d. Let p(c) = 101*c - 395*c + 94*c + 90*c + 95*c. What is f(p(a))?\nAnswer: -2790*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 - 9*k**2 + 27*k - 19. Calculate f(3).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -84 + (-5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 112, 2031, 7238, 17377, 34092, 59027?\n\"Answer: 274*w**3 + w - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*i + 55, -64 = 3*i - 3*s - s. Let u = -11 - i. Suppose 33 + u = 2*m. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 447 in ascending order.\nAnswer: -6, -4, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1926 and 116687994.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*o + 41. Let h be (o\/36)\/((-1)\/(-4)). Factor -3\/4*t**2 - 1\/4*t**4 - t + h + t**3.\nAnswer: -(t - 2)**2*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11691583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 2*q = -3*q + 1028657. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975726 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 55, 48, 41, 34?\n\"Answer: -7*l + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 60 = -31*s. Suppose s*h + 100 - 2330 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 6. Let j(f) = f + 20. Let y be j(10). Let u = 38 - y. Suppose -6*c - 11 = -4*k - 3*c, k + c = u. Determine l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 36*i**2 - 41*i - 12. Determine c(37).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 2*c - 20, 2*g + 14 = 4*c. Calculate the lowest common multiple of 1 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138290?\nAnswer: 2, 5, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 1316629*l\/6 + 658315\/3.\nAnswer: -(l - 1316630)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.3. Put x, -2\/9, -0.3 in increasing order.\nAnswer: -0.3, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79, -91, -115, -157, -223, -319, -451?\n\"Answer: -v**3 - 5*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -1\/336*k**8 + 0 - 1\/60*k**5 + 0*k**4 - 1\/40*k**6 + 0*k + 2*k**2 + 0*k**3 - 1\/70*k**7. Factor p(f).\nAnswer: -f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -39*a**4\/4 + 2946*a**3 + 10083*a**2\/4 - 6366*a + 909 = 0.\nAnswer: -2, 2\/13, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 4070.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 110*z - 61. Let b be m(36). Suppose -2*i - 82530 = -b*i. Round i to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011200022 (base 3) in base 5?\nAnswer: 11224300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (7 - 12) + 5 + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -4 (c) 0 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -95548.\nAnswer: 1\/95548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -6.2. Let z = 1\/467 - -1399\/934. What is the closest to -1 in 6, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {c: 2, j: 4, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 91809503 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: What is 52 divided by -5?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -2, 41.\nAnswer: -14, -4, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -758501 - 8099120\nAnswer: -8857621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4480462*i*s**2 - 1218535*i*s - s**2 + 7*s wrt s.\nAnswer: -8960924*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-8)\/(-4)) + 6. Suppose 0 = 5*m + 4*s - 254, -4*s = -p*m + s + 245. Let x be (-3)\/(-9)*3*m. What is the greatest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 79699.\nAnswer: 199247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 = 48*u - 1162. Which is the nearest to -2\/3? (a) 2\/9 (b) -10 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 times -8947\nAnswer: -384.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.97 (b) -3 (c) 0.5 (d) 0 (e) -7 (f) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 5:30 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyymyymym. What is prob of picking 3 y?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*((sqrt(342)\/(3*sqrt(6)) - (sqrt(627)\/(sqrt(11) + sqrt(11)*2) - sqrt(57)))\/(4*3*sqrt(147)))**2.\nAnswer: 9389\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*j - 3*w, 19 = j + 2*w + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 127776*p**3 + 8 - 39.\nAnswer: 127776*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -508634132?\nAnswer: 508634128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 8*l + 21*l to the form i + d*l and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -568560974?\nAnswer: 568560955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + r + 1. Let w = -48 + 47. Let k be o(w). Suppose -8*h + 124 = -k*h. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1495 + 4105 = 87*j. What is the highest common divisor of 22730 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-1 + 2) - 0. Let q = 2 - g. Suppose -4*u - 1 - 5 = -3*p, q*p + 4*u - 10 = 0. Is 3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*x**2 - 4*x - 442*x**2 + 4*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 6*j - 69 = r, 0 = 5*j - 3*r + 15. Suppose 2*o - 1 + 3 = 0. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from ooooooouooououoouu.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 88, 121, 156, 193, 232?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2)*t)\/(t*t\/(t\/(t\/t**1))*t))\/(t*t*t**(-2)\/t)**(1\/4) assuming t is positive.\nAnswer: t**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1742496*h. Let v(y) = y. Determine v(t(f)).\nAnswer: -1742496*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 58*t**2 - 17*t - 4. Calculate the remainder when 67 is divided by y(19).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/60*b**5 + 1\/8*b**4 + 1\/3*b**3 + 1\/60*b**6 + b**2 + 0 + 0*b. Suppose -5*i + 3*f - 10 = 0, i = 21*f - 20*f - 2. Give q(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/10 - ((-1)\/2 + 0). Suppose 2*z + 7*f - x*f + 30 = 0, 0 = -4*z + 4*f. Which is bigger: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 1090315*l - 1090299*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from gogdgecgeodo?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1, 119, -124, -1, -5 in increasing order.\nAnswer: -124, -5, -1, 1, 46, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times -230?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 20\/8. Let r = -1 + 148. Suppose k = b*k + i - r, 5*k = 3*i + 703. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-10)*210\/(-9). Let b = u - 10. Suppose j = -4, 5*y + 2*j + 40 - 462 = 0. What is the remainder when y is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(88)\/sqrt(72)*-4)**2*-5 + 4 + ((2*sqrt(99) + -1)**2 - sqrt(99))*6).\nAnswer: -71816\/9 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 6 (c) 9505361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/(x*x**(-1\/2)\/x*x))))\/x)**(-36))**1 assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 30*j - 13760 = 116*j + 82*j for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**2 + 1515*j - 15066.\nAnswer: 3*(j + 81)*(7*j - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 73*o**2 + 42*o + 246. What is the units digit of c(72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -139) + -237 + 197.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (3 + -2) - -5. Suppose 0 = -4*b - 5 + 13. Suppose 6*q = -3*q - 0*q. Put b, j, q in ascending order.\nAnswer: q, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/42 + 4\/14. Let p be (3\/(-182))\/((-3)\/808). Let s = p + -54\/13. What is the nearest to -0.1 in d, 0.5, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 + 2*d**2 + (4*d + 8*d - 24*d)*(6*d - 2*d - 2*d).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18*1*-1. Let u be (-5)\/(1 - 0)*130\/(-325). Let f be ((-2)\/(-6))\/(5\/(-3)). What is the second biggest value in j, f, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 3. Let h be y(0). Solve -h*d - 20 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -11, -21?\n\"Answer: -10*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*n = 58*n + 1624 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2962*c - 2955*c - 4*x = -25, 0 = -3*c - 4*x - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (-3 - 5))*1. What are the prime factors of 1 + 154 - (m - 23)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39314864?\nAnswer: 2, 2457179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 11*g + 4*g - 13*g)*(-14*g - 4*g - 5*g).\nAnswer: -46*g**2 + 989*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/s**(2\/19))**(4\/11)\/(s*s\/(s*s**(-1\/5)*s)*s*s*s\/s**5*s*(s**0*s)**11) assuming s is positive.\nAnswer: s**(-75653\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 928, 935, 954, 991, 1052, 1143?\n\"Answer: v**3 + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 63 = -7*o + o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(20)\/(-3*sqrt(4) + sqrt(4)))**2 - (sqrt(40)\/((-1*sqrt(88))\/sqrt(11)))**2) + -5)*3.\nAnswer: 15*sqrt(5) + 195\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b + 2. Let n be o(-4). Let w = n - 1. Suppose -5*p = 3*t - 16, 3*t = 8*t + 15. Is p > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -4*p - 2*w + 24, -w + 3 = 2*p. Let c be 3\/(((-63)\/(-6))\/7). Suppose 2 = 4*y - c. Put p, -1, y in ascending order.\nAnswer: -1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (-51 + -1) - (17 - (2 + -3))) + -17?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1627 + 1628.302. Let w = -0.192 + g. What is w rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = -2174 + 2554. Calculate the remainder when 534 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -3*y + 3*n, 0*y - n = 2*y - 372. Calculate the greatest common divisor of 3266 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 2\/27, 4\/3, 1\/10, -54\/7, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n*t**2*u + 3*n*t*u - 2*n + t**2*u + 247*t**2 + t*u + 31*t wrt t.\nAnswer: -4*n*u + 2*u + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/12 - 9\/((-540)\/59645)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -12\/23, 0.06, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 8. Let k be d(6). Let z(t) = -4 + 4*t - 5*t**k + 7*t**2 + t**2 + 11*t**2. What is the tens digit of z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*b**3 - 13262*b**3 + 1742*b**3.\nAnswer: -11929*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1804, -7187, 1, 2, 3.\nAnswer: -7187, 1, 2, 3, 1804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*s + 591*s = -3*l + 9, 5*l = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 - 5*o. Let w(l) = 8*l**3 + 4*l. Suppose 9 + 32 + 22 = -21*j. Determine j*w(y) - 4*f(y).\nAnswer: 4*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*l + 5*l - 5*l)*(-4 - 3*l + 4) - 2*l**2 + 2*l**2 + l**2)*(2 - 2 - 9) to n + a*l**2 + i*l and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16358 is divided by 167.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n. Let l(b) be the first derivative of 3*b**2 - 15. Determine l(j(g)).\nAnswer: -84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 46, 34, 18, -2, -26?\n\"Answer: -2*r**2 - 2*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583725959 to the power of 1\/2, to the nearest integer?\nAnswer: 50830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let d(a) be the second derivative of 0*a**3 - 1\/8*a**4 - a**2 + 0 - a. Let g(u) be the first derivative of d(u). Calculate y(g(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128.407 and -4597?\nAnswer: -590286.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(78) - sqrt(78))*2)\/((-2*sqrt(726) - sqrt(726) - sqrt(726)) + sqrt(12)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6469214 + -0.2369268. Let x = -0.41 + o. What is x rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 435, 507, 579, 651?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101259167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98.89 - 96. Let i = l - -0.11. Let r = 3.00000006 - i. Round r to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1020 and 15300.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let m be 2\/3 + (v - 0). Factor -2\/3*u**4 - 2\/3 + 8\/3*u**3 + m*u - 4*u**2.\nAnswer: -2*(u - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18124.\nAnswer: 2, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2. Let m be x(5). Suppose m = -0*s - 4*s + 24. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 - -122. Let q be 512\/a + (-6)\/14. Sort -2, q, 1.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let a(d) be the first derivative of 11\/2*d**2 + 6 + 0*d. Calculate a(m(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeg. Give prob of picking 1 g and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a82 - -1360?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 - 38*a - 45. Calculate j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 861, 1936, 3419, 5292, 7537, 10136?\nAnswer: 13071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10 + 339\/33) - -10)*-20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 + 4*t**2 - 120*t - 5*t**2 - 12*t**4 + 30*t**3 - 4*t**2 + 7*t**4 + 53 = 0 for t.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -52. Let k be 14\/(-35) - 17\/d. What is the tens digit of ((-4)\/(-10))\/((-1258)\/420 + k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 18 = 0, -53*h = 97*m - 26*h - 32*h - 149 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i - 3. Let d be u(3). Let x be (5\/d)\/(2\/6). Which is the nearest to 0? (a) -2\/11 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 21. What is the second biggest value in b, 5, -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(2 - 1 - 2) + 2 - 2 - 2)*(0*j + j - 2*j)*(j**3 + 3*j**3 - 2*j**3 + (3*j - 4*j + 0*j)*(0*j - 2*j**2 + 0*j) + 27*j**3 + 239*j - 239*j).\nAnswer: 93*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4429, -4537, -4731, -5011, -5377?\nAnswer: -5829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159587.0069377 - 159587. What is s rounded to five decimal places?\nAnswer: 0.00694","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(76)\/(sqrt(16)\/sqrt(4) + sqrt(4) - sqrt(4)))*2.\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 7\/4. Suppose 2*c - c = -5*h + 25, -2*h + 4*c = 12. Solve o*f + 3*w + h = 8*w, 14 = 2*f + 4*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17498781?\nAnswer: 3, 739, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1851)\/(-4) - (-4)\/16. Suppose -b = -5*n + 479, 0 = -n - 4*n - 3*b + z. What is the greatest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-6)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17651 is divided by 490?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224258 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 4*g - 3*g + 3*g - 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4))**(-17)\/(m*m**(-2\/101)*m**16) assuming m is positive.\nAnswer: m**(-10300\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 + 6 = 0. Let f be (-6)\/(-9) + 145\/3. What is the greatest common divisor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 - d. Let i be v(-4). Let g = 0.3 - -0.1. Which is the smallest value? (a) -0.2 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5665\/8493 + -1\/2831. Which is the closest to u? (a) 1 (b) 3 (c) 77\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -18. Let h(s) be the first derivative of 0*s**2 + 2\/3*s**3 + 3 + d*s. Let w(f) = f**2. What is h(w(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(368\/(-32) - -31)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:51 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)*i\/(i**8*i))\/(i**(2\/5))**(-18\/13)*(i**(-9)*i**(1\/10))**(2\/47) assuming i is positive.\nAnswer: i**(-53813\/6721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 7*q - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:53 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 7616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {e: 1, b: 5, v: 3, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3284866 divided by -10\nAnswer: 1642433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 15*d**3 + 7 + 22*d**3 + 6045*d**2 - 6044*d**2 to y*d**2 + h + z*d + c*d**3 and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-500)\/238*8*4\/(-184). Let x = -2\/161 + g. What is the closest to x in 2\/21, -0.5, -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 + 11*y**3 - 4*y**3 - 4*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*p - 5*p**2 + 88*p + 5*p**4 + 2*p**4 - 45*p wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 24 = -29*a. Suppose 2*p = 6*p - 660. Find the common denominator of (a\/4)\/((-75)\/p) and 1\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 616335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at least as big as 6664\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1824 divided by -6\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((6 - -15) + 1)) + -2 + -1 + -10?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n**2 + 2*n. Let w be f(2). Let x(s) = -s**3 - s**2 - s - 1. Let z be x(w). Let v = 1 + z. Solve v = -3*o - o - 4*t - 32, 4*t + 12 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -131. Suppose 7*k + 9*k = r. What is q in -q**4 - 9*q**2 - 2 + 37*q + 5*q**k - 16*q - 14*q = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 11. Let b = k + 22. Suppose 10*n - 20*n + 110 = 0. What is the remainder when b is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -25199*g**3\/3 - 2*g**2 - 5*g + 1. Let i be n(5). Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(192) + -3 + sqrt(192))**2.\nAnswer: -96*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2512.2 - 2512. What is the nearest to 0.14 in o, 4\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-75)*10 - 4\/5. Suppose 5*y - 20 = 4*s, v*y - 17 = 4*s - 1. What is the remainder when y is divided by 2 - (-1 - 2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-255))\/((-2)\/18). What is the closest to -2 in 0.5, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13256532 is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3961621605, 3961621604, 3961621603, 3961621602, 3961621601?\nAnswer: 3961621600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14001*j + 15 = -13998*j. Let f(m) = 12*m**2 + 11. Let a(p) = p**2 + 1. Let h(g) = -44*a(g) + 4*f(g). Let b be h(1). Sort -9, b, j in descending order.\nAnswer: j, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - 3*g**2\/2 + 2*g + 301. Let k(o) = 5*o. Let m be k(2). Suppose 0*j + 2*j - m = 0. Calculate q(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 12, -411869 in decreasing order.\nAnswer: 12, 4, -3, -411869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/2708131 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555023 (base 8) in base 12?\nAnswer: 197a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.34, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1908+205940\nAnswer: 207848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from kkkkkkgywkgklkrwwgy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3*f**3 - 80 + 27 + 24.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 306005 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/7 and (-6)\/21 - (-824)\/42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 42 = 0. What is the third derivative of 27*y**5 - j*y**5 - 2*y**2 - 10*y**5 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110124422 (base 6) to base 12.\nAnswer: 7b0712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -a + 6*a - 6, -f = -5*a + 9. Suppose -f = -h, -2*h = 3*t + 2*h - 49. What is the remainder when t is divided by (-25)\/(-2)*(-12)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-24)\/5 - (-14)\/70. Solve -4*s + 14 = s + 3*c, -3*s - r*c = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-40 - 13547\/(-342))\/((-21)\/45))\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66 and 9424?\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*n**2 + 72279262*k*n - 1048*n**2 + 20114 with respect to k.\nAnswer: -n**2 + 72279262*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27024 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*z + 2359 = 187*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d, -5*l - 20 = 2*d. Do -5 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67917826 and 1349863?\nAnswer: 15167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 7*d + 9. Let k be a(-6). Let i be (-9)\/k + 13*7. Let g = -54 + i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*r + 0 + 9 = a + r, 5*r = 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 717938 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/44 or 0?\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from feefpfeubpbppbuf?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 5. Let x be l(-8). Suppose -5*w + 62 = -x*w. Suppose 5 = -g + 4*u + 4, 2*g = -2*u + 28. What is the remainder when w is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.35613km to millimeters.\nAnswer: 7356130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11275 - 11274. Let h(c) = -18*c**2 - c + 2. Calculate h(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36105680, 72211360, 108317040, 144422720?\n\"Answer: 36105680*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5737555 and 46\/265?\nAnswer: 304090415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2521, -2463, -2405, -2347?\n\"Answer: 58*r - 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 29 - 29)*(4 + 2*b - 4)*(0 - b**3 + 0).\nAnswer: 246*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 830418, 830412, 830400, 830382, 830358, 830328?\n\"Answer: -3*t**2 + 3*t + 830418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h*h**(-1\/4))\/h)*h))\/((h\/(h\/(h*h**(-1\/2))))\/h))**(1\/15) assuming h is positive.\nAnswer: h**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -164056 divided by 285\nAnswer: -164056\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-2\/17)\/n*n)\/n*n*n)\/n)\/(n*n**10))**(1\/2) assuming n is positive.\nAnswer: n**(-189\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 = 2*q, 41*q = 5*s + 46*q + 177 - 167 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2159334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -112*r - 1237. Let o be m(-11). Let u(k) = k**3 - 6*k**2. Let h(b) = -2*b**3 + 11*b**2. Give o*u(v) - 2*h(v).\nAnswer: -v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9491.3 + 9491.4. Let o = -7.98 - -8. What is the fourth smallest value in o, 0.04, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*a + 2415632, 5*d - 941936 = -2*a + 668424. What is a rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25104 is divided by 24158?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-4)\/(-42))\/2). Suppose 0 = 5*g - 2*b - 21, -x + 6 = -3*g + 2*b. Let r = -8.1 + 8.5. Sort -0.1, r, g.\nAnswer: -0.1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 7) + (-8 - (-11 + -11 + 7 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + -7. Let o = 35 + f. Let u = 267 + -2939\/11. What is the nearest to 2 in u, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*y**4 - 753*y**2 + 190*y**4 - 44*y**3 - 6*y**3 - 1010*y**2 wrt y?\nAnswer: 336*y - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(1186*h**3 - 1526*h**4 - 1186*h**3).\nAnswer: 3052*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-72)*2\/(-14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 15. Let i = 62802 - 62786. Sort 1, p, i in descending order.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -2 (c) -1\/7 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 times 0.1?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/7 + 610*m**3\/7 + 5388*m**2\/7 - 12610*m\/7 + 6611\/7 = 0. Calculate m.\nAnswer: -601, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 - 14 + (-1 + 1 + 2)*(-3 + 1 + 0))*(-q**2 + 2*q**2 + 0*q**2) to the form f*q + z*q**2 + m and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -4 - 2*9\/6. Solve -4*u - 20 = -b*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -613511*p**2*x**2 - 103*p**2*x - 38*p*x - 75*p wrt x.\nAnswer: -1227022*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g - 42*g + 16*g)*(-8*g + 3*g + g) - 2*g**2 + 0*g**2 + 3*g**2.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0 (b) -31 (c) 89 (d) 0.6 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (20 - (-28 + 83))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -306256*b**2*g + 25332*b**2 - b - 2 wrt g.\nAnswer: -306256*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 42702?\nAnswer: -42710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l - 9 + 6158*l**4 - 5887*l**4 + 24 wrt l.\nAnswer: 3252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30074182.\nAnswer: 2, 367, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 22, -82 in decreasing order.\nAnswer: 22, -15, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 31*f + 35. Let g be k(32). Find the second derivative of -4*x - 21*x**5 + 0*x + 6 + 0*x**3 - 16 + 2*x**g wrt x.\nAnswer: -420*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -31 + 104*k - 101*k - 28 + 59. Let i(x) = -120*x**2. What is h(i(d))?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -201504, -403005, -604506, -806007, -1007508, -1209009?\n\"Answer: -201501*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -31.2. Round v to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**3 + s + 4. Let h(x) = x**2 - 2*x - 15. Let t be h(5). Let l be y(t). Determine n so that 0*n**3 + 0 + 0*n - 1\/5*n**2 + 1\/5*n**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 984.0398ml?\nAnswer: 0.9840398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.2 + 6.7. Sort 14, -3\/2, 5, m in decreasing order.\nAnswer: 14, 5, m, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 7*u**2 - 14*u + 4*u + 10*u + 3*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-21 - -20) - (44 - -2)) + 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/4, 1, 2, -30, -21, 5, 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/12 + (-2)\/(-6). Let x(a) = a**3 - 6*a**2 + a + 12. Let g be x(6). Calculate the greatest common divisor of g and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:05 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*t**3 - 153*t**3 - 4*t**2 + 491*t**3 + 4*t**2 - 157*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33381822.\nAnswer: 2, 3, 19, 443, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.81 - 3.5. Do 1\/2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*t + 24, 190*t - 194*t = 2*p - 24. Let j(h) = 2*h**3 - 25*h**2 + 11*h - 7. Calculate j(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 196 in 3, -6, 0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 12) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6210*i**2 + 161*i + 161. Let h(q) = -115*q**2 + 3*q + 3. What is 161*h(w) - 3*r(w)?\nAnswer: 115*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.412 + 35.3.\nAnswer: 34.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 + 1\/7*f**3 - 1\/70*f**5 + 4*f + 0*f**4 - 2\/7*f**2. Factor c(p).\nAnswer: -2*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15241 = 14*o - 18863. Let g = -919 + o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.1, 0.2, -1, 108, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/(-28))\/((-42)\/(-98)). Let i be -4 - -1 - 111\/(-39). What is the nearest to 6 in t, -3, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + -3*-1*-1*sqrt(180) + (sqrt(180) - (-5 + sqrt(180) + 0))*-5))**2.\nAnswer: 14976*sqrt(5) + 36736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - 12*20\/(-45). Sort -1\/3, m, 2, 3\/7 in descending order.\nAnswer: m, 2, 3\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 - 9*k + 1. Let r be g(-8). Let c be 20\/r - (-4)\/(-18). List the prime factors of (-3)\/c*80\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674400 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12891 - 2802. Suppose 4*u = -t + m, -4*t - 1792 - 709 = -u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o - 105. Let s = o + 861. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2527462 and 2527460 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7224 by -344.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59238, -31 in decreasing order.\nAnswer: 3, -31, -59238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*a - 45, a - 3*h = -3*a + 103. Let v = -124 - -131. Calculate the remainder when a is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 9*a + 6. Let g = 25 + -19. Let c be k(g). Find the common denominator of 2\/5 - 2092\/c and 67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5276586 and 16863?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195*i + 2389*i - 1204*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*v**2 + 607*v**2 - 977*v**2 + 181*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 2, -1, 1 in increasing order.\nAnswer: -3, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 + 3*a**3 - 2*a**3 + (0*a - a**2 + 0*a)*(-2*a - 2 + 2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = 5*i, 4*i - 5*j + 29 = -2*j. Suppose 5*c + 2*p = -55, 3*c + p - 2*p = -22. Is c greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let z(l) = 61*l**2 - 3. Give z(s(t)).\nAnswer: 549*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooouuouoo. What is prob of sequence ouuo?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1404*u. Let v(k) = 21*k - 2. Let i(r) = -230*r + 23. Let y(q) = -2*i(q) - 23*v(q). Let a(d) = -3*n(d) - 182*y(d). Let j(p) = -p**2. What is a(j(z))?\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302 or 3.6?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122320 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4355, 17211, 38641, 68645, 107223?\n\"Answer: 4287*b**2 - 5*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvlzzlv. What is prob of picking 1 v and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/(10\/(-45)). Suppose 2*g + b*t - 15 = 4*t, -4*g = 4*t. Suppose g*i = 2*c - 121, 3*c - 107 = i + 55. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52032\/27720 + 8\/(-84). Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 plus 13?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzyzbdz. What is prob of sequence ydd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3307 by -28518.\nAnswer: -3307\/28518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 261 (base 15) to base 10\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + 25\/(-15) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 834 + -808. Suppose s*x - 281 - 187 = 0. Let y be 3408\/27 + (-4)\/18. What is the greatest common factor of y and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106702 is divided by 97.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1779\/88 - 177\/8. Let p = -42 - -70. Calculate the common denominator of ((-12)\/p)\/((-3)\/58) and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23816998?\nAnswer: 2, 281, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*n**3 + 153*n**3 + 35 - 5*n + 5*n - 383*n**3.\nAnswer: -n**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = 5. Let k be (0 + 1)\/(2\/4). Let f(g) = -2*g - 2. Let b(t) = t**2 - t - 1. What is k*b(x) + m*f(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2\/17 + 4972*u\/17 - 9936\/17 = 0.\nAnswer: 2, 2484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11987.07*0.4\nAnswer: 4794.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from uvivjdjum?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 6. Suppose 0 = -3*o + 2*l + 145, -2*o - b*l = 2*l - 102. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-252)\/(-90))\/(2\/35). Let s = 38 - c. Let m = 23 + s. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.372km to meters.\nAnswer: 785372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -86, 5 in descending order.\nAnswer: 5, -1, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 + 136*o**2 - 54*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - u. Let c = -5 + 7. Let l(x) = -4*x**c - x + 2*x + x + 3*x**3 - 4*x. Let y(m) = -6*l(m) + 15*r(m). Factor y(z).\nAnswer: -3*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -8, -9, 0, 25?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10223 - -17882. What are the prime factors of c?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504.4 - -21?\nAnswer: -1483.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1, -1 in descending order.\nAnswer: 34, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 26677 + 220467. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/32)\/(((-9)\/6)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 9 = -5*x. Suppose -5*w + 32 + x = 0. Calculate the remainder when 25 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -11.5. Let h = 4.5 - u. Which is the second smallest value? (a) 4 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757*d + 145*d + 4041 - 26891 = -12*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117559228 or -117559227?\nAnswer: -117559228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -27197*i**2 - 8*i - 16. Let j(w) = -27196*w**2 - 7*w - 15. Let h(s) = -4*j(s) + 5*p(s). Let r be h(-10). Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = -3*s + 4, 5*s - 1 = y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 782 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208.032 - 208. Let y = -0.532 + c. Put y, 12\/7, -3 in descending order.\nAnswer: 12\/7, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-767622)\/(-34) + 12\/(-102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 97500 = -4*b. Round b to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209083\/20 + 10457. Let h = 598 - 1039. Let o = -9761\/22 - h. What is the common denominator of f and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.327 + 15.427. Let t = 15.352 - a. Let l = t - 0.28. What is l rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00204410233 to seven decimal places.\nAnswer: -0.0020441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l**2 + 8\/3*l**3 + 4 + 0*l - 1\/180*l**6 + 1\/15*l**5 + 0*l**4. Let w(q) be the third derivative of u(q). Factor w(k).\nAnswer: -2*k*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, i - 2*z = z + 19. Let b(s) = s + 1. Let v be b(-5). Let w = i + v. What is the greatest common divisor of 135 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5\/8)*h)\/h**(-3\/2))\/(h**(-8)\/h**(-1)) assuming h is positive.\nAnswer: h**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27665.55 years to millennia.\nAnswer: 27.66555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4030*y**7\/7 - 2492*y**3\/3 - 2817. Find the third derivative of v(j) wrt j.\nAnswer: 483600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/3 + k**2 + 5*k. What is the tens digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**6\/6 - 19*v**4\/4 + 28*v**3\/3 - 5. Find the third derivative of g(u) wrt u.\nAnswer: -60*u**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568256281 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -8. Are 1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297534 and 4368?\nAnswer: 216604752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 140?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/16))**(5\/18) assuming q is positive.\nAnswer: q**(5\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 8. Let i be g(-6). Suppose 140 = 5*x - 4*c, 3*x - i = -c + 69. Suppose -t + 0*t + x = 0. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1593646528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234192 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (5 - 0) - ((-3 - -2) + -30554) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -7 - (-20220)\/52. Let j = c + -119435\/312. Find the common denominator of 1 + 2\/18*(-101)\/2 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from rrkod.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/2 - h**3 - h**2 - 3*h - 1. Let s = -9 + 7. Calculate the remainder when u(s) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 102. Let t = n - -77. Let s = -46.033 + t. Round s to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 8*p + 8*p)*(-2*p**4 + p**4 - p**4) - 2*p**5 + 0*p**4 + 0*p**4.\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20233 (base 5) in base 12?\nAnswer: 91a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -282*d**3*r + d**3 + 5*d**2 - 21*d*r**3 + 353 wrt r.\nAnswer: -282*d**3 - 63*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**8\/560 - f**7\/280 + 5*f**3\/6 - 4*f. Let a(g) be the second derivative of d(g). Factor a(u).\nAnswer: -3*u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**3 + 4 - 406*p - p**2 - 10 + 401*p. Let u(l) = l**3 - l - 1. What is q(t) - 6*u(t)?\nAnswer: 2*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(2) + (sqrt(2) - sqrt(2)*-1)))\/((sqrt(24)*-2)\/sqrt(2)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-5))\/(174\/145).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748 - 1515*i + 4464*i + 748.\nAnswer: 2949*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 249.\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 bigger than 12736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1083 + 2559 = 0. Factor -l - 2*v + 607 + 2*v**2.\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 12. Let t be x(8). Suppose -4*i = -i - t*m - 19, 2*m - 31 = -3*i. What is the smallest common multiple of 2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163957319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1967963?\nAnswer: 1\/1967963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3101104313 (base 5) to base 13\nAnswer: -13b6785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 5*g + 0*g)*((0*g + 0*g + g**2)*(4 + 2 + g - 3) + (-2*g**3 + 3*g - 3*g)*(-3 - 2 + 6)) as h + b*g + p*g**2 + n*g**4 + y*g**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c + 421. Let p be l(-14). What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 189, 281, 371?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121135630?\nAnswer: 2, 5, 7, 11, 61, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 6. Let p be s(-6). Let d = 20 - p. Calculate the remainder when 39 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101, 251, 519, 923, 1481, 2211, 3131, 4259?\n\"Answer: 3*w**3 + 41*w**2 + 6*w + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704 (base 11) to base 9.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + (-3 - -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b + 13. Let f be g(-1). Suppose -1 = 3*d + 4*a - f, -3*a = 2*d - 1. Suppose -5*m + 12 = -2*m. Sort -1, d, m in descending order.\nAnswer: d, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7876.\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11859.72819 + -11872.72818954. Let j = l + 13. Round j to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(1*sqrt(48) + 3))**2.\nAnswer: 168*sqrt(3) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 780254?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 83272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x + 11\/24*x**4 + 2\/3*x**3 + 3\/2*x**2 + 9. Let m(j) be the second derivative of n(j). What is the derivative of m(p) wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662641?\nAnswer: 7, 181, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*m + 3, m - 5*t - 17 = -0*m. Suppose 0 = m*k - 5*k + 309. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-33)*l)\/l**(-6\/11)*((l**(-9\/2)*l)\/l)**(-5) assuming l is positive.\nAnswer: l**(-197\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/275 and -3\/110?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23239.\nAnswer: 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 9. Let z(a) = a**3 - 2*a**2 + 10*a + 9. Let r be z(o). Is r\/2*4\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-117)\/12)\/((-1)\/4). Let a(i) = -16*i + w*i - 22*i. What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1188, 1179, 1158, 1119, 1056?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -2 - (1 + 0). Suppose n = 4*m + 4*l + 12, 0 = 2*m - 7*m - 3*l - 7. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 5*d**2 - 5*d - 3. Let z(k) be the first derivative of k**4\/4 + 4*k**3\/3 + k**2 - k - 28. Let r be z(-3). Let b = -8 + r. Give j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213.18 + -68.87. Let u = 284.05022 + h. Let l = 2 - u. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35565 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcecercwwrweq. What is prob of picking 1 c, 1 e, 1 r, and 1 w?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 11829*o + 659128. What is a(-56)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 + 172 - d + 169 - 511.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 19 (c) -0.5 (d) 6 (e) 3 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 3, h: 3, p: 8}. Give prob of sequence pv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*k + 2\/5*k**4 - 2\/5*k**2 + 0*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 320 = l. Find p, given that p**2 + 0*p**2 - 2*p**2 + 32*p + 5*p**2 + l = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, a: 3}. What is prob of picking 2 a and 2 p?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (62\/12)\/(-5*8\/(-880)). Let j = d + -3377\/30. Which is greater: j or -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -439, -3221, -7873, -14407, -22835?\n\"Answer: -2*r**3 - 923*r**2 + r + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 7 = -18*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 8*i**2 - 2*i**2 - 14 + 8*i**2 - 1683*i as n + y*i**2 + c*i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 221122230?\nAnswer: 221122313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2047 - 1004. List the prime factors of n.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 50 + 257 = 0. Let d = c - 65. Suppose d*s - 432 + 48 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -1001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + j**2 - 2*j**2. Suppose -5*l - 4*o = 267 - 34632, -5*l + 5*o = -34365. Let q(f) = -l + 6873 + 6*f. What is s(q(b))?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55)\/(-65) - 1 - 873\/(-13). Let y = u + -51. Let v = 0 + y. Solve 4*h + v = 0, 0 = 2*f - 7*f - 3*h + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/((-3312)\/(-180)))\/(340\/48)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703093 is divided by 6222.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17232159\/63782872 + -2\/257189. Find the common denominator of 149\/72 and k.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1976)\/10 + 4\/(-10). Let c = z - -994\/5. Let l = -49\/2 - -25. What is the second biggest value in l, c, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -18554758, -8, -1 in descending order.\nAnswer: 4, 1, -1, -8, -18554758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fkkxxxmmkkxkf.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/(610\/(-32940)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -16, -36, -82, -166?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 4*t**2 + 2. Let g be p(-2). Let n be ((-1 + 1 + 0)\/3)\/g. Suppose n = -86*h + 85*h + 1133. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12097?\nAnswer: 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -94. Which is bigger: x or -47\/18?\nAnswer: -47\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/4 + 273\/20. Let p = -47\/82 + -383\/369. Calculate the common denominator of j and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/792)\/((1\/8)\/((-8)\/(-48))).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, e: 3, z: 3, p: 3, f: 3}. Give prob of picking 1 p and 1 f.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 594\/(3 + -2) is divided by ((-1330)\/(-26) + -1 - (-13 - 15561\/(-1183)))*2.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 22. Suppose 2*b = -0*b. What is the smallest common multiple of t(b) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*b**2 - 427*b**2 + 32*b**3.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4 and 9219.\nAnswer: 9220.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9655, 4, -48 in ascending order.\nAnswer: -9655, -48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.94 + -2.86. Let b = -61.86 - z. Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 2*b - 1. Let a be t(-2). Let w be ((-24)\/4)\/(-2 - 0). Suppose 0 = -w*h - h. Solve h = -f - 3*z - a, -f + 2*z = -z - 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27809306*f**2*i - f**2 + 5*f*i - 30932*f + 20 wrt f.\nAnswer: 55618612*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -26, -54, -100, -170, -270, -406, -584?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (20 - 19)) + (-64 + (-2 - 3) - -4).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**7\/21 + j**3\/2 - 7*j - 5. Let n(h) be the first derivative of l(h). What is the second derivative of n(w) wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.992.\nAnswer: 3.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 17 + 3)*(-3*b + b + 6*b)*(-2 + 2 + 2)*(0*b - b - b) to h + c*b + i*b**2 and give i.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 22. Let a(d) = d**3 - d**2 + 1. Let x(m) = 2*m**3 - 7*m**2 + 5. Suppose 9 + 12 = 3*w + 3*f, 4*f - 3 = w. Determine j*x(z) + w*a(z).\nAnswer: 3*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2613, -8971, -19093, -32979, -50629, -72043?\n\"Answer: -1882*p**2 - 712*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7799 and -95?\nAnswer: 7704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -72, 4 in ascending order.\nAnswer: -72, 4, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 5*m - 10. Suppose 3*u + 60 = -0*u. Let v = u - -16. What are the prime factors of t(v)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 5*z + 9*z + 2*z + 126.\nAnswer: 3*z + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 47 = 34 + 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34614.5 tonnes?\nAnswer: 34614500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.122 and -916.2?\nAnswer: 909.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:13 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111870457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6084218.944 rounded to the nearest one hundred?\nAnswer: 6084200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*r - 23 = 3*r, -38 = -5*k + 2*r. Let d be (-3 - 4)\/(k - 2). Let x be (0\/(-4 + (-54)\/(-6)))\/(-2). Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.51 times 0.3?\nAnswer: -22.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31532 (base 6) in base 16?\nAnswer: -10d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.323 from -5.3.\nAnswer: -15.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 19 - 24) + -3 + 0 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -189*p**4 - 5*p**3 - 21. Let s(l) = -756*l**4 - 21*l**3 - 84. Let z(y) = 21*j(y) - 5*s(y). Differentiate z(i) wrt i.\nAnswer: -756*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10)*3) - (5*sqrt(396) - sqrt(11)).\nAnswer: -86*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390136904 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5831.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31575 = 42*n - 91317. What are the prime factors of n?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a39a5 (base 12) in base 2?\nAnswer: 1000011010001111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -18, -2\/3 in descending order.\nAnswer: -0.3, -2\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337146132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001824 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, 8\/51, 1\/4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105147727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963, 2000, 3111, 4326, 5675, 7188?\nAnswer: 8895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -404.0096\nAnswer: 202.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*u + 3 = 1, -2*f - 5*u = 5. Suppose -4*i + f*r = -r + 6, i + 3 = r. Let w = -15 + 10. Sort w, i, 0 in descending order.\nAnswer: 0, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 381*q + 17 + 16)*(-3*q**4 + 0*q**4 + q**4 + (q + q - 4*q)*(-q**3 + q**3 - 2*q**3)).\nAnswer: -762*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 143371863 to the nearest 1000000.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/36 and -5\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**5\/5 + 11*u**2\/2 - 6. What is the second derivative of r(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30552.7, 2, 4\/7, -1\/3, -1, -3, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2578 - 2579.449. Let k = 1.24 + h. What is k rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 41. Is z(24) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -46, 5, 1, -362, 0, -8 in increasing order.\nAnswer: -362, -46, -8, 0, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18767*i**5 - 31812*i wrt i.\nAnswer: -375340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-195)\/6)\/13)\/((-10)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*m - 4*u, -m + 4*u - 6 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346596 by -1.\nAnswer: -346596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 48*b + 150 = 0. Solve -b = -44*k + 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/30 + 86*n**5\/15 + 880*n**4\/3 - 7744*n**3\/3 - 2*n**2 - 879*n. Factor r(d).\nAnswer: 4*(d - 2)*(d + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 59\/3 + (-2 - -2). Let w = i - 19. Let k = -3 + 16. Which is the nearest to w? (a) 1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 3*j + 47 - 21, -2*b - j = -13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-80)*(-4)\/(-1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t - 54*t = -39*t - 65964. Is 956 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/7))**26)**(-6\/13))**(7\/9) assuming s is positive.\nAnswer: s**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Suppose -2*u + 4*o = 1656, -r*o = 5*u - 1140 + 5304. Let d = 1223 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:13 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - (-42)\/(-10). Let r(d) = d**2 - 4*d - 18. Let g be r(-3). Suppose 0 = -g*f - 5*x + 2, 4*x = -2*f - x - 2. Sort y, -1, f in descending order.\nAnswer: f, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.42 + -0.42. Which is the closest to -2\/5? (a) -0.6 (b) g (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140494939 to six decimal places.\nAnswer: -0.001405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*15\/2. Suppose 0 = d - 2*d + 4*k - 6, -5*d - 14 = -4*k. Put l, d, -3 in descending order.\nAnswer: l, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60, 4063.28, -0.2?\nAnswer: 4063.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 divided by -4?\nAnswer: -205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 13, -11, -57, -131, -239, -387?\n\"Answer: -o**3 - 2*o**2 + 5*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose i*v - 7772 = -r + 20419, r - v - 28185 = 0. Let y = -4586 + r. What is y rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - 1. Let x(u) = -12*u**3 + 16*u**2 - 16. Let t be 1*5 + (-174)\/29. Give t*x(c) + 16*f(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 17, 20, 7, -28, -91?\n\"Answer: -x**3 + x**2 + 17*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-4) - -3)*-1. Let y = 27 + x. Let v be 4\/(-28) + (-26)\/y. Let p(i) = -4*i - 1. Calculate p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.1. Let l = -0.2 - -0.1. Let h = l + o. Which is the smallest value? (a) h (b) -1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -49*p - 38 - 287 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200924, 803750, 1808486, 3215132, 5023688, 7234154, 9846530?\nAnswer: 12860816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -105. What is the biggest value in 12, -2, n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -315143, -314643, -314143?\n\"Answer: 500*h - 315643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 67, 94, 119, 142, 163?\n\"Answer: -k**2 + 32*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -66, 8, -2, 0.2158, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -28*v**2. Let s(c) be the third derivative of c**8\/10080 - 217*c**5\/60 + c**2 - 126. Let d(u) be the third derivative of s(u). Give d(h(f)).\nAnswer: 1568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12450 divided by 6\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/14 + 100298\/2716. Solve -227 - j = 44*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4868098, -4868094, -4868086, -4868074, -4868058, -4868038?\nAnswer: -4868014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4*(sqrt(252) - -2*sqrt(252)*5 - sqrt(252)))\/(-2*(-2*(sqrt(12)\/sqrt(3) + sqrt(4)) - (sqrt(4) - (sqrt(12)\/(sqrt(3)*1) + sqrt(4))))))**2.\nAnswer: 2795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16748581*d**4*h*m**3 - 2*d*h**2 - 1198*h**2*m**3 - h**2*m**2 - 1322*h - m**3 wrt d.\nAnswer: 66994324*d**3*h*m**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -12. Let c be (-1)\/((4\/(-2))\/76). Suppose c = 4*m + 14. What is the remainder when o is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 4. Let x be ((-123082)\/v)\/((-1)\/(-59)). Suppose -2*z - r - x = -18430916, r + 7400003 = z. Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 4*n - 12. Calculate h(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-5))\/((-1)\/(-3)). Let h = 0.33 + -0.03. Let r = -183\/398 - 8\/199. Which is the smallest value? (a) h (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + 20\/(-39). Which is the closest to 1? (a) 1\/5 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28404652 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048077 rounded to 3 decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2479 + 71. List the prime factors of a.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/4, -5, -4, 1, -2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -229*f**2 + 7 + 0 + 4 - 12 as b + q*f + v*f**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 - 6*n**2 + 23*n - 8. Let o be a(-13). Let f(p) = p**2. Let y(g) = -14*g**2. What is o*f(b) + y(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -75.969. Let h = -2.277 + 1.977. Sort 0, c, h.\nAnswer: h, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36058 from 84364.\nAnswer: 48306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -348231, -2785666, -9401477, -22284852, -43524979, -75211046, -119432241, -178277752?\n\"Answer: -348198*i**3 - 49*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2311 or 2310?\nAnswer: 2311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2557 and 3.\nAnswer: 7671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(4) + sqrt(16))*1)\/(-3*sqrt(18)*1) + 3.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrjm when four letters picked without replacement from {b: 4, r: 3, j: 1, m: 9, l: 2}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479040799.\nAnswer: 3, 73, 89, 127189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**2. Let w(s) = -14*s**2 + s. What is d(w(j))?\nAnswer: 4312*j**4 - 616*j**3 + 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -163953.428 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.6.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2631 + 0.5631. Which is the third smallest value? (a) x (b) 7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 399?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by (-183)\/61*(-2 + (-32)\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*t + 3*d = 1971*t - 8, 3*d + 10 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 + 175*u**4 + 2330*u**3 + 14320*u**2 + 37760*u + 25600.\nAnswer: 5*(u + 1)*(u + 8)**3*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let k be m*-4 + 280\/(-1 - -6). Let j = k + -19. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85543 is divided by 236?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 2, p: 1, c: 2, d: 1}. Give prob of sequence dps.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68965619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1701656 divided by -27896\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -41. Suppose 5*g - 50 - c = 0. Let p be 1 + -5 + (168 - -1). Calculate the highest common factor of g and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.4 (b) -2\/21 (c) -0.38 (d) -8\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -499.84?\nAnswer: 499.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*h**3 + (2*h + 5*h - 5*h)*(0*h - h**2 + 0*h) - h**3 + h - h + 4 - 4*h**3 - 4 + 2*h**3 - 8*h**3 + h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*f + 8*f. Put f, -1\/6, 2 in decreasing order.\nAnswer: f, 2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16102 = -69*v + 71*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 17 + -47 + 80 + 36.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3\/11, -5, -12?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-34)\/(-8) - 0) + 3\/(-12). Let s(a) = 0 + 167*a + 10 - 169*a. Let g be s(4). Solve 3*v - o*i = 2*v + 14, 5*v = -g*i - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 15*b**2 - 21*b - 27. Let c be x(-16). Suppose -4*m = -z - 2*m + 118, 5*m + c = 5*z. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 180*z**2 + 2 - 94*z**2 + 858*z**3 - 215*z**3 - 88*z**2 to the form a*z**3 + o*z + t + k*z**2 and give a.\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -667?\nAnswer: 4\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (3 - (3 + -2)). Suppose g = -4*s - 1 + 9. Let y = 0 + -1. What is the third biggest value in y, 3, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = 20*x - 22*x, 2*o + 14 = 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*t**4 + 435*t**3\/2 - 411*t**2 - 51*t\/2 + 90 = 0. What is t?\nAnswer: -4\/9, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -8*8\/32\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from navvnlv. Give prob of sequence va.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3072 minus 1.56?\nAnswer: -1.8672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -2.5. Let p = 89 - 91. What is the nearest to 0 in -1, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 20*g + 231. What is the biggest value in 1, 5, 4\/5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -243799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 250 or -0.0638?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317932 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1 + sqrt(17) + sqrt(34)\/sqrt(2)) - sqrt(17)) + (sqrt(136)*-1)\/sqrt(8).\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 32*a**2 - 3*a - 4. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 18*r + 40. Let o(p) = p - 2. Let q(n) = 6*o(n) + v(n). Let l be q(4). Is 0.8 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069088 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6600*a**2 - 4. Let w(b) = -337*b**2. Calculate c(w(d)).\nAnswer: -749555400*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from ppppppppnpnpppnppp.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 314 - 1072 = -1426*y, o = 2*y + 6 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131022068.4 and 0.0905?\nAnswer: 131022068.4905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4 - 6. Let n = 0 - -4. Suppose -3*g = -5*z - n*g + 109, -2*g = 3*z - 71. Solve b - 11 = -2*w, a*w + b + 2*b = z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (68\/24)\/(-17)*8. Which is the second smallest value? (a) -4\/9 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -108.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29506 is divided by 4202.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - 1 - (26 + -3 + -8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 9:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -575, -4, 2, 0 in increasing order.\nAnswer: -575, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -140. What is the remainder when h is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*a - 1170, -13*a - 765 = 2*w - 16*a. Let q = w - -395. What is the lowest common multiple of q and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26823193?\nAnswer: 19, 73, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/448)\/(-1*1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160810 is divided by 1628.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -23.9, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1321?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2852 - 2850. What is the closest to f in 0.04, 4, -8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p + 3. Let w(m) = -m**3 - 7*m**2 - 4*m + 25. Suppose 3*o + 31 = -3*y + 25, -5 = 4*o + 5*y. Let s be w(o). Determine k(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511 divided by 4.\nAnswer: 511\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 6*f - 3*f, 0 = 2*f + 5*u - 23. Let c be ((-2)\/(-6))\/(6\/(-36)). Suppose 14*n + 2*k = 15*n + 3, 4*k = 4*n - 4. Sort c, n, f, 2.\nAnswer: c, 2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 64 = 4*p, p + 3*p - 56 = -2*b. Let k = -7 + p. Calculate the smallest common multiple of 18 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3)*-1 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 15*q = -5, 4 + 12 - 18 = 5*v - 5*q + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3.2 (b) 0.2 (c) 8870\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zhriihriryirrrz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 342, 292, 246, 234, 286?\n\"Answer: 5*z**3 - 28*z**2 - z + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*j = -10, 3 = -0*t + 4*t - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*1)\/(36\/16)*-54. Let l = -52 + m. What is the smallest common multiple of l and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15646611*u**2. Let l(c) = -2*c**2. Calculate l(n(s)).\nAnswer: -489632871570642*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, -7664, -25854, -61406, -120140, -207876?\nAnswer: -330434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:46 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1 + 36*r - 35*r + 3. Let y be q(-4). Let c be 0\/11*1\/2. Put y, -5\/3, c in descending order.\nAnswer: c, -5\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86292281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 17966872 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 + 5*4. Let m = -9 + z. Solve 0 = -2*j + 4*j + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 7:36 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - 4*p**2 + 2*p + 2. Let r = 419 + -421. What is the least common multiple of 10\/(-3)*36\/(-10) and k(r)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6144 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 - 0.7. Let d = 45\/13 - 649\/195. What is the closest to -0.1 in j, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/560 + 3*a**7\/350 + 3*a**6\/200 + a**5\/100 - 2*a**2. Factor i(t).\nAnswer: 3*t**2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/107, -0.1, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(((-8)\/1)\/(-32)). Suppose -2*q = -4*q + 5*b + 41, q = -5*b + 13. Solve -x*y - q = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 12 = 126*i. Calculate the remainder when 81 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(1377) + -4*sqrt(1377))**2 + -4 + -3 + 1)*-4.\nAnswer: -49568 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*k - 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(-4\/5))*g**2\/g)\/(g\/((g**(-6\/5)\/g)\/g*g)*((g*g*g**0)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:52 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3*z - 9097908*l**2*z**2 + 3*l*z**2 - l*z - 2940943*z - 7 wrt l.\nAnswer: -24*l*z - 18195816*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 20\/24. Let f = 61346 + -61348. What is the closest to s in -23, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331*-3.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(120)*-1*-6)\/(sqrt(6) + -3*sqrt(864)).\nAnswer: 24*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-19 + 1 + -2 + -18)) + -15\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*v**3 + 7*i**3*v + 18*i**2*v - 1909*i*v**3 wrt v.\nAnswer: 12*i**3*v - 11454*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7*u = 4*u + 17, i + 3*u = 13. Solve 5*l + y = -y - 29, y = -i*l - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 12) to base 13\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:17 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -6?\nAnswer: 91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 69595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 9*i**2 - 7*i - 13. Let z = 1773 + -1782. Determine u(z).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -442210.39893 + 442224. Let b = q + -13.6. What is b rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-1 - 270 - -8). Let k = r - -282. Which is greater: 29 or k?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237\/4 + -60. What is the nearest to 3 in 3, u, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 546 - 546 + 6*n + (1 + 0 + 1)*(2*n + n - 15*n) to the form a*n + r and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765466486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*u + 15 - 15 - 5 + 2*u - 1 + 1 + (-2*u + 4*u + 0*u)*(-3 + 1 + 3).\nAnswer: -31*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3535 + 20*h**2 + 3535 + 7*h).\nAnswer: 20*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.7 + 13. Which is the nearest to -1\/3? (a) r (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2 - 415832*p - 831680 = 0.\nAnswer: -2, 103960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36130615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4168575 from -60249103.\nAnswer: -64417678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Let i be 2\/q - (-3)\/30. Let b = 0 - 0.4. What is the nearest to i in -3\/7, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 - 3. Let m(p) = -2*p. Let i be m(-2). Let q be c(i). Let u = q - -8. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 + 305.6. Let o = 29 - b. What is the closest to -0.05 in -1\/6, -2, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(2 + 0) - 0. Let s = 6 + -4. Suppose 2*k = t - 3 + 4, -s = v*t - k. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-76)*24\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2963099 and 10940?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 6*j + 132. Determine u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36a - -5?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -467c56 (base 13) to base 16.\nAnswer: -198b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 4*a**2 + 111996 + a - 111996 - a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3718 - 1856 - 3*s**2 - 1862.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171)*4 - sqrt(171)) - (1*sqrt(171) + sqrt(171))*-4)\/(sqrt(900)*1*1 - sqrt(900) - -3*-2*sqrt(900)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 - z + 2. Let f be a(-2). Let t be (1 - f)\/1*5. Let k(w) = -w + 8. Give k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1018 divide 672714760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -s - 3*i, 0 = -5*i - 22 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 + 1167*y**4\/2 + 5937*y**3\/2 + 4776*y**2 + 2394*y = 0 for y.\nAnswer: -2, -1, 0, 399\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3049, -5024, -6999, -8974?\nAnswer: -10949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*s + 6*c = 1090*s - 12, -19 = s - c for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3205167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -49*l**3 - 6*l**2 - 3*l + 68. Let m(a) = 49*a**3 + 4*a**2 + 2*a - 69. Let r(f) = -6*m(f) - 4*x(f). What is the derivative of r(c) wrt c?\nAnswer: -294*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -13237\nAnswer: 8\/13237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -2*g**7\/105 - g**6\/10 - g**5\/5 - g**4\/6 + 3*g**2. Determine x, given that o(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7032, 56313, 189952, 450129, 879024, 1518817, 2411688?\n\"Answer: 7030*n**3 - n**2 + 74*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/22, 4, -30549?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/15 - 17*j**4\/6 - 32*j**3\/3 + 3*j**2 - 46. Factor d(f).\nAnswer: -4*(f + 1)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 5*v**2 - 4*v**2 - 2*v**2 + 17*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v + 40 = -4*y, -3*v - 3*y - 3 = 0. Let c be (375\/(-21))\/5 + v. Solve 3\/7*q**2 - 3\/7 - 3\/7*q + c*q**3 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + 5, -4*o + z + 2 = 0. Suppose o = 5*n - 2*n - 387. Calculate the remainder when n is divided by ((-616)\/(-35))\/(-2)*(-10)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - 36. Let k = -52.07 - z. Round k to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.06. Let a = -0.233 - q. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052530 (base 8) in base 14?\nAnswer: 1707c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 206. Suppose 0*d - 10*d = -0*d. What is the units digit of w(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*x**3*y**2 - 2*f**3*x**3 + 5165678*f**3*x**2*y - 2*f**3*x + 68254*f**3*y**2 wrt y?\nAnswer: -4*f**3*x**3 + 136508*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -16166891 + 51780832\nAnswer: 35613941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1878, -1899, -1936, -1995, -2082, -2203, -2364, -2571?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/48*(4 - 1). What is the closest to -10\/3 in -2\/11, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {f: 9, w: 3, z: 2, u: 3}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*w**3 + 11365 - w + w - 11340 + w**2 wrt w.\nAnswer: -72*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:40 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from ixixixx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33086 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 + -152. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -1529999\nAnswer: 18359988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 122 - 197. Suppose -7*x + 80 = -2*x. Is x <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43, -3\/2, 1\/4, 4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5579936 decades in millennia?\nAnswer: 0.005579936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705 a factor of 1439801063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n + 14. Calculate h(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -580050907*t. Let d(i) = -2*i. Determine u(d(z)).\nAnswer: 1160101814*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4780 divided by -6.\nAnswer: -2390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + q**2 + 2*q**3 - 2*q**4 - 2 + 8 - q**3 - q to c*q**4 + d + b*q**3 + g*q**2 + v*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, 0 = -2*q + 5*l + 75 + 249. Suppose 0 = -2*k + 37 + 23. Let x = k + -12. What is the highest common divisor of q and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -22. Let r = p - -3. Which is greater: r or 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 2.93. Let n = -2.9 + j. Which is the closest to n? (a) -4 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 4 + 4)*(-k - 4 + 4)*(3*k**2 - 3*k**2 - 3*k**2 + (3*k - 2*k**2 - 3*k)*(-3 - 1 + 2) + 4 - 4 - 2*k**2).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001001000111001 (base 2) in base 3?\nAnswer: -212112200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 2*x + 3*x + (x - 2*x - 2*x)*(-4 + 0 + 3)*(-4 - 4 + 7).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*a**3 - 203*a**3 - 2128*a**3)*(-3 + 2 - 1).\nAnswer: 4562*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**0)*b)**(29\/3)*b\/((b\/b**1)\/b*b)*((b\/b**(-3))\/b)\/b*b*b\/(b*b*b\/b**(1\/6))*b\/b**5*b*b*b**(-7)\/b**1 assuming b is positive.\nAnswer: b**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let a(m) = m**2 - 6*m**2 - 4*m + m**2 - 2 - m**i + 2*m. Calculate a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 6.7\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48124346 is divided by 267?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - -0.08. Let f = 8\/101 - -146\/707. Suppose -2*w = 3*q - q, -5*w + 4*q - 45 = 0. Which is the closest to d? (a) 2 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -46. Let j(h) = -129*h**2 - 6 + 147*h**2 - 2 - y. List the prime factors of j(3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -6381761?\nAnswer: 6381764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 - (-5)\/(100\/36). What is the common denominator of -71\/51 and ((-15)\/(-21)*v)\/((-2)\/(-4))?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -22*k + 129. Let u be w(5). Solve -25*a + u*a + 30 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1858180 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1325, -8, 107, -2 in decreasing order.\nAnswer: 107, 0, -2, -8, -1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -15651926.\nAnswer: 1565192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from imimzsiimiizmiimiisi.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.917 less than -1.9271616?\nAnswer: -18.8441616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 + 5 + 12*k - 2*k**4 - 172866*k**2 + 172877*k**2 + 0*k**4 - 13*k to d*k**4 + q*k**3 + t*k**2 + f + l*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, -2, -0.1, -4\/5, -17.9 in increasing order.\nAnswer: -17.9, -2, -4\/5, -1\/2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404.54072 rounded to the nearest ten?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.62391 + -491.34749. Let j = 520 + f. Round j to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:50 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**2 - 4. Suppose o = -1, -r + 110 = -3*o + 21. Let k = r - 75. Let b(c) = -41*c**2 - 21. What is k*q(t) - 2*b(t)?\nAnswer: -6*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(-u - 2 + 2) + u - 2*u - 7*u + u + 2*u - 4*u)*(0*u + 0*u + 2*u**2).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + n**2 + n + 1. Let l(b) = -5*b**3 + 6*b**2 + 7*b + 5. Give l(a) - 6*u(a).\nAnswer: a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -60*x**2 - 299*x + 16. Determine h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4*(0 - -4*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 3822\/105)\/((-2)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60.434 or 0.3095?\nAnswer: 0.3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8819 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/35)\/1)\/(1064\/(-285)*(-1)\/(-12))?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226350 is divided by 1276?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 7, g: 5}. Give prob of picking 1 g and 1 j.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5038\/91 + 13397647\/241878. What is the common denominator of 12 and j?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6391, 12727, 19063, 25399?\n\"Answer: 6336*w + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2. Let k(o) be the first derivative of 31*o**4\/24 + 23*o**2 - 2*o + 143. Let j(v) be the second derivative of k(v). What is j(q(h))?\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*i - 120010, -200002 = -5*v - 0*i - i. Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27384419*r - 776 + 27384421*r - 436.\nAnswer: 2*r - 1212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32948 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -49\/4. Let w be ((-2)\/(-3))\/(20\/6). Which is the closest to -1? (a) u (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1603*w + 4677. What is m(-3)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/25)\/(-22 + 15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 + 0?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 14. Determine a(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 2*o**2 + 2*o)*(10*o - 1 - 11*o + 7*o) to the form u*o**3 + s*o**2 + n*o + t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17990*n**3 - 17997*n**3 + 36012*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q**2 + 6*q**2 - 11*q**2)*((-12 + 1 - 2)*(3 - 4 - 3) + 2 + 3 - 4) as z*q**2 + d + g*q and give z.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 1407.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(11\/2)*(k*k*k\/k**(-5))\/k**(4\/9)*(k**(1\/9)*k\/(k*k**(-5)\/k))**(1\/26) assuming k is positive.\nAnswer: k**(10187\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -62494.25 - -97?\nAnswer: -62397.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, t: 3, i: 4, l: 5, a: 2}. Give prob of sequence loa.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:55 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938779827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -26695 and 157 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f**3 + 78*f**3 - 34*f**3.\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -17*y - 5*i - 25, -i = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -154. Let s = 61 - f. Let c(b) = 5*b**2 + 2*b - 1. Let k(l) = -l**2. Calculate s*k(t) - c(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Let j = -24 + 44. Suppose 5*u - 5 - j = i. What is the nearest to 2\/5 in -2\/9, u, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -19. Suppose -8 = -3*l - l. Suppose -5*a + 10 = -b + l*b, -3*a - 2 = -b. Calculate the remainder when b is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8184, -8190, -8206, -8238, -8292, -8374, -8490, -8646?\nAnswer: -8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l. Let c(a) = -a. Let s(k) = -k - 2. Let p(q) = -2*q - 3. Let m(x) = 2*p(x) - 3*s(x). Let d(i) = -5*c(i) + 6*m(i). Calculate w(d(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10566083 is divided by 251?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 33*t**2 + 113*t + 18. Differentiate k(a) with respect to a.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*d - 38 = 2, -5*d + 10 = 0. Suppose -4*k = 2*m - 20, 2*m = -k + 5*k + 20. Suppose 5*n - 85 = m. Calculate the remainder when n is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 11, 4, -5, -16, -29, -44?\n\"Answer: -c**2 - 2*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(76) + -2*sqrt(76) + 2 + sqrt(76)) + 5*sqrt(76)*-1 + sqrt(76) + (-1 + sqrt(76) + 5 - sqrt(76)))**2.\nAnswer: 32*sqrt(19) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/4 + 9*p\/4 + 105\/2 = 0.\nAnswer: -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/((-8)\/(-6)) + 2210\/(-360) and 71\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 16*x. Let p = -543 - -559. Let k(r) = 0*r - 8*r + p*r. Determine k(l(u)).\nAnswer: 128*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10923? (a) 4 (b) -4\/77 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**2 - 2645*a - 23284. Give t(-9).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 980\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-44)*(-2)\/(-6)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*h + 3*z + 82, -5*h + 85 = z. Calculate the remainder when 60 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - u - 4*u + (2 + 3 - 3)*(4*u - 3*u + u) + 6*u + 3*u + 0*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajawwawkawofa. What is prob of picking 2 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/7 - 10\/(-35). Suppose -6 = t*g - 39. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 + 3*w**3 + 4*w**2 - 15*w + 393. Let c be (2\/3)\/((-6)\/(-45)). List the prime factors of h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2*t)*(-1 + 0 + 0) + t - 1 + 1 + (t - t + 2*t)*(-1 + 0 - 1) - 2 + 2 - t + 119*t - 122 - 23 - 118*t.\nAnswer: -t - 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3892 - -0.016.\nAnswer: 3892.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 32*j - 7. Let g(b) = -67*b + 16. Calculate -4*g(d) - 9*z(d).\nAnswer: -20*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/4 - 1*(-7 + 3). Suppose 0*p + 5*p - 50 = b. Calculate the greatest common divisor of 40 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 5. Suppose u - f = -4. Suppose -u*l + 27 = 5. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/7))**(1\/57))**37*(p\/(p\/(p\/(p**3\/p))))\/p*p**(-3\/2)*p*(p**(1\/4)\/p)\/p**(-7) assuming p is positive.\nAnswer: p**(2439\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -136, -23, 120, 287?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 6102?\nAnswer: -6102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13380483 (base 10) in base 8?\nAnswer: 63025603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -7. Suppose z*j - 4*j + 1 = 0. Sort 2\/15, j, 0 in decreasing order.\nAnswer: 2\/15, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 6*m + 15. Let v(p) = -3*p**2 - 5*p - 15. Let s(o) = 6*v(o) + 5*w(o). Differentiate s(u) with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.037, 5, 654, -0.3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 916.7279ml in litres?\nAnswer: 0.9167279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2169 and -31\/36?\nAnswer: 8676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -24, -16, 2490 in decreasing order.\nAnswer: 2490, 3, 0, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 - 1. Let p(k) = -13*k**3 + 10*k**2 + 2. Let q(f) = -2*o(f) - p(f). Find the third derivative of q(l) wrt l.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342917389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = 0. Let k = 0.2 - 0.1. Let z = -255 - -261. Which is the closest to 0? (a) z (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 + 4*n**2 + 4*n + 3. Suppose -m = 3*h - 5, 5*h - 18 + 7 = m. Let x be (-2)\/(1\/(2\/h)). Is j(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104314 take away 24037.745?\nAnswer: -128351.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 12 + 6)*(0*f**3 - 3*f**3 + f**3).\nAnswer: -42*f**3","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 {j: 1, c: 2, w: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 75\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/2*18\/(-15)*(-110)\/99\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(sqrt(88) - sqrt(88)*-2))\/(6*(sqrt(288) + sqrt(288)*1) - sqrt(288)) + 0.\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2988 and 623828.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 21*a - 14676. What is the remainder when a is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 9) to base 16.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 217.\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233424 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 64*n - 58*n - 429*n**3.\nAnswer: -429*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 15*s + 6. Let l be c(15). Let j = l + 5. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*n - 10*n - 24*n - 24*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102417625?\nAnswer: 5, 751, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 33425.\nAnswer: 33425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-188) - (-2148960)\/41360.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**7\/630 + u**6\/120 + u**5\/60 + u**4\/72 - 16*u**2. Determine p, given that g(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -4.8. Let m = z - 4. Let o = m + -1.1. Is o >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(165))\/sqrt(5))\/sqrt(3).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-35)*(-6)\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 38*b - 309. Let m be i(-9). Is m greater than 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9701799700 to the nearest 1000000.\nAnswer: -9702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 16*o**2 - 28*o - 305. Give y(-13).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)*(8 + -7). Suppose -10*n + 5*n = j. Suppose 2*r + 3*r = -d + 12, n = -r. Calculate the greatest common factor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 325*a = 1630, -9*a + 11*a + 3 = -3*v - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. Suppose -i - 8 = -0*i. Let g be k(i). Suppose -71 = -g*n + 85. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19642 in 0.3, 1.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1033\/9 + -115. Which is smaller: k or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, z: 9, a: 2}. What is prob of picking 1 a and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*h + h. Let d(r) = r + 10. Let b be d(h). Solve -3*o + 2*o - b = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*p = 2, -2*p = 5*c + p + 7. Let z(q) = -3*q**2 + 3. Let a(b) = -b - 1. Let t(l) = c*a(l) - z(l). Does 3 divide t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-6)*(-12)\/(-10). Let a = c + -1. Is 18 a factor of 71\/2 - 2\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l + 11. Let w(f) = -13*f + 4. Let g(s) = -11*w(s) + 4*y(s). Let x(n) = 0*n**2 + 7*n**2 - 5 + 0*n**2 - 2*n**2. Calculate g(x(k)).\nAnswer: -5*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 823 and -0.32?\nAnswer: -263.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13242 is divided by 886?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*s - 33 = -1, 4*n - s - 19 = 0. Suppose -5*o - 3 - 2 = -5*f, 2*o - 4*f + n = 0. Suppose d + 4*d = o. Put 2, 3, d in decreasing order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-29 - 0) + -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 1. Let t(p) = -5*p**3 + 2*p**2 + 2*p + 17. Let j(q) = -t(q) + 6*u(q). Let x be j(-8). Solve -4*c = x - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 35. Let n(m) = -6*m + 181*m**2 + j + 0*m + 8*m - 2. What is the hundreds digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:43 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8759b + 22?\nAnswer: -87579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*p, 0 = -5*p - 17*g + 15*g - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -7740308624.\nAnswer: -7740308624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 33. Let l be j(-11). Find the first derivative of -8*n + 3*n**4 + l*n**4 + 36 + 8*n wrt n.\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 4. Let a = -1 - 6. What is the lowest common multiple of ((-48)\/(-14))\/(4\/14) and w(a)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114\/27 - 4 - 55317\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/21295)\/(-4)*(-12)\/2. Let u = a - 438641\/25554. Find the common denominator of 74\/3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -2549, -5716, -10141, -15824, -22765?\nAnswer: -30964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.07 (b) 4 (c) -2 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/443 + 1782\/2215. Factor -2\/5*r**2 - 2\/5 + y*r.\nAnswer: -2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -217 - -219. What is the third derivative of 11*i**3 + 20*i**2 - 2*i**5 + 7*i**2 + i**o - i wrt i?\nAnswer: -120*i**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34620 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 10 - 18 - 829*o**2 - 9 - 16 in the form n*o + w*o**2 + c and give w.\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 15. Let l be 2 + -3 + o - 1. Suppose -2*h + l*h - 375 = 0. Calculate the greatest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31443 is divided by 6228.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1239040 and 6.\nAnswer: 1239046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145 * -7834.\nAnswer: 1135930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/906)\/((-1)\/(-2)). Let d be (0 - -40) + (-4)\/2. Let a = 38 - d. Which is greater: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1458250407 - -2?\nAnswer: 1458250409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjjjljjjjjj?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2932797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(32\/(-4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -0.46. Let d = -0.36 + a. Let k = -0.1 - d. Round k to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*z - 5*h, 2143*h = 5*z + 2138*h + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - c - 5. Let b(n) be the first derivative of 2*n**3 + 5*n + 3. Let r(h) = 2*a(h) + 3*b(h). What is the units digit of r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 - 6)*(-2*b**2 + 6*b**2 + 0*b**2) - 2*b**2 + 2*b**2 + b**2)*(3*b**2 - 4 + 4) to the form l*b**3 + n*b**2 + o + q*b**4 + d*b and give q.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/(((k\/(k*k\/(k**(6\/5)\/k)*k))\/k)\/k)))\/k*k)\/k)\/k)**(6\/5) assuming k is positive.\nAnswer: k**(-174\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 12*r**2 - 3*r - 5. Let q(k) = -k - 1. What is -j(o) + 5*q(o)?\nAnswer: o**3 - 12*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7\/2, -1, -0.13, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1228436*g. Let c(b) = -b**2. Calculate c(o(k)).\nAnswer: -1509055006096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbyvvvmvvvmybvmbv. What is prob of picking 3 v?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -44 (b) 4 (c) 2\/21 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -249 - -2239\/9. Let g = 5 - 49\/10. Which is the third smallest value? (a) g (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39399 and 183862?\nAnswer: 551586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -5 (b) 1\/2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five quarters of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -19 (b) -0.1 (c) -2 (d) 2\/161 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -13*u**3 - 1\/6*u**4 - 41*u + 0 + 0*u**2. Let r(g) = 0. Calculate g.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -3) + -1 + 2. Let r be k\/(-12) - 242\/(-4). Suppose 0 = -3*h + r + 60. What is the remainder when h is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.5. Let j be (-17)\/(-51) + (-16)\/30. Which is the nearest to i? (a) j (b) -1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3981\/5 or -1?\nAnswer: -3981\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2792089 + 3*y - 1388080 - 1404009.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 27*y**2\/5.\nAnswer: -3*y**2*(5*y - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 + 3*z - 4. What is the tens digit of r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(468) - (3*sqrt(468) + 0)))**2 + 3.\nAnswer: 24*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -3630, -5444?\nAnswer: -7258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-3*-6 - sqrt(68)) + sqrt(68) + (sqrt(68) - 2*sqrt(68))*6)\/((sqrt(360) + (sqrt(360) - -1*sqrt(360))*-4)\/sqrt(10)).\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u + 816*u**2 - 9*u - 254 + 256 to the form v + g*u**2 + k*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -9650, 1, 5 in descending order.\nAnswer: 5, 1, -9650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose 3 = u - k*u. Let j(v) = 11*v**3 - 3*v**2 - 4*v + 9. Let x(r) = 24*r**3 - 7*r**2 - 9*r + 19. Let q(f) = -13*j(f) + 6*x(f). Calculate q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120915503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(192) + -1 - sqrt(192)) + sqrt(3))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * 285.\nAnswer: 25080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4*c - 3*c)*(-7*c**3 + 4*c**3 + c**3) - 2*c**4 + 6*c**4 - 3*c**4 - 3*c**4 - 30*c**4 + 13*c**4 to b*c**3 + j + h*c**2 + r*c + y*c**4 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -101. Solve z = p + 4 - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 times -37\nAnswer: -5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 20. Let q be f(-2). What is the closest to q in -2, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422 (base 10) to base 3.\nAnswer: 10022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 7, c: 1, o: 2, w: 2, p: 2, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 0*w + 2 + 1 + 2*w - 6 - 3*w**2. Suppose 0 = -3*f - 3*g + 12, 4 = -f + 5*g + 14. Is p(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461871 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32505 - 45243?\nAnswer: -122152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892730401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/140100 and 169\/5842170.\nAnswer: 58421700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16895810 or -16895809?\nAnswer: -16895810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.997 + -8.997. Put 5, 4, h, -1294 in increasing order.\nAnswer: -1294, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 - (3 - 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 11*d**6\/30 + d**4\/6 + 79*d**2 + 248*d. What is the first derivative of q(p) wrt p?\nAnswer: 44*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-109600)\/3*(704\/11 + -19). What is t rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llulllllulluuulhlul. What is prob of picking 1 u and 1 h?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -495196*z + 495195*z + 4*z**2 + 421 - 2*z**2 as t + u*z**2 + m*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o + 100. Let i be v(14). Let u(x) = -x**2 - 2*x + 4. Determine u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34006770 by 342.\nAnswer: -99435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4710 - 2754. Is k\/8*6\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19488 and 5075.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16358224901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 30. What is the lowest common multiple of t and 1 - -2 - 6 - -14?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*w**2 - 2*d**3*w + 202432*d**3 - 11506*d**2*w**2 - 38*w**2 wrt d.\nAnswer: 6*w**2 - 12*w + 1214592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.0781?\nAnswer: 0.4219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - 5*u + (-2 - 1 + 0)*(0*u - 2*u + 0*u) + 2 - 2 - 5*u)*(6*u - 2*u - 2*u + 2).\nAnswer: -4*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m. Let f(b) be the third derivative of 47*b**4\/8 + 627*b**2 + 2*b. What is f(u(j))?\nAnswer: 1269*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-29)*f*f\/f**(-29)*(((f\/f**31)\/f)\/f)\/(f**29\/f*f))**(-9) assuming f is positive.\nAnswer: f**531","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -35. Suppose q*k = 4*k - 2*s - 215, 0 = s + 1. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731033.63 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 4, r: 2}. Give prob of picking 1 r and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 - 9058*v**3 + 20548041*v**2 - 163949800*v + 327610000 = 0.\nAnswer: 4, 4525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x**2)*(-2*x + 13*x - 3 + 5).\nAnswer: -22*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 45\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 13*p + 33. Let o be u(-15). Let k be (20\/(-3) + 5)\/(1\/o). Let a = 0.14 + -0.1. Put 1, a, k in ascending order.\nAnswer: k, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 3. Let n be a(3). Let d be (-43)\/(-2) + (-1)\/(n - 2). Suppose 2*z - d = -5*v, 4*z + 0*v = -v + 62. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 + 586*g - 2314. Determine c(-69).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/60 - 17*w**3\/10 - 169*w - 2. Factor t(r).\nAnswer: r*(r - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 + 23*o**3 + 128*o**2 + 268*o + 192 = 0. What is o?\nAnswer: -16, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m - 2. Let o = 361 - 364. What is l(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 3, d: 1}. What is prob of picking 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v**2 + 10*v + 10. Let o(l) be the first derivative of 5*l**3\/3 - 3*l**2\/2 - 3*l + 10. Let b(p) = 3*j(p) + 10*o(p). Is 3 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*i = -98 - 62, 0 = -4*i - 16. Let g = o - -141\/4. Factor 0*f - g*f**4 - 1\/4*f**2 + 0 - 1\/2*f**3.\nAnswer: -f**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.8199 millimeters in centimeters?\nAnswer: 39.28199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1420988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7155 is divided by 192?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*w + 16*p - 11*p, -3*p - 27 = -w. Suppose 7*i - 121 = w*i. Let x(n) = -2*n**2 - 21*n + 16. What is x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00360851 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10330 (base 5) to base 8.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 times 1520?\nAnswer: 2777040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - 169*m - 69*m + 204 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8495.\nAnswer: 5, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -973\/1201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200 + 196. Which is the fourth smallest value? (a) -0.4 (b) 0.3 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 - 170. Solve -5*d + q = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964.09783884838 less than 14?\nAnswer: -950.09783884838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 1081, -5 in descending order.\nAnswer: 1081, 23, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let d be ((1 - q) + -3)\/(-3). Solve p + d*p + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.91 - 3.075. Let v = 0.1 + l. Round v to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 19*b - 78. What are the prime factors of i(-25)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65.9 + -66. What is the biggest value in o, -2.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -k - 11. Suppose 7*s - 2*s = 30. Let g(n) = n**3 - 5*n**2 + 7*n - 57. Let w be g(s). Calculate the highest common divisor of w and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -9)\/(-2) - (-1482)\/(-3). Let v = -490 - a. Solve -v*z + 2*z = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/25)\/((-20)\/50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*t - 6 - 21, -4*t = -4. Suppose 0 = j + 12 + 18. Is 4 a factor of v\/(j\/4)*-15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by -43.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from oormmoddwm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-4 - 2 - -6) + -3)) + 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33811303?\nAnswer: 29, 37, 31511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -5, -1\/9, 39\/19397, -2.8 in descending order.\nAnswer: 3\/8, 39\/19397, -1\/9, -2.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 410796.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*c - 5943 - 1195 = 2202 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5732618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 8. Suppose -10*l + 8 = -12*l. List the prime factors of (-2 - l)*(-148)\/j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -1631, -5855, -14113, -27749, -48107?\nAnswer: -76531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:28 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 + 5*s - 5. Let w be j(-5). Let y be (-36)\/(-10) - 12\/(-30). Sort w, y, 5 in descending order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1437*x**2 + 1. Let s be i(2). Let a = s + 1522953\/265. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1237 - 560. Suppose 4*j - 3*n - 245 = 412, -n = 4*j - b. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101597920 + -4?\nAnswer: 101597916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*z + 3*u + u, -3*z - 5*u + 1 = 0. What is the least common multiple of 6\/4*4\/3 and (-84)\/18*z\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + -3 + (sqrt(325) + 1)*6 + sqrt(325) + sqrt(325)*1*2 + sqrt(325) + -1 + 1) + 0)**2.\nAnswer: 3200*sqrt(13) + 130256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 3. Let a be q(-3). Solve c + a*c - 3*o = 18, -o + 7 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(1\/2)))\/(c\/c**(1\/2))*c**1*c**4)**(1\/9))**(-5\/7) assuming c is positive.\nAnswer: c**(-20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-12 + -16 - -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 17*j**2 + 36*j + 46. Let i be r(-19). Let h(t) = -47*t**2 - 49*t - 35*t + i*t. Let u(f) = 2*f. Calculate h(u(q)).\nAnswer: -188*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:38 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.59. Let j = x - 0.39. What is the closest to 0.2 in -1\/5, 1, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14237 - 313275\/22. Let y = -12026 - -144407\/12. What is the common denominator of y and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-1)\/12). Let p = l - -4. Let c be (-2 + 6)*p\/(-4). Solve -c*b - 4*x + 15 = x, -6 = -2*b - 2*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 35. Let q be d(-14). Let y = q - -10. Let w(i) = i + 14. What is the lowest common multiple of 8 and w(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 7 (c) -2 (d) -0.0597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 7*t - 117. Suppose 2*r - 9 = o, t - 6 = 5*r - 5*o. Solve 0 = -5*u - r*l - 30, -14 = 3*u + 2*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i + x, 0 = 4*i - 9*i + 3*x + 46. Suppose -i*u + 141 = -541. Let s = u - 47. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20769 + 18641.\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rze when three letters picked without replacement from {p: 1, r: 2, h: 2, e: 1, z: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 46. Let j be (-3 + 0 - 0)\/k. Put j, 0.3, 1 in ascending order.\nAnswer: 0.3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2. Let v(x) = -9*x**2 - 7*x + 7. Let r(z) = 4*z**2 + 3*z - 3. Let t = 15 - 18. Let q(m) = t*v(m) - 7*r(m). What is q(y(u))?\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4114*l + 37069. Give i(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.102 - -0.202. Let w = -30 - -26. Which is the second smallest value? (a) w (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igiiigiiigllgg. Give prob of sequence lgi.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*s**2 - 394914*j**2 - 3463*j*s**2 - 3*j*s wrt s?\nAnswer: 4*j**2*s - 6926*j*s - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5056\/9 + -562. Suppose 0 = -3*h + 4*q + 38, 5*q = 2*h + 6*q - 7. Which is the third smallest value? (a) i (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710958 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*m. Suppose -5*z - 6*x + x + 5 = m, 3 = 3*z + x. What is the lowest common multiple of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 - 8*u**2\/13 - 128*u\/13 + 512\/13.\nAnswer: 2*(u - 8)*(u - 4)*(u + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 + 114.8. Let v = g - -17.2. Which is the third biggest value? (a) -2\/13 (b) v (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1331)*2 - sqrt(1331) - sqrt(1331))**2 + sqrt(1331) + 1 + sqrt(1331) + -1 + sqrt(1331) + 6*(-5*sqrt(1331)*-2)**2 + 1.\nAnswer: 33*sqrt(11) + 798617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -609948, -1222791, -1835646, -2448519, -3061416?\n\"Answer: -c**3 - 612836*c + 2889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 0*c + d - 5*d - 4 = 0, 37*c + 0*d - 3*d - 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:28 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*l + 1242 - 5444 = 93*l + 53*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-9)*r**(-11\/6)*r**34\/(r\/(r\/((r\/((r\/(r**(-2\/7)*r))\/r))\/r))*r) assuming r is positive.\nAnswer: r**(943\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 10*z - 10. Let t(l) = l + 0 + 3*l - 4. Let d be t(3). What is the units digit of o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1299774 + -78.8563226. Let x = h - -79. Round x to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.569078 + -993.\nAnswer: -993.569078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 2*x**2 + 4*x - 4. Let y be r(-4). Suppose 0 = -0*h + 4*h + y. Let b(w) = -4*w - 2. What are the prime factors of b(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6274 + 511 + 30842 + 28262 + 8082 - 5678)*(2*h**3 + 3*h**3 - 4*h**3).\nAnswer: 68293*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + 1)\/(2\/(-4814)). Let x = 6863 + w. Round x to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-n**2 + 5*n**2 - 2*n**2) + 1721*n + 2661*n**2 - 939*n + 3 - 2659*n**2 as w + p*n**2 + y*n and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:56 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x + 3*x + 3*x + 4. Let b = -8513 - -8519. Determine f(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31547249 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, -423, -899?\n\"Answer: -476*v + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/18 + (-19)\/6. Let h be (-1)\/4 + 0\/(-8). Let d = -0.7 + 0.2. What is the closest to 0.1 in d, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -384*b - 118. Let c(v) = -194*v - 59. Let n(l) = -11*c(l) + 6*i(l). What is the first derivative of n(f) wrt f?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58 (b) 0.3 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cca60 (base 13) to base 12.\nAnswer: 8b4b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 + -845\/3. Let y + 0*n - 1\/3*n**2 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 1\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**3 + r**2 + 5*r + 2. Is q(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 7}. What is prob of picking 3 v?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*r - 6, -6*c + 24 = -2*c - 3*r. Suppose c*l = 5*l + 3. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10207*p - 3446 - 5107*p - p**2 - 5100*p + 3*p**2 in the form n*p**2 + c + k*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -737910 divided by 147582?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/360 - u**5\/30 + u**4\/6 - 2*u. Let l(s) be the third derivative of m(s). Let q be 5 + 3 - (-6 + 5)*-2. What is l(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1121044011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 7.88, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2535, 5059, 7569, 10059, 12523?\n\"Answer: -h**3 - h**2 + 2534*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t + 3. Let k(y) = -7*y + 2. Give 3*f(h) - 5*k(h).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*r**2*u - k**3 - 6*k**2*r*u + 2*k**2 + k*r**2 - 3*k*r*u + r**2 wrt k?\nAnswer: -6*k*r**2*u - 6*k - 12*r*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*4 - (14 - 12). Let r(q) = 6*q**3 + 6*q**2 + 13*q. Let y(j) = -j**2 - j. Let n(m) = t*y(m) - r(m). What is the second derivative of n(f) wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 42 - 0 - 33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 2. Let s(d) = d**3 - 1. Suppose 5*m - 4 = -2*o, 0 = -0*o - 3*o + m + 6. Determine o*k(u) - 4*s(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-1*-6 + (sqrt(1216) + 0 + sqrt(1216) - sqrt(1216))**2 + -2.\nAnswer: 42*sqrt(19) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 18*w - 20 = 0. What is the derivative of 131*c**2 - 71 - 43 + 0 - 52*c**w wrt c?\nAnswer: 158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2532\/48 + 2\/8 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.0030652 and 13?\nAnswer: -26.0398476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k*k**19)\/(k*k**(-2\/9))**(-17))**(-2\/133) assuming k is positive.\nAnswer: k**(-31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 230381.6 to the nearest one hundred.\nAnswer: 230400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -149780 equal to -149779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 3. Suppose w = 3*v + 6 - 14, 2*v - 20 = -3*w. Let d be (-4)\/r + 14\/v. Solve 5*k = -5*a + 5, d*a - 2*a + 23 = 5*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, -109, 6563, 3 in decreasing order.\nAnswer: 6563, 4, 3, 1, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 4*d)*(d**2 - d**2 + d**2) - 3*d**3 - d + d + (1 - 1 + d**3)*(-20 - 34 - 2).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 32*c - 47*c)*(5*c - 2 + 2)*(-12*c + 5*c - 10*c)*(0 - 1 + 2).\nAnswer: 6545*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.045 - 0.077. Let q = -0.12200078 - j. Round q to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 + 5*w**3 - 161.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361 - 138*g - 2*g**3 - 261*g + g**3 - 39*g**2.\nAnswer: -(g + 1)*(g + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-99)\/(-36))\/11)\/(28877\/28876 - 1)?\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15427, -67, 3 in descending order.\nAnswer: 3, -67, -15427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/9)\/6*1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 102*n**2 + 268*n - 6752. Calculate q(100).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310895107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 29 + 27 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121324 - 5?\nAnswer: -121332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*i + 206, -4*i = -2*i + x - 191. Suppose -4*q = 2*d - 94, 0 = -4*d + 5*q + 116 + i. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11566, 11558, 11522, 11464, 11390?\n\"Answer: h**3 - 20*h**2 + 45*h + 11540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 11, e: 7}. Give prob of sequence ie.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250460 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29730873803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2 + 2)*0. Suppose 0 = -4*n - p + 31, -n - 2*p - 1 + 7 = l. Suppose -n = -0*h - 4*h. Solve 3*u - 1 = -s - 4, 2*s - 10 = h*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**3 - 3*k**2 + 7*k - 5. Let x be m(1). Solve 12*q + 100 = -x*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1721\/2 + 862. What is the closest to 0.1 in -76, 3, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.019 (b) 1.6 (c) 28803 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 6*f + 0*f**2 + 0 + 0*f**3 + 1\/40*f**5 + 1\/24*f**4. Factor t(h).\nAnswer: h**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(18\/5)\/(((y*((y*y\/(y*y*((y*y**(-3\/5))\/y)\/y))\/y)\/y)\/y)\/y**6)*((y**(-3)*y)\/y*y*y**(-7)*y*y*y*y)**39 assuming y is positive.\nAnswer: y**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1971816 - 0.19624. Round r to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -198 and -25606156.\nAnswer: -25606354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -23101750 to the nearest 10000.\nAnswer: -23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25037 and 0.\nAnswer: -25037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -611a72 (base 15) to base 6.\nAnswer: -242510355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 - -317.9. Let v = x + -30. Let p be (-2)\/5 - (-42)\/130. Which is the closest to 0? (a) p (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.655 * -10\nAnswer: -6.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/4*(0 - 412\/120) and -29\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + i - 2. Let z be (-1 + -21)\/((-4)\/18). Let h(c) = -c + 5*c - 4*c**3 + 3*c**2 - z + 92. Suppose 7 = 2*n - n. Calculate n*w(b) - 2*h(b).\nAnswer: b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369.4 - 210.1. Let y = d - 160. What is the closest to y in -2\/5, -0.2, 0.12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*q = 20, 5*f = 4*f - 5*q + 16. Suppose -i - n = -4, n + 2*n = -i - f. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:05 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2127 - -2126. Let h = -2 + 1. Are a and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(-6)\/9*-3. Let i(q) = -2*q - 9. Let z be i(-7). Solve -o - 21 = 4*p, 0*o + m = -4*o - z*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348908, 697721, 1046534, 1395347, 1744160, 2092973?\nAnswer: 2441786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let t(l) = l**2 + 18*l + 21. Let q(z) = -t(z) + 5*w(z). What is the tens digit of q(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let r be (-4)\/(-2) - (-4 - 0). Factor r*j - q*j**2 + 0*j - 9*j.\nAnswer: -3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 2, g: 3}. Give prob of sequence ge.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024393 rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i + 2. Let g(d) be the second derivative of -d**4\/12 + d**2\/2 - 169*d. Let s = -5 + 3. What is s*g(l) - y(l)?\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6405 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: What is -0.28 times 10?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -76, -92, -108, -124?\n\"Answer: -16*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220885 divided by -5.\nAnswer: -44177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134804959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -677\/7 + 97. Which is the third smallest value? (a) -0.3 (b) 23 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Suppose -3*v + 15 = 0, -4*h = -2*v - 0*v + 14. Let q be ((-1)\/3)\/(h\/(-6)). Sort k, q, -4 in decreasing order.\nAnswer: k, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 27. Let w(q) = 8*q**3 - 11*q**2 - 11*q + 11. Let n(v) = 4*v**3 - 5*v**2 - 5*v + 5. Let h(k) = z*n(k) - 4*w(k). Give h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 515043?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgnqnvqw. What is prob of picking 1 q and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1088) + -2))**2 + 1.\nAnswer: -512*sqrt(17) + 17473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. What is the biggest value in p, 0.6, -1\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3 and 3\/(-9) + (2 - (-61)\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/624 and -35\/832.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -101001101000001 (base 2) to base 9\nAnswer: -32211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 29184. Let w(c) = -7*c**2. Give g(w(p)).\nAnswer: -7*p**2 + 29184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/35 - 3 - -2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-4)*2\/3. Let v = -196 + 291. Let j = v + -67. Solve 0 = -5*a - 3*w + 26 + 6, j = 3*a + f*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79405 - -53c?\nAnswer: 79943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59367828 and 6?\nAnswer: 59367828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -15 (c) 1\/2 (d) 0.2 (e) 55 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(3\/5 + (-612)\/45 - -3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + u - 146 = 0, -6*u + 3*u = -a + 62. Put 2, 4, 1, a in decreasing order.\nAnswer: a, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15641008.\nAnswer: 2, 41, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42020, -41870, -41612, -41240, -40748?\n\"Answer: c**3 + 48*c**2 - c - 42068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*i - 9*i. Suppose -i*b - 35 = b. Let u(t) = -32*t - 4. Let o be u(b). What is the greatest common factor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4715168000 rounded to the nearest one million?\nAnswer: -4715000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 585146 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1288)\/1666 - ((-94)\/14 - -6)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12385 equal to -645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 7883917 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 6, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*w**2 - 2*l**2 + 11*l*w - 225*l - 6895*w**2 wrt l.\nAnswer: 2*l*w**2 - 4*l + 11*w - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 64*p**2\/9 + 7*p\/3.\nAnswer: p*(p + 21)*(3*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 1481*w**3 + 1470*w**3 - 2950*w**3 - w**4 - 4*w - 329*w**2 as c*w + i + y*w**2 + u*w**4 + z*w**3 and give y.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 824.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 divided by 2.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10\/(-4) + (-18)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 21. Let l be z(7). Solve -u - 2 = -2*h - 9, l = 4*h - 3*u + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/30*(102\/70 + (-256)\/160)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171594689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 749704.2 tonnes in grams?\nAnswer: 749704200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -50. What is the fourth biggest value in -3\/5, 2\/5, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -375, -490?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113122120222201 - 2?\nAnswer: -113122120222203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 - 24*v**3 - 2012*v**2\/3 - 10600*v\/9 + 5618\/3 = 0.\nAnswer: -53, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68, 76, 84, 92?\n\"Answer: 8*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/24 + 5*k**3\/2 + 16*k**2. Let x be i(-13). Solve 2*t = o - 6 - 9, -x*o + 25 = -3*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -4*y + 2*b + 67 = -1. Suppose 26*l - 110 = 4*l. Calculate the highest common factor of l and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7357798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(6 - (-294)\/(-50)). What is the nearest to -0.2 in -1\/3, 8, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/9))\/(s**(-8)*s))**31\/(((s*s**(-1))\/s)**(11\/2)\/((s*s**(2\/21))\/(s*s**(-3)))) assuming s is positive.\nAnswer: s**(33199\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 71*c**6\/30 + 2*c**4 + c**3\/3 + 74*c. Find the third derivative of n(s) wrt s.\nAnswer: 1704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8225)\/705*(-1)\/((-686)\/7)*-4.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/28 - 66\/(-21). Suppose -p*o - 3 = 3*r, 4*o - 24 = 5*r - 1. Suppose 1\/2 + 1\/4*x - 1\/4*x**o = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(72)*1 + sqrt(72) + sqrt(72) - sqrt(2)).\nAnswer: -68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + l + 2 - 23, 4*z - 4*l = -12. Let c be (-1 + 2)\/(2\/z). Let b(r) = -r**2 - 5*r - 3. Let y be b(c). Solve 0*k = -k - y, 2*a - 4*k = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 - 5*s - 4. Let j(k) = 6*k**2 + 6*k + 5. Let y(n) = -5*b(n) - 4*j(n). What is the units digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 10. Let l be g(4). Solve f - l*f = 3*c + 14, -2*c + 16 = -3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3161825 is divided by 2808.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 10, -2, -30, -80?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31479688*u - 39589205 wrt u?\nAnswer: 31479688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + sqrt(156)*2)*4 - sqrt(156))\/(sqrt(588) - (sqrt(588)*-2 - sqrt(588)))*3)**2.\nAnswer: 14157\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 67 = 7*b + 6*d, 2*d - 7*d - 65 = 5*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from trytytyytyyr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0 (c) 1\/14 (d) -2\/11 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155612830?\nAnswer: 2, 5, 61, 71, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-2\/5))**(-1\/9))**(-11))**16)**(-28) assuming q is positive.\nAnswer: q**(9856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 48575696*p + 48575700.\nAnswer: -4*(p - 12143925)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 110*n - 375 = 0 for n.\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-3 - -7 - -2)) + -3 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 10. Suppose 0 = o - 1, 0 = 2*w + o + 7 + 2. Let q be (-5)\/(-25) + (-49)\/w. Let y be z(q). Solve y = -4*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 - 16*v - 5\/21*v**4 - 8\/7*v**2 - 16\/21*v**3 - 1\/35*v**5. Let b(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 36632?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.3 - 35. What is the third smallest value in z, 2, 0.1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 1148, 1840, 2788, 3992?\nAnswer: 5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - (-8 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.612669 months in millennia?\nAnswer: 0.00005105575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50656413 (base 8) in base 13?\nAnswer: 22ab12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58912*z + 9198 = -58693*z for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (8 - 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(3\/19))\/m*m**(-4\/3)\/m*(m\/(m*m\/m**(-7)))\/(m*m\/(m**(-23)\/m)))**(-43) assuming m is positive.\nAnswer: m**(86989\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**3 + 5*b**2 - 2*b + 3. Let i be f(-4). Let c = i + -393. Let z be c\/14 - 15\/(-35). Solve 0*t + z = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/(20\/(-5))). Let t be 0 - f - (6 + -8). Suppose 29340 = t*g + 8340. Round g to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/17 + -11\/51. What is the biggest value in 0, -0.2, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*j + 14 + 6, 0 = -5*j + 10. Let a(h) = -h + 3*h + 7 + 2*h**2 - 2 - h**3. Let p be a(3). Solve p*t = 6*t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.3206 litres in millilitres?\nAnswer: 826320.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/11, 2\/5, 0.104, 3\/4, 23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) - ((-43725)\/(-20))\/(-15). Let c(x) = -x**3 + 146*x - 4*x**2 + 2*x**2 - 2 - m*x. Determine c(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 11*w**2 - 11*w + 8. Let d(o) = -6*o**3 - 12*o**2 + 12*o - 9. Let m(c) = 6*d(c) + 7*s(c). Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145350464 to the nearest 1000000.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:44 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/2 - 107336493*r - 3840374243179683\/2 = 0.\nAnswer: -35778831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p**4 - 1\/168*p**8 - 2*p**2 + 0*p + 0*p**3 + 0*p**7 + 0 - 1\/60*p**5 + 0*p**6. What is the third derivative of m(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5277 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 5, p: 4, s: 7}. Give prob of picking 2 q and 2 s.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -365605761\/7 smaller than -52229393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53\/6 of a hour?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3\/7 + 9*u**2 + 736*u - 19995\/7 = 0.\nAnswer: -31, 15\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86955 and 204.\nAnswer: 347820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 194\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14765 - 4570?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(480\/(-12))*(56\/35)\/(-2).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.056 - -0.256. Which is the fourth smallest value? (a) w (b) -1\/2 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 - -194. Let j - 2\/9*a - 2\/9*a**3 - 4\/9*a**2 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 10. Let j be v(-3). Let k be 5 + -4 - (j + 0). Let b(c) = -c**3 + c - 6. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*u + 517*u + 2853*u.\nAnswer: 2819*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7295.89 millilitres?\nAnswer: 7.29589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 6\/(-24))*-8)\/(66\/(-231)) + -54?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2609633 and 5232929?\nAnswer: 13663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, l: 4, u: 5}. Give prob of picking 1 u and 1 j.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**6\/360 - 3*t**5\/40 - t**4\/2 - t**2\/2 - 102*t + 2. Let z(b) be the third derivative of y(b). Give z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369 is divided by 264?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/447, 4, 415 in increasing order.\nAnswer: 1\/447, 4, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 28. Which is the closest to l? (a) 0 (b) 4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 19 + -14 + (-5 - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137398344 or 961788399\/7?\nAnswer: 137398344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -7) + 9 + 9 - 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (241*a**2 + 2 - a**3 + 232*a**2 - 483*a**2)*(3*a - 10 + 11 - 6) to d*a + f*a**2 + g + z*a**4 + w*a**3 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8853\/454*(-80)\/52.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 23*q**2 + 67*q + 680. Give j(27).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 25. Let a be v(17). Let c(y) = 52*y + 2. Let i(m) = 62*m + 2. Let n(u) = 6*c(u) - 5*i(u). What is n(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugxgucugxufuuu. What is prob of picking 1 f and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 253*u + 434*u - u**4 + u**2 - 147*u as t*u**4 + h*u**2 + v*u**3 + w + r*u and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9404729816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3, -2\/3, 3\/38, 1\/7, -3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6*l - 8*l = 1209, -4*v - l + 1612 = 0. Let u be -1*(248 - 1)*1. Let n = v + u. Is 48 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*x**5 + 53*x**4 - 2*x**2 - 4844*x - 6 wrt x.\nAnswer: -1580*x**3 + 636*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 39*b = 30. Suppose a = 3*a - 8. Suppose 4*t = -5*i + a, 0 = t - b*i - 0*i + 16. Sort -1, t, -11 in descending order.\nAnswer: -1, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-102)\/(-72)*44)\/(32\/(-12) - -3) is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 + 137840*m + 413556 = 0.\nAnswer: -3, 34463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660896 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h - 3. Suppose 5*c - 30 = -20. What are the prime factors of f(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-27019)\/33948 + 16\/36 + 0 and 139\/30.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2622*y + 31. Is h(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20782 (base 12) to base 4\nAnswer: 22121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - -14 - (-4)\/(-2). Suppose 6*w - c*w = 84. Suppose -1 = 4*n - w. Solve -n*g = -2*v + 8, -2*g + 7 - 23 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228604?\nAnswer: 2, 67, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17016 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j. Let p be a(1). Suppose 9*b - p = 10. Solve -3*w = b*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 24 + 23)*(-2*q**2 + 2*q**2 - q**2)*(-5*q**2 + 4*q**2 + 0*q**2) to the form r*q**3 + v + b*q + m*q**2 + g*q**4 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whh when three letters picked without replacement from whwwhwhwhwhhwhww?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94074, -376258, -846566, -1504998, -2351554, -3386234?\nAnswer: -4609038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2013 - 2008 = 4*a - 4022, 0 = -g - a - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49.72 or 84?\nAnswer: 49.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 11. Let d(x) = x - 4*x + l*x - x. Let q(r) = 3*r**2 - 4*r. Let g(b) = b**2 - b. Let a(y) = 4*g(y) - q(y). Give d(a(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) 151 (d) 0.1 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(105 + 119 + 3316*u - 3315*u)*(19 + 9*u - 19).\nAnswer: 27*u**2 + 6048*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 142 - 841. Let q = p + -122. Suppose 4*n = n + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 62, 192, 468, 938, 1650, 2652?\n\"Answer: 8*o**3 + o**2 - 27*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*g = 0, 3*g - 10 = g. Suppose 0 = 2*b + 2*l - 238 - 36, -5*b + k*l + 685 = 0. Calculate the remainder when b is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1325, -1159, -783, -191, 623, 1665, 2941, 4457?\n\"Answer: w**3 + 99*w**2 - 138*w - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a + 35*a - 7*a)*(3*a - 2*a + 3*a).\nAnswer: 160*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -853949*z**3 + 14*z**2 + 1139*z + 1?\nAnswer: -5123694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.827 to zero dps.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 23\/530134?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-2))\/(6\/32). Suppose 2*a = -0*y + 5*y + 274, 5*y + 286 = -2*a. Let c = t - y. Calculate the highest common factor of 80 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6354018 or 6354017?\nAnswer: 6354017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -2426, -3578, -4726, -5870?\nAnswer: -7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 0, 6 in decreasing order.\nAnswer: 6, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-9)\/(-3) + -4). Find the second derivative of 3*o + o**2 - o**4 - o**4 - o**t wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2858 and 12.\nAnswer: 17148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*x - 5 - 9, 5*x + 4*d - 11 = 0. Suppose -2767 = -4*w + 3*k, x*w - 3*k - k - 2070 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:28 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.9 and 30.7017.\nAnswer: 26.8017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -20. Let i be 3*(112\/y - 0). Let t be 76\/224 - 8\/i. Is 2 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205539 = -249*l + 216495 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7443 + 149?\nAnswer: -7294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:17 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 42790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*w - 3*b, -2*w + 6 = -2*b + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10331 + 10331 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r - 2*r + 0*r + 5*r - 3*r + (-5 + 2 + 5)*(-3*r + 5*r - 4*r))*(3 - 2 - 3)*(-3*r**2 - 2*r**2 - 8*r**2).\nAnswer: -130*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -14090 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6180000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 127.4. Round b to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 = -o + 6*n, 48 = 2*o - n. Calculate the highest common divisor of 234 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*b**3 + 228.\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4*r - 5*b - 8781, 0 = -b. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18892.\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5355 + 1.4355. Let i = -1.6 - -1.3. Sort x, i, -2\/9, -0.4.\nAnswer: -0.4, i, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -13*a - 6. Suppose -x - 2*n + 61 = 0, a*x + 5*n = -3*x + 315. What is the units digit of (-4)\/22 - (-1)\/(55\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -155984*g*k - 6*g*z**3 + 411*g*z**2 + 11*k*z**3 - 179*z**3 - 2*z + 2 wrt k.\nAnswer: -155984*g + 11*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012873 rounded to 6 dps?\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11531*w - 105077. What is i(-9)?\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 515 - 335. Suppose 10*s + k = 25*s. Let b = 13 + -8. Solve -a - 9 = b*v + 6, 4*v = -2*a - s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose -x*m - 7 = -3*m. What is the lowest common multiple of 6 and (-11 - -9) + (m - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2008*f**2. Let v(c) = -c**2. Calculate v(n(h)).\nAnswer: -4032064*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*s - 306*s + 187*s)*(-4*s + 2*s + s).\nAnswer: 330*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, 4*a + 2*c - 132 = 94. Let m(d) = -a - d + 57. Let q(u) be the first derivative of u**3\/3 + 1. Give q(m(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 10. Suppose 4*s - 4 = 5*t, 5*s + 12 = -0*t + 2*t. Let z be d(t). Suppose -z*h = -4*h + 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612573?\nAnswer: 3, 13, 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*m - 39, 3*w + 39 = 3*m - w. Let t = m + -9. Is 4 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:54 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, t: 2, y: 5}. Give prob of sequence ll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -370, -478, -586, -694?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-1\/28)*q))*q*q**(4\/17))**(2\/47))**(-2\/45) assuming q is positive.\nAnswer: q**(-349\/83895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 493 - 165f0?\nAnswer: -1615d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 18*i - 3*l + 52811, 3*i - 2*l = 158499. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2666154 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2479450\/(-46750) - (-159)\/3?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngaarangyraf. What is prob of sequence yga?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20991490 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10b - b2e83?\nAnswer: -b308e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 4*v + 43 = -8*k, 0 = -4*k - 4*v + 52. Solve 5*j + 20 = -4*t, -4*t - 13*j + k*j - 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.929524 rounded to three decimal places?\nAnswer: -16.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -69. Let g be 33\/77 - 375\/r. Calculate the highest common factor of g and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1236036368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 z when four letters picked without replacement from jzzjvvvjjjjvvjjjzjz.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 8, 5, -10\/9, 15, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 296660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjvdrdjdrrrdrrrrrj. What is prob of sequence jr?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11841714 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.046 - 1.904. Let k = p - 0.05. Let z be (-7)\/2*1\/(-7). What is the nearest to z in 3\/4, k, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5*m. Let w be q(5). Let g = w - 0. Let n = 8 + -7. Which is the nearest to g? (a) -2 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5 + ((-32706)\/36)\/(2\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 106. What is the lowest common multiple of 23786 and j?\nAnswer: 142716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*s - 72, 2*s = 5*s - 12. Suppose 0*l - f = -2*l. Let a = l + -4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2738 and -71\/8.\nAnswer: 10952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00805899112 rounded to five decimal places?\nAnswer: 0.00806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:43 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 + -143. Calculate the remainder when x is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:17 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/(9\/(-24)). Let x be 1*o*12\/312. What is the second biggest value in 0.3, 4, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*i + 220. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*c - 24*c + 21*c)*(0*c + c - 2*c + 5*c).\nAnswer: -152*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 249614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/13970 and -54\/15367?\nAnswer: 153670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*g + 85*g + 16 = 0. Suppose -a - 4*y - g = 0, 4*a + y = 6*a - 1. Factor a + 0*w**2 + 0*w - 2\/3*w**3 - 1\/3*w**4.\nAnswer: -w**3*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519070.\nAnswer: 2, 3, 5, 83969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*u**3 + u**2 - 100*u?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - (-202)\/4. Suppose -2*f + 5*f - a - r = 0, 2*f = -2*a + 26. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202744892 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17872183 is divided by 68?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*g + 6 = -g, 0 = -2*b - 3*g + 19. Find the third derivative of 1 + 8*f**2 + 3*f**b + 1737*f**5 - 1665*f**5 wrt f.\nAnswer: 4320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 42*n**2 - 22*n + 12. Let j be x(-10). What is the highest common divisor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-39 - -14) + 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7045064 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/584 and -31\/10?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 130 = 12*i. Calculate the remainder when (-6*152\/12)\/(-1 + 0) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3941688?\nAnswer: 2, 3, 17, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Let m be 0\/2 - -2 - -2. Solve -17 = g*z - t, m*z = 2*t - 6*t - 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26883 + 27515. Solve -10*o - 652 = -t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*x**4\/7 + 1198*x**3\/7 - 660*x**2\/7.\nAnswer: -2*x**2*(x - 66)*(9*x - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/2, 1, -13, 1\/3, -466 in descending order.\nAnswer: 3\/2, 1, 1\/3, -1, -13, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2080a + -18?\nAnswer: 207d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22622579 to the nearest integer?\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 4*y + 2. Let p be t(-3). Let w = -8 + 13. Suppose 8 + 17 = w*x. Solve -r - 5*u + 10 = -u, -p*r = x*u - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92\/(-28) - (0 + -3). What is the closest to p in 8, 3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 16\/3*i**2 + 0*i**3 + 0 - 4*i**4 + 4\/3*i**5.\nAnswer: 4*i**2*(i - 2)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 2*u**2 - 5*u - 2. Give r(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 5*d**3 + d**3 + 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 964523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22709 divided by -22709\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (32 + (-30 - -19)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n + 2*n)*(-4 - n + 4) + (2*n - 3*n + 0*n)*(n**2 - 5*n + 5*n) - 4*n**2 + 4*n**2 - n**3 + (1 - 5 + 5)*(3*n**2 - 3*n**2 - n**3).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((-2 + sqrt(76))*-4)**2 - ((sqrt(76)*2)**2 + 0)) + -1) + 5.\nAnswer: -2920 + 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 3. Let f be (18 - (0 - 1)) + 1. Let d = 14 - f. Calculate o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(64)*2)*-4)\/((-4*sqrt(72)*1)\/sqrt(9)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1421*b + 1438*b. What is the fourth smallest value in b, 0.2, 8, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*532\/(-456)*3*(-1)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 351. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 26*b)*(-1 - 2*b + 1).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 + 4*n**3\/3 - n**2. Let y be z(0). Let l be 2 - (2\/2 - 1). What is the greatest common divisor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 6176, -0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 3980 - 4035 + 2*i - 4*i. What is r(9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*p = -27, 927 = 42*r + 2*p - 3*p + 975 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120519 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3006756 divided by 44217?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -38.\nAnswer: -38.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92903106 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Let q be o\/26 - 296\/(-104). Suppose -6*c + 33 = -q*c. Solve -c = -4*s - w, 3*s - 8 = w + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b779 (base 12) in base 3?\nAnswer: -1000120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15683975513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/10 - 2*r**3\/15 - 2*r**2\/5 - 4. Solve o(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13730102 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8227*p**2 - 32921*p + 34. Determine v(-4).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/5*g**3 - 1056\/5*g - 3\/5*g**4 + 504\/5*g**2 + 144.\nAnswer: -3*(g - 2)**3*(g + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from dlkqtttddll.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7816 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*t + t - 4*n, 5*t + 9 = -3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2003908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + 2*q - 56 + q - 6*q.\nAnswer: -3*q + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-3)*(-13)\/(130\/332). Let y = b - 1. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + 0 + sqrt(99)*-1 - -3*(2 + 0 + sqrt(99))*-5.\nAnswer: -48*sqrt(11) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:24 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 84997*k - 510039. Give a(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1731567 * -4.8.\nAnswer: 8311521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 - -94c9?\nAnswer: 952b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33881387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -10. Suppose 3*o + 5 = -2*o, -f*k + 12 = -2*o. Suppose 0*b = -k*b + 8. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 12, -4*r + 6*n = 2*n - 3728. Let d = 1437514 - 1437436. Calculate the remainder when r is divided by d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - s)*(-1287*s**2 + 1287*s**2 - 33*s**4 - 3*s**4 + 3*s**4 - s**4 + (0 + 0 - 2*s**2)*(-2 + 2 - s**2) + s**4 - 2*s + 2*s - 16*s - 32*s**4 + 16*s).\nAnswer: 63*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -28.34. Round q to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 313, 385, 483?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.3 + 10.47. Which is bigger: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863, -198, -1259, -2320?\nAnswer: -3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 105, 172, 297, 498, 793, 1200, 1737?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5077, -10157, -15233, -20305?\nAnswer: -25373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64058, 127346, 190634?\nAnswer: 253922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**3 + 78*j**2 + 114*j + 46. Determine i(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 46*2\/12 + 120022\/(-25719)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150013738 to the power of 1\/2, to the nearest integer?\nAnswer: 12248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/15*(-54)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4 + sqrt(1377)*4*1 + (sqrt(1377) + -3)*-3)*-2)**2)*1.\nAnswer: 936*sqrt(17) + 6188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*m + 4 - 14 = 0, 14 = -5*c + m. Let a = -1 - c. Let b be (3\/20)\/((-9)\/(-8)). Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(0 + 0 - 1) + 0 - 4 + 1)*(-3*f**3 + 1 - 1) - 4*f**3 + 0*f**3 + 3*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = -103 - 133 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 10)*(-261 + 261 + 37*t**2)*(-3*t + t - 3*t).\nAnswer: 555*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6218.83 + -5947. Let u = p - 273. Sort u, -3, 0.1 in decreasing order.\nAnswer: 0.1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 - 2*c**2. Let q(k) = -23*k**3 + 16*k**2 - 20*k - 2. Calculate -6*m(u) - q(u).\nAnswer: -u**3 - 4*u**2 + 20*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*x + 28, -x = 2*q + 3*x - 20. What is the remainder when -17*(3 - (-12)\/(-3)) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128360 divided by 40\nAnswer: -3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqyqqeqq. Give prob of picking 1 e and 1 q.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 15003)\/((-9)\/1860). Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84161, -84152, -84155, -84176, -84221, -84296?\nAnswer: -84407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y + 230*y - 2952 = 58*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6662000 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4592.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*i - 1503 + 800*i - 1598*i + 1510.\nAnswer: -2*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*u. Suppose 0*n + n = 1, 32 = -k + u*n. Which is bigger: -28 or k?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0.4, -8 in descending order.\nAnswer: 39, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 5*m - 3*z + 28, 0 = -3*m - z + 61. Let k = -20 + m. Suppose -x - c = -1, -k*c + 1 + 1 = x. Solve 5*d - 30 = -x*d + 5*r, -5*r = -d + 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 4, u: 2, s: 1, h: 4, k: 3}. What is prob of sequence uuc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 951044.09 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 118. Suppose -11*u - 130 = 288. Let z be t(u). Solve z = 67*x - 71*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41243444 (base 5) to base 14.\nAnswer: -8ad42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6*q + 5*r = 1033, 3*r = -3*q + 1554. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*195\/78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 29*i + 4. Let j(y) = -y - 1. Calculate 4*j(t) + k(t).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24 = 3*v, -9*c + v + 7 = -5*c. Find the third derivative of -3*q - 6*q**c - 29*q**3 + 5*q**2 + q + 156*q**3 wrt q.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131841898 at most 1131841897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 1210936*f**2 - 7265643*f + 10898478.\nAnswer: (f - 3)**2*(f + 1210942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37857024 by 10954.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -178. Let d = -0.7 - 4.3. What is the closest to n in d, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9779621.\nAnswer: 257, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 54 - 369. Calculate the least common multiple of q and 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37686330, -75372661, -113058992?\n\"Answer: -37686331*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -71, -102, -131, -158, -183, -206?\n\"Answer: t**2 - 36*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 + -206. What is the tens digit of ((-102)\/(-15))\/(n\/420)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:32 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 2407?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 22822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 321191686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7970.69305 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24408 is divided by 1004.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -733*r + 65. Is 13 a factor of l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/7 - 4\/14. What is the highest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 37*z**2 - 20*z + 75. Determine b(-19).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 15*q + 640 + 7*q - 211 - 219 - 211.\nAnswer: -8*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/11 and 71\/141.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 268, 1088, 2454, 4366, 6824, 9828?\n\"Answer: 273*g**2 + g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1166 by 47.\nAnswer: 1166\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 - 10 = 0. What is the highest common factor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -323. Let w = 213 + l. Let x be -4*((-9)\/10 + 1). Which is the nearest to 3? (a) -4 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + z + 971. What is the tens digit of r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598 divided by -18?\nAnswer: -2299\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = p + 7, -2*p - 1 = 1. Suppose 20 = w*y + 3*y. Solve -2*z + y = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3*y + 8. Calculate g(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 10*y + 14. Let q be u(11). Let a(n) = 2*n - 2 - 1 + n. Let h be a(2). Is h < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 497.\nAnswer: -15\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82760 + 82760 - 6*f**2 - 125*f + f**2 to a*f**2 + q*f + v and give q.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2567 + 2554. Which is the nearest to g? (a) 2 (b) 0.02 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i = -62*i + 1390. What is the units digit of -19 + i + -2 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 935*w**2 - 3 + 46*w**2 + 176*w**2 + 5)*(-134 + 53 + 67) to s*w**2 + u*w + f and give s.\nAnswer: -16198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:47 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3702*n**3 + 1249*n**3 + 1264*n**3)*(-2 + 4 + 2).\nAnswer: -4756*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -1\/200*c**6 + 0*c**2 + 1\/6*c**3 + 1\/50*c**5 + 0 - 2*c + 1\/10*c**4. Let m(s) be the second derivative of u(s). Factor m(n).\nAnswer: -3*(n - 2)*(3*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**4\/8 - r**3\/6 - r**2. Let l be (-147)\/(-14) + (-2)\/4. Let u(n) = 1 - 1 + 6 + l*n - 2. Determine -14*p(g) - 4*u(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by 3?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gydgdgddyggdy. Give prob of picking 3 y and 1 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/15, -19 in decreasing order.\nAnswer: -2\/15, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011001011011 (base 2) to base 7.\nAnswer: -55366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7 = 3*j - 3, f = -3*j - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660099 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-26)\/6. Suppose 0 = 5*f - 10*f - 25. Sort 3, x, f in increasing order.\nAnswer: f, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 - 18*k - 17 = 0. What is k?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*i + 4*i. Calculate the remainder when 18 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3826 = -1478. What are the prime factors of d?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 2*y**5 - y**5 + (4*y**4 - 6*y**4 - 4*y**4)*(2 - 2 + y) + 0*y**5 - 3*y**5 + 4*y**5.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3 + (sqrt(272) + 1)*-5)*-2 + -2)*2)**2 + 5)*6*-3.\nAnswer: -1972602 - 80640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbkbbkbkbkkb. Give prob of sequence kkb.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (40\/(-30))\/((-8)\/6). Suppose 17*g - 19*g - r*x - 100 = 0, 80 = -g + 5*x. Let l = -70 - -10. Is g at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -560.1336 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1) + (9 + -15 - (10 + 7))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750145?\nAnswer: 5, 11, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855972187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -43. Suppose -3*x + y + 0 = 0. Suppose -j + 0*j = 2*p - 139, 0 = -2*j - x. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 - 4*q**2 - 16*q + 9. Let u be (-4)\/(-10) - 418\/(-55). Is p(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 6. Let w be o(5). Suppose w*a - 60 = 4*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-51)*1749\/(-2). Suppose -3*x - 5*r + u = 0, -x + r - 4*r = -201. What are the prime factors of -3 - x\/(-9)*3?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065.8976 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326954 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: Is 4091364 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 7*r - 59*r.\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -10*f + 18. Let x = f - -3. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 4*j**2 - 7*j + 29. What is the hundreds digit of i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (124605\/(-12922))\/(1 + 20\/(-14)). Factor 3\/4*k**4 + 87\/4*k**2 + 0*k + q*k**3 + 0.\nAnswer: 3*k**2*(k + 1)*(k + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0*b**3 + 2*b**3 + 5*b**3 - 25*b**2 - 53*b + 9*b**3 - 15*b**3 - 27 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 1131*o**4 - 9150*o**3 - 290688*o**2 + 508320*o + 7948800 = 0 for o.\nAnswer: -12, -5, 6, 20, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 35*t**2 + 46*t + 11. What is the hundreds digit of g(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4593dbe - -3?\nAnswer: -4593dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711933674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from nxnknnknkuxenknxeu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*u - 12, 0 = -0*u + 4*u - 8. Solve -q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77454912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6416\/(-720) - -9)\/((-2)\/18*-2). Are g and 1975 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.3 + -27.8. What is the closest to 2 in -4, 4, i, 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43377242.\nAnswer: 2, 21688621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.241886 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (3 - 5) + -98 - -1. Let b = 116 + o. Calculate the greatest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - sqrt(10))*1)\/(3*sqrt(320)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76\/3 + -25. Which is greater: v or -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 - j**2 + 5*j**2)*(-100966*j - 4800*j**2 + 100966*j) to f*j**4 + i + r*j + d*j**3 + u*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -7.\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 6*d - 4. Let h(c) = c**2 - 5*c + 5. Let x(p) = -3*h(p) - 2*s(p). Let j be 6\/9*30\/(-4). Let u be x(j). Solve z + 0*z - u = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 724 + -787. Let a be (-5 + 30\/18)\/(6\/w). Put -4, 5, a in ascending order.\nAnswer: -4, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 120, 172, 216, 252, 280?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/10 - 7*k**2\/2 - 5*k. Differentiate w(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -79. Is 2\/43 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.45000263 + 5.45. What is n rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/15 + (-32)\/10. Let m(k) = 0 - 9 + k + 13 + 2*k + 3*k**2. What is the remainder when m(u) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 5*t - 3. Let i be h(-6). Let k be (-14)\/63 - (0 + 735\/(-27)). Let w be (k\/45)\/3 + 2\/2. Which is the biggest value? (a) i (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601405 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 1 - (-16 - -6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16013.9811344 - -0.099.\nAnswer: 16014.0801344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f**2 - 65*f**2 + 136*f**2 - 3773*f**3.\nAnswer: -3773*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21133 + 213212131?\nAnswer: 213130332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 divided by 1?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 225610 and 0.2.\nAnswer: 45122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*w + 4*k = 586*w + 189, -172 = -12*w - 4*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/5 (c) 11 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 196128 take away -3?\nAnswer: 196131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.204 - 21.426. What is m rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1955.6 + 1956. Put 14, 42, -5\/4, t in decreasing order.\nAnswer: 42, 14, t, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:24 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from oiibbiobroobixbixx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418800788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4906784645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 33*k - 2. What is the tens digit of i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 23. Suppose -28 = -o*u - 19. Suppose -u*j + 0 = -48. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(1*sqrt(4)))**2 - sqrt(20)) + (sqrt(315)\/sqrt(7) - sqrt(5) - ((sqrt(10)*1)\/sqrt(2) + sqrt(5))).\nAnswer: -2*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*g + 272*g + 324*g.\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0, -5, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - sqrt(504)*1*6)\/(-5*sqrt(108)))\/((sqrt(72) + -1*sqrt(72))\/sqrt(12) + 3*sqrt(726) + sqrt(6)))**2.\nAnswer: 7\/10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108 + 1121 + (15 - 3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/15774 and -83\/24.\nAnswer: 63096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627923353?\nAnswer: 3121, 201193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/460*-115*((-5)\/(-21))\/5.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*h - 25, -2*n - 5 = -2*h - h. Suppose -d = -h*i - 31, 4*d + 4*i + 80 = 6*d. Suppose 3*b - 78 = -5*o, 3*o + 58 = 4*b - d. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3 + 5\/4*a**4 + 0*a**2 + 0*a - 2. What is the third derivative of v(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147719305 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575968071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u + 500 + 509 - 1009.\nAnswer: 97*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/11)\/((-828)\/(-1012))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28748041?\nAnswer: 7, 4106863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 9702 - 5333. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -20 - (22 + -23 - (4 + -2 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from irrdbddiiabdvdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Suppose 4*d + y - 3 - 1 = 0, -8 = -5*d - 2*y. Let b be (2 + 1)*(-2)\/(-3). Suppose d = -b*a - 0*a + 4. What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -17*r - 51. Calculate the remainder when 84 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -208769174, -417538349, -626307524, -835076699, -1043845874, -1252615049?\n\"Answer: -208769175*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -110, -1\/8, -0.5, 2\/9.\nAnswer: -110, -3, -0.5, -1\/8, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 859, 982, 725, 82, -953, -2386, -4223?\n\"Answer: -m**3 - 184*m**2 + 682*m + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 0*d + 2 + d + 0. Let r be (18\/6)\/((-9)\/12). Let k(b) = 10*b + 11. What is r*k(c) + 22*h(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d - 5*b + 56, 5*b = 20. What is the greatest common divisor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let r = 4.9 + 0.1. Let s = -0.04 - 0.26. Which is the nearest to 1\/4? (a) s (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7948, 2\/13, -1.1855?\nAnswer: -7948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 6, d: 5, g: 1}. What is prob of sequence qgqs?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18591238283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.3, 6, 3, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13468 and 39858.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512508.\nAnswer: 2, 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let b = 28 - y. Let j be 4\/b + 10\/(-234). Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 453.1 - 454.4. What is the closest to 1 in 1\/7, z, -2\/11, -4\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1289 = 5*t, -4*t - 4*g = -3*t - 268. Suppose 2*i + 4*z - t = -2*i, -319 = -5*i - 4*z. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1582 + 1121. Let t = -349.7 - c. Let l = -121 + t. Round l to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91775795 by 2.\nAnswer: -91775795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7)*f*f)\/f**(-35))\/(f**(1\/56)*f**16))**6 assuming f is positive.\nAnswer: f**(3477\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52248*u - 52259*u + 5071. Solve -u*p + 468*p = -42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264401103 rounded to the nearest 100000?\nAnswer: 264400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-45) - (-16)\/(-72). Let w be 110492\/575*(-2)\/(-4). Let n = w + -96. What is the biggest value in n, -2, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 307, 5, 0.5, 0.07958?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 a factor of 331276523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 904 and 74072?\nAnswer: 8370136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/60 + 21*d**5\/10 + 441*d**4\/4 + 3087*d**3 + 4*d**2 - 16. Find k, given that q(k) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*s**3 - 10 - 26464*s**2 - 26468*s**2 - 5 + 52932*s**2 to the form c*s + y*s**2 + m + w*s**3 and give w.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00695 + -4.23605. Let v = 0.757 - z. What is the closest to -9 in v, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 39 = 0. Suppose 6*v + 26 = 2. Put 5, v, -3, s in decreasing order.\nAnswer: s, 5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148*z - 173*z + 188*z - 2)*(0*z**2 - z**2 - z**2) to p + b*z + a*z**2 + s*z**3 and give s.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -374.\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14862 - -14981. What is the remainder when 805 is divided by f?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Suppose -k*a + 3*v + v + 12 = 0, 0 = a + v - 15. Factor 4 + 9 + 3*w**2 - 1 - a*w.\nAnswer: 3*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f - 4*n + 193 = -52*f, -3*f - 2*n - 565 = 0. Let r be 7\/f*-9*0. Solve r = c - 9*c + 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 489203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -27. Suppose 4*d - d = i. Factor v**3 + 4*v**3 - 5*v**d - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -5)\/(-1 + -1). Suppose -5*k - 194 = -t*r, 140 = -4*k - r - 23. Let p be (-5)\/k - (-6)\/16. What is the second biggest value in 0, 5\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 9*o**5\/20 + o**4\/6 - o**2 - 102*o. Let k(g) = 44*g**3 + 11*g**2 - 11. Give 2*k(x) - 11*t(x).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10277*m**2 + 11*m + 20. Let a be b(-12). Round a to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114901 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -630069.72 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 divided by -6?\nAnswer: -265\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 2*n**2 + 85*n - 228. What is w(5)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -709.034?\nAnswer: 141.8068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4 + 2*sqrt(112) + (sqrt(112) - (sqrt(112) + -5*(sqrt(112) - (2*sqrt(112) - sqrt(112))) + sqrt(112))) + sqrt(112)*-2 + 2)*2*4)**2*-1.\nAnswer: -12352 + 4608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 0, 2*v + w = -w + 12. Let q(t) = 2*t + 4 - 6*t + v*t. Calculate q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.301ng in grams?\nAnswer: 0.000000617301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -10302*u**2 - 2568. Let z(a) = -a. What is y(z(p))?\nAnswer: 20604*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*a. Suppose 0 = -3*r - a*r + 27. Suppose 0 = 4*m - r*m + 10. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2974.1 - 2973.1. Let f = -4.9 + 5. What is the closest to f in -25, 1\/7, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541122662.\nAnswer: 2, 3, 256853777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7327152 (base 9) to base 7.\nAnswer: -45165464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31*u\/((u*u*u*u**(-2\/65))\/u) assuming u is positive.\nAnswer: u**(1952\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 4*m + 4. Let r be h(3). Suppose 4*d + 8 = -2*c, 2*d + 2*d = 3*c - 18. Let v = d + r. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -11) - (-80 + 65)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*-7*(-22)\/(-77).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from {z: 7, a: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4872534 to three dps.\nAnswer: 1.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15384 less than or equal to -15384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 386433 = 28*i + 7*i. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. Let i(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + u**2 - 5*u - 14. What is i(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1.3, -5, -18?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyvy when four letters picked without replacement from {c: 7, h: 3, y: 3, v: 1, l: 2, g: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let x = 132.9511 - 133. Let f = 0.2489 + x. What is the closest to 0 in f, -4, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05492 and 1.579787.\nAnswer: 1.634707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 2 + g - 2*g. Let d = 15110 - 15113. Calculate q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -316384*j - 17084730. Calculate x(-54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 72055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 2*(-1 + 0). Suppose 0 = -v*t + t - 5. Suppose 7*a - 3*a + t*z = 21, 3*a = 5*z + 7. Put a, 2, -5 in descending order.\nAnswer: a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -1299*k + 1302*k + 24 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabbpkbququu. What is prob of sequence pu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*n - 3 + 7 = 0, -5*i - 4*n + 100 = 0. Solve 3 = i*j - 93 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730091 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:04 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 minutes after 2:51 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m*(m\/m**(1\/3))\/m)\/m*m*m)\/m**(-12))**(1\/23)*m**0\/m**(-3\/5)*m**(1\/2)\/m**0 assuming m is positive.\nAnswer: m**(1229\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/(4\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20027 (base 8) to base 5.\nAnswer: -230330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -x + g - 12, -2*x - 5*g - 64 = 0. Let q(v) = -v**2 - 33*v - 33. Let a be q(x). Let t = -19.995 - 0.005. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103 and -32.9?\nAnswer: 3388.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(3*d - 1 + 1) - 7*d - 13*d + 3*d + 4*d - 4*d - 2*d in the form m*d + w and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4, i: 3, m: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-56)*-2*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 16) + 7 + -7 + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*q**4 + 35*q**4 + 32*q**4 + 85*q**4 + 81*q**4 - 53 with respect to q.\nAnswer: 748*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 52\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -5, 0.026462 in decreasing order.\nAnswer: 0.026462, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 204200*a**2\/3 + 816832*a\/3.\nAnswer: -2*a*(a - 4)*(a + 102104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 10 = 7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 215405.\nAnswer: -143\/215405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -19*i**2. Let t(f) = -1122*f**2. Let p be (-3)\/14*3094\/(-156)*28. What is p*a(x) - 2*t(x)?\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1421*n - 8*n**2 + 2798*n**3 + 4875*n - 1082*n**3 + 10*n**2 wrt n?\nAnswer: 10296*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v*v*v**(-4\/3))\/((v\/(v**(-3)\/v*v))\/(v**(5\/6)\/v)) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*a*f*w**2 + 10*a*w**2 - 2*a*w + 6*f*w**2 + 2 wrt f.\nAnswer: -8*a*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 663.6.\nAnswer: -66.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-3456))\/((-171)\/92340)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2953?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**2 + 41. Let n(x) = -7*x**2 - 21. Let t = 82 - 69. Let i(b) = t*n(b) + 6*a(b). Differentiate i(w) wrt w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*k**4 - 179*k**4 + 135*k**4 + 3 - 3 + k**4 + (k**2 - 4*k**2 + k**2)*(0*k**2 - 3*k**2 + 0*k**2) + 2 - 2 + 2*k**4.\nAnswer: -305*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 341 (b) 0 (c) 3 (d) -44 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 139 = -141. Suppose 5*t + 2*t - q = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -414 (b) -0.4 (c) 0.1434 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 30390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*v + 11456, -5*c - 6*v + 4*v + 28632 = 0. What are the prime factors of c?\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 8*q**2 - 4. Let s be p(-8). Let g be (-135)\/35 + (-1 - s). Which is the third smallest value? (a) -1\/5 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -11, 3, -7 in increasing order.\nAnswer: -11, -7, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1454*d - 721*d - 731*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 1. Let f(x) = -18*x - 4*x**3 - 2*x - x**3 - 14 + 42 - 5*x**2 + 6*x**3. Calculate the least common multiple of f(8) and t(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 581273226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 9*q**2 - 127*q + 993. Determine z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111594638*r*s**3 - 286*r*s**2 + 17*r*s + 18*r - 1 wrt s.\nAnswer: 669567828*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 3 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1655 - 3704. Let b = 2056.128 + j. Let s = 0.128 - b. Which is smaller: s or 2\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26927641313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = -2*c + 62, -4*v = -4*c. Let l(u) = 32*u - 191. Calculate l(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22469509 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1000) + 3*sqrt(1000)))\/((sqrt(392) + sqrt(392)*-4)*-3))**2.\nAnswer: 8000\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 3234 = 18*k. Calculate the remainder when k is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 30 (b) -1\/6 (c) 1 (d) 0.5 (e) -4 (f) -72 (g) 0.076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1662669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65186516 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002288 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 154*t**2 - t**4 - 38*t + t**3 + 38*t to the form d*t**4 + c*t + k*t**2 + x*t**3 + m and give k.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (5 + 1*sqrt(7) - (-4 + sqrt(28)\/sqrt(4)))**2)*-5.\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 9.678.\nAnswer: -19.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1)\/(4\/(-10)). Let v = -8 - -8. Let t = 1 - v. What is the second smallest value in 6\/11, m, t?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = 38*q - 25*q. Let y = q - -31. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1. Let c(z) = z**3 + 2*z**2 + 2*z - 35. Let t(n) = -2*n**3 - 7*n**2 - 7*n + 106. Let f(x) = 7*c(x) + 2*t(x). What is 66*d(y) + 2*f(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36196*z - 14428 + 131813 = -172183 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(0 + 14\/(-21)). Solve -5*u = p, 9*i + u + 13 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 37. Determine w(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**9)\/g)*g**3*g**(1\/2)*g*g**(3\/5))**(1\/92) assuming g is positive.\nAnswer: g**(151\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/73 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -330749*a*o + 4*a - 698751*o with respect to a.\nAnswer: -330749*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*r - 18696 = 0, 18700 = 22*d - 18*d - 3*r. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -778, -3119, -7020, -12481, -19502?\n\"Answer: -780*i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191660 and 17612?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(84\/(-441)*7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/33, 3\/7, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368*-5636.\nAnswer: 2074048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 188 - 4. Calculate the greatest common factor of 230 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(sqrt(847) + 0))**2 + -1*(sqrt(847) + -1)**2.\nAnswer: 22*sqrt(7) + 29639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7474407272 and 6962.\nAnswer: 7474414234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018666 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/60, -0.08, -25, -8\/5, -0.6 in increasing order.\nAnswer: -25, -8\/5, -0.6, -0.08, 1\/60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.86152 - -0.689818. Let n = 90.172 - 90. Let q = o + n. Round q to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3479 and 71099.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59.82 + -61. Let x = -1.1 - v. Which is the third smallest value? (a) -2\/7 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.311 + 1.831. What is the third biggest value in -0.1, t, 5, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -223 + 4?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/((-1)\/(-3)). Let t = 7\/12 + -65\/132. Is o less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -3927?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.65 - 0.89. Let k = 24.24 + t. What is k rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1070+-0.021\nAnswer: 1069.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d - 191. Give s(-24).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80666451, -80666447, -80666443, -80666439?\nAnswer: -80666435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 + 122126*h**3 + h**2 + 105067 wrt h.\nAnswer: 72*h + 732756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 1064*x**4 + 6972*x**3 + 122144*x**2 + 375232*x + 261120 = 0 for x.\nAnswer: -272, -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.5 (b) 4 (c) 0.09 (d) 1 (e) 1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 4*u**2 - 2*u**2 + (17*u - 17*u + 10*u)*(-4 + 4 + 2*u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 786080*t**2. Let x(a) = -2*a. Calculate h(x(l)).\nAnswer: 3144320*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**2 + 2*t + 6. Give w(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -937, -3889, -8803, -15673, -24493, -35257, -47959?\n\"Answer: k**3 - 987*k**2 + 2*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102101221220?\nAnswer: 102101221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3210 (base 4) to base 5\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*g - 5079 = -42*g - 9551 - 8600 for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = 6. Is 9 a factor of ((-24)\/32)\/(t\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-4) - -1)*(-5 + 38). Suppose 93*d = w*d + 24. Let y(o) = o**3 + 5*o**2 + o - 2. Determine y(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) -5 (c) -3 (d) 3\/10 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 4:25 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 14. Let z(j) = -9*j**2 - 77*j - 23. Calculate the smallest common multiple of k(-7) and z(-8).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 5 (c) -7\/6 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10111000011?\nAnswer: 10111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by ((-36)\/20)\/((-6)\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + ((-1)\/4 - 0). Suppose -h + 10 - 5 = d. Suppose s = 4*s - h*o - 20, 3*s + 4*o = 11. What is the lowest common multiple of s and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*f + 12 + 32. Let d(m) = -m**3 - m. Let n(l) = 10*l + 0 + 6*l**3 + 0. Calculate f*n(w) - 8*d(w).\nAnswer: 2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 1.98. Let h = 3 + -2. Let w = -0.58 - -0.08. What is the nearest to h in 0.1, w, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/2)\/((-210 - (-1023500)\/4875)\/((-8)\/6))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*l - 6, 2*f = -3*l - 0 - 1. Let c = 6 - f. Let v(w) = -6*w**c - 1 - 2*w**3 + 3*w**3 + 0*w**2. Determine v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/11)\/f**(-3))\/(f**(3\/2)\/(f\/(f**(2\/7)*f))) assuming f is positive.\nAnswer: f**(229\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17832 - 8?\nAnswer: 17825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 36*f**2 - 160*f - 5. Let o be x(-40). What is the nearest to 0 in o, -4, 2, -49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 777654936.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3956 and 16238.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11821633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422.1572 less than -0.03849?\nAnswer: 3422.11871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3571670 divided by -183\nAnswer: -3571670\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 145*k + 2843. Determine h(162).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 255*k**3 + 800*k**2 - 540*k.\nAnswer: -5*k*(k - 2)*(k - 1)*(k + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*15*(-18)\/(-270)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agjb when four letters picked without replacement from gbtjbgjbabaj.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.4, -0.5, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from eele.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - 1aa?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42643, 85281, 127923, 170569, 213219, 255873, 298531?\nAnswer: 341193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 2*t + t + 3*t - t + 0*t + (1 + 4 - 3)*(t + 3*t - 3*t) - 2 - 2*t + 5*t - 25*t.\nAnswer: -20*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a**2 - a - 718*a**2 + a.\nAnswer: -674*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 10*z + 1. Let k be v(9). Suppose -5*m - 15 = k. Let w = m - -8. What is the third biggest value in -5\/2, -1, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 426*s**2 + 1003616*s - 94240 = 0.\nAnswer: -2356, 20\/213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69657279)\/(-93) + (-2 - (-2 - -3)). What is h rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(0 + 1*sqrt(180)) - ((sqrt(180) + (sqrt(180) - 1*sqrt(180)))*2 - (1 + -1 + sqrt(180) - sqrt(180)))**2*3.\nAnswer: -2160 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - (-5 + 16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 495 and -0.4.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 + 0*c + 1\/60*c**5 - 3*c**2 - 1\/30*c**6 + 1\/6*c**3 + 1\/12*c**4. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6738*y**3*z - 335*y**3 - 13131279*y**2*z wrt y.\nAnswer: 40428*z - 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -3*d**4\/8 + 33*d**3\/2 + 164*d**2. Calculate the least common multiple of u(10) and (6\/4)\/(2\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -43. Let r = g + 20. Put 1, 20, r in descending order.\nAnswer: 20, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 293 + 293 - 2*a**2 + 0*a**3 to the form i + z*a**3 + u*a + f*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7829736.339 rounded to the nearest 1000?\nAnswer: 7830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2588, -5183, -7778?\nAnswer: -10373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-12)\/(-8)*(-24)\/450).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539225 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9400\/79712*40\/125.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*2*2*sqrt(143))\/((sqrt(220)*-1)\/sqrt(5) + (sqrt(528) - -2*sqrt(528))\/sqrt(12)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 682*t - 218329 + 257885 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 205884 - 154428. Let n = x - -22579507\/376. What is the common denominator of n and 111\/20?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*m = -4*a, 5*m + 11 = a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 5, p: 6, n: 1, r: 1}. Give prob of sequence en.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(175)*-2)**2.\nAnswer: -60*sqrt(7) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 239*t + 242*t + 2*t**2 - 2*t**3 as h*t + b*t**3 + o*t**2 + i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/3*(0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 2 + (54 + -19 - 23)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035966727 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -25. What is the highest common factor of b and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(-4 + 3). Suppose 22*v - 25*v + 12 = b. Suppose 4*n + 4*z = 504, -v*z - 255 = -4*n + 233. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1009 not equal to -2646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -586*r**2. Let w(j) = -j**2. Determine w(f(x)).\nAnswer: -343396*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746077.07 rounded to the nearest one thousand?\nAnswer: 2746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4732 and 1533?\nAnswer: 1036308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*i - 0*i + 270003, 2*m = -3*i + 269998. Suppose -147515 - 122485 = -3*o + q, o = -q + i. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2 - (-1 + 15)) - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 789559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/14*(-5)\/((-10)\/4))\/((-7543)\/(-52801)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/10)\/(((-21)\/(-292880))\/(-1)).\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5187*j + 7*j**2 - 5187*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143140, -286254, -429370, -572488, -715608, -858730?\nAnswer: -1001854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*u = -198*u + 35156. Suppose 0 = -b + 17 + 17. Calculate the highest common factor of b and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1783008 divided by -337.\nAnswer: 1783008\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 7*n**2 + 7*n. Let m be 2\/4 + (-10)\/4. Let w(y) be the second derivative of y**5\/20 + y**4\/6 - y**3\/3 + 15*y + 4. Determine m*z(o) - 7*w(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/4*o**2 - 18*o + 3.\nAnswer: -3*(o + 2)*(13*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.016 - 13.016. Let g = -0.1027722 - -13.1030622. Let z = g + t. What is z rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/30*(3 - 11). Factor 125\/2*c**4 - 25\/2*c**3 + 26*c - 45*c**2 - v.\nAnswer: (c + 1)*(5*c - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2658, -6117 in descending order.\nAnswer: -5, -2658, -6117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448890774.\nAnswer: 2, 3, 74815129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*n = 54 - 111 + 673. What is the remainder when 1003 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 + 16*x**3 - 6*x**3 - 11*x**3 - x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451844385 divided by -90368877.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1368447263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**7\/315 + 13*l**6\/720 - l**5\/24 + 7*l**4\/144 - l**3\/36 + 5*l**2. Factor h(w).\nAnswer: -(w - 1)**3*(4*w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -51*z**2. Let u(c) = -10*c. What is q(u(d))?\nAnswer: -5100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/125, 5, -1, 0, -4 in ascending order.\nAnswer: -4, -1, 0, 2\/125, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 1312782*p + 1312779*p - 2625556*p.\nAnswer: 5*p + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 4) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 172500.2 kilograms?\nAnswer: 172500200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1. Suppose 6*r = -7*r + 949. Let v(n) = -7 + 2 + r*n - 68*n - 1. Determine 5*g(y) + v(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17582197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5305 + 1302. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -1\/3, 0.3, 4, 0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 193? (a) -1\/2 (b) 1.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.67 + -0.33. Let q = 0.194 + 12.456. Let k = q + o. What is k rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.85 - 78.45. Which is the closest to 1\/4? (a) 4 (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -910 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -426?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*g + a, -70 = -5*g - 2*a - 3*a. Suppose -24*j + 714 = -g*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2975 = -1695*v + 1694*v. What are the prime factors of v?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1483354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167190 and 27?\nAnswer: 1504710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 - 3*k. Let r = -22 + 28. Suppose -r*s = -5*s + 6. Let l(p) = -p**3 - p. Let f(y) = s*l(y) - n(y). What is the second derivative of f(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 + 2*m - 11. Let z be b(4). Let w(d) = -25*d**2 - 2. Let f(v) = v**2 - 2. Let r(t) = z*w(t) + 3*f(t). Let x(n) = -2*n. Give r(x(y)).\nAnswer: 312*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 33*d + 227. What is t(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 8. Let m = -1.3 - -0.3. What is the closest to -0.1 in 0.3, v, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21519803 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/11? (a) -1\/9 (b) -0.2 (c) 3813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1819*m - 10934. Calculate j(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/76 + 1005\/988. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-16867.\nAnswer: 1686.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.551 + 307.449. Let g = v - 65. Let o = 243.00214 - g. What is o rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6040857688 to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699318138.\nAnswer: 2, 7, 181, 95801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 7, n: 1, i: 1, r: 8}. Give prob of picking 2 r, 1 n, and 1 l.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25793999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 0 + 0)*(-1 + 1 + 1) + 2*g - 2*g - 2*g**2 + (g + 3*g - 3*g)*(-g + 2 - 2) + (4*g - 5*g - 6*g)*(-g - 5*g + 5*g) to p + z*g**2 + q*g and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/5 (b) -2\/3 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 5*t. Let j be l(4). Suppose j*m = 9 + 7. What is the tens digit of (2\/2)\/(m\/596)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 + 51912*n**3 + 622524*n**2 + 2022808*n + 1452192 = 0. Calculate n.\nAnswer: -12966, -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/12 + 25*u**3\/6 + 91*u**2\/2 + 167*u. Is y(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134026850 to the nearest integer?\nAnswer: 11577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -1, 45, 5, -5, -1\/17.\nAnswer: -5, -1.2, -1, -1\/17, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 338. Let t(x) = x**2 + 181. What is h(t(b))?\nAnswer: 2*b**4 + 724*b**2 + 65860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/164 + (-11340)\/(-492)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*r + 584*r - 282*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80930738*l**3*q**4 + l**3 - 177288036*l - 5*q**4 wrt q.\nAnswer: 323722952*l**3*q**3 - 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 3*q - 2*q, -2*q + 20 = y. Calculate the remainder when ((-1)\/1)\/(3\/(-57)) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000233373 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10))**(20\/7)\/(d*d**6*d*d**(-1\/2)\/d) assuming d is positive.\nAnswer: d**(-87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*f**4 + 1652*f**3 - 7380*f**2 - 324*f.\nAnswer: -4*f*(f - 9)**2*(23*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877377, -1754760, -2632147, -3509538?\nAnswer: -4386933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1021.8 + 1022. Let j = -0.46 - 0.04. Which is the nearest to n? (a) 0.5 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69)\/54 + (-12)\/(-27) + (10540\/840 - 6). Factor -2\/7*h**2 + g - 2\/7*h.\nAnswer: -2*(h - 4)*(h + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119*c**4*v - 11*v + 19 wrt c?\nAnswer: -476*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*x - x - x)*(2*x - 3*x + 2*x) - 4*x**2 + 4*x**2 - x**2)*(-2*x + 3*x - 3*x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*3)\/sqrt(7).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -55275*c**2 - c + 28. Let d(h) = -h**2. Determine p(d(a)).\nAnswer: -55275*a**4 + a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1991567 and 82025.\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 19. Let y be 3162\/7 + i\/49. Suppose -2*z = -374 - y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 44. Let l = -123\/4 - f. Which is the third smallest value? (a) 5 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7 - 8. Suppose -m - 25 = -5*m - l*x, m - x = 15. Let g = 9 + -5. What is the smallest common multiple of m and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 2*v**2 - 14*v + 44. Let m be z(4). Suppose 3*a = -2*c + m, 2*a + 75 = 4*a - 5*c. What is the lowest common multiple of a and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*v + 865, v - 466 = -2*x - 31. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16346870.\nAnswer: 2, 5, 1634687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84)*-2 - sqrt(84)) + sqrt(84) - -5*sqrt(84)*2)\/(sqrt(432) + sqrt(3) - (sqrt(3) - sqrt(12)\/sqrt(4))*-6).\nAnswer: 34*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -80391488 smaller than -80391488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -72. Calculate the common denominator of 25\/4 and (1\/1)\/(s\/(-1095)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855147.56 rounded to the nearest 1000?\nAnswer: 3855000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, 12924, -72, 17 in increasing order.\nAnswer: -72, -5, -1, 1, 17, 12924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*l + 345*l - 3*l**3 + 183 - 112*l - 130*l - 183.\nAnswer: -3*l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let c(y) = -7*y**2 - 4*y - 2. Let l(x) = -11*x**2 - 6*x - 3. Let q(n) = -8*c(n) + 5*l(n). Determine q(k) + r(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.317 and 2999.\nAnswer: 2999.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = -2*g. Suppose -g*p = 6 + 9. Calculate the common denominator of p\/((-6)\/(-27) - -1) and 73\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - 42\/(-4). Suppose h = 3*h - u. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 118?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/4 + 5)\/((-1)\/(-20)). Let w be 420\/8*(-11280000)\/s. Round w to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (320*y + 3437 - 3437 + 139*y)*(2*y**2 + 0*y**2 + y**2) to j*y**3 + q*y**2 + m + h*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*i**3 - 171*i**2 + 15*i + 207 = 0. Calculate i.\nAnswer: -3, -23\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 1, h: 1}. What is prob of sequence eh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 + 14*p - 2. Let x(t) = -t**3 + t**2. Let k(v) = -i(v) + x(v). Is 13 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/3037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-2)\/(1*3\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741*z + 8265 = 2614*z - 5450*z for z.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 0.4, -0.4, -0.2, -58 in descending order.\nAnswer: 0.4, 0.1, -0.2, -0.4, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:27 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 - 1 = -i, d - 2*i + 4 = 0. Let a be -2 - (-2 - 6\/10). Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2)*1)**2 + -3.\nAnswer: 8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)*c**(-1)\/c*c*c**(-3\/7)*(c\/(c\/(c*c**(-2\/5))))\/c assuming c is positive.\nAnswer: c**(-134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 7832 - 8112 = 0. Solve w = -48*y + 56*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -435, 165, -806 in decreasing order.\nAnswer: 165, -435, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.68 and 9.\nAnswer: 69.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59 + -52 + 1*5559307*-1. Round u to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k + 0 - 2*k**2 - 1\/30*k**5 + 1\/2*k**3 - 1\/120*k**6 + 5\/24*k**4. Calculate x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40.39*651.\nAnswer: -26293.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1750\/(-140))\/((-10)\/(-8)). Which is bigger: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 21*z - 21. Let d(s) = -s**2 + 8*s - 3. Let k be d(9). List the prime factors of b(k).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 151?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1.9\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 108 - 9*n + 93 - 200. Let j(w) = w. Let i(u) = 6*u + 7. Let v be i(-1). Calculate v*g(o) + 5*j(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 1643.\nAnswer: 13144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + (-2*sqrt(1944) - sqrt(1944)) + sqrt(1944) + sqrt(1944))*-4*5)\/(-2*sqrt(1452)*-5*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/(32\/288)*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 322 = -0*j + 2*j, 0 = -u + j - 85. Let m = u - -79. Let x be (-3)\/(-4 - -7)*(0 + m). Is 8 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - d = -15, 5*z + 3*d + d - 30 = 0. Suppose -z*a + 72 = -6*a. Let t = 33 + a. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u + 22. Give l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3955\/47 smaller than -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9720, -9768, -9806, -9828, -9828, -9800?\n\"Answer: v**3 - v**2 - 52*v - 9668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 39, 76, 127, 192?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18)*1*(-103 - -101)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -190*o + 82. Is 12 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 - -10?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {e: 6, l: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8651 is divided by 184.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(204) + (sqrt(204) - 3*sqrt(204)))*2)\/(((sqrt(72) + -2*sqrt(72) - sqrt(72))*1 - sqrt(72))\/sqrt(6)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -2*h**2 + 4*h - 3. Let l be u(-2). Solve 4 - l = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {n: 1, a: 1, u: 1, l: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + 2\/1 + 1. Calculate the greatest common divisor of n and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.431 - -2.569. Are -0.2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - -0.17. Which is the nearest to u? (a) 0.1 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (3*(sqrt(1216) + -3*sqrt(1216)) - (0 + sqrt(1216) - sqrt(1216))*4) + -3*(sqrt(1216) + -4)*-1))**2.\nAnswer: 13824*sqrt(19) + 396288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -32335053?\nAnswer: -32335050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17530 and 1600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 9*w**4 + 15*w**4 - 8*w**4 + 7*w**4 - w**4 - 3*w**4 + (3*w**4 - w**4 + 0*w**4)*(-1 + 2 - 2).\nAnswer: -w**4 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(130)*-6 - sqrt(130))*5)\/(sqrt(20)\/sqrt(2)*6 - 6*sqrt(90)))**2.\nAnswer: 39325\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:26 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and -1178081.\nAnswer: 3534.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.2892 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -27, -38, -49, -60?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(-3042)\/(-24). Let v = w - 86. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let r be (-28)\/(-5)*(-5)\/t. Let y = 9 + r. Is -1\/4 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/22)\/(468\/(-12870)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 1414894.\nAnswer: 1414894.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1734*u. Let i(g) = 2*g**2. Give b(i(d)).\nAnswer: -3468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58792 * 54\nAnswer: 3174768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/7 + 129*p**4\/7 - 5567*p**3\/7 + 103695*p**2\/7 - 831888*p\/7 + 336960 = 0?\nAnswer: 7, 9, 24, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 391030201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/3, 1\/3, 57, -111\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27*v**3 + 2*v**2 - 3*v + 2. Let d be m(1). Is d\/(-2)*7\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*m + 72 = 597*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11325*u - 454535 + 227262 - 6020*u + 227273 in the form s*u + c and give s.\nAnswer: -17345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 (base 12) in base 10?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-30)*14\/(-280)*(-75)\/(-6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + -4 + -6 - (-21 - (-23 - 3) - -6)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 15*d**2 + 23*d + 39. Let x be o(13). Suppose -16*y - 7*y = x. Solve -2 = c - y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32928751 to the nearest integer?\nAnswer: 5738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.33179 rounded to one decimal place?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143837457 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: Rearrange 6*n - 2*n - 4*n + 5*n to f*n + a and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -6*n. Let h(p) be the first derivative of -p**4\/4 - 5*p**3\/3 + p**2\/2 + p - 13. Calculate h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -3121141?\nAnswer: -3121142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 643, 1444, 2565, 4006, 5767?\nAnswer: 7848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(88)*1*4 - sqrt(88)) + sqrt(88)))\/(6*(sqrt(162) + 2*sqrt(162)*2)).\nAnswer: 8*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.62 + 2.62. Is 1\/5 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-5 + 7)) + 2 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287765 (base 9) to base 11.\nAnswer: -110517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4\/25))\/p)\/((p*p**9)\/p)*p\/(p*p**(-6\/17))*p*p**(2\/3)\/p assuming p is positive.\nAnswer: p**(-10379\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -622176 by -38886.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -1419, 2 in decreasing order.\nAnswer: 2, -1, -2, -1419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b67 + 2?\nAnswer: b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2, -3*q + 2*r + 48 = 14. Does 17 divide 2\/q - 393\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:00 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.9 + -2.1. Let f = -19.16 - -19.06. Let u be 1 + (0 - 4\/5). Sort u, f, o in ascending order.\nAnswer: o, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 + 0 + (-38)\/(-70). What is the nearest to 8 in u, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2\/17, -4, 0.9, 4, -1\/3 in descending order.\nAnswer: 34, 4, 0.9, -2\/17, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + s - 5 = 0, -198*q - 19 = -201*q - 5*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Suppose 0*p + n*p = b - 72, 5*b + 3*p = 414. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 26. Let o be (8\/6)\/((-231)\/z + -5). Sort 5, -2, o.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30\/13 + -99\/26. Let x = 1001 + -1005.43. Let u = -0.57 + x. Which is the second biggest value? (a) u (b) p (c) 0.2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 1. Let b(o) = -4*o**2 + 3*o - 3. Calculate b(a) - 2*f(a).\nAnswer: -2*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1814, 3502, 5194, 6890?\n\"Answer: 2*k**2 + 1682*k + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -3.1. Sort o, -3, 5.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4055 and 37\/112685.\nAnswer: 91387535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 8 = -90. Let i be 12\/20 + j\/(-10). Differentiate -1371*w**2 + 32 + 1371*w**i - 35*w**3 with respect to w.\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**3 + 0*r**3)*(-10*r**2 + 105*r**2 - 23*r**2 + 41*r**2) + (-34*r + 21*r - 27*r)*(-2*r**4 + 0*r**4 + 0*r**4).\nAnswer: 193*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -306, -579, -804, -957, -1014?\n\"Answer: 4*y**3 - 301*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55553701 and -1?\nAnswer: 55553701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccchhhch. Give prob of picking 4 c.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 20*c + 6. Let u(t) be the first derivative of -2*t**3\/3 + 7*t**2\/2 - 2*t - 298. Calculate -6*r(w) - 17*u(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67866 and 68273196?\nAnswer: 68273196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 4*c - 9*c)*(0 + 1 + 70) as z + o*c and give o.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 10*x - 8. Let u be l(-8). Suppose -u = 2*j - 6*j. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + 2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 2 - 3922*x**2 + 2*x + 5532*x**2 - 2 to p*x**2 + i + z*x and give p.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let d be 0 + (-2 + 2 - 0). Let j(c) = -c + c + d*c - c**2. Calculate j(h(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 2:20 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177170 and 17717?\nAnswer: 177170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -65*j**2 - 166*j + 82. Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254965915 is divided by 3409.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 11*q + 11. Let f be z(12). Let p(k) = -k + 12. Let a be p(0). Let w be (1\/(-3))\/(f\/a). Solve 0 = w*h + 3*i + 2, 2*i = 5*h - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3952168 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.8 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/19)*w)\/(w*(w\/w**(3\/2))\/w))**(-44) assuming w is positive.\nAnswer: w**(-1122\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4649277, 9298552, 13947827, 18597102, 23246377?\n\"Answer: 4649275*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 95?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2841)\/81 + (-53)\/(-38637)*54?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 45 = 135 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/123415 in 2\/3, 0.5, -3, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 1426169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1. Let p(l) = -5*l - 10. Let y(u) = -6*n(u) - p(u). What is the remainder when y(7) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18451673902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650685445?\nAnswer: 5, 330137089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14.997. Round q to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469735 and 6265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3. Suppose -r = b*r + 4*l - 3449, 0 = 3*r + 5*l - 3448. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/(-220))\/(3\/(-33)). Let -i**2 - 1\/5*i**4 - 4\/5*i**n + 0 - 2\/5*i = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 3*w - 4. Let p = 13 + -10. Give q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 29*l + 40. Let r(w) = 21*w - 417. Let b be r(l). Solve 0 = b*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 - -381. Let p be 18\/(-21) - 1\/7. Sort b, 1, p.\nAnswer: p, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.702176g to tonnes.\nAnswer: 0.000003702176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 + 8*v**3\/3 - v**2. Let f(m) = m**2 - 16*m + 26. Calculate the lowest common multiple of f(15) and s(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145147.2785 to the nearest 100.\nAnswer: -145100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.65 + -11.75. What is the nearest to -1\/4 in -3, k, 2\/15, -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 0)*(4*q + 26 - 4*q + q) to u + i*q and give u.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 24*j**2 + 28*j - 1. Let r(h) = -h**3 - 7*h**2 + 20*h + 31. Let k be r(-9). Let b be p(k). Solve 5*s - s = 5*l - 21, -b = -5*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 + -33 - -13) + -40.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-9))\/((-4)\/6). Let d be 24\/16 + (-7)\/(-2). Let f = 4 - d. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*z - 40*z - 19*z)*(-2 - 3 + 4)*(1 + 1 - 3)*(60 - 41 - 53).\nAnswer: 476*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24206 and 658.\nAnswer: 1137682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, r: 1, n: 2, c: 2}. What is prob of sequence unc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 43)*(-85)\/(-102).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 9*b**2 - 441528474*b + 147176157 = 0?\nAnswer: 1\/3, 49058719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 426640139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354232370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18053, 72294, 162701, 289274, 452013?\n\"Answer: 18083*n**2 - 8*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Let q = -4941 + 108657\/22. What is the common denominator of q and 34\/(-12) + h\/20?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168071363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - 2 - -1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 - 5.3. Let o be ((-4)\/(-3))\/((-2750)\/825). Which is the biggest value? (a) -6\/7 (b) o (c) v (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1048*v + 1044*v - 5*f - 12, 3*v = f - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094547913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -691.1 - -690.8. Which is the closest to -1? (a) -4\/23 (b) q (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6714 - 6714 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 3. Let s(b) = 754 + 737 - 1505 + 21*b. Give -14*g(c) + 3*s(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, -68, -443, -908, -1463, -2108?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 11 = -4*n. Let u = 33 + 22. Let l = u - n. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133175 - -437213521\/3283. Is 0 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 54 = -4*g, z = 4*g + 8 + 29. What is the remainder when 117 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11))**(-2\/65) assuming k is positive.\nAnswer: k**(22\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100000 (base 2) in base 12?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377.8 - 378. Which is the fourth smallest value? (a) -1 (b) q (c) 1\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 9*l**2 - 6*l - 10. Suppose 73 = 2*k + n - 44, 0 = 4*k - 3*n - 229. Calculate the remainder when k is divided by f(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 0*t - 2*t + 0*t - 105 + 3*t.\nAnswer: t - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5*x + 10 = -5*m, -20 = -5*m + 4*x. Solve 36*y - 5*v = 41*y, m = 4*y - v - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a - 121*a + 32 = -243*a + 2*p, -5*p + 140 = -10*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 2. Let l = -21 + 24. Let f(i) = -7*i + 3. Let o(q) = l*f(q) - 5*a(q). What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -340977, -1363938, -3068873, -5455782?\n\"Answer: -340987*m**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1313644478*q + 1256981800 with respect to q.\nAnswer: 1313644478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6277*j + 4732 wrt j?\nAnswer: -6277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/20 + h**4 - 2*h**3\/3 + 16*h**2 - 8*h - 49. Determine b(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6) - (-140)\/(-24). Let n(a) = -107*a + 30. List the prime factors of n(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9*6)\/2. Let r be 1\/(-3) + a\/12. What is the third biggest value in r, 0.3, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11228587 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42118 is divided by 8405?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -29) + -8 + 8. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20727, -36462, -52195, -67926, -83655?\n\"Answer: o**2 - 15738*o - 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.4 + -31.97. Let k = 414.361 - 413. Let w = k - h. What is w rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5. Suppose -3*z + 12 = 141. Let l = -40 - z. Is l greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9301\/3612 - -5\/602. What is the common denominator of (418\/220)\/((-12)\/18*-3) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 150762.\nAnswer: 603048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 16*q**3 + 13*q**3 + 0 + 17*q - 17*q + 149*q**2 in the form c*q + a*q**2 + l + y*q**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6253*x + 6255*x - 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 171*j - 1100*j + 182*j - 18675 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73364053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 47. Suppose 3*j - 5*q - m - 8 = 0, -6 = -2*j + 4*q. Suppose 2*v - 4*h + 5 = 5*v, -5*v = -5*h + 50. Sort j, 28, -2, v.\nAnswer: v, -2, j, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 - 256*d + 759 = 0?\nAnswer: 3, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3029.035? (a) -1\/2 (b) 1.1 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 160.08. Let a = g + 0.08. Let z = -12 - -17. What is the second smallest value in a, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, w: 5, l: 5, t: 1}. Give prob of sequence ltj.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398077.9 nanometers to meters.\nAnswer: 0.0003980779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2460 and 67\/2870?\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12653 = 5*h - 812, -15 = 5*h. Suppose a = -3*c + 13*c. Let k = c + 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30856 divided by -1.\nAnswer: -30856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:12 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 672 - 624. Suppose m*n - 9*n = 39. Which is the nearest to n? (a) -2 (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2*a + 13. Let m be t(0). Suppose -4*f + 2*k - 1 = -m, -2 = f - 3*k. Sort 3, f, -2.\nAnswer: -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 243 + 149 = 0. Suppose -3*d = 5*y + 309, -133 + 510 = -4*d + 5*y. Let o = d - r. Let l(h) = h + 2. Determine l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*a + 137 = 0, 0*a + a = 3*v - 83. Suppose -53 - 73 = -3*y. Calculate the common denominator of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*(2 - 2). Suppose 2*u - 12 = -2*u. Put -4, u, g in decreasing order.\nAnswer: u, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 11, -16, -6 in increasing order.\nAnswer: -16, -6, -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 2*d**2 - 1\/12*d**4 + 0*d**3 + 0 + 0*d. Let b(v) = 6*v**2. What is j(b(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:43 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1843607721 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 8*j + 5. Let x be g(3). Solve 9*c = 55 + x for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 349*z**2 - 79*z + 6. Does 30 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*v - 1055*v + 537*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2597, -5195, -7793, -10391, -12989?\n\"Answer: -2598*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29)\/(-116))\/(3\/24))\/(2*-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -456835817?\nAnswer: -456835820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -0.0131558?\nAnswer: -0.0131558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 339*y - 801*y - 935*y - 349*y in the form b*y + k and give b.\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + d + 4*d = 22, 0 = -5*l + d + 18. Suppose -l*g = m - 2 - 12, -m + 17 = 5*g. Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115289, -116080, -116871, -117662, -118453, -119244?\n\"Answer: -791*u - 114498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*t + 8 = 0, 2*z + 2*t - 10 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in minutes?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**5 + 6662419*o**4 + 26*o**2 - 361921?\nAnswer: -360*o**2 + 159898056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 2*n**2 + 2. Let c be b(-2). Suppose d + 3*i + 4 = 0, 0 = -c*d + 3*i - 0 + 28. Suppose 2*f = -d*f + 40. Solve -14 = -5*s - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176172532969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -8. Does 2 divide w\/10 + (-51)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8.3. Let z = y - 0. Which is the smallest value? (a) 0.1 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - 4 - (-1 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eki when three letters picked without replacement from rukersuieiueekuree.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 3}. Give prob of picking 3 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 8 + 0 + 0 - -42. Let f be j\/12 - (-2)\/4. Let u(b) = -2*b**2 - 2*b - 3. Let i(d) = 2*d**2 + 3*d + 4. Determine f*i(m) + 5*u(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let y(o) = o - 6*o + 59 - 31 - 25. What is z(y(f))?\nAnswer: -5*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, q: 2}. What is prob of sequence mm?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 at least -263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -368 - -373.75. Let w = y + -6.25. Let j = -4 + 4. What is the closest to 3 in -1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3607543.\nAnswer: 3607543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/42)\/(29\/((-2436)\/16)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -b1?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -33*q - 1914. Let k be a(-58). Is -2\/219 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 - 76882639*r**3 + 76882638*r**3 + 7.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-18)\/s*s**(1\/19)*s**2\/s**(-1\/5) assuming s is positive.\nAnswer: s**(-1591\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*v + 3 = 4*k - 321*v, v - 3 = -k. Let h(q) be the third derivative of 1\/10*q**5 - 10*q**2 + 0*q + 0 + k*q**4 - 1\/6*q**3. Determine h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -76, 14154*l - a - 9 = 14159*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(429\/(-538194)) + 30\/195 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.76647 - 1.76571393. What is j rounded to 5 decimal places?\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*x + 141*x = 100312. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z + 1. Let h(n) = 28*n**2 + 248*n + 4648. Let b(y) = h(y) - 24*r(y). Let b(i) = 0. What is i?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1)\/((sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12))\/sqrt(6)))**2 + 0 + (sqrt(1100) - ((2 + sqrt(1100))*-1 + sqrt(1100)) - sqrt(1100))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -6 + 2\/3*s**3 - 1\/2*s**2 + 0*s. What is q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*i**3*q + 2*c**2*i**2*q**2 + 2*c**2*i**2*q + c**2 + 10*c*i**2*q**2 + 4*i**4*q**2 - 2*i**4 wrt i.\nAnswer: -12*c**2*q + 96*i*q**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmjuoma. What is prob of sequence omj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1209)\/(-65) + -7 + -12. Sort 7, 0.1, -4, q, 0.5 in decreasing order.\nAnswer: 7, 0.5, 0.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22714.\nAnswer: 2, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1))\/(p*p\/(p*(p\/p**(-1\/2))\/p)))\/(p**0\/p**(-4)))\/((p*p*p\/((p*p**1)\/p)*p)\/p*p\/p**(-4\/9))**(25\/3) assuming p is positive.\nAnswer: p**(-1685\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + f - f)*(2 + 1 - 2) - 5*f**2 + 3*f**2 + 0*f**2 + (3 - 1 + 0)*(-20*f**2 - 26*f + 26*f) + 0*f**2 - f**2 + 0*f**2.\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3202*y + 5890*y - 6*y**2 + 5*y**2)*(-3 + 3 - 1)*(43 - 43 + 8*y) as q*y + k*y**3 + h*y**2 + g and give h.\nAnswer: -21504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -196*u**3 - 3*u**2 - 17*u + 3. Let j(d) = 792*d**3 + 11*d**2 + 70*d - 11. Determine -3*j(b) - 11*s(b).\nAnswer: -220*b**3 - 23*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1) + 3 - 2. Let h(p) = -3 + 13 - 2*p**3 + m*p**3 + p. What is the units digit of h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.873 + -0.127. Let b = 28 + d. Sort b, 0.13, -2\/9 in ascending order.\nAnswer: -2\/9, b, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 5280?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1978 and -1976 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112 and 894564.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.11. Let s = z + -0.05. Let m = s + -0.06000019. What is m rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))**(-1\/13) assuming m is positive.\nAnswer: m**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnnrqqrnnnnnnngqq. What is prob of sequence qq?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-2)*2976\/(-80)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kru when three letters picked without replacement from rkrurkrrrru.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:15 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 593898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(208) - sqrt(208) - sqrt(208)) + sqrt(208))\/sqrt(4))\/(-5*sqrt(36)).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 35 + 76 - 38. Let c(v) = -34*v**2 - 17 + 17 + 36*v**2. Determine h(c(w)).\nAnswer: -2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -0.3. Let d = -22 - -15.9. Let h = d - -6. Do q and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (270467\/3377)\/(2\/44) is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 21. Solve 3*x = x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 11*w**2 + 0 + 0*w + 0*w**3 + 1\/8*w**4. Let p(j) = 2*j. What is u(p(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 14. What is the remainder when 126 is divided by g(18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b + 24. Let g be k(2). Let u = 315 - g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1899162280.5\nAnswer: -1899162282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*y - 5, -4*y + 2*y - 8 = 2*r. Differentiate r + u - u - 17 + 3*u**2 with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 64 = -4*a, a - 5*i - 3 + 9 = 0. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30592*u - 30583*u - 30609*u + 0*u**3 + 91811*u + u**3 - 3*u**3.\nAnswer: -2*u**3 + 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 185553?\nAnswer: 1298871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482043308.\nAnswer: 2, 120510827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171066126 and 3311?\nAnswer: 171066126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/824641?\nAnswer: 1\/824641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:27 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**3 - 11056*h**2 - 3*h + 2897539 wrt h?\nAnswer: 9*h**2 - 22112*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*j + 2*x, 2*x - 33 - 12 = -j. Let z = j - 24. Calculate the remainder when z is divided by ((-11)\/(-2))\/(1\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 12. Let q be g(6). Let x be -6*(-2)\/8 - -1*9. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 34*v. Let s(q) = -q**2. Determine s(n(o)).\nAnswer: -1156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101441 + -14004?\nAnswer: 43433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -v + 6, -v - 2*a = -0*a - 9. Let g be (-91)\/77 + 2\/v. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2733 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 2*s**2 - 3*s + 1. Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/285 - (-32)\/304.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/384 and 23\/7.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/370 and -161\/90.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 29. Let r(x) be the third derivative of -x**5\/30 - 636*x**2. What is r(z(n))?\nAnswer: -32*n**2 + 464*n - 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/5040 - 13*x**6\/720 - 11*x**5\/60 + 5*x**2. Let d(q) be the third derivative of a(q). Is d(17) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9939086041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.00000118 - -41. Round m to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:29 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 203, 519, 975, 1577, 2331, 3243, 4319?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -16. Let b = 59 - 56. Suppose -o = b*o - 5*c - 20, -4*o + 20 = -2*c. Calculate the remainder when o is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - -107 - 147) + (2 - 0 - 16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 3*u. What are the prime factors of (-6 + u)\/((-3)\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-90)*12 + 46\/(-30). Which is the biggest value? (a) q (b) 3\/2 (c) 1 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let c(y) = y - 67. What is c(a(f))?\nAnswer: -2*f - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3124*f**2 + 9*f + 8. Let q be z(-8). Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*r - 37, r - l = -0*r + 4. Suppose -2 - 13 = 5*x - 5*j, 2*j - r = x. Let p = 0.8 + -0.3. What is the smallest value in -0.2, p, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((-29 - -5) + -10) - 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0255 - 0.1745. Let v = -10 - -10.3. What is the closest to w in v, -5, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -39. Let h = -39 + q. Solve -2*m = -5*d - 12, -m + h*m = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.2, 1\/20, 0?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2\/(-91))\/(39*(-110)\/(-45045)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*k - 2 = 0, 5*k = -58 + 73 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + -0.1. Let y = 0.02 + k. Put -0.3, y, 4 in decreasing order.\nAnswer: 4, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*g - 3*g. Is (28\/(-35))\/(g\/85) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((10\/5)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02765 - 0.12765. Put 4, q, -16 in ascending order.\nAnswer: -16, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-15 - -9) + 5 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280918926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 418\nAnswer: 29.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (7 - 7)) + 9. Suppose 4*s + 3*m - 32 = 0, -m = s + 8 - h. Solve s*d - r + 30 = 3*r, -4*d - 2*r = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/22 - (-4)\/22. Suppose -3*i = 4*o + 10, -r*o + 8 = -0*o. Let a = i + 17. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060501*v**2 - 17453*v**2 - 298118*v**2 - 322623*v**2.\nAnswer: -1698695*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((5 - 1) + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {v: 3, z: 1, t: 2, d: 5, n: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(60) - (1*sqrt(720) + sqrt(720))\/sqrt(12))\/(sqrt(48)\/(-2*sqrt(4)))*6 + ((sqrt(105)*-2)\/sqrt(3))\/(sqrt(7) - 3*sqrt(7)*-2))**2.\nAnswer: 33571\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5063 is divided by 3935?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 1105*s**4\/12 - 133*s**3\/6 - s**2\/2 + s - 602. What is the second derivative of j(y) wrt y?\nAnswer: 2210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 768 - 771. What is the closest to h in 1\/6, -0.3, 1\/28, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -8\/79 (c) -291\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 + 0.36. Let o = b + 0.032. Round o to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3233399*u - 1170825 wrt u.\nAnswer: -3233399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16*o**3 - 2*o**2 + o + 2. Let k be b(-2). Suppose -5*d - k = -4*m, -2*m + 3*d + 90 = m. Solve -5*j - m = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 474 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1. Let j = 3 + -2. Let a = j - z. Sort -4, -1\/4, a in ascending order.\nAnswer: -4, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.12665 + -0.12665. Sort 0.06, -0.2, p, 1.3 in descending order.\nAnswer: p, 1.3, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.957 times 0.4?\nAnswer: 7.5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -416*c*n**3 - 2*n**3 - 251*n**2 with respect to c.\nAnswer: -416*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*z + 30 = 0, 5*h = -z - 0*z - 30. Which is the nearest to -1? (a) -130 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14008139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 9:07 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - -0.12. Let w = z - 0.310497. Round w to five dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/24))**(-3\/2)\/((s\/s**12)\/s*s**(-13)) assuming s is positive.\nAnswer: s**(399\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9390979349622 and 9?\nAnswer: 9390979349613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 105*o + 3772. Calculate h(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 44 - 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 17 = 3*p + 40*x, 0 = p - 4*x - 22. Which is the third smallest value? (a) 5 (b) -454 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 14 - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 951.421um?\nAnswer: 0.951421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30515 + -2?\nAnswer: -30520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 5, -2\/125, 6\/7?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from tkfn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s - 165. Let r = 33 - s. Let q = -7.9524 + -0.0476. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6280 + 6273 + (2 - -2 - 0 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92361789 is divided by 643?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*q = -11, -56*w + 5*q + 38 + 39 = 57*w - 106*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 9472 = 2776. Suppose z = -9*m + 2964. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 5 + 0 + 7. Let t be z(11). What is the units digit of t\/(-2) - (1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131158932 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -399?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*l - 128*l - 132*l + 3*l**2 - l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 731\/(-258) + 1\/(-6). Sort -0.13, d, -14 in ascending order.\nAnswer: -14, d, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 0, -50, 1\/4.\nAnswer: -139, -50, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = -32. Let o be 3\/((-12)\/(-15) - 1). Let t = n - o. Solve -4*y = 4*b + 12, 3*y - t*b + 4*b - 21 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-1*-4)\/(sqrt(64)\/sqrt(2) + sqrt(8)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 12*l**2 - 21*l + 51. Let h be z(7). Factor -10\/7 + 8\/7*v + 2\/7*v**h.\nAnswer: 2*(v - 1)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a2c (base 16) in base 8?\nAnswer: 1315054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0 - r - r - 3. Let l(w) = -w - 1. Let c be l(3). Calculate the remainder when 9 is divided by x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d - 25. Suppose -4*n = 14 + 6. Let m be r(n). Solve 0 = q + 3*x - 8, m + 1 = 4*q + x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 267, 2728, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*n**4 - d*n**3 + d*n**2 - 2*d + 9473*n**4 + n + 6942 wrt n.\nAnswer: -72*d*n - 6*d + 227352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476 by 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 5*l - 4, -5*d + 14 = -0*d - l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2560 and 47\/40?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 130 - 38. Suppose x*b = -9*b + 60. What is the remainder when 6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*p = -79*p - 7682 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p - 8 = -66*p. Calculate the highest common divisor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q + 8. Let v be b(-6). Let i = -6 - -6. Sort 5, i, v.\nAnswer: i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45266010277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 - 27070*b + 13519*b + 13511*b to the form a + v*b**2 + d*b and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.068*-0.1.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 4845.\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.108 - -0.092. Which is the nearest to z? (a) -3 (b) 2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 + -326. Let y be (-21)\/i - 64\/320. Solve -y*b + 2*d + 18 = 0, -3*b - 14 = d + 3*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2196945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22433 + 192*o - 22433 + (-3 - 1 + 2)*(-4*o + 3*o + 3*o) + 0*o + o + o + 3*o + 0*o - 4*o.\nAnswer: 189*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -37. Let b(f) = 92*f + 16 - 93*f + c. Let x be b(14). Solve 3*w + 3 = -3*g, 0 = 3*g - 3*w - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 135?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 6*b - 7. Let t = -49 - -52. Let x(v) = 15 + 7*v - 4*v + 10*v + 4*v**2 - 17*v**2 - 2*v**t. What is 13*w(c) + 6*x(c)?\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - 3.6. Let f = i + 14.1. Let w = 9 - 7. What is the nearest to 2\/5 in w, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161782 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 + 28*c + 91. Let l be z(8). Let r be -14 + 17 + (0 - 0). Let n(h) = h**r + 9*h + 3*h**2 + 2 - 2*h + 4*h**2 + 5. Determine n(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 19 = 126. Let j = m + 150. Is 4 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748307 is divided by 129?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7)*q)\/q)**(-35) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152f (base 16) to base 15.\nAnswer: -1918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -26 + 5. Let i be 10 + p + 3 + (-5 - -2). Let k = -65 - -121. Calculate the highest common divisor of k and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**2 - 11*s**2 - 16*s**2 + (-46 + 43 - 18)*(-2*s + 2*s**2 + 2*s) to b + n*s + o*s**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*n - 69 - 28 = 0, o + 37 = 5*n. Let y = o - -25. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1)\/((-2)\/(-2)). Suppose 14*z - 31*z = -17646. What is the tens digit of (z\/(-6))\/(0 + w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 544*s**3 + 11390*s**2 + 13*s - 256207434?\nAnswer: 1632*s**2 + 22780*s + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-8))\/((-19)\/114).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14095 * -419.\nAnswer: 5905805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5601051 and 957309.\nAnswer: 5289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-28\/3))**(2\/35) assuming u is positive.\nAnswer: u**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.061417074.\nAnswer: -3.938582926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15758*n**3*s - 2*n**2 + 2*n - 274*s wrt n.\nAnswer: -94548*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -123052?\nAnswer: -123054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*b + 19 - 3 - 73, 0 = o + b + 87 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1227\/895?\nAnswer: -1227\/895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18217*r + 54668. What is h(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 90406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 5*m = -420. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*w - 21 = 123, -4*b = -w - 204. Suppose -4*z + 120 = b. What is the remainder when z is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(350)*1 - sqrt(350))\/sqrt(10))\/(sqrt(35)\/sqrt(112)) + -4 + -1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/16853544 and -35\/195558.\nAnswer: 185388984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 - 16*d**2 - 23*d - 46. Let o(n) = -n**3 + n + 1. Let j(c) = -l(c) - 6*o(c). Calculate the least common multiple of j(-15) and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/20597826 and 74\/255.\nAnswer: 1750815210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -4. Let r(n) = -n**2 - 7*n + 3. Let u be r(-7). Sort u, w, 2 in descending order.\nAnswer: u, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(-n - 3*n + 5*n) - 40*n + 17*n + 11*n + 3*n - 2*n + n to p + s*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/592116 and -115\/1176.\nAnswer: 1184232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 154 - 17 + 84 + 31*i.\nAnswer: 31*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - (-14 + 17)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 40315\nAnswer: -4\/40315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.6 from -0.01011371844.\nAnswer: -2.61011371844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 57. Let d = -104 + 53. Let c = 53 + d. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2847 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1910 and 53\/158556.\nAnswer: 151420980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 63. Solve 5 - s = -2*j - 3*t, 0 = 4*t + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33775.83m to nanometers.\nAnswer: 33775830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 + 158*k - 536. What is i(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 56*x - 327. Let r be t(10). What is the closest to 22 in 3\/5, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 12 - 8. What is the remainder when 17 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/60 - 5*r**4\/24 + r**3\/2 + r. Let w(f) be the second derivative of s(f). Let o be w(-4). Solve -o*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.29. Let n = 0.09 - i. Let j = n + -2.08. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -23. Which is the second smallest value? (a) 3 (b) j (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160990240.\nAnswer: 2, 5, 1006189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 325\/17 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*z - 4*u = 288, -4*z - 291 = 3*u. Let l be ((-10)\/z)\/(1\/3)*5. Solve l*g + 2*a + 3*a - 33 = 0, -3*g = 5*a - 37 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*k - 24, 5*i - 47 = 5*k - 6*k. Suppose 4*x - 5*p - 21 = 0, 2*x - 19 + i = 2*p. Let g = -5 - -2. Sort g, x, 2 in decreasing order.\nAnswer: x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let n(p) = 4*p. Let l(u) = u**3 - 22*u**2 + 37*u + 57. Let a be l(20). Let c(b) = a*j(b) - n(b). Let o(r) = 39*r + 1. Determine c(o(w)).\nAnswer: -39*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/66 - 1)*(13 + (-5863)\/(-65)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 l when four letters picked without replacement from {l: 2, y: 1, t: 4, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f**3 + 963*f**2 - 219*f + 3. Let m(a) = 44*a**3 + 1927*a**2 - 437*a + 5. Let x(p) = -5*l(p) + 3*m(p). Factor x(o).\nAnswer: 3*o*(o + 36)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1134*i + 1228*i + 2378*i - 882*i + 3)*(-i**2 - 3 + 3).\nAnswer: -3858*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28397 * 61.\nAnswer: -1732217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8334.4 to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j**2 + 2*j - 1. Suppose 41*a - 1283 = 562. What is the remainder when a is divided by y(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -310991*d**2 + 2456*d. Let h(o) = -2785*o**2 + 22*o. Give 1228*h(r) - 11*l(r).\nAnswer: 921*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f + f + (0*f - 2*f + 0*f)*(1 - 1 - f) + 2*f**2 + 0*f**2 + 0*f**2 + 2*f - 2*f**2 - 2*f - 35*f**2 - 78*f**2 + 54*f**2.\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**6 + 57*l**3 - 1845*l**2 + 1 wrt l.\nAnswer: -1200*l**3 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32955 and 3.6.\nAnswer: 32958.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - 1)*1 - -2. Let f = j - -40. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13 = 5*t - 9*t, 3*t - 4*s = -9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25796*h - 154199. Calculate a(6).\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31065, -31129, -31189, -31245, -31297, -31345, -31389?\n\"Answer: 2*k**2 - 70*k - 30997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -491, -1148, -1805, -2462?\n\"Answer: -657*m + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4 (b) 2\/791 (c) 5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22029 divided by -3.\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -281\/38, -2870?\nAnswer: -2870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, o: 1, m: 7, h: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935925 is divided by 619.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 3, j: 6, n: 4, s: 2}. Give prob of picking 1 n, 1 s, and 1 o.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nss when three letters picked without replacement from nonnsnnssynssn?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -139899, -279793, -419685, -559575, -699463, -839349?\n\"Answer: q**2 - 139897*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-7)*8\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, k: 4, v: 1}. Give prob of sequence ttvk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/9, 13, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, q: 7, t: 2}. Give prob of picking 2 t and 2 c.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**3 + 2080*u**2 - 6159*u - 2305. Calculate y(257).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710253 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a factor of 14177022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329876825\/51552 + -145\/5728. Let a = 6407 - o. What is the common denominator of a and 262\/14 + 4\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.426, -28.14, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -3 + sqrt(1377)*-3)**2 - (3*sqrt(1377) + sqrt(1377))*-3.\nAnswer: 216*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, b: 3, f: 2, m: 3, q: 3}. What is prob of picking 2 b and 1 m?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*g**2 + 230*g**3 - 122*g**2 - 219*g**3.\nAnswer: 11*g**3 - 29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 501*a**2 + 458*a**3 + 422*a**2 - 303*a**2 + 163*a**3 wrt a.\nAnswer: 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24003 + 2?\nAnswer: -24001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 y when four letters picked without replacement from {y: 6, t: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 1. Let x be i\/(-10)*(7 - -1). What is the units digit of 3 + -3 - x\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/160 and -43\/200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*g - 14, -2*k + 5*g + 7 = 2*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14080533107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(252) + -2)**2 + (-6*(sqrt(7) + 0))**2 - (-4*(sqrt(700) - (sqrt(700) + 0 + sqrt(700))) - ((sqrt(700) - (sqrt(700) + 0)) + 4)).\nAnswer: -68*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352173 + -752173. Round v to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = w + 4*p, 6*w - 39 = 4*w + p. What is the least common multiple of w and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 224200537?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -11*l + 0*l**2 + 0*l**3 + 1\/12*l**4 + 0. Let o(s) = 10*s**2. What is o(u(y))?\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/15? (a) -2 (b) -8 (c) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5120.812 to the nearest 10.\nAnswer: -5120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 17. Let l be x\/((-8)\/(-12)) - -14. Solve 9 + l = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*q + 838, -q + 5 - 3 = 0. Is 3\/6*2*z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = v - 4*v, 2*j - 5*v + 23 = 0. Let z be 5 + -3 + j + 3. Factor 3*n**2 - z*n**2 + 10*n**3 - n**2.\nAnswer: 2*n**2*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d**2\/3 + 198*d = 0. Calculate d.\nAnswer: -297\/32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3109520*i**2*m**3*p + 5*i**2*p + i*m**3*p - 8*m**3*p - m**3 + 23700*p wrt i?\nAnswer: -6219040*m**3*p + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406848073 a multiple of 6003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 55\/6, 740.\nAnswer: -0.2, 55\/6, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x**3 + 50*x**3 + 0 + 0.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -4*a - 211786. Let f = a - 4405. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -107*a - 1587. What is u(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-12))\/((12 - -2)\/2128). Let a be (-66)\/(-11)*(-1)\/(-6). Sort a, h, -6 in decreasing order.\nAnswer: h, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 + 1055*m**2 + 50990*m + 715200 = 0.\nAnswer: -149, -32, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + -6.6. Which is the second smallest value? (a) -4 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202247*j - 60129*j - 358243*j.\nAnswer: -620619*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36618470 a multiple of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 5*c**2 + 79*c**3 + 5*c**2 - 5*c**2 + 20*c**3 as n*c**2 + k + j*c**3 + p*c and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2. Let z(s) = 9404007*s. What is d(z(u))?\nAnswer: 530612085936294*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(63\/(-285)) - (33\/(-21) - -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 (base 11) in base 3?\nAnswer: -100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 48*p + 680. Let u be m(-53). Let f = 2443 + u. Calculate the remainder when f is divided by 1\/(-4) - (-81)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1. Let s(d) = d - 6. Let u(l) = -4*j(l) + s(l). Let n(w) = -2*w - 2. Determine 4*n(f) - 3*u(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-3\/4)))\/(g*g*g*g\/(g*g**(-3))*g*g*g)*g**(-6)*((g\/(g\/(g\/(g**(-2\/13)*g))))\/g)\/g assuming g is positive.\nAnswer: g**(-915\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let q(g) = 2*g**2 - 2*g - 1. Let v be q(i). Suppose -4*c = -v*c - 4. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, w: 1, j: 1, i: 1}. What is prob of sequence jl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*s + 6039 = 2*s + 5933, -8*i - 3*s = 154 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {t: 4, b: 14}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-20670)\/156*(-88)\/(-220)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 - 11001100?\nAnswer: -101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475 and 24275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/100396 and -23\/770.\nAnswer: 38652460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose -3*d + 12 + l = 0. Solve 7*z - d*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*r - 2334*l**2 - 777*r wrt r?\nAnswer: -l**2 - 777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5338 + -5543. Put q, 3, 4 in decreasing order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -3*s - 2*s + 3*l, 3*s - 111 = -3*l. Suppose -5*i = 3*m - 6*m - 320, 5*i + 3*m = 320. Calculate the remainder when i is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994, 3912, 8782, 15610, 24402, 35164, 47902?\nAnswer: 62622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:10 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*f)*(1 - 3 + 3)*(599*f + 491*f - 521*f) as z*f**2 + s + a*f and give z.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7. Solve 8 = -3*m - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101101101101110 - -11?\nAnswer: 1111101101101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*n + 4558*n**2 - 4561*n**2 + 218*n)*(6 - 11 + 8 - 6*n).\nAnswer: 18*n**3 - 1743*n**2 + 867*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let j = 3 + -1. Let p(x) be the first derivative of 1 + j + 3 - 7 + x**2. Give f(p(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**3 + 140*q**3 - 33*q**3)*(-3 + 2 + 2).\nAnswer: 99*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4286*c**2 + 4284*c**2 + 0.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7136.943 years to millennia.\nAnswer: 7.136943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6849 (base 10) to base 6.\nAnswer: -51413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 2*l + 14. Let w be o(-6). Let h be (w - 5) + (4 - (-9 - -5)). Let p(t) = h + 19*t - 2 - 3. Let u(b) = 4*b**2. Determine u(p(i)).\nAnswer: 1444*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -49 and 483.302 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597135 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 736460343 and 1269.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16\/7)\/c**(4\/17) assuming c is positive.\nAnswer: c**(-300\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1449 and 989?\nAnswer: 62307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9138641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -18 (b) -10 (c) -3 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 731 + 1447?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213102331 (base 4) to base 2.\nAnswer: 1100111010010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*o + 19*o + 25284 = -5*o. Calculate the remainder when o is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2 + 4. Let f(y) be the third derivative of -5*y**4\/6 - 3*y**2 + 26. What is f(o(u))?\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4187*a - 2431*a = 628710 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 11, -1, -129 in ascending order.\nAnswer: -129, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-266)\/(-56) - 2\/(-8). Suppose 0 = j*z + 5*o - o - 141, -2*z + o + 59 = 0. Calculate the smallest common multiple of z and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d. Let z be (-8)\/(-20)*(11 - 1). Let a(t) = t**2 - 4*t. Let c be a(z). Suppose u = -c*u - 3. Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z**2. Let s(c) be the first derivative of 4*c**2 - 6*c + 3080. Give o(s(b)).\nAnswer: -1024*b**2 + 1536*b - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -5, 2, -6, -36.113?\nAnswer: -36.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 + 1)*(-2 + 0 + 4)*(b - 2*b + 0*b)*(4 + 2 - 3) to the form w + l*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191666406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = 9. Let r(b) = b + 5. Let v(u) = 4. Give d*v(c) - 2*r(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 1053 = -0*i. Suppose 0*o + 4*s - 27 = -3*o, 5*s = 0. Suppose 3*u - o = l - 23, l + 2*u = i. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 20310*p + 12868408.\nAnswer: 2*(p - 9476)*(p - 679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 89 = -9. Suppose i = 2*d - 4*d. Let r be (-2)\/(-7) + 26\/7. Sort d, -3, r in decreasing order.\nAnswer: r, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104269, 104271, 104273, 104275?\nAnswer: 104277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 2*v**2 + v. Let z be s(1). Let k be 1\/((-3)\/(-9))*5. Suppose -z*o = o - k. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -580, -925, -1258, -1573, -1864, -2125?\n\"Answer: c**3 - 352*c - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -4, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1886 (base 14) to base 16\nAnswer: 114e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 4*w**2 + 4*w + 9. What is the smallest common multiple of j(-3) and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*z = 9*z - 80801, 0 = 3*z + 9. Suppose -21*a - 3845 + n = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.5 - 15.6. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.12 to zero decimal places.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 1 + 1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (522\/1827)\/(2\/(-70))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24864*l**3 + 3*l**2 + 21061*l - 10 wrt l?\nAnswer: 149184*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 532782 smaller than 532316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2547 is divided by 86?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 2, q: 1, h: 1, r: 6}. Give prob of picking 2 o and 1 r.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4 + 105*c**3 + 253*c**2 - 4245*c + 7704 = 0.\nAnswer: -8, 3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i - 107*i + 100495 = 129699 for i.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 4*q - 8\/3*q**2 + 0 - 1\/9*q**4 + 8\/9*q**3. Determine s, given that y(s) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from {w: 11, n: 3}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 12*x**2 + 12*x + 8. Determine b(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 12535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 2*g. Let o(s) = 3*s**2 + 5*s. Let h(l) = l**2 + 9*l - 7. Let m be h(-8). Let u(d) = m*q(d) - 6*o(d). Let i(x) = 2*x. Give u(i(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*m + 5*i, -4 = i - 3. Let o be 32\/6 + 1\/(-3). Sort -4, m, o in descending order.\nAnswer: o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 2935\/54?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-308)\/10 - (-2)\/(-10). Let o = 20 + q. Let n = -6 - o. Solve n*f - 41 = 4*a, 2*a = -0*a + f - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313153272?\nAnswer: 2, 3, 421, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k*k**16)\/k*k*k**(-11\/2))\/((k\/(k*k**(-6\/25)*k))\/k*(k**(-26)\/k)\/k*k) assuming k is positive.\nAnswer: k**(2113\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 42*a - 299. Let v be x(32). Solve 5*i - 41 = -15*y + 11*y, -4*y - i = -v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254.778 - -0.08\nAnswer: 1254.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 393, 777, 1147, 1497, 1821?\n\"Answer: -o**3 - o**2 + 394*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-33)*2992\/3672?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/12 + 113521*f**2 + 681127*f\/3.\nAnswer: -f*(f - 1362254)*(f + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*f - 1446, 4*f + 1928 = 4*a + 3*f. Let c = 949 - a. Suppose -r + 156 = 2*y - 157, 0 = -3*y - 2*r + c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 93537675?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720612527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -142, 12, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 9, k: 4}. What is prob of picking 4 l?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15778 + 15849. Solve 73 = 16*w - s for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 + 5 + 2 + -1 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 4 + 4 + -3. Suppose -56 = -3*l + 3*x - x, 60 = 4*l + x. Calculate the greatest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 2, l: 2, m: 6, n: 4}. What is prob of picking 2 n and 1 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*q - 3*q + 90, -2*q = -2*c - 60. Let x = 58 - q. What is the remainder when 54 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 - 58 - c**2 + (-2 + 2 + 2*c)*(0 + 0 + c) + (-c**2 + 3*c**2 - 3*c**2)*(-1 - 1 + 1) + 2*c - 3*c - 3*c**2 + 3*c.\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 68 times -23\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/89? (a) 1.2 (b) -3 (c) 6\/29 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 8*n**2 + 11*n + 9. Let z be f(-9). Let d = z + 32. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0 + 2*s**2 + 0*s + 0*s**3 + 11\/24*s**4. Let g be k(2). Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -24*j + 56. Let i = 8 - -2. Calculate the remainder when i is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(137 + 10 + 433)*(j - j + 3*j) + (-j + j + j)*(-3 - 2 + 8) to the form a*j + f and give a.\nAnswer: -1737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16c + -4a036a?\nAnswer: -4a04d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 + 4*c + 17. Let r(t) = -3*t**2 - 2*t - 8. Let s(m) = 9*r(m) + 4*v(m). Let k be s(3). Let h = 1 - 1. Is h not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 32, 34, 36, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -3*u - y, -y = -u - 4*u - 154. What is the smallest common multiple of 4 and u\/(-9) + (-8)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5673?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927874211.\nAnswer: 277, 10569943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 4*r - 5, -2*p + 11*r - 10*r - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/390 (b) 6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -110, -130, -164, -218, -298, -410, -560, -754?\n\"Answer: -s**3 - s**2 - 10*s - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -q*z + 13 - 34 = -3*a, -z - 5 = 0. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2333.2 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 687709193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6246 - 0.3754. Sort -1.1, -5, 0.1, -0.01, i in descending order.\nAnswer: 0.1, -0.01, -1.1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -3*s**3\/2 + 41*s**2\/2 + 28*s - 85. Calculate v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*d*k**2*y + 4*d*l**2*y + 2*d*l*y - 95*k**3*l - 6*k**3*y - 2*k*y wrt l.\nAnswer: 8*d*l*y + 2*d*y - 95*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 5. Suppose -6*i + 56 = -2*i. Let z(p) = 15 - 3*p - p + 9. Let o = -5 + 2. Give i*k(n) + o*z(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30050 or 570948\/19?\nAnswer: 30050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 12. Let z be s(-10). Suppose 4*v - 3 = c, 2*v - z*c + 2 - 8 = 0. Determine o, given that 2\/7*o**3 + 4\/7*o + 6\/7*o**2 + v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utal when four letters picked without replacement from autgattutlatt?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8206 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 0 - (sqrt(44))**2*-3.\nAnswer: 6*sqrt(11) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26450 - -38461. What are the prime factors of y?\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 - 6*p + 5*p**3 + 4*p - p**3 in the form v*p + d + w*p**3 + y*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*(183 - 66*w - 183)*(6*w + 2*w + w).\nAnswer: -594*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200333013202 - -212?\nAnswer: 200333020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -37. Which is the second biggest value? (a) s (b) -2\/9 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/8 - 18389*p\/8 + 103185 = 0. What is p?\nAnswer: 45, 18344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(2\/3))\/p*p**(2\/45))**(2\/71))**(2\/17))**(-1\/46) assuming p is positive.\nAnswer: p**(56\/1249245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 + 3*k**2 + 6*k**2 - 2*k**2 - 4 + 4 + (-2*k + 0*k + k)*(0*k - 3*k + 5*k) - 5*k**2 + 0*k**2 + 3*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165*(-60)\/13860*(-8)\/5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 15*k - 90. Let l be (8\/(-10))\/(6\/k). Let d(p) = 1. Let j(t) = 3*t - 1. Let w(v) = -4*d(v) - 2*j(v). Calculate w(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4241*(-1 - 0\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - 3)\/3 - -1. Suppose -l = 4*j - 8304 - 11701, c*j - 3*l = 19985. What is j rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5388.4 - -5389. Which is the nearest to -1? (a) -2\/3 (b) 0.11 (c) 1\/4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzewlguuwluuglwwg. Give prob of picking 2 w.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-32))**(8\/3) assuming c is positive.\nAnswer: c**(-256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 + p**3 - 7*p**2\/2 + 3*p. Give i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (297 - 253 - (20 + -1)) + 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 0.2, 3, 6, 0.15, -8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73143987 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 648, 2660, 6666, 13332, 23324?\nAnswer: 37308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -1333*f**3\/3 + 11*f**2\/2 + 29*f + 23. Let t(l) = 333*l**2 - 3*l - 7. Let a(w) = 2*g(w) + 9*t(w). Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028063851 to seven decimal places.\nAnswer: 0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -g - 4, 2 = -0*g - g. Let v be (a - -2)\/(-4 + 2). Suppose -2*d - d = v. Solve -b - 2*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1862, -1702, -1522, -1316, -1078, -802, -482?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 3*c = -59081. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -371 != -1112\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 199*m**2 - 8*m - 19. Is k(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823070 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 87, 0, -13.\nAnswer: -13, 0, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t**2)*(-13777 + 13777 - 180*t).\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (45 - (8 - -61))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.433695697 + -1.0695964409. Let w = -0.6359 - b. What is w rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 - 272 + 402 - 1420 = 72*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -3881.780472?\nAnswer: 3884.780472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**3\/6 + 23*m**2 + m. Is r(0) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 12. Suppose 268 = 4*a - 5*s, -a + y*s + 70 = s. Suppose -a = -3*v - 2. Solve -2*r = 3*r - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 - a + 4. Suppose -i = i. Let z be r(i). Solve -z*d - 3 = -0*d - 3*k, -4*d - 27 = 5*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*t**2 + 0*t**2 - 5*t**2 - t**2 - t**2 + 0*t**2 + 4 - 4 + t**2 + (2 - 2 + 2)*(t**2 - 2 + 2) + 3*t**2 + 2*t**2 - 4*t**2)*(0*t**3 + t**3 + 0*t**3).\nAnswer: 24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (36\/6 + (-16 - -12) + -43)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvezzzgggzzmggvemm. Give prob of sequence zeg.\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 4. Let s(u) = 29*u + 3. Let v(d) = -7*d - 1. Let i(a) = -2*s(a) - 9*v(a). Determine 4*i(f) + 3*m(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-7) + 4 + -3)\/(54\/(-693)). What is the third smallest value in -0.14, -0.1, b, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 28. Factor -92*t + 2*t**2 + 10*t**3 + z + 76*t - 2 - 2*t**5 - 2*t**4 + 0*t**5.\nAnswer: -2*(t - 1)**3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c - 1. Let o be s(7). Suppose -4*z - 15 - 287 = -2*a, 4*z + 2*a = -314. Let q = z - o. Solve -f = 2 + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7890 by -1578.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 6, c: 1, o: 1, p: 4, m: 5}. What is prob of picking 2 u and 1 o?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*t - 7950 = 255*t. Suppose 0 = 2*y - 4*s - t, 241 = y - 2*s + 6*s. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4811789542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 1 - 1)*(10*f - 4*f + 21*f + (-4*f + 0 + 0)*(-1 - 2 + 2))*(-1 + 2*f - 3*f - f).\nAnswer: 124*f**4 + 62*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*l = -256*l - 794808. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, y: 5, a: 1, j: 10, l: 1}. What is prob of sequence jay?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 399.7 * -1502.\nAnswer: -600349.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:11 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:59 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7195 + -0.9195. What is the closest to -39 in 0.7, -2\/11, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.31 + 0.31. Let y = -2.0158 - q. What is y rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28483, -1, -2 in decreasing order.\nAnswer: -1, -2, -28483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-6) - (-4)\/(-3). Suppose 3*p - z + 2*z - 14 = 0, -j*z + 15 = 0. Solve -2*w - 2*g = 3*w, -16 = p*w - 2*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 88\/9 (b) -0.1 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134210 and 26250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-220)\/6)\/(-2)*(-21)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 948*u + 61578. Determine i(61).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 5*h**2 + 17*h + 6. Calculate s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1*sqrt(76)*-1 - (sqrt(76) + 1)*6)*-3 - 6*(-1*sqrt(76) + 1 + 1*(sqrt(76) - (sqrt(76) - sqrt(76)*2)))))**2.\nAnswer: 25920*sqrt(19) + 620784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1728*s**2. Let w(r) = 15*r**2 + 2*r + 4. Determine w(v(z)).\nAnswer: 44789760*z**4 + 3456*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69\/2 + -34. Let d(v) be the second derivative of 1\/4*v**4 + w*v**3 + 3*v + 0 + 0*v**2. Find the second derivative of d(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-2) + 19 - -6*(-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 30657452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/211 (b) -1\/3 (c) 1.9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 4*s - 2*s**2)*(-2*s**2 - 63*s + 62*s + 3*s**2 - 6*s**3).\nAnswer: 12*s**5 + 10*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 26 (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.22990344 to 2 dps.\nAnswer: 63.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75567 + -75564. Let z = 4 - 0. Is w < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 73333.62mm?\nAnswer: 73.33362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2)\/(-4)*-2. Which is the closest to g? (a) 4 (b) 0.2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 937650*h**4 - 28*h**3 - 30404759*h**2 wrt h.\nAnswer: 22503600*h - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*u - 540*u + 79*u.\nAnswer: -1026*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*y - 0 + 1, 5*y = -j - 7. Let d(m) = -104*m**3 + 2*m**2 + m + 1. Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -532, 1\/4, 15, -2\/91 in ascending order.\nAnswer: -532, -2\/91, 0.01, 1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*-2*sqrt(170)*-3)\/(-5*sqrt(80)\/sqrt(2)*4).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-24464)\/(-2640) - ((-9)\/3 - -12)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2595, -0.3, 5, 7, -3 in increasing order.\nAnswer: -2595, -3, -0.3, 0.3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -f + 2*d + 20, 0 = -2*f + 3*d - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -72\/5. Let n = -15.1 - -15. Which is the third biggest value? (a) -0.5 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - 842b74?\nAnswer: -842b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 33\/2. Which is the closest to -2? (a) -0.01 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-100)*-18 + -6. Let n = -4 + 7. What is the closest to -3 in 1, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*v**2 + 170*c**3*v - 2*c**2*v**2 + 562*c**2*v wrt c.\nAnswer: -24*v**2 + 1020*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 110, 105, 100, 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256.999926 + -257. Round n to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-12)\/280 - (-6)\/21. Let s = 10.8 - 12. Let n = 9.15 - 7.15. Which is the third biggest value? (a) h (b) -1 (c) n (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*c = 41, 12*d - 15*d + 10*c = -43. Solve 4*m = n - 8, 16*m + 10 = -n + d*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or -238117\/14?\nAnswer: -238117\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c - 4*c)*(8 + 1 - 2).\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 3*k + 0*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331.2778mm to meters.\nAnswer: 0.3312778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 16*u**2 - 4. Let c(r) = r**2 + 1. Suppose -175*m + 76 = -83*m - 73*m. Calculate m*c(o) + b(o).\nAnswer: -o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8*(5 + -3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 54.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 1 p when three letters picked without replacement from wpwxwpdewwppwp.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1064 + 1069. Solve x = 2*x + i - 2, 3*x = -2*i + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144690 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 15*a + 19. Calculate z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 7 = 0. Let y be x\/3 - (-4)\/6. Suppose 3 = y*o - 45. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 11*g**2 - 26*g. Let f(a) = 2*a**3 - 4*a**2 - 9*a. Determine -17*f(y) + 6*r(y).\nAnswer: 2*y**3 + 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 140*n + 980 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5431*a - 783. Is h(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yei. What is prob of picking 1 i and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 5. Suppose -2*s + 421 = -z, -z + 2*z + q = 0. Calculate the highest common factor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12057 + 12055. Let g(c) = -14*c**2 + 4*c - 4. Let p(v) = v - 1. Calculate o*p(u) + g(u).\nAnswer: -14*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 3*b - 204. Suppose -3*n - 16 = -2*v + 39, 4*v - 3*n - 95 = 0. Suppose -7*w - 442 = -v*w. Calculate the highest common divisor of w and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 39\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 12. Let s be (9\/(-4))\/(n\/(-16)). Let l be (s\/(-4))\/(3\/(-1)). Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2015 and 47740?\nAnswer: 620620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/16, 650, -1, 1\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 bigger than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9803*g + 19372*g - 9693*g - 10664 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 794\/9 - 1586\/9*u + 2\/9*u**3 + 790\/9*u**2.\nAnswer: 2*(u - 1)**2*(u + 397)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*r**2 + 0 + 0 - 10*r**2.\nAnswer: 140*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*b**4*z - 3935*b**2*z**2 + 20*b + 808*z**2 wrt b.\nAnswer: 1128*b**2*z - 7870*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3181, 6389, 9599, 12811, 16025, 19241?\n\"Answer: s**2 + 3205*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187847, 375697, 563547, 751397, 939247?\nAnswer: 1127097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -30. Factor -4*t**5 - 9*t**2 - x*t**4 - t**2 + 4*t**3 - 2 + 3 - 24*t**3.\nAnswer: -(t + 1)**4*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1375 - 13761\/10. Calculate the common denominator of -246*2*(-2)\/(-80) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -41*v - 145 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.4 - -13.24. Let b = 197705 - 197706.84097. Let w = a + b. Round w to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/145 (b) -2 (c) 25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:03 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dryp when four letters picked without replacement from pyrpydpzpmmypyzmppm.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 38. Let q(z) = -6*z - 11. Let d be q(f). What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 144512?\nAnswer: 144455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189\/34 - -86\/17. Let f = 0.21 - 1.31. What is the smallest value in f, -3, 4, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50105 by 4555.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)\/(y**(-14)\/y))**(-15))**41 assuming y is positive.\nAnswer: y**(-9430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 621.8637 kilograms?\nAnswer: 621863700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(11) - sqrt(44)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*u = 19, 3*a + 5*u - u = -23. Let c(m) be the first derivative of -m**2\/2 - 3*m + 1514. Let o be c(a). Solve r + o = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 14*u + 13. Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122532077.\nAnswer: 122532077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30459 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*y**2 + 155*y**2 + 145*y**2 - 4*y**3 + 2*y**3.\nAnswer: -2*y**3 + 419*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1755, 5, 480 in descending order.\nAnswer: 480, 5, -1755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:51 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123\/2 + 59. Let m = x - -9\/4. What is the closest to -1\/3 in 4, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 499865287 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 46*v**2 + 169*v + 457. Let m be o(-42). Solve -8*b = -351 + m for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 2:43 PM?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.15 - -18.15315. Round g to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 3*r. What is the smallest common multiple of c(3) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-180))\/(2\/(-212)). Let a = y + -8\/5. Let h be (5\/(-2))\/((-100)\/120). Put h, 0.3, a in ascending order.\nAnswer: a, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13011875.61 rounded to the nearest one thousand?\nAnswer: 13012000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -15.\nAnswer: 142\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 - 7953*d**2 - 126525*d - 118575 = 0.\nAnswer: -2635, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23524, 46245, 68948, 91627, 114276?\n\"Answer: -v**3 - 3*v**2 + 22737*v + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/((-18)\/9) - -77. What is the greatest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8070 != -8010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:02 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13004*x**2 + 23723 wrt x.\nAnswer: 26008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, a: 2}. What is prob of sequence aeea?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 39 + 31 = 0. Let m be -3 + 3 + 2*-1. Let t be 1 + 1 - (-1 - m). Solve 3*a = -t - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513402 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -5 (b) -43 (c) -0.1 (d) 1\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 21. Suppose -5*t + 87 = -78. Calculate the least common multiple of t and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*g - 6, 0 = 101*k - 104*k + 3*g - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -515 (base 6) to base 5\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 h when four letters picked without replacement from heeqeieiq.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -124*o**3 - 7*o**2 - 11*o - 2017. Let i(k) = -53*k**3 - 3*k**2 - 5*k - 1008. Give 3*b(s) - 7*i(s).\nAnswer: -s**3 + 2*s + 1005","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81016 and 780520.\nAnswer: 32001320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i - i + 4*i)*(2*i**3 - 6*i**3 - 3*i**3) + 99*i + 6*i**4 - 99*i to the form p*i + o*i**4 + r*i**2 + u + z*i**3 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Let h = x - 3. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88.752 * -3\nAnswer: 266.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 765, 1544, 2623?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1456909172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 2, d: 1, r: 2, a: 1}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 + 183*h - 227. Calculate k(41).\nAnswer: -2810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 146*c**2 - 52*c + 8. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2\/7, -4\/31895 in descending order.\nAnswer: 2\/7, -4\/31895, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x*x)\/(x\/x**(2\/15))*x**(-1)\/(x*x**(-2\/3)*x*x))\/((x*x**(-2)*x)**(-2\/77))**(-3) assuming x is positive.\nAnswer: x**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 3*-2) + 0. Let p(w) = 3*w + 1 - 4*w + 21*w**2 - 21*w**2 - w**u. Let o be p(0). Which is smaller: o or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 8:10 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/(20\/100).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18101 - 10291. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123b84 + -1?\nAnswer: 123b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 343 = -1301. List the prime factors of u.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235231141197*y + 25*y**3 + 235231141197*y.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 8*t**2 - 14*t - 6. List the prime factors of w(-9).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 - 18 - m + 52)*(5 - 5 + 12*m).\nAnswer: -12*m**2 - 864*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 38*i**2 + 2*i - 598. Let v be u(33). Which is smaller: v or -5979?\nAnswer: -5979","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33898 * -3\nAnswer: -101694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 11:39 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 9. Let l = -18.2 + g. What is the third biggest value in l, -1, -1\/3, 0.07?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 74*f - 60*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iid when three letters picked without replacement from iiiiiiiiqdqiii?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(57)\/(sqrt(9)\/sqrt(3)) + 0 + sqrt(1216)*1*3))**2.\nAnswer: 47503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**2 + 0*u**3 - 1\/2*u**4 + 0 + 34*u + 3\/4*u**5. Factor y(w).\nAnswer: 3*w**2*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + (-20)\/(-1). Let u be (350\/q)\/(4\/6). Suppose 0*y = -2*x - 3*y + 34, -3*x + 2*y = -u. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 2*h**2 + 5*h + 2. Suppose 2*w = 5*i - w + 3, -2*i - 5*w = 26. Let d be c(i). Let u = d - -24. Solve 4*z = -z - u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/480 in 3\/4, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 10*k**8\/21 - 242*k**7\/105 + 41*k**6\/10 - 43*k**5\/15 + k**4\/6 + 1773*k**2 - k. Solve s(z) = 0 for z.\nAnswer: 0, 1\/40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011110011100001100 (base 2) to base 5.\nAnswer: -331413104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3084 <= -3085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 d when three letters picked without replacement from {a: 2, n: 5, g: 2, f: 2, c: 2, d: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11689)\/(-5) + 41\/205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 23*n + 53. Let u be k(20). Let o = -108 + u. Which is the closest to -16? (a) o (b) 1\/10 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532225.\nAnswer: 5, 61, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*a + 74*a + 245. What is the remainder when a is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49846 - 5?\nAnswer: -49850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 2. Suppose 0 = u - 2*b - 19, -u - 5*b - 22 + 76 = 0. Calculate the remainder when u is divided by h(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Let t = 4 - 14. Let n = t + 6. Which is the closest to l? (a) -0.4 (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-410)\/(-35) - (-6)\/21. Is (8\/(-10))\/(a\/(-150)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.831258 and 44792263?\nAnswer: 44792259.168742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4440, -2984, -556, 2844?\n\"Answer: 486*l**2 - 2*l - 4924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*c + 32, -18*p + 4734 = 13*c - 21*p + 4686 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 13*u + 43. Let g be 48\/(-36)*6\/u. Solve 3*m - 4 = g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/((-26)\/13))\/((-4)\/(-200))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - 3*w**4 - w**4)*(1 + 2 - 2)*(-2*w + 4*w + 0*w).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 32932?\nAnswer: 164660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -21947\nAnswer: 8778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27954436901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-7)\/((-182)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/67052710 and 3\/266.\nAnswer: 469368970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 4*z**2 + 3*z**3 + 5*z**2 + (z**3 - 3*z**3 + 3*z**3)*(-13 + 7 - 3) + z - z - z**3 as r + w*z**3 + o*z**2 + g*z and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90361 and 1417?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5\/3, 0.06, -5.5 in increasing order.\nAnswer: -5.5, -3, -5\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -9 + (3 + -1 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-17) - 280\/(-3740) and 47\/2.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -32 (b) 5 (c) -4 (d) 4 (e) -2\/535 (f) -0.4 (g) 0.127\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effyfyffyjffjfjfefff. What is prob of picking 1 y and 3 f?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r + 74. Let d be l(6). Calculate the highest common factor of 38 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 25)*2\/(-4). Let q(m) = m**2 - 26*m + 8. Let c be q(13). Let n = 163 + c. Solve 0 = -2*s - n*s + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 2\/165*i**6 + 2\/11*i**4 + 0 - i**2 - 1\/1155*i**7 - 3\/11*i**3 + 3*i - 1\/15*i**5. What is s in y(s) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6 + 6 + 4*v - 4. Let x be (3 - -18)*6\/18. Let n be j(x). Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 0.249444.\nAnswer: 9.478872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/56610525 or 0?\nAnswer: 2\/56610525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4\/3 (c) -1005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/293 + -313\/2930. Let v = -3950\/14529 + -2\/501. Let c = -172\/203 - v. What is the closest to -1 in 0.2, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 419073 and 2.4.\nAnswer: 1005775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.34293 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*r**2 + 2771*g*r**2 - 110710*r**2 wrt g.\nAnswer: -2*g*r**2 + 2771*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h - 4*h + (-3 - 1 + 3)*(0*h - 5*h + 3*h) - h + 2*h + h - 32*h + 49*h + 17*h - 1 + 1 + 2*h)*(0 - 4 + 5) to the form j*h + c and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0.05 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196.65 + -4.65. Let q = 279 - s. Is q at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -915 (base 15) to base 9\nAnswer: -2722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -15. Suppose m + m = q. Suppose 2*j - 24 - 64 = -4*g, -m*j + 2*g + 70 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let n(c) = 1385*c**2 - 9*c - 3. Let z(q) = -4154*q**2 + 24*q + 8. Let t(j) = -8*n(j) - 3*z(j). Give v(t(x)).\nAnswer: 3819848*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 118438443023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18822\/19 or 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010 - 101101111111001?\nAnswer: -101110000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114907*j**4 - 53*j**3 + 77504784*j**2 wrt j.\nAnswer: 2757768*j - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995463343?\nAnswer: 7, 383, 371303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*x - 18 = -2*x, -3*x = 4*d - 22. Suppose -5*i = 5*y - 5, -d*i = -6*i - y + 5. Solve 23 - 3 = -i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:32 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 11*k - 15. Let p be a(7). Let y = -39\/28 - -223\/140. What is the nearest to -0.1 in y, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 540 = -47. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 38.99986. What is r rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let f = 130 + -131. Which is the nearest to -2\/7? (a) f (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 101211000022211?\nAnswer: -101211000022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - s - 12, 3*r + s = 28. Suppose 0 = -11*p - 56 + 441. What is the remainder when p is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + -156. Sort -4, h, 0.8 in descending order.\nAnswer: h, 0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1890 by 630.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1414 - 1411. Which is the third biggest value? (a) -1\/8 (b) -0.02 (c) -6 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22385.925 + -22434.9250115. Let h = r - -49. What is h rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-638)\/(-87))\/((-6)\/9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4671834 grams to kilograms.\nAnswer: 0.0004671834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooer when four letters picked without replacement from oworooelrrowwdlwlor?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*o - 11*o**5 + 119*o - 25*o**5 wrt o?\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61.4 + -72. Round t to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3805, 15192, 34183, 60772, 94953, 136720?\nAnswer: 186067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 5*y**2 - 3*y**2 + (y - 3*y + y)*(-2*y + 0 + 0) + 3*y**2 - 4*y**2 - y**2 + (-12*y + 8*y - 9*y)*(-2*y - 2*y + 6*y) as l + p*y + r*y**2 and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3496516 divided by -32986\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8148 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:12 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 - 213. Let z be 5 - (-4)\/(-3)*(h - 1). Sort 27, z, -3.\nAnswer: -3, z, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by -1 - -1 - 30\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60830 - 36335. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.35559ns to microseconds.\nAnswer: 0.07135559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9615 divided by -2?\nAnswer: 9615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.2, 675, -2\/153?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/60 + 6*m**2 + 21*m. Let f(d) be the first derivative of y(d). Let t(r) = -111*r**2. Give f(t(k)).\nAnswer: 12321*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61320 and 107520?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29c - 9?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2684 and -0.0249?\nAnswer: 66.8316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 50 = -69. What is the remainder when 37 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(75))**2 + -3 + sqrt(75) - 6*(1*sqrt(75))**2) + ((sqrt(75) + 2 - sqrt(75)) + 2)**2*-6 + -1)*-4.\nAnswer: -20*sqrt(3) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -49 + 1. Let l = 3 + u. Calculate the remainder when l is divided by -1 - 1 - (1 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - -5 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -18. Let d = 13.0052 - 0.0452. Let g = d - p. Which is the third smallest value? (a) -4 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose 51 = 4*k + 3*q - 52, -2 = -2*q. Which is the biggest value? (a) k (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234673814711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -174, -298, -422, -546, -670?\n\"Answer: -124*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3 + 12507*i**2 + 199428*i + 348852 = 0?\nAnswer: -4153, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 70.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -37\/95 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 106.1. Let s = f - -5. What is the second smallest value in 2, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.1, 0.5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 + 2 = 0. Let k(t) = 0 - 2 - q + 2 + t + 2*t**3 + 3*t**2. Let n(w) = w**3 + 2*w**2 + w. What is 2*k(d) - 3*n(d)?\nAnswer: d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2\/821 (b) 0.77 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131 and 3235443.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2494*1.142\nAnswer: -0.2848148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4773 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051694 rounded to 5 dps?\nAnswer: 0.00517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573947300758.005291 - -601444903193.0052209. Let i = -27497600974 + l. Let c = i + -1461. Round c to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -826*n - 20793. Give j(-25).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1919 and -0.103507?\nAnswer: 198.629933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700477609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 57 + 125 - 177 + 6*j. Suppose 5*w + 29 = -0*w - 3*b, 0 = 2*b + 6. Give r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84258 + 230634 = 19*j. List the prime factors of j.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-15)\/(-60) + (-158)\/(-8) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*(-91)\/(-42)*4. Let v be z - (2 + -3)*(2 - 2). Let f(d) = 5*d + 15. What is the units digit of f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64230259 to the nearest integer?\nAnswer: 8014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -9\/7 in ascending order.\nAnswer: -21, -2, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2 (b) 5 (c) -31\/2 (d) -8\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/5))**(-3\/2))**(-33) assuming g is positive.\nAnswer: g**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 7, 3 in ascending order.\nAnswer: -5, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520472 and 260236.\nAnswer: 520472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8907, 10115, 11315, 12507, 13691, 14867?\n\"Answer: -4*x**2 + 1220*x + 7691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28349440 divided by -177184\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 39 = -34. Let y = -25 - u. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -5*d. Let i = 15 - 11. Suppose 0 = f - d*v - 16, -i*v = -0 + 20. Solve 0 = -5*y + 31 - f, -16 = r - 3*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*u - 1127 + 1092, 5*u - 35 = 3*x. Solve 0 = -j - 3*w, 3*j = -5*w + 3 - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8748 + -8743. Sort 0, u, -5, 15 in increasing order.\nAnswer: -5, 0, u, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78491.218 rounded to the nearest one hundred?\nAnswer: -78500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 242.\nAnswer: -5\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 - -1110111010111?\nAnswer: 1111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 27*g**2 + 338*g + 799. Calculate o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * 27469.3.\nAnswer: -1867912.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*b - 7023 = 0, 4*b - 28032 = 27*t - 31*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1. Let c(l) be the second derivative of l**4\/4 - 3*l**2 - 31*l - 7. What is c(z) + 5*o(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -574?\nAnswer: -2296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t + 1. Let f be w(5). Let s = f - -43. Is 1348 - s\/5*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(360)\/sqrt(192))\/(sqrt(216)\/sqrt(4)) - sqrt(15)\/(sqrt(3) - ((sqrt(75)*-1 - sqrt(75)) + sqrt(75)))*1).\nAnswer: -4 - sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*r**2*y**2 - r**2 - 3843*r*y**2 wrt r?\nAnswer: 660*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - 2\/5. Suppose -d - d = h. Solve -3*u + u + 8 = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 1 - 3*y**2 - 7*y**4 + 9*y**4 - 6*y + 2*y**3 in the form q*y + l*y**4 + w*y**3 + d*y**2 + g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 308574771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/17))**(-2\/57) assuming h is positive.\nAnswer: h**(-2\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 - 751*x**2 + 135*x - 9929. Give m(-188).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 5*r - 2 + 0)*(1 + r - 1).\nAnswer: 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44886 is divided by 3722?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -67*i**2 - i + 20. Let p(w) = 73*w**2 + 2*w - 21. Let l(q) = 12*a(q) + 11*p(q). Give l(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 8*p + 15. Let o be d(8). Solve -5 = 5*a + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 + 15*f**3 - 289*f**2\/2 + 570*f - 800.\nAnswer: -(f - 16)*(f - 5)**2*(f - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-5))\/(25 + (-29190)\/1170 - 272\/(-780)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 93*g**3 + 57*g**3 - 36*g**3.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 319, 316, 313, 310, 307?\n\"Answer: -3*l + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {q: 2, m: 4, o: 1, l: 1, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -6 - -5) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3*p + 11 + 4*p)*(p**2 + 9*p**2 - 7*p**2)*(0 + 0 + p).\nAnswer: 3*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -100*j. Let r(l) = 906*l + 1. Let q(s) = -r(s) - 9*w(s). Let p be (-1)\/2*2\/1. Give q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6*i - 11*i + 7*i)*(-3 - 2*i + 3 + (2*i - 8*i + 3*i)*(2 + 1 - 4) + 23 + 3*i - 23).\nAnswer: 8*i**2 - 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/7)*(z\/z**(-4))\/z)\/(z\/z**(4\/3))**(1\/4) assuming z is positive.\nAnswer: z**(415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/6, 0.5, -0.2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 166*q**2 - 326*q - 1563. Let b be u(168). Calculate the highest common factor of b and 2899.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**2 + 45*u + 46. Is o(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, -2\/433, -0.39996?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b + 1387?\nAnswer: 13c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from pfqffffffffpfpff?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -329358 divided by -11?\nAnswer: 329358\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/9196 + 156335\/27588. Let u(h) be the first derivative of -13\/4*h**4 + 0*h - 5 + a*h**3 + 0*h**2. What is the third derivative of u(n) wrt n?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 19. Suppose -4*y = 3*t - 16, 3*t - 8*y + 15 = 91. Calculate the smallest common multiple of g and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 - 3*c + 1. Let x be k(4). Let t = x + 245. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5603*k**3 - 16827*k**3 - 2*k**2 + 2*k**2.\nAnswer: -11224*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14183719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26857\/23140 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.5? (a) -4 (b) 51 (c) 1 (d) -3 (e) 0.02 (f) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 337416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 + 45*t + 24. Let f be j(-11). Let v = f + -189. What is the remainder when v is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4044 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 724, 6, -1\/4 in increasing order.\nAnswer: -1\/4, 6, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**5\/k)))\/k**(-7))\/((k**(-13)*k*k)\/k**(-5)) assuming k is positive.\nAnswer: k**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 11*t**2 + 25*t + 143. Let k be m(-12). Is k <= -363\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44594 divided by 9?\nAnswer: 44594\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, 4, 0, -20, -1, -6717\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -484 + 614. What is the highest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24690.21 - -24540. Let f = w - 4.79. Which is smaller: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - 0.15. Let z = 1.503 - 6.503. What is the biggest value in z, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.74 + -22. Let p = u + 1.66. Suppose -22 = 3*v + 5*h, 0*v - v = -3*h - 16. Which is the smallest value? (a) -0.5 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249c (base 13) to base 4\nAnswer: -1101033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3981997 or -3981993?\nAnswer: -3981997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53194367 is divided by 1669.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7\/5)*i)\/((i**(1\/14)\/i)\/i*i) assuming i is positive.\nAnswer: i**(107\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 - 153. Calculate the greatest common divisor of 341 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -52*q - 3. Let y(l) = 95*l + 5. Determine 11*m(a) + 6*y(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 769*x - 36*x**2 - 34 - 769*x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from eeeegegeeeeeeeeeeege.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43833393 to the nearest integer?\nAnswer: 6621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 5*x - 6. Let i be t(-2). Suppose -y - 4*w + 14 = i, 0 = 5*w - 6 + 1. Solve -y*q + 10 = -8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.53938, 0.3, -3\/377, -1\/5 in decreasing order.\nAnswer: 0.53938, 0.3, -3\/377, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6498523329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(1377))**2*-6 + -2 + 5 + (sqrt(68) + sqrt(68)*-2*3)\/(sqrt(64)*-5).\nAnswer: 865*sqrt(17)\/4 + 8289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30400 and 23750.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103103?\nAnswer: 7, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 4, 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -106450 divided by 21290?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20250 divided by -13328?\nAnswer: -10125\/6664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504166 is divided by 10468?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053 - -32.8189.\nAnswer: 32.7659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 11 = -3*j - 3*d, -2*j + 5*d = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/27*(26 - -1). Are 9 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 5 + g - 17*g**2 - 4. Let u(x) = 8*x**2 - x + 4. Let w = 1608 - 1599. Give w*u(k) + 4*m(k).\nAnswer: 4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 124*w + 2312. What is a(-21)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 + 268. Sort 12, 0.2, v, -0.4 in ascending order.\nAnswer: v, -0.4, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -34, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 388*j + 24062. What is m(-62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4469 and -22346\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 153*y**2. Let x(r) = 4*r - 11. Determine s(x(a)).\nAnswer: 2448*a**2 - 13464*a + 18513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, 470, 439, 388, 311, 202, 55, -136?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/420)\/(13\/24)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -205, -424, -631, -820, -985, -1120, -1219?\n\"Answer: z**3 - 226*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 89. Suppose r*i - 111 = 793. What are the prime factors of i?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -179*s**6 + 5*s**3 + 150*s**2. Let y(h) = -h**3. Let a be 12\/15 + 19\/95. Let x(q) = a*l(q) + 5*y(q). Find the third derivative of x(r) wrt r.\nAnswer: -21480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*v = 46, -v - 754 = 9*d - 547 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*22*-1*30. Suppose -4*t + 49 = -87. Let n = t + -14. What is the greatest common factor of s and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o - 5*x + 8, -3*x = -5*o + 36. Suppose -o = -3*b + 3. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/975)\/((-6)\/(-36))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 4.2. Let y = v - -6.7. Round y to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-52)\/(-1))\/(-1)*(-10 + 8). Suppose -7*f = -n - 253. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 1. Suppose 5*c = -5*m - 7 - 8, -4*m - 2*c - 10 = 0. What is i(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 5*r - 8. Let q be m(7). Let l = q + -128. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3 - 7, 2 = -2*b - 4*x. Let k = 15.8 - 16. What is the third biggest value in k, 0, 1\/9, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 - 19978*h**3 + 59954*h**2 + 19978*h - 59952 = 0.\nAnswer: -9992, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = 2*s - 7, 3 = -o + 4*s. Sort 4, 2, -1, o in descending order.\nAnswer: 4, 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 178?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350870.1 litres to millilitres.\nAnswer: 350870100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 11220334?\nAnswer: 11220333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g - 2*g**5 + (1 - 1 + g)*(g**4 + g**4 - 4*g**4) + 0 + 35*g**5 + 21*g**4 - 34*g**5 - 2.\nAnswer: -3*g**5 + 21*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-16) - 12032\/(-6144))*(-2)\/56\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*m + 5 = -340*m - 37. Calculate the remainder when m is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 66. Sort 1\/11, j, -1.\nAnswer: -1, 1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3660 (base 14) to base 11.\nAnswer: 714a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*z - 6, 4*z + 19 = 9*z + 4*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -395 (b) 4 (c) 1266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 9*h + 42014*h**2 + 42013*h**2 - 84024*h**2 + 13*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 29148307.\nAnswer: 116593228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48.6 - -48. Let g = 26.6 - 27. Sort -2\/15, j, g in descending order.\nAnswer: -2\/15, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:18 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360 - 356. What is the nearest to -12 in 5, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - 52 - (1 + 2 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 107465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*j**2 - d**3*j + 6047*d**3 - d**2*j - 13803*d**2 - 2*j**2 wrt d.\nAnswer: 18*j**2 - 6*j + 36282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 2, b: 1, x: 1}. What is prob of sequence ubl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(12\/5)\/w)\/w**(-33))**(-19) assuming w is positive.\nAnswer: w**(-3268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48967\/6 + -8161. Which is the nearest to -2\/3? (a) 0.16 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)*l**(-2\/7))\/(l**(-1\/8)*l\/(l\/(l\/l**(3\/5)))))**32 assuming l is positive.\nAnswer: l**(-7348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*(d*d\/(d\/(d\/(d\/(((d**(-1\/2)*d)\/d)\/d)))))\/d*(d*d\/(d\/(d\/(d\/d**3)*d*d)))\/d**1 assuming d is positive.\nAnswer: d**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -527, -1053, -1579, -2105?\n\"Answer: -526*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(4)\/(sqrt(4)\/sqrt(2)) + sqrt(2) + sqrt(8)\/(sqrt(4) + sqrt(36) + sqrt(4)))**2 + 0.\nAnswer: -247\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-324) - ((-2951)\/(-78) + 21)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84\/2993 or 0?\nAnswer: 84\/2993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -4. Let m(q) = 2*q**3 + 2*q**2 - q + 4. Let x(v) = -v**3 - v**2 - 1. Give o*m(s) + 4*x(s).\nAnswer: -2*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6 = -9*x, 2*x = 18*n - 20*n + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*t = -12, 4 - 1 = -t. Solve y*j + 8 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*16\/(-400)*(-10)\/(-16)*2.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*r + 2*l, l + 0*l + 271 = 5*r. Suppose -2*t = -21 - 163. Suppose -4*i + t = 4. Calculate the highest common factor of i and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 7 - 7 + 6 + 2*z**3 to l*z + w*z**2 + m*z**3 + t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 16725120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -i - 3*g - 413, 5*g - 2082 = 4*i. What is i rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 7*x = -555 - 595. Solve -x = 20*p + 90 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578701, 2314761, 5208195, 9259003, 14467185, 20832741, 28355671?\nAnswer: 37035975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 6:58 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -29*y**2 - 71*y - 71. What is z(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwwwswswwww. Give prob of picking 1 s and 2 w.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21582639 to the nearest integer?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - 38. Let s = 245 + p. Let q = s + -106. What is the highest common factor of q and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -16*w. Solve 4 = 4*r - w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1609375*n**5 + 28*n**2 + 66045*n?\nAnswer: 96562500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + o)*(2 - 5 + 4) + o + 2*o - 5*o + (-183 + 105 - 102)*(2*o - o - 3*o).\nAnswer: 357*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114\/235 - -4\/47. Let w be 4*-2*(-3)\/(-372). Let r = w - -37\/93. Which is the second smallest value? (a) 2 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p. Let m(i) = -5*i + 3. Let u(b) = -4*b + 2. Let h(c) = -2*m(c) + 3*u(c). Determine l(h(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -30. Suppose 5*m + d = 7. Which is the nearest to m? (a) -3\/2 (b) 1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.62 + 1.45. Let b = 1.93 - 2. Let w = v + b. What is the closest to -0.1 in w, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 5, a: 3}. What is prob of picking 1 q and 3 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202042?\nAnswer: 2, 101021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1097 - -1099. What is the fourth biggest value in 1, -3, p, 57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywn when three letters picked without replacement from wnwnnyw.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/15 + (9\/(-5) - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18)\/(sqrt(30)\/sqrt(5)))**2*5.\nAnswer: 20*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/10, -2\/345, -1\/8, 0.2.\nAnswer: -2, -1\/8, -1\/10, -2\/345, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/5 + 2 + 1 + -1. Let v be ((g - 3\/(-6))\/(-1))\/(-2). Put -1\/6, -0.2, 0.1, v in descending order.\nAnswer: 0.1, -1\/6, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((15 - 14) + (1 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 14*t - 48. Let l be d(-6). Suppose 3*h + 2*k = 46, -2*h + 2*k + l*k + 14 = 0. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333749 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Let u(m) = 16*m + 11. Let x(d) = 6*d - 1. Let o(p) = 7*p - 2. Let s(r) = -3*o(r) + 4*x(r). Let y(b) = -11*s(b) + 2*u(b). Determine y(k(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 11986635?\nAnswer: 11986618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005240914 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*w**3*z**4 - 1200*w**3 - 2*w**2*z**2 + 628*z**6 wrt z.\nAnswer: 504*w**3*z + 75360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475782199?\nAnswer: 475782199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**2\/2 - 5*u - 1. Let a be 1 + 2 + -3 + 5. Suppose -m + 5 = 5*t, -m + 2*t = a*t - 3. What is f(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14 = -6. Suppose 0 = 3*a - 17 - 1. Let l = a - m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (1 - 0) + 13. Let a(x) = x**3 - 11*x**2 - 11*x - 9. Let j be a(12). Let p be (-3 + j - -59) + 1. Calculate the highest common divisor of u and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 21*s + 7. What is the units digit of (s\/(-4))\/((-3)\/(-394))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose 0 = 3*w - 410 - c. Let x = -94 + w. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -59. Let x(w) = 13*w**s - 8*w**3 - 30*w + 36*w. Let p(g) = 4*g - 2*g + 3*g + 4*g**3. Give -6*p(l) + 5*x(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179265808229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -55, -91, 40.\nAnswer: -91, -55, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - 656 = -4*l, -4*l - 2*c + 652 = 0. Suppose -t = -3*k + 7*k - 56, 0 = k + 5*t + 5. What is the remainder when l is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387536359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 22. Let h be i - 22\/18 - 33618\/351. Let m = 184 + h. Calculate the highest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*1\/2 - (-144)\/(-60). Let m = -1 + -0.2. Which is the second smallest value? (a) l (b) m (c) 0.1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29231 + 175387\/6. Let v(l) be the third derivative of 0*l - 19\/24*l**4 + 0 - 35*l**2 - u*l**3. Calculate v(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -43. Which is the fourth biggest value? (a) 3 (b) -4 (c) r (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 * -55.628\nAnswer: 10680.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7974 and 2692554.\nAnswer: 8077662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*t - 5*r, -t - 2*r - 39 - 34 = -78 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/612 and 143\/4889172?\nAnswer: 249347772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21337 + -15855. Is 10961\/2 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -245, -376, -507?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a - 2. Suppose 4*i + 23 = 4*g + i, -5*i = -5*g + 30. Suppose h - g*h - 20 = 0. Let q(b) = -3*b**3 + 7*b + 5. Give h*x(r) - 2*q(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxuxxxuxuuxxxxuuxx. Give prob of picking 2 x.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times 27\nAnswer: -113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1440\/101 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59657 and 18356?\nAnswer: 238628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a = -27197 + 22227 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 4. Let w = 0 + 2. Let y(q) = -6*q**3 + 2*q**3 + 0 - 9. Let d(f) = w*y(f) + 5*i(f). What is the first derivative of d(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)\/(q*(q\/q**(-10\/11))\/q))\/((q**(-26)*q)\/q**19) assuming q is positive.\nAnswer: q**(298\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, w: 2, e: 5, k: 2}. Give prob of sequence geg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9220 by -461.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100110010 (base 2) to base 10.\nAnswer: -7986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 108 = 16*v. Let c = -21 + v. List the prime factors of 1*(-4 + c + -3) - -103.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3 + 0)*-4. Let b(i) = -9*i - 9. Let u be b(-3). Let m = u + a. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 103*c**3 - 2*c + 8 - 101*c**3 + 9 - 30 + 9. Let u(x) = -4*x**3 + 5*x + 9. Determine 7*i(h) + 3*u(h).\nAnswer: 2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4048 - 256.0752. Round a to the nearest integer.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**4 + 10965*m**3 - 5750495*m**2 - 10965*m + 5750500 = 0.\nAnswer: -1, 1, 868, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 192\/15*(-10)\/(-2). Suppose -n = -3*o + 26. Let v be ((-6)\/(-5))\/((-6)\/o). Let y(q) = q**3 + 7*q**2 + 4*q - 6. Calculate y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvh when three letters picked without replacement from alkahnhhvvnl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 488594 + -287258. Let c be k\/(4 - (-22)\/(-6)). Suppose -2*z = -5*x + 162612 + 139378, -4*z - 4*x = c. What is z rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/240 - 11*h**5\/120 - 5*h**4\/24 + 2*h**2 + 211*h. Suppose q(a) = 0. What is a?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = m + 90, 6*l + 5*m + 59 = 3*l. Suppose -21*j - 4*j - 850 = 0. Let s = l - j. What is the remainder when 19 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123600386 - -3336619138\/27. Let q = s + 21902. Calculate the common denominator of q and 25.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 92*b**2 + 4*b - 11. What is the hundreds digit of t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*4\/(6\/(-3)). Let r = w - 1. Find the third derivative of r + 3*g**3 - 1 - 3*g**2 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h**2 + 6. Let u(z) = -41*z**2 - 11. What is -5*b(p) - 3*u(p)?\nAnswer: 18*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-439*r - 427*r + 924*r)*(2 - 2 + 1)*(-3 + 1 + 0) to o*r + h and give o.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plyoocwc. Give prob of sequence cylc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19e7 (base 15) to base 8\nAnswer: 12761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 11)*(-5 + 2 + 2)*(-6*f + 4*f - f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -7. Let v(w) = -7*w - 17. Let k(r) = 3*r**3 - 2*r**2 + r. Let j be k(1). Let z(h) = 3*h + 8. Let q(l) = c*z(l) + j*v(l). Give q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 12*o - 36 = 36*o, -2*l + 17*o - 21*o = 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67648 and 44?\nAnswer: 744128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109503?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -4\/7 (c) -4 (d) 0.4 (e) -6\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8137 is divided by 207.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416802782 to the nearest integer?\nAnswer: 37640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17501286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 2733724 > 35538420\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w\/w**(1\/4)*w*w)\/w*w*w)**31)**(31\/4) assuming w is positive.\nAnswer: w**(22103\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.425 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 12:16 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 3, p: 2, d: 7}. Give prob of sequence dpr.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/12 + h**3\/6 - 2*h. Let j(u) = 4*u**2 - 2*u - 2. What is j(w) + 2*s(w)?\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 11. Let x be z(-10). Let v(f) be the second derivative of f**4\/6 - f**2\/2 - 4*f. Determine v(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2. Let t(h) = -h + 1. Let z(l) = -10*l + 1. Let k(g) = t(g) - z(g). Calculate k(p(j)).\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.211.\nAnswer: -0.0844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, -12\/46459, 1\/4, 3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2684 + 2839. Calculate the remainder when d is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158244, 3\/5, 2\/19 in increasing order.\nAnswer: 2\/19, 3\/5, 158244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 4. Let k be g(2). Let t be ((-2)\/(-4))\/((-3)\/(-12)). List the prime factors of (-1 + k)\/(t\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 7 + 0 + 2*o + 4*o**2 + 0 in the form y + p*o**2 + c*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*z - 927*z - 384 + 469*z.\nAnswer: z - 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1899, 1966, 2071, 2232, 2467, 2794, 3231?\n\"Answer: 3*g**3 + g**2 + 43*g + 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 120 = 16*r. Sort -1, 1, r, -3, 38 in decreasing order.\nAnswer: 38, 1, -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6965 = -488*m + 2307 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(12\/4)*5. Let q(m) = -133*m - 130*m + 17 + 245*m - 2. List the prime factors of q(z).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*u = 12, 2*g - 2 - 8 = -3*u. Let m(x) = -x**3 + 8*x**2 + 2. Let d be m(8). Suppose 2*c - 6 + d = 0. Solve -c*y + 8 = -g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 546432339.99999921 - 546432421. Let m = f + 81. What is m rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**2 + 44*v**2 + 51*v**2 - 146*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6033, -24249, -54791, -97809, -153453, -221873?\n\"Answer: -25*a**3 - 6013*a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - -3) + 36\/(-14))*(-142714)\/(-39). Is 1568 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317779501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/1134)\/(104\/468).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 19) + 106 + -117\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9424 is divided by 680?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-seven fifths of a hour?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(39)\/sqrt(3) + -2) - (4*sqrt(52) + 5)) + 5.\nAnswer: -13*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545550 is divided by 6629.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 2*q + 5. Let b be f(0). Let c = b + -3. Is (-34748)\/(-36) - c\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 711, 2847, 6395, 11343, 17679, 25391, 34467?\n\"Answer: -2*x**3 + 718*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.1. Let z(x) = x**3 + 15*x**2 + 42*x - 23. Let r be z(-11). What is the nearest to 0.3 in 1\/4, r, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598869013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*b + 41 - 354 - 449 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64503, 129019, 193535, 258051, 322567?\n\"Answer: 64516*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 10, -135, -462, -1031, -1902?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)*(-8 + 14). Let a be (-10)\/(-15) + l\/9. Let p(h) = -2 + 2*h**2 + 0*h**2 + 4*h**a - h**3 + 1. Give p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 62 + 130. Let o be (-4)\/12 + q\/(-12). Does 6 divide 4 + o\/(5\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100580 and 9223400.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*y**5\/3 + 274*y**4\/3 + 52*y**3.\nAnswer: -2*y**3*(y - 13)*(11*y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16587 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 0\/(-2 - -1). Find the second derivative of -q - 14 + 5*y + 20 + 4*y**2 wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 - 7\/3. Let g = -2095 + 2090. Sort -2, g, b in ascending order.\nAnswer: g, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-10 + 18 - 12) - (-12 + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 145182, -49 in ascending order.\nAnswer: -49, -0.3, 145182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38177527 - 38177004.00717. Let z = l - 523. Round z to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1461 - 118. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/24 - y**3\/2 + 2*y**2. Let h(w) = 2*w + 1. Let n(m) = 5*m + 2. Let i(d) = 2*h(d) - n(d). Calculate t(i(u)).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.3 (b) 4 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + (-209)\/(-33))\/(11\/(-6)). Which is the second biggest value? (a) -215 (b) -0.5 (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*g + 7. Let f be (210\/(-245))\/((-2)\/28). Suppose -s + z = -g*s + f, 0 = 5*s - 2*z - 21. Solve r + 12 = 3*n + 1, r - s = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-78498.\nAnswer: -39249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 20172271?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778 = -600*a + 277*a - 1160 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310374 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212763 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 3 (c) -3 (d) 12\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let i(b) = -b. Let q(d) = 4*g(d) - i(d). Suppose -4*f = 3*u + 5, 5*u - 7 = 4*f + 38. Let a(m) = u*m - 5*m - 2*m. Calculate q(a(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*q - 282, 0 = -q - 7*u + 3*u + 148. Suppose 2*r + 516 = 4*c, -39*c + 524 = -35*c + 2*r. Let a = q + c. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1 + 1 + m. Let s(j) be the second derivative of j**3\/6 + j**2\/2 + 8*j. Calculate -i(g) + 2*s(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6862 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -38b?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 770052812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9668 is divided by 3219.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 237*u + 14. What is the units digit of q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1\/(-3) - -12*(-3014)\/(-99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z, 6*p + z = 2*p + 2257. Calculate the remainder when p is divided by 560.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1541 - 1527) + (54 - -1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 2*d**2 - 2*d. Let s(l) = 3*l**3 - 5*l**2 - 5*l. Give -5*b(k) + 2*s(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3356, -3351, -3352, -3365, -3396?\n\"Answer: -r**3 + 3*r**2 + 3*r - 3361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 2*m + 12, -5*h + m + 1 + 17 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) - 22\/10. Let q be (-5 + 5)\/((-4)\/o). Let c = -21\/13 + 79\/65. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 336915385*y**3 + 945141628?\nAnswer: 1010746155*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2377 + 2599. Calculate the least common multiple of 888 and r.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-9945)*70\/(-28)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5130872 from -479605.\nAnswer: -479605.5130872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55949.53029 + 55950. Let k = i - 0.529. Let u = k - -0.059. Round u to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11524, 11291, 10898, 10339, 9608?\n\"Answer: -a**3 - 74*a**2 - 4*a + 11603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 - 161 = -3*j. Let c be ((-2)\/4)\/(1\/8). Let x be c\/j - (-717)\/9. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 0 = 4*v - d*v - 32. What is the least common multiple of (-15)\/(-2)*(-8)\/(-3) and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-5*o + 2*o**2 + 4*o - 3*o**2 + ((3*o - 3*o + o**2)*(4 - 1 - 5) + 863*o**2 - 579*o**2 - 479*o**2 - 6*o - o**2 + 6*o)*(-2 + 2 + 2)).\nAnswer: -397*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5, 3, -12, 0 in increasing order.\nAnswer: -12, 0, 3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 229095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/93 - 323\/4371. Let s = -521 + 521. Is s at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 5349.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -52.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let b(v) = -6*v - 1. Let u(x) = -b(x) - 5*s(x). Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let q = -2 - -5. Find the common denominator of 53\/18 and (-545)\/240 - o\/q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -106. Let v(p) = -2*p**2 + 3*p. Let b(k) = k**3 - k. Give x*b(d) - v(d).\nAnswer: -3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26400028 and 4676.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0\/(-2))\/2. Suppose -v = a, -5*z + 2*z + 147 = -5*v. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 40 = -2*q. Let x = q - -19. Suppose -338 = -6*v - 68. What is the greatest common divisor of x and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 411715 and 38099.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80170.1 nanograms in milligrams?\nAnswer: 0.0801701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*r + 178 - 2306 = 62*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6502*d - 6384*d + 3996 = -1196 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14*z = -7254. List the prime factors of z.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*j + 8 + 1 = 0, 0 = -2*y + 2*j + 16. What are the prime factors of 102 - y*(1 - 0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y + 1 - 5 + 14*y. Let g(l) = -3*l + 5. Determine 3*g(q) + 4*h(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = 3*r. Let q be (-4)\/20 - 31\/r. Suppose 2 = 4*d + q. What is the nearest to -1 in 0.4, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 + 10 = 0. Let d = r + -6. Solve 4*n + 5*a + 14 + 10 = d, n = -4*a - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -895 (base 10) to base 7.\nAnswer: -2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 50 = 4*p, 2*p - 88*r - 37 = -93*r for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 1. Let a(j) = 3*j + 1. Let z be a(1). Suppose 5*g + c = -c - 11, -14 = 2*g + z*c. Determine p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -10, 10, -1\/3, 5 in descending order.\nAnswer: 10, 8, 5, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 239913 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-724)\/3982 - 248\/(-396)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, 0*n - 3*n - x + 26 = 0. Suppose n*c - 13 = 32. Solve 3*k = c*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 20*a**3 - 2*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -130 + 61\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161 + 160.9. What is the smallest value in 0.03, x, 5, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 5*r**2 - 9*r**2 - 3*r**3 + 14*r**2 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -38*d - 4*n, -32*d - n + 783 = -37*d + 777 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(64)\/sqrt(4) + sqrt(16))*-5 + (sqrt(16) - (sqrt(16) + sqrt(144)*4)))*2)\/(sqrt(72) + sqrt(72) + 5*2*sqrt(72) - sqrt(72)*-2*5))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -75*(-12)\/60 - -95*27\/(-180)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, n: 2, p: 2}. What is prob of sequence npe?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2734980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146187887?\nAnswer: 4657, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 5*b. Let n be f(-4). Suppose -3*s - 20 = -n*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 176. Let d be (-4 - p)\/((-5)\/(-10)). Is d greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 938 = 3*r + z, 3*r - 237 = 4*z + 721. Suppose 0 = -9*b + r + 64. What is the units digit of 9090\/b - 12\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g**2 + 2*g)*(2*g - 6*g + g) - 41*g**3 - 110*g**3 + 48*g**3.\nAnswer: -97*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -8, -5, 0, -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1328793 at least as big as -1328542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*o = -120*o + 46. Put -1\/9, -643, 5, o in ascending order.\nAnswer: -643, o, -1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*y = 237*y + 148568. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 28.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 149*q**6\/2 - 23*q**3\/3 + 18*q - 927. What is the third derivative of x(n) wrt n?\nAnswer: 26820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.6. Let y = -0.0223 + 0.0141. Let g = y + 0.1082. What is the closest to -0.3 in 2\/3, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/242 - 691567\/2178. Let g = t - -317. Which is the nearest to -1\/2? (a) -3 (b) g (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 5*m. Suppose -15 = -4*y + 3*y. Let o = -2 + y. What is the remainder when x(-9) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4\/(-6) - (-188)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = -8. Suppose 0 = g - 3*q - 23 - 16, 149 = z*g - 5*q. Let a be 4\/6*g\/6. Solve -a = -0*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 324.3422 tonnes?\nAnswer: 324342200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2*u**3 + 3*u**3)*(5*u**2 + 3*u**2 - 3*u**2) + 4*u**5 - u**5 - u**5 + (-u**2 + 0*u**2 - u**2)*(-7*u**3 + 40*u**2 - 40*u**2).\nAnswer: 26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300765031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 + 24245?\nAnswer: 24174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-16) + (360\/432)\/((-2)\/(-3)). Solve -u = -3*h - 5*t + 34, 0 = -3*t + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 7 - (-6 + 35 + -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1002 + 11503 - 14006 - 11472 - 14277 - 3046)*(0 - i**3 + 0) to x + k*i**2 + a*i**3 + u*i and give a.\nAnswer: 32300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*0*(-6)\/12. Suppose b = i + 6*i - 7. Which is smaller: i or -1\/461?\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/2 - 113*j**2\/2 + 705*j\/2 - 1071\/2 = 0.\nAnswer: -119, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) -0.18 (d) -1\/2 (e) 1\/6 (f) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 826093088*z - 42651861877585984.\nAnswer: -4*(z - 103261636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 2. Suppose 96 = -0*f + 4*f. Suppose -f = -n - 3*n. Suppose 4*y = n + 10. Give i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 1 - 6*d + d. Suppose -4*y = 4*p - 16, 0 = 2*p - p - 1. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 49 + 13 + 32, -7*a - 48 = 2*o for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 4. Let f be t(2). Suppose -3*m + 4*m = f. Suppose 0 = -4*v - 12, -2*s + m = -4*v - 12. Solve n + s = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*w**2 - 12*w - 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((-252)\/(-90))\/(60\/(-75)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 1353, 4512, 10643, 20736, 35781, 56768?\nAnswer: 84687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 + p + 142. Let k be m(0). Suppose 3*o - 176 - k = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7)\/((-1)\/(-7 - (-4347)\/594))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/11 + 26*d**4\/11 + 64*d**3\/11 + 40*d**2\/11 = 0. What is d?\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:21 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1212, 1214, 1216, 1218, 1220?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 5*d - x, 2*x = 8995*d - 8997*d - 34 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78055867 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 f when three letters picked without replacement from fajjf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g - 6 + 6 in the form u*g + z and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-193)\/(-117) - 4\/4. Let g be -2 - ((-1392)\/351)\/2. Let y = g - l. What is the nearest to y in -1, -5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/4)*w)\/(w**(-7\/3)\/w*w*w) assuming w is positive.\nAnswer: w**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199744 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051354643.\nAnswer: 1051354643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5*(-19 + 24). Are 2\/313 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -35, 0, -3\/5, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jetojjjooojeej. Give prob of picking 2 o and 2 j.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)*m*m*m*m\/m**(-8\/5))\/((m*m\/((m\/m**(-1\/4))\/m)*m)\/m)**(2\/127) assuming m is positive.\nAnswer: m**(30213\/5080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 54 = 0. Let p be ((-16)\/(-12))\/((-4)\/6). Is m + p\/4*-2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44900.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 1, w: 9, k: 5, u: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - l + 16, 0*z + 28 = 3*z - 4*l. Suppose z = 2*r - r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 = -45. Let c be (-250)\/6 + 4\/(-12). Let u be (-1)\/(-3) - c\/9. Solve p*j + 10 = 4*w + 2, u*w + 4 = -2*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 37 + 9 = 0. Suppose -24 = -2*i + 4*t, -m*t = 4*i - 0*t + 12. What is the closest to -1 in 11, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1739*o**5 - 8*o**4 - o**3 - 975207*o**2.\nAnswer: -104340*o**2 - 192*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/8 - 11*a**4 - 1011*a**3\/4 - 473*a**2 - 1849*a\/8 = 0. Calculate a.\nAnswer: -43, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12 = -5*s - 10, -s - 17 = 5*j. Let n = -212 + 217. Let p be (-630)\/(-150) + 4\/n. Which is the third biggest value? (a) -0.1 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103918890 - -24799?\nAnswer: 103943689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12941378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 447. What are the prime factors of r?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 - 11.87. Let b = -14 - c. Let u be ((7 - 4) + -2)*(-4)\/8. What is the third smallest value in b, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -686 - -745. Is (h - 21)*((-19)\/(-2) - 0) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 8 = 0. Solve t*l + 23 = -5*d, l - 3*d = -0*l + 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 - 8*f - 7. Let l be -5*((-10)\/20)\/(2\/(-4)). What is m(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/36 and -61\/94812.\nAnswer: 284436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let h be 1\/(-3) + (-21)\/(-9). Let x be 3\/h*(-50)\/(-15). What is the nearest to 0.1 in -1\/2, x, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + 727. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1045 = 5*j, 4*j + i - 466 = 361. Let r = -13 + 23. Suppose -j + r = -4*n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -28. Suppose 2*p = -2*r + 18, -3 = -4*p + j. Calculate the least common multiple of 9 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 209070452 + -5?\nAnswer: 209070447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 21*j - 10. Suppose -2*q = -4*y + 66, -q - 12 = -y - 5*q. Suppose -y*l + 18*l - 12 = 0. What is the remainder when g(-9) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 110*y**3\/7 + 228*y**2\/7 + 18*y + 8\/7 = 0.\nAnswer: -1, -4\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(66)*-3 - sqrt(66))*4)\/(1*sqrt(12)\/(sqrt(2)*2*-5)) + 1.\nAnswer: -2880*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692219 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3999 - 0.0999. Which is greater: g or -0.146?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -474)\/(-40) + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -0.3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 130539 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(19)*-5)**2 + sqrt(19) + sqrt(228)\/(sqrt(72)\/sqrt(6)) - (5 + sqrt(304) - (sqrt(19) - sqrt(19)*-2)*2)) + -1.\nAnswer: 4*sqrt(19) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -283ffa (base 16) to base 7.\nAnswer: -31264301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*g + 2. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 4:21 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**6\/120 - s**5\/80 - s**4\/48 + s**3\/24 + 4*s. Factor a(d).\nAnswer: d*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314352 = 4*g + 5*o + 111832, -151852 = -3*g + o. List the prime factors of g.\nAnswer: 2, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.12 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4954 + 5136. Calculate the greatest common divisor of q and 4459.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(2) + 5 - 3*((-2 + sqrt(48))**2 - sqrt(48)).\nAnswer: -151 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71330*l**2*v**3*x - 66*l**2*v**2*x + 19*l*x + 396*v**3*x + 85*v wrt l.\nAnswer: 142660*v**3*x - 132*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86131.\nAnswer: 86131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185153 rounded to the nearest 1000?\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Suppose -3*i + 2*i + 41 = g. Factor 5*z + 4*z - 10*z**3 - 8 - i*z - 34*z**2.\nAnswer: -2*(z + 1)*(z + 2)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 5, i: 2, a: 2, b: 6, p: 1, e: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94.05 - 94.0498017. What is z rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cstc when four letters picked without replacement from ctscscgccctcc?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702172289 is divided by 785.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 26, -3\/5 in ascending order.\nAnswer: -3\/5, -1\/11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00823342 to five dps.\nAnswer: 0.00823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 11. What is y(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - h - 20)*(-17 + 5 - 135).\nAnswer: 147*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**2\/2 - 92*x + 120. Let n be g(19). Let u(v) = v. Let w be u(4). Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*-1*((-18)\/9)\/4*-10\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 2*y - 42, 4*f = -y + 87. Let p = -261 - -4954\/19. What is the common denominator of f and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 81*g**5\/8 + 10773*g**4\/4 + 32049*g**3\/4 + 12441*g**2\/2 + 14997*g\/8 + 789\/4 = 0?\nAnswer: -263, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -155*r**2 - 45*r. Let k(q) = -7*q**2 - 2*q. Let h(w) = -45*k(w) + 2*m(w). Let s(v) = -2*v. Determine h(s(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 7*a**2 + 2. Let t(w) be the third derivative of -w**6\/60 - w**5\/10 + w**3\/3 + 3*w**2. Give -5*l(b) + 6*t(b).\nAnswer: -2*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 36*t + 155. Let r be w(31). Solve -4*b + b + 2*b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 2 - (-67 + 2). Suppose -5*w = -q + 7. Solve -i - 2*i + w = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82499.9 litres to millilitres.\nAnswer: 82499900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1216991, -1216973, -1216935, -1216871, -1216775, -1216641, -1216463, -1216235?\n\"Answer: i**3 + 4*i**2 - i - 1216995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 70*y - 733. Calculate the remainder when p(-10) is divided by 120.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170678297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 18*a + 88. Let s be m(7). Let i = 2 - 1. Let q(x) = 87*x**2 + x. Let z be q(i). Calculate the greatest common divisor of z and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(847) + -4 + -2 + (sqrt(847) + sqrt(847)*2)*-4 + -1*sqrt(847) + -4)**2.\nAnswer: 3432*sqrt(7) + 122137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.4 <= 214\/1787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 - 12*h**2 + 36*h - 20 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okko when four letters picked without replacement from kkkkokkkkkkkoko.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1914*t - 53007*t**2 + 53005*t**2 + 0 + 0 as b*t**2 + c*t + x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 2*z + 0*z)*(-70 + 196 - 1126*z - 65 - 61) to the form r*z + n + f*z**2 and give f.\nAnswer: 2252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 438 (base 9) to base 2\nAnswer: 101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 964 = -77*h - 650, 4*h - 24 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18904 or -18903?\nAnswer: -18904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -6\/337, 0.5, 0.03, 1\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(-5 + ((-3*sqrt(12))\/sqrt(6))**2 - ((sqrt(2) + -2 + sqrt(2))*4 + sqrt(2) + (-2*sqrt(288) + sqrt(288) - sqrt(288)))).\nAnswer: 105 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*w, 2*v = w - 4 + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*p**5 - 20*c*p**4 - 22*c - 8*p**2 + 8*p wrt p?\nAnswer: -100*c*p**3 - 240*c*p**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 2*y - y. Let m be y\/32 - 3\/2. Suppose -m*k = -663 - 0. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1*sqrt(70) + sqrt(70)) - sqrt(70))\/sqrt(10))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10\/y)**20\/(y*y*y\/((y*y**(-6))\/y)*y*y)**(5\/2) assuming y is positive.\nAnswer: y**(305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 6\/(-4))*-1. Let j = -450 + 5395\/12. Let i = 1\/12 + j. What is the second smallest value in 2, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 + 4*n + 1. Let b be u(6). Let o(a) = -4*a - 11. Is o(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -636.4587 + -1.\nAnswer: -637.4587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -613 - -611. What is the closest to -4 in -2.9, 4, z?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + 6 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 590*q**2 + 8*q - 32. Let f be a(3). Suppose -151 = -w - 2*j + 1618, -3*w + f = 5*j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 704928875 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -318363858 divided by -178\nAnswer: 1788561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1608.307mg?\nAnswer: 0.000001608307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31344 = -543*l - 804*l + 88539 for l.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -1262 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -1063, -2329, -4111, -6415, -9247, -12613?\nAnswer: -16519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + 3*v**3 - 4*v**3 - 2 + 2*v + v**4 in the form q*v**4 + d*v**2 + x + n*v + j*v**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0)\/((-18)\/(-747)). Let g = m + -80. Solve g*v - 4 = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2374 + -1992. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.02 * -0.4.\nAnswer: 2.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3261683 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3563, -3305, -3081, -2909, -2807, -2793?\n\"Answer: -3*s**3 + s**2 + 276*s - 3837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9903838*l**2 - 9904047*l**2 + 19807882*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180 + -6986?\nAnswer: -7166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d - 5. Let u be (-17)\/(-5) - (-10)\/(-25). Let q(x) = -4*x - 4. What is u*n(c) - 4*q(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39651274 is divided by 65.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 - -156. Let f = -177 - k. Put f, -0.5, 3 in decreasing order.\nAnswer: 3, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3204*l - 856*l - 1900*l + 2296*l - 1 - 3721*l)*(0 + 0 + 2*l) in the form w + o*l + h*l**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 + 2*y - 16. Let h be g(9). Differentiate -43*p**h - 7 - 4 - 3 + 51*p**2 with respect to p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10296)\/676)\/(-22)*4\/(-18).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1445 (b) -5 (c) 10 (d) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:26 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-7) + -1 + (-424)\/(-56). Let u be p\/21*(30 + -3). Solve -8*l = -u*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*l = 688 - 99, -w - l + 118 = 0. Let h = w - 98. Let m(y) = 8*y + 33. What is the tens digit of m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**6\/36 + y**5\/120 + 49*y**3\/2 + 17*y. Let z(o) be the second derivative of t(o). Give z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + 12043?\nAnswer: 12206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 6*u**2 - 4*u - 3. Let b be v(3). Suppose 4*m + z + 0*z = 206, -204 = -4*m - 2*z. What is the greatest common divisor of m and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1558344 (base 9) to base 7.\nAnswer: 10233430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44264345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 4*f**6\/15 - 5*f**3\/6 + 3*f. What is the second derivative of o(q) wrt q?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**4 + 13*s**3 + 7*s - 2 wrt s.\nAnswer: -48*s**2 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/((-146)\/438)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-9 + 9 - 40*p)*(-3*p + 3*p + p).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((-3*(sqrt(1539) + -1) - (0 + sqrt(1539))*-6) + 2)*-5)**2 + 0)*5.\nAnswer: 303750*sqrt(19) + 15610500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*w + 24, -6*w = -2*w + 12. Let r(y) = -y**3 + 11*y**2 - 8*y - 18. Does 12 divide r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11963679.4 rounded to the nearest 100000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*u + 17070 = 267*u. Is 156 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**4\/3 + 125*u**3\/6 + 5*u**2 - 320*u\/3 - 80\/3 = 0.\nAnswer: -4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*8\/(-12) + (-132)\/9. Let u = t - -26. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.33. Let f = 379 - 377.03. Let l = w + f. Which is the nearest to -1\/3? (a) 1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17775 and 196947?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 14) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1026*u + 22832. Calculate r(21).\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*d = 25, 0 = -t - 3*d + 3 + 4. Let m(u) = -u**3 + 6*u**2 + 6*u - 4. Let o be m(t). List the prime factors of (o\/(-16))\/(1\/(-16)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -420, -627, -832, -1035, -1236, -1435?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 16 + 96 + -1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 147 = -5*y - 22, 4*b - 4*y = 140. What is the least common multiple of 435 and b?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*j + 3*p, -2*j + 31 - 7 = -5*p. Solve 4*u - 32 = 4*g - 8, -4*u + j = -g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 646*b**2. Let v(j) = -173*j. Calculate v(i(f)).\nAnswer: -111758*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17552666 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*x + 25 = 0, -4*w - 4*x - 19 = -71. Solve 11*f - w*f + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 13 - 3*p**3 + 1121*p + 4*p**3 + p**3 - 7 as v*p**3 + u*p**2 + a + c*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2273.72 and -2938.\nAnswer: -664.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 2}. What is prob of picking 1 a and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 1639360 = -20*o + 3*o. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 42. Let o(x) be the first derivative of -x**3\/3 + 2*x**2 + 3*x + 2. Let m be o(4). Calculate the greatest common divisor of m and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = k - 16, 4*x + 27 = -2*k + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1719 and 67\/54?\nAnswer: 10314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t**(1\/4)\/t*(t**(-1\/8)\/t)\/((t**1*t)\/t))**(1\/11) assuming t is positive.\nAnswer: t**(-223\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 93423*o\/5 + 1362910.\nAnswer: (o - 93350)*(o - 73)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = c + 2*z, -4*z = 4*c - 3*z - 40. Suppose -5*j + c + 21 = 0. Solve -j*d - 5 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svv when three letters picked without replacement from visqxvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 19*p**2 + 6*p + 4. Let v be b(-19). Let m = v + 112. Let o be 56\/(-6)*(1 - (m + 2)). Calculate the highest common divisor of o and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(114)\/sqrt(6)*-4 - (sqrt(304)*-2 - (-4 + sqrt(304))).\nAnswer: -6 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8 - 5*z - 6 - 37. Let c be b(-7). Solve c + 4\/3*u + 4\/3*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/6 - (-1 + -2). Suppose r = 2*l + 3*l. Solve -1 = p + 2*u, 4*p + u + l*u = -11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22486138?\nAnswer: 2, 17, 67, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*q = -121*q + 14. Find the second derivative of -51*l**q - 59*l**3 - 7*l - 16*l**3 + 77*l**3 wrt l.\nAnswer: 12*l - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 - 205366*n + 410724 = 0. What is n?\nAnswer: 2, 102681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93926.37 litres?\nAnswer: 93926370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 292 = 7*x. Let c(k) = -k**2 - 25*k + 61. Let t be c(-22). Suppose -5*j + x = -t. Calculate the least common multiple of 6 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2023705 and 3.\nAnswer: -2023702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*v = 92724, -4*v - 24690 = -2*m + 68052. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t. Let b(q) = -q**2 - 575484*q - 2. Determine m(b(v)).\nAnswer: -6*v**2 - 3452904*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**3*d))**(-3\/8))**(2\/17)*d**(-1\/3)\/(d*d\/d**(-2\/11)*d)*(d*(d\/((d\/d**(-3\/8))\/d*d))\/d)\/(d\/(d*(d*d\/d**(-2\/3))\/d)) assuming d is positive.\nAnswer: d**(-9583\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5283 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:47 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/9 - 26450*h**2\/3 - 17633*h - 79348\/9.\nAnswer: -(h + 1)**2*(h + 79348)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5 + -4) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3*(-17)\/(-1071)*7.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**(2\/15)\/j)*j*j)**(15\/4)*(j**(-4\/5)*j)**(-29))**(-47) assuming j is positive.\nAnswer: j**(-3807\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*l - 9200 = 4*n + 278*l, 0 = 4*l. Round n to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 0. Let n = 51 - g. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**23\/(m*m\/m**(2\/5))**(8\/9) assuming m is positive.\nAnswer: m**(-1099\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -30. Let v(k) = -42*k + 2. Calculate the remainder when v(-2) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-396*t + 172*t - 444*t)*(2*t - 6*t + 2*t).\nAnswer: 1336*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kjzmsggj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkzkzkkzzzk. Give prob of sequence kk.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (1*sqrt(539) + sqrt(539)))*-2 + -4*sqrt(539)*-2 + sqrt(539) + (1 + -4*sqrt(539)*-2)*2)**2.\nAnswer: 756*sqrt(11) + 392935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6671696t?\nAnswer: 667.1696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2 (c) -1 (d) 0.7 (e) 226 (f) 50\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204 or 2668\/13?\nAnswer: 2668\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/3 - 12760*v**3\/3 + 10163332*v**2\/3 + 6788320*v + 3396288.\nAnswer: 4*(v - 1596)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*z - 9529 + 9389 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -9*m**4 + 4461*m**3 + 33183*m**2 + 7587*m - 21126 = 0.\nAnswer: -7, -1, 2\/3, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -50*g**2 + 0 + 0*g**4 + 43\/6*g**3 - 1\/10*g**5 + 38*g. What is the derivative of r(u) wrt u?\nAnswer: -6*u**2 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 plus -40144082?\nAnswer: -40144220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 15\/(-10)*4\/3. Let f(t) be the first derivative of 1\/2*t**2 + 1\/3*t**3 - 1 + j*t. Factor f(a).\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5*s + 3*d**5 + 235*d**3 + 4*d*s - 286*s wrt d?\nAnswer: 20*d**3*s + 60*d**3 + 1410*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45212 and 40132.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141458 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 31*x**2 + 3*x + 56. Is 42 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 35 = 5*t. Suppose h + 0*h = -m - 1, 0 = 5*h - t*m + 26. Is 2208\/36 + h\/3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9824625 minus 208.8?\nAnswer: -9824833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggxgwwnngsswgngrgr. Give prob of picking 2 s.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143169.39 nanoseconds in days?\nAnswer: 0.000000001657053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*k + 93*k. Solve -6*y - 3*y + 9 = k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 2. Let i(j) = 6*j - 4. Calculate 3*i(q) + 7*k(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 2, d: 2, x: 4}. Give prob of sequence nhnd.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3549569316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1670 divide 394826899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392878, 392124, 391372, 390622, 389874?\nAnswer: 389128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 9*a**5\/20 - a**3\/6 - a. Let h(n) = 2*n**3 - 4*n**2 - n + 1. Calculate the lowest common multiple of h(3) and i(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*u**3 - 4*u**2 - 35*u - 3 wrt u?\nAnswer: -126*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72463169609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -588 - -1077. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 9:14 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 3*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*z**4 + 2288*z**3 + 276540*z**2 + 621184*z + 154960 = 0. What is z?\nAnswer: -65, -2, -2\/7, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5486706 is divided by 46497?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c. Suppose 2*r - 6 - 4 = c. Suppose 59 = 4*y - r*w, y + w = -4*y + 52. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 5745 = -5*f, 4*f + 5*c = 4598. Let y = f + -560. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let r = -57 - -63. Let c(q) = 2*q**2 - r*q**2 + 16 - 2*q**2 - 9. What is c(l(k))?\nAnswer: -6*k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -32 + 35 - (-21 + -6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 50414, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 3*(45\/(-75) - 272\/5). Solve -g = a - 170 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 41 (b) 2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - c + 11 = 3*l, -2*l + 3*c = -1. Suppose -7*w = -3*w - 12. Suppose w*a + 8 = 7*a. Solve -3*j + 9 = 4*v, -4*v + a*v - 4*j = -l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/380940 and 27\/2540.\nAnswer: 48379380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 43*l + 182. Let d(h) = h**3 + 15*h**2 - 21*h - 67. Let f be d(-16). Is 15 a factor of a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48421 divided by 1\nAnswer: 48421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 188. Suppose 2*v + 0*v + 4*n - 70 = 0, -5*v - 3*n = -p. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 32*z**2 - 4 - 18*z**2 + 4*z - 13*z**2. Let y be d(-5). Solve -y = -2*k + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 13*b**2 - 34*b - 30. Let h be y(-10). What is the highest common factor of h and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 580 + -578. Differentiate -1419*i**d - 284 + 1416*i**2 + 0*i + 0*i - 13*i**4 wrt i.\nAnswer: -52*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145629 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.3, -4, 18 in descending order.\nAnswer: 18, -0.3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = -6*x. Let h(k) = 24*k + x*k - 12*k. Let q(n) = -2*n + 2. Let d(y) = -2*y + 3. Let f(p) = 2*d(p) - 3*q(p). Give h(f(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - 49. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270154, 540318, 810482?\nAnswer: 1080646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/20*(-12 + 4 + 3)\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 2*n**2 + n - 3. Let u be v(-3). Let p be 26\/14 - u\/(-21)*1. Put p, -19, -1 in ascending order.\nAnswer: -19, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 8.4. Let g = s - -11. Let x = g + 3. What is the second smallest value in 0, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -22?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b46 (base 14) in base 8?\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14309 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 1454032?\nAnswer: 1454021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 7*z + 2. Let q be h(7). What are the prime factors of 80\/36 + q\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 14 - 12 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35611 + 51701. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/25)\/(20\/(-25))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7568873.\nAnswer: 13, 582221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3 - 1133*p - 5 + 0 - 6*p**3 + 1132*p - 12*p**2 + 5*p**3. What is g(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*v + 16, -30*g = -33*g + v + 8. Solve -19 = g*l - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26354048729 plus 0.0974?\nAnswer: 26354048729.0974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13195, -13199, -13225, -13285, -13391, -13555, -13789?\n\"Answer: -2*b**3 + b**2 + 7*b - 13201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**2 - 397*s - 122. Determine x(40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2969411 divided by 29.\nAnswer: 2969411\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -16. Let p = c - -20. Suppose 1 = -3*l + p. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1885.073 - -1894. What is q rounded to one decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -10*d**7\/7 + 31*d**3\/3 + 18. What is the third derivative of u(x) wrt x?\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -531?\nAnswer: 530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5007, 5577, 6147?\nAnswer: 6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -132 - -77478\nAnswer: 77346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11388 and 198657966.\nAnswer: 5694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 314*g = 278*g - 15157 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 47*x**2 - 67*x + 22. Let k be y(22). Suppose -5*z = 3*i - 47 - 10, -4*i - 20 = -4*z. List the prime factors of 48\/z*(k - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17568419*f**2 - 37437*f + 14 wrt f?\nAnswer: 35136838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*y - 1. Calculate the common denominator of 13\/12 and (-4692)\/(-1944) - (0 - 3\/y).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12*12\/2)\/((-2)\/(-3)). Calculate the highest common divisor of 918 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4685 and 22.\nAnswer: 103070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 34 + 226. Find the common denominator of 11\/12 and -1*163\/(-20) + 16\/k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - 116. Find the third derivative of 8*b**2 - 2*b**4 + 6*b**4 + 45*b**r - 4*b**5 wrt b.\nAnswer: -240*b**2 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -12 (b) -0.39 (c) -2\/3 (d) -8.4 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -449, -1 in decreasing order.\nAnswer: -1, -4, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:24 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d**2 + 3*d + 8. Let a(s) = -s**2 + s. Let h(c) = 5*a(c) + n(c). Let p(y) = 244582305*y - 244582302*y - 2 + 5 + 5*y**2. Calculate 3*h(q) - 8*p(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 848, -15 in decreasing order.\nAnswer: 848, 0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -0.19, -2\/3, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1312 = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c2 - -83?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605) + 4)**2 + 2 - sqrt(605).\nAnswer: 165*sqrt(5) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 686 = q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.061974 and -720.\nAnswer: 44.62128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i - 2. Give y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:48 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1798 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -506*m**3 + 509*m**3 + 14*m + 2*m**2 + 0*m**2 + (m**2 + m**2 - m**2)*(3*m + 0*m - 2*m) + 1 - 1 + 2*m**3.\nAnswer: 6*m**3 + 2*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 847 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g**3\/3 + 7*g**2\/2 + 11*g - 1. Let f(s) = -20*s**2 - 20*s - 32. Let p(t) = -6*f(t) - 17*y(t). Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6108502243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21286 and 29?\nAnswer: 21286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1041*b + 1. Let n(k) = -5*k + 4. Calculate n(j) - s(j).\nAnswer: -1046*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.1 - 20.022. Let l = -0.202 - a. Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -40949\nAnswer: -1\/40949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 c when three letters picked without replacement from oovodcsogsccgd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10886, 21778, 32670, 43562?\nAnswer: 54454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*n - 23993 - 16756 = 2726*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 48151992 = 4*v, -g = 5*v - 33121456 - 27068546. Round v to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 3. Suppose 0*z + 17 = 5*q + 2*z, -q + 2*z + 13 = 0. Sort 4, q, h in decreasing order.\nAnswer: q, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*j + 39, g - 3*j - 45 = -3*g. Suppose g*z = 50 + 526. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004230162027 rounded to six dps?\nAnswer: 0.00423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -836\/17? (a) -15 (b) -3 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8059860 divided by 30?\nAnswer: -268662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5245 - -5250. Let l = -126 + 288. What is the biggest value in l, -3, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7027, -7077, -7139, -7213, -7299?\n\"Answer: -6*b**2 - 32*b - 6989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 18272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(63)*-2*-4)\/sqrt(9) - sqrt(196)\/sqrt(7)*-6).\nAnswer: 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681659.\nAnswer: 11, 31, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -13357?\nAnswer: 13352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 1545?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 18720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/(q*q**39)*(q\/(q*q**(10\/13)))**(-13) assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.82312 rounded to two dps?\nAnswer: 4.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/120 - 4*g**3\/3 + 11*g. Let z(c) be the second derivative of t(c). Let r(i) = 19*i. Calculate r(z(h)).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/80 and (72\/33)\/12 - (-216)\/(-220)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6566103ml to litres.\nAnswer: 0.0006566103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23850779 - -152533.\nAnswer: -23698246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264 - 263. Let t = 2.1 + 0.4. Is q at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7591995, 30367987, 68327979, 121471977, 189799987, 273312015, 372008067, 485888149?\n\"Answer: f**3 + 7591994*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asasssxasxxssasx. What is prob of sequence aaas?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 0.5 (b) 2\/9 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70742674.\nAnswer: 2, 433, 81689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1086361556 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 20 + 45 + (6 - 3 - 1)*(5 - 1 - 3))*(-3*y + 3*y + y)*(0 - 1 - 8)*(10*y**2 - 7*y**2 + 3*y**2).\nAnswer: -3510*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/17959821 and -119\/3265422.\nAnswer: 35919642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 0.4. Let y = 2510\/19 - 132. What is the nearest to a in y, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 0.04, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xicivxiiqzixqqz. Give prob of picking 1 q, 1 x, and 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32\/5 of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2700889519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 47 - (-1 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70\/4)\/(-7)*2. What is the units digit of (46\/10)\/((-1)\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Which is the second biggest value? (a) -0.4 (b) -5 (c) -0.3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i + 0 + 0*i**4 + i**2 + 0*i**3 - 1\/360*i**6 + 1\/180*i**5. Let c(s) be the first derivative of h(s). Factor c(u).\nAnswer: -u**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 11) to base 13.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115287771.\nAnswer: 7, 1847, 318299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 14*a**2 - a + 12. Let n be l(14). What are the prime factors of n + (-3 - -64 - 2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 18000 = -14*j. What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9651 + -9652. Which is the third biggest value? (a) -2\/7 (b) -9\/50 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -60, -91, -144, -225?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/5))\/a)\/a)\/(a\/a**(-3\/5))*(a\/(a\/(a\/(a**(-2\/5)\/a)*a))*a)**(-1\/5) assuming a is positive.\nAnswer: a**(-92\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 6. Let y be c(5). Suppose y*r - 8 = g, 2 = 5*g + 4*r - 30. What is the lowest common multiple of 5 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.6, -1\/4, 2\/13 in decreasing order.\nAnswer: 9.6, 2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose m = -5*n - 2*y + 2, 5*n = 4*y + 19 + 7. Suppose -n*q + 3 = -1. Solve q*f = -4*x + 20, 3*f + x + 3*x = 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 882*a**2\/5 + 5124*a\/5 + 7442\/5.\nAnswer: 2*(21*a + 61)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14677 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1087 = 4*k, -2*k - 2*k = 3*w - 1077. Suppose -4*x - k = -1085. What is the greatest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + 3.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:13 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 3*t**2 + t**2 - 8*t**2 - 4*t**2 + 3*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w + 7. Let t be a(5). Suppose -59 = -q + 3*b, -b - 4*b = 5*q - 355. What is the highest common divisor of q and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(35\/14*2\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = -9. Let q be (a\/(-18))\/(2\/(-12)). Suppose -1\/3*s**4 + 1\/3 + q*s + 0*s**2 - 2\/3*s**3 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -66. Suppose -21*n - 183 = 27. Calculate the lowest common multiple of n\/60 - 57\/(-18) and z.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5338.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. Let h = -470 + 480. Calculate the least common multiple of n and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37875 and 425715.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-316*t**4 - 314*t**4 + 628*t**4 - 2*t**5)*(1 + 0 - 5).\nAnswer: 8*t**5 + 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 47*x + 434. What is i(-55)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*b**6 + 8*b**3 - 6247*b**2 wrt b.\nAnswer: 17880*b**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-864)\/960*3*(-2)\/9. Let j = -1.03 + 1.1. Which is the biggest value? (a) j (b) -0.5 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-17)))\/(k\/k**(-5\/6)) assuming k is positive.\nAnswer: k**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111493561 is divided by 69.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55000301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -185, -396, -645, -938, -1281, -1680, -2141, -2670?\n\"Answer: -d**3 - 13*d**2 - 165*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - r + 2*r. Let v be (-21)\/(-9) + 4\/(-36)*3. Let k(f) = -6*f**2 + 13*f**2 - 4*f**v. Give k(g(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4257c0 (base 14) to base 16.\nAnswer: -223b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125.9999931 + 126. What is n rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 1. Let b be (1\/3)\/(6\/72). Suppose 0 = -y + 2*j + 5 + 1, 4*y = -j + 24. What is the remainder when s(b) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/8)\/5*-4. Let r = 21 - o. What is the remainder when 34 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = n + 34 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l + 61. What is q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222132 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537465?\nAnswer: 5, 43, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 148190?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + 0 - (5 - 14 - 17)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/286, -4, 1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141047 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 59*m**2 + 10*m - 20. Let t be o(3). What is z in 157*z**2 + 92*z + 642*z - 1445 + t*z + 8*z**2 + 6*z**3 - z**3 = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264813*p**2 + 43*p*w**3 + 5925798*w**3 wrt p?\nAnswer: 529626*p + 43*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -0.1.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 615293158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2612)\/(-8)*(-1 + -1). Let h = -691 + 4135\/6. Find the common denominator of h and (-4)\/(-14) + j\/56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10284.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/(6\/30). Let i be ((-6)\/l)\/((-3)\/(-4)). Let n = 49 - 37. Solve n = -4*k - i*q, -21 = 5*k - 4*k - 4*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + -b?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 8*m = -18*m + 468. What is the remainder when m is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9381 + -9375. Solve 0 = -5*a + r - m, 3*a = 4*a + r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 515*n\/3 - 3556\/3.\nAnswer: -(n - 508)*(n - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3670461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.6542mg to grams.\nAnswer: 0.0146542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 5169\/10, 2\/9, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -s + t + 28, 5*s + 4*t - 138 = 0. Suppose 5*j - 2*w = 15, 2*w - 4 = -4*j + s. Suppose -95 = -j*d + 70. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 2, y: 1, o: 1, i: 2}. Give prob of sequence jjiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b. Let a(n) = -10*n. Let k(r) = 14*r. Suppose -2*h + 32 - 40 = 0. Let f(j) = h*a(j) - 3*k(j). What is t(f(g))?\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52993*c - h + 50 = 52989*c, -5*c - 57 = -4*h for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 527 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-10)\/(-35)*105\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6221 greater than or equal to 8466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rgrrrrrrdrddrrr.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 2:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3863*y**3 + 83105 - 83105)*(-2 - 2 + 1 - 2 + 3 - 2 + (5 + 0 - 3)*(1 + 4 - 4)).\nAnswer: -7726*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:39 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 20458884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14686 - 12341 = 35*a for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 6*p + 9*p + 94*p**2 - 1128 + 1126 - 4*p**4 - 4*p**4 to v*p**4 + h*p**3 + x + u*p + d*p**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57589411343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -5. Let t = c + 6.08. Let w = 5.08 - t. What is the smallest value in 2\/5, -2\/17, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 539, -5, -23, 0.7, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/13)*n**(-6)\/n)\/((n*n\/((n**0\/n)\/n))\/n**(-2\/23)))**(-23) assuming n is positive.\nAnswer: n**(3062\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 804, 1206, 1608, 2010?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(-4*l - 2*l + 4*l) + 3*l + 13 - 13)*(-2 + 2 - 1).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -20, -29, -40?\n\"Answer: -c**2 - 4*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112808, -109410, -106012, -102614, -99216, -95818?\nAnswer: -92420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8878 + -206.4778. Let s = -203 - d. Let f = 1.49 - s. What is f rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/176)\/(-9*(-5)\/90).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 124\/12 + (6\/3)\/(-6). Suppose 22 = d*k - 88. Suppose -k*z = -15*z + 48. Calculate the highest common divisor of z and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v - 111. Let p be u(6). Suppose -4*g = -p*r + 40, 3*r + 3*g = -r + 70. What is the highest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, -5780, 3, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 489389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23142576 and 10112?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 763 + -10751\/14. Calculate the common denominator of q and 27\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -622*u + 46467. Give x(75).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4))\/sqrt(2) - (2*sqrt(228))\/sqrt(12).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**26*((k*(k*(((k\/(k**(-4)\/k*k))\/k)\/k)\/k)\/k)\/k)\/k*(k\/(k**(2\/3)\/k))\/k*(k\/k**(-1))**(2\/3)\/(k*k**(2\/3)*k*k**(-3\/7)) assuming k is positive.\nAnswer: k**(185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 16 = 3*d. Suppose -s + d = s. Calculate the greatest common divisor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 + 31*f**3\/2 + 59*f**2\/2 + 29*f\/2 = 0 for f.\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -g, -i = -5*i + 3*g + 8. Let j(t) = 8*t + 11. Let p be j(5). Let d = -44 + p. Solve -m = -6*m + 10, -i*q - 4*m = d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8003 - 6203. What is the least common multiple of j and 8?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -63325.\nAnswer: -63325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 12*a - 13*a - 19, 15*a - 18*a + 33 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434443202 (base 5) to base 10.\nAnswer: 1874802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-4))\/(219\/2336). What is the highest common factor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d**(1\/4)*d)\/(d\/d**(2\/11)*d**0) assuming d is positive.\nAnswer: d**(327\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*p**2*u**3 - p**2*u - 5777*p*u**3 + 5620732*u**3 wrt p.\nAnswer: -42*p*u**3 - 2*p*u - 5777*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Let k = 47 + -45. Suppose -v = q + 3*a, 7*q - k*q - 2 = a. Solve -4*l = -j + 1 - q, -4*j = 2*l - 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13695264 and 224.\nAnswer: 95866848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2252527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 97 = 4*v. Calculate the remainder when 89 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + 310*o**2 - 483*o + 2053. Calculate p(76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 122\/5. Let j = 0.2 + -0.3. Let g = -1.1 - j. Put g, 2\/7, a in decreasing order.\nAnswer: a, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1927*g = 1922*g - 15, 2*f = -3*g - 12. Factor 9\/4*i + 0 + 3\/2*i**2 - 3\/4*i**f.\nAnswer: -3*i*(i - 3)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.2899 months in centuries?\nAnswer: 0.23190825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 2 + 2 - 5*i**2 + 11 + 30 to the form l + x*i + k*i**2 and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507466 to the power of 1\/2, to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:09 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70960, -283847, -638658, -1135393, -1774052, -2554635, -3477142?\nAnswer: -4541573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 22*z - 10*z = -132860. What is the greatest common factor of 3358 and z?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7383726113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39*x - 14. Give a(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and -0.81?\nAnswer: 90.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let p(r) be the first derivative of 1 - 2*r**2 + 0*r - 1\/8*r**4 + 0*r**3. Let j(k) be the second derivative of p(k). Calculate j(m(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**3 + 96*u**2 + 31*u - 21. Calculate p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*o + 3. Suppose x + 4*w - 1280 = 1239, 7602 = o*x + 3*w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 6*t + 5. Let n be g(6). Let q(j) = j**3 + 7*j**2 + 4. Let i(x) = -x**3 - 6*x**2 - 3. Determine n*q(f) + 6*i(f).\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + j + 0*j - 6 - 3*j - j**2. Let h be f(-4). Solve -5*y + 0*y = -4*o - 2, -h*y + 5*o = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 0.04, -1\/69, 0.7, -4 in decreasing order.\nAnswer: 0.7, 2\/5, 0.04, -1\/69, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 - -381. Let o = g - -76. Sort -5, -4, o in increasing order.\nAnswer: o, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h**2. Let o(a) be the first derivative of -a**3\/3 + a**2 + 4119. What is o(g(z))?\nAnswer: -400*z**4 - 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001582 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1425 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, 2, 495, -5, 43 in decreasing order.\nAnswer: 495, 43, 2, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*t + 2*o, 284*o = 5*t + 273*o - 41 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 420?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1669, -5, -1, -3, 4, 0.\nAnswer: -1669, -5, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 95. Which is the nearest to r? (a) -0.5 (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**5\/7 + 598*v**4\/7 + 41364*v**3\/7 - 113688*v**2\/7 + 8176*v = 0.\nAnswer: -49, 0, 2\/3, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22529987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(475))**2 + (-2 + sqrt(931))*-1 + 1.\nAnswer: -7*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4719.762cm?\nAnswer: 47197620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133.6 - -151. Let v = j + -96.4. Is v != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 8*r**2 + 5*r**4 - 37*r**5 - 4*r**2 - 32*r**5 - 8*r**3 + 68*r**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17563.9999966171 + 17564. Round s to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 35*a**5 - 22*a**4 - 55*a**3 + 106*a**2 + 20*a - 40. Let c(z) = -z**4 + 9*z**2 - 4. Let y(s) = 44*c(s) - 4*t(s). Suppose y(q) = 0. Calculate q.\nAnswer: -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 171341009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31839.2 - -103\nAnswer: 31942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4064 + 250*o + 19*o - 4064.\nAnswer: 269*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/7386360 and 83\/8309655.\nAnswer: 66477240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 6, k: 2, f: 2, l: 8}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 17*c + 71. Let r(i) = -i**2 + 9*i - 35. Let y(h) = -4*g(h) - 9*r(h). Let l be y(10). Calculate the greatest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/2 + 1394207*r**3 = 0 for r.\nAnswer: -2788414, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-70))\/((-12)\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*y = 3*m + 26 - 1, 2*m = -33*y + 421 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n - 8. Let p = -2 - n. Suppose 4*u - p = 18. Solve 27 - 11 = u*g - v, -v = 3*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001011111101100111110 (base 2) in base 6?\nAnswer: 355125530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + w - 5 = -4*t, 23 = t - 5*w. Let r(k) = 5 + t*k + 0 - 4*k. Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + -3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1876\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 2*x**7\/945 - 61*x**6\/135 + 8*x**5\/3 - 179*x**4\/27 + 238*x**3\/27 - 6*x**2 + 8*x - 9. Factor t(d).\nAnswer: 4*(d - 119)*(d - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.2. Let d be (9\/(-3))\/(9\/4). Let l = 15 + -10. Which is the smallest value? (a) d (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2278046 + 2*d**3 + 1139082 + 1138964.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 3*t - 26. What is the remainder when 90 is divided by y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/30)\/(3\/693). Let t be (-16)\/l - (-2 - (-60)\/33). Let v be 1\/(2 + 3\/2). Which is the closest to t? (a) -5 (b) v (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921.924 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1328 + 13884. What are the prime factors of w?\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -746755293532217+0.1\nAnswer: -746755293532216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rkkkjbhkjjjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000827524885 rounded to 6 decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 129196 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02156? (a) 2 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -w - 3, 6*w = 5*g + w - 15. Suppose g*a = 2*a + 2. Does 6 divide a*(-1)\/((-1)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 123*g + 818. Give m(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1287\/47017 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2247 and 581112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960*g**5 + 296*g wrt g?\nAnswer: -19200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q + 10. Let w(i) = 34*i**2 - i + 10. Let t(h) = 5*m(h) - 5*w(h). Let f(p) = -2*p**2. Give f(t(v)).\nAnswer: -61250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50406 or -50404?\nAnswer: -50406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i + 3. Let p be i - (-4 + (2 - 0)). Let f(k) = 3*k + 1. Let t be f(-2). What is the second biggest value in t, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419 or 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 3. What is o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62377\/48 + -3907\/3. Calculate the common denominator of 139\/612 and q.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 38. Suppose -5*w = -g*w + 32. Calculate the greatest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1804 and 85\/4.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 520 - 2613\/5. Which is smaller: -2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -10. Calculate the remainder when g is divided by (1133\/(-88) + 14)\/(9\/48).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2398 and 1150393739.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -136, -135, -166, -247, -396, -631, -970?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m - 1\/6*m**3 - 2*m**2 + 0 + 1\/24*m**4. Calculate f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let r(p) = 1670*p - 1367*p - 1967*p. What is r(d(i))?\nAnswer: 1664*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*l = -89*l + 23926. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -79990 + 17950. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 4*c**2 - 2. Let d(s) = -s**3 - s**2 - 1. Let t(g) = -3*d(g) + n(g). Let p(h) = -2*h**3 + 2*h**2. Determine 2*p(z) + 3*t(z).\nAnswer: -z**3 + z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -834718, -3338880, -7512484, -13355530, -20868018, -30049948, -40901320?\nAnswer: -53422134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 35 = 5*h, -2*j + 0*j + 3*h - 6 = 0. Suppose j*p = 5*x + 3 - 19, -4*p - 2*x = 4. What are the prime factors of -2*14\/p*1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94635.\nAnswer: 3, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19693024955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -72*m - 199. Determine w(-7).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -80c?\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0 + 29\/12*o**4 - 4\/5*o**6 + 0*o**5 + 0*o**2 + 15*o + 0*o**3. Find the third derivative of z(n) wrt n.\nAnswer: -576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7381683 and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*v - 2417 - 2340 + 467 = 0. Factor 5\/2*k**3 - 25\/2*k**2 + v*k + 0.\nAnswer: 5*k*(k - 3)*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than 135708\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 3}. Give prob of picking 1 v and 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95555 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 60 = -36*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)\/w**(4\/3)*(w\/((w*w**0)\/w))\/(w\/w**(5\/2)) assuming w is positive.\nAnswer: w**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1994 or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40500 is divided by 5727.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -91*f + 1099. Calculate the remainder when w(8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4249\/13 - 327. What is the closest to 2\/13 in v, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 98*f**3 + 2 + 99*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 115.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 845*o**3 + 34380*o**2 - 114380*o - 147920.\nAnswer: 5*(o - 4)*(o + 1)*(o + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 - 5*i + 3. Let p be y(-3). Let o = p + 5. Solve 0 = 3*v - 4*q + 8, -3*v - 11 = o*q + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/5 - 2*w**3 - 13*w**2\/5 + 12*w - 36\/5 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmumhu. Give prob of sequence mmuh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 102.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 1.31. Let y = h + -0.49. What is the smallest value in 4, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2674*r + 2672*r - 28, 4*r = -4*o - 80 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -41. Let z = 60.3 - o. Let x = 0 + -1. Which is the second smallest value? (a) x (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose 4*w + 2*k = -3*k + 4, -a*w - 5*k - 2 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t - 17\/2*t**2 + 0*t**4 + 0*t**5 - 4*t**6 + 0*t**3 - 12. What is the second derivative of v(g) wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*u**2 + 6*u**3 + 2*u**3 - u**3 + 21*u**2 - 5*u**3.\nAnswer: 2*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-3*54\/(-81). Factor z*c**2 + 30*c**3 - 31 - 20*c - 26*c**3 + 7.\nAnswer: 4*(c - 2)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c - 1. Let n be w(-3). Suppose 0 = -3*b + q + 8 + 10, n*q - 12 = -2*b. Let y = b - 2. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6655) - (-2*sqrt(6655)*-5 + sqrt(6655))))\/(-5*((sqrt(1331) - sqrt(1331)*1 - sqrt(1331))*-1 + sqrt(1331))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3284 + 3286. Solve 3*n + 5 + h = -m, 0 = 2*m - 4*n - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 13*n - 5. Let k be x(-7). What is the nearest to 12 in k, 2\/7, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/30635 and 73\/110286.\nAnswer: 551430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/17)*((l\/(l*l\/l**(-3\/5)*l*l)*l*l)\/l*l)\/l*(l*l\/l**0*l)\/l**(2\/9))**(1\/5))**(22\/7) assuming l is positive.\nAnswer: l**(17842\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 2711 = -g + 13*h, -3*g - 4*h + 8172 = 0. What is the greatest common factor of 640 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let i(s) = -7*s + 3. Calculate i(u) - 3*z(u).\nAnswer: -4*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3151 (base 7) to base 15\nAnswer: 4e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 971551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 at least as big as 18976\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from {l: 16, c: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5535\/(-2583) + (-64)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (24\/32 - 3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -20. Suppose -z*y = -y. Let k(o) = -o**3 - o**2 + 8. Give k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 9*n - 2. Let p be i(5). Suppose -p*y + y = 594. Is 3 a factor of (y\/(-18))\/(((-9)\/4)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6572*r - 6518*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:24 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:23 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 46*p - 21. Let z be c(0). Let d be 2 - (-4 - 119\/z). Factor 5\/3 - d*x**2 + 4\/3*x.\nAnswer: -(x - 5)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 31*r + 3521. Let j be w(-112). Solve 27*u = -j + 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16*g**(31\/5)*g*g*g*((g\/(g*g**(-15)*g))\/g)\/g**14 assuming g is positive.\nAnswer: g**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292314939 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/3*((-10)\/4 + -2). Let c be 407\/15 + 20\/h. Suppose 50 = 7*w - c. What is the greatest common divisor of 99 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113032021 (base 4) in base 13?\nAnswer: -343a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24996406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 2268.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 115223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddpqtpp. Give prob of picking 1 d and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*0.2849.\nAnswer: -4.2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:27 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -5, -215 in descending order.\nAnswer: 3, 0.1, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/12*2*(-25 + 23). Suppose -k - 3 = -o, 0 = k + 2*k + 4*o + 2. Sort m, k, 1 in increasing order.\nAnswer: m, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 109*o**2 + 8*o - 17. Let f be m(2). What is the highest common divisor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.1, -2\/7, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21123302 (base 4) to base 12\nAnswer: 1a442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d - d + 4*d - 4*d. Let z(y) = 4 - 4 + 34*y**2 - 8*y**2. Calculate i(z(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - (-1572201)\/60. Let d = o - 26209. Calculate the common denominator of 47\/10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:24 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001*a + 238 + 192 = -571 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + (-6)\/(-4))*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - ((-129 - (-5 - -9 - 22)) + -1)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 0 + sqrt(612) + (sqrt(612) + (-2 + sqrt(612) - sqrt(612)) + sqrt(612))*-4)**2.\nAnswer: -840*sqrt(17) + 30084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 32, -2*d + 3*z + 23 = -5. Suppose 3*y - 438 = -0*y. Find the third derivative of -74*h**5 + 44*h**d + y*h**5 - 83*h**5 wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 15) to base 10.\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, p: 1, z: 4, g: 1}. What is prob of sequence uogz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.049 + 0.049. Let x = j + -0.036. Let q = 0.759 - x. What is q rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 103?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(5*sqrt(8)*-4))\/(sqrt(24)\/(sqrt(72)\/(sqrt(12) - (sqrt(12) + 2*sqrt(12))))) + 0.\nAnswer: sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 7\/30, 0.1, 1\/6, 2744, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348\/5801 + 863588\/17490015. Find the common denominator of c and 51\/50.\nAnswer: 30150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.045915176205371 and -0.4?\nAnswer: 0.354084823794629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/3, 1.61, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -34 - 2367. Which is smaller: n or 1377\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(sqrt(22)\/sqrt(2) - sqrt(11))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -587*q**3\/3 - 53*q**2 - 2*q - 299. Find the second derivative of k(g) wrt g.\nAnswer: -1174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -65*b**5 - 5*b**3 + 85*b**2 + 5. Let o(n) = 32*n**5 + 3*n**3 - 42*n**2 - 3. Let w(g) = -3*c(g) - 5*o(g). Find the third derivative of w(v) wrt v.\nAnswer: 2100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3. Let l(b) = 2*b**3. Let m = -3 - -3. Suppose 6*y - 4*y - 32 = 0. Suppose -g - y + 5 = m. Determine g*k(n) + 6*l(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -63, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.59 + -0.59. Let m = d + -10. Let t = -1.5 - -2. Which is the nearest to -5? (a) t (b) m (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**3\/3 - 4*r**2 - 6*r - 1. Let a be d(-4). Let s = a + 10. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*p + 139. Calculate the remainder when p is divided by -2 + ((-40)\/(-1))\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (58 - (7 - -48))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 81*w**2 + 806*w + 23. Let l be h(-23). Solve l = -2*z - 5*q + 27, 0 = -10*z + 6*z + 2*q - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26241 - -427770. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361324544 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 - 7*s**2 + 3*s**2. Let c(b) = -b**2. Calculate c(z(a)).\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 2, -0.2, -0.0618, 0.12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 68 = 0. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:46 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 88 = -21. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14*a + 104 = 0. Suppose a*m = -0*m + m. Solve m = s + 5*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 73*r - 64. Let d be y(1). Solve 0 = -d*c - 3 - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i - 14. Let c be n(-7). Let p = c - 51. Let r be (49 - -1)*(p - 135*-2). What is r rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t - 3. Let l be r(-3). Suppose -b - 1 = -l. What is the units digit of 22 - (-3 + b - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -589 + 2944\/5. Suppose 5*x + 16 = 3*b, 3*b + b + 4*x = 0. Let i be b\/2 - 20\/12. Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10394803 - -10394760.99991. Let g = y - -42. Round g to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2\/2 - 10*k + 8. Give z(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 3*v. Let u be g(-2). Suppose 0 = -q + 303 + 89. Suppose -y - 3*y = -q. Calculate the greatest common divisor of y and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 68633*u + 137719. Determine b(-2).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-16 + 38 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/((-70)\/120)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(2\/(-36)). Let g = d + -7. What are the prime factors of 352\/56 + g\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11 = 4*c, -5*c - 6 = -h + 2. Let w = h + 39. Suppose 66 - 528 = -22*g. What is the remainder when w is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + z)*(8*z - 16*z + 0*z)*(-5*z**3 - z**3 + 2*z**3).\nAnswer: 32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -146, -118, -72, -8, 74?\n\"Answer: 9*v**2 + v - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*u - 4 - 3 + 8*u + 0 wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8314*x - 5331*x + 16944*x.\nAnswer: 19927*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 10:15 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 55*k - 54. Calculate p(-25).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438315062 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 172*d + 15025. Let p(q) = -7*q. Calculate p(x(v)).\nAnswer: -14*v**2 - 1204*v - 105175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -314183\/7 and -44883 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 305073 + 3?\nAnswer: 305076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.9332 years in months?\nAnswer: 11687.1984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 523 divided by -875\nAnswer: -523\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:44 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -93, 25, -2, 5, 28, -8 in ascending order.\nAnswer: -93, -8, -4, -2, 5, 25, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*sqrt(78)*3)\/((-5*sqrt(66))\/sqrt(11)).\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55722)\/(-8))\/((-6)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 + m - 2. Let w be s(-2). Let b be (-8)\/4 + (-65)\/(-5). Let t = b + w. Solve t = 5*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/11, -1\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434160*u**2 + 59985*u - 2?\nAnswer: -868320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s. Let n(i) = -5*i. Let u(a) = 5*n(a) - 2*w(a). Let x be u(-1). Solve -x*l - 5 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3. Let d(r) be the third derivative of r**6\/30 + 2*r**3\/3 + 1517*r**2. Determine -d(w) + o(w).\nAnswer: -3*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 5. Suppose 2*s + 32 = 2*k + 7*s, -2*s - 51 = -f*k. Calculate the smallest common multiple of 8 and 1*-1*k*-1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2709*t + 904799. What is f(-334)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1082943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (1896\/4 - (-3 + 4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 3, t: 1, d: 4, s: 2}. What is prob of picking 2 s and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 1 + 3*k**2 - 2*k - 7*k**2 + k. List the prime factors of y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114867 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110001 (base 2) to base 11\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 1\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - 2.69. Which is the third smallest value? (a) m (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-24) - (-2308)\/3. Round z to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-616)\/(-24) - -7)*33\/(-22)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. Solve -m*u = -0*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*g - 9, 0 = -4*w - 4*g + 168. Suppose -3*h - w = -2*l, 9*l + 5*h - 39 = 5*l. Suppose 4*y = l, -4*y = n - 3*y - 166. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*r = 60*r - 221 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 11162247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 > -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 u when three letters picked without replacement from {b: 3, w: 4, u: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32229 + 45258 = c - u, 3*c = -3*u + 232473. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -4, -0.05 in ascending order.\nAnswer: -4, -2, -0.05, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220440 is divided by 5126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 49. Suppose -5*y + 16 = -f. Solve 0 = q - s + 6, s + s - y = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4375 - -4382. Let n be 3 - (3\/(-3))\/(-1). Sort -4, o, n in decreasing order.\nAnswer: o, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38365 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13988 + 1238 = 42*f - 127*f. What is the greatest common divisor of 425 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 499.165 and -4.\nAnswer: 495.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 169305 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**3*r)*(r**3\/r*r)\/r)\/((r\/((r\/r**(-5))\/r))\/r**5)*((r\/r**(1\/6))\/r**(-6))\/(r**(1\/2))**(-14) assuming r is positive.\nAnswer: r**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1568, -0.2 in increasing order.\nAnswer: -1568, -8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3571778 and -117007.77.\nAnswer: -3688785.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -339, 6, 1, 2, 3 in descending order.\nAnswer: 6, 5, 3, 2, 1, 0, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - 17*g**2 + 17*g - 11. Let u(o) = 3*o**3 - 18*o**2 + 15*o - 12. Let x(h) = -3*d(h) + 2*u(h). Factor x(m).\nAnswer: -3*(m - 3)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -12. Suppose -h*m + 4*m + 40 = 0. Let r be (6\/m)\/(3 + -4). Which is the third smallest value? (a) 0.3 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 60438 = -4*b, 5*b - 80239 = -o - 19803. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4921 is divided by 272.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.18 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*c = -5*y + 4, -4*y + 5*c + 12 = 0. Suppose y*r - 590 = 3*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -117, -1, -1\/2, -21, -0.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042833227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5588*y - 1352. Let i be t(-21). What is i rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 105 = -3*o, 74 = 2*u - o. Calculate the highest common divisor of u and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440886 divided by -84758?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:44 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109221 is divided by 4741.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*v + 16*v - 224 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:48 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.336 - -1.566. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12146938 from 0.08855.\nAnswer: -0.03291938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127312 and 4964.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*x + 39*x - 21 + 118*x + 21 as j + v*x and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2935159\/1595 - 9201\/5. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.011 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394526.57 - -52.09.\nAnswer: 394578.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:15 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4, 2*o - 7*o = 3*u - 122. Suppose -4*l + 2*g + 36 = -0*l, 5*l - 4*g = u. What is the greatest common factor of 77 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 42*m**2. Let x(o) = 902142*o**2. Calculate x(d(u)).\nAnswer: 1591378488*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 g, and 1 z when three letters picked without replacement from yzyjgqjzyqqy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 + 0.8.\nAnswer: 652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1985 + -12465. Round h to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 - 24 - 5*k + 11*k + 0*k as w + i*k and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (170\/30 + (4 - 1))*9. What is the common denominator of (-4926)\/336 + 3 + 4\/14 and (2 - z\/(-44)) + -4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34821 - 34804. Solve -2*f = -s, m*s = 12*s + 4*f + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2 + 7 = 5*j, 0 = -5*j - 3*p + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z - 41*z - 40*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g. Let s(x) = 2*x. Let o(p) = -2*c(p) + 9*s(p). Let r(l) = -l + 13. Let y be r(7). Let m(q) = 11*q - y*q + 9*q. Determine m(o(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 2 + 2 + 20*f**2 + 3*f**3 - 8*f**3 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10604 and 141108.\nAnswer: 34007028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/5926254 and 15\/30998.\nAnswer: 65188794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-10)\/280*168\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 - 36284410*i**3 - 50355279*i wrt i.\nAnswer: 40*i**3 - 217706460*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 15) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25622 and 3342.\nAnswer: 76866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 585.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**2 - 30*f + 27. Is 10 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)*y*y**(-1\/7)*y)\/((y\/(y\/(y**(-2\/7)*y)))\/y**(-2\/11)))\/(y**(-2)*y\/(y\/(y**(-5\/4)\/y))*(y**(1\/8)\/y*y)\/y**0) assuming y is positive.\nAnswer: y**(2957\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-30))\/((-27)\/324). Let 2\/5*f**2 - r*f + 2\/5 = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/307 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 + -2*6. Let c = -3 - z. What is the greatest common divisor of 99 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -48 - 42*o + 151 + 32*o. Let c be u(7). Calculate the greatest common factor of c and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509 a factor of 364885346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -1 (c) 4\/273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6 + 54 = -5*p, -4*p = -2*m + 18. Let c = p + 12. Suppose 4*h - 4 + 0 = 0. Sort h, -2, c in descending order.\nAnswer: c, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 89.54151 weeks?\nAnswer: 15042.97368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17568158, 17568144, 17568126, 17568104?\n\"Answer: -2*n**2 - 8*n + 17568168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 795 + 858 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16349798 to the nearest integer?\nAnswer: 4043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.101 to 1 decimal place.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8245 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**3 + 5*b - 161*b**4 + 12*b**3 - 5*b**2 + 160*b**4 + 1 - 5*b**3 to x*b**2 + l*b**4 + a*b**3 + z*b + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.11. Let y = g - 0.07. Let k = -0.9 + 1. Sort y, k, 3.\nAnswer: y, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from teettttteteettbtt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 2*q**3 - q**3)*(-2*q + q + 4*q) + 21*q**4 + 6*q**4 - 15*q**4 - 2*q + q**4 + 2*q.\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 4*x - 2. Let b be z(5). Let h be b - ((-126442)\/(-36) + 3). Let k = -3511 - h. Find the common denominator of k and 93\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.531714 rounded to 2 dps?\nAnswer: 34.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1153073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*((-2146)\/(-203))\/(-37)*203.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20 = 3*h, 5*h = h + 3*u - 55. Let y be (h + -2)*3\/(-2). Let t = -8 + y. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 7 + 1 + -1. Let r = -3 + d. Suppose p = -r*p + 120. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33337 is divided by 5552?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1153039 - 1905*w - 1153039. Let i(f) = f**2. Determine i(j(g)).\nAnswer: 3629025*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.04389+173.24\nAnswer: 171.19611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)\/((a*a\/(a\/(a\/(a*a\/(a\/a**(1\/5))))))\/a) assuming a is positive.\nAnswer: a**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from qmglh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100193.358 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11181 = -23*j + 18*j + 2*x, 5*x = 5*j - 11190. Does 37 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28494*m - 2940 = 28599*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29619284 divided by -7.\nAnswer: 29619284\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444175378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*u**2 - 11 + 4 - u to d + h*u + z*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 540345 take away 272?\nAnswer: 540073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from {b: 5, n: 8}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) - (-24)\/27. Let q = -0.3859 - -5.3859. What is the nearest to 0 in q, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 + 4*i + 7. Let n(j) = -j**3 + 6*j**2 + 7*j - 4. Let u be n(7). Let z(t) = -3*t**2 + t**2 - 3*t - 6 - 5*t**2 + t**2. What is u*m(b) - 5*z(b)?\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c + 117 = -10*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.62 and 0.2.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, p: 1, h: 6}. What is prob of sequence mhp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 256444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 10. Let k be w(7). Suppose 4*s - 5*t = -2 - k, 3*t = -5*s + 40. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.69 * -61.\nAnswer: -225.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*10\/(-5)*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 5*i + 2*i. Let m(q) = -q**2 - 16*q + 4. Let c be m(-11). Let u(k) = -c*k + 116*k - 56*k. Give h(u(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose 31 = m*k - 1. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 439545.\nAnswer: 61\/439545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 + 3*c + 8. What are the prime factors of k(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3198.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -58338.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = -0*i. Suppose 5*b + 125 + 525 = i. Let q = b - -205. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 175*g + 272. Let x be r(-89). Let f(c) = -2*c**2 + 12*c. Let k be f(6). Sort k, 70, x in decreasing order.\nAnswer: 70, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108033, -107077, -105487, -103263, -100405, -96913, -92787?\nAnswer: -88027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 times -10\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15720 is divided by 5180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5219\/6 or 0.1?\nAnswer: 5219\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/3, 5\/2, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49220005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -148 + -4 + 38?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 6*d - 5. Let j(f) = f**3 - 5*f**2 + 5*f - 1. Let g be j(4). What is the lowest common multiple of p(g) and 47?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, g: 2}. What is prob of picking 1 g and 3 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759266564?\nAnswer: 2, 19, 37, 401, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.2613 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/2 + 44*y**3 + 9*y**2\/2 - 396*y.\nAnswer: -y*(y - 88)*(y - 3)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u + 2. Suppose y + 2*y + 4*z = 46, 5*y + 3*z = 73. Let v = y + -9. Suppose -3*q = h + 6, v*q = -0*q - h - 12. Determine p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, j: 1, z: 3}. What is prob of sequence zjz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/7 + 135*o**2\/7 + 84*o = 0. Calculate o.\nAnswer: -4, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/(v**(2\/5)\/v))\/(v**(-1\/3))**(9\/8))**(1\/25) assuming v is positive.\nAnswer: v**(239\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2357232 micrograms in grams?\nAnswer: 0.0000002357232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 15*p**2 + 8*p - 48566 + 8*p + 48602 + p**3. Calculate m(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 15. Let i be y(5). Solve w - i*w = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 585*k + 1164. Let v be u(-2). Solve -115 = 33*t - v*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 + 8*i**2\/7.\nAnswer: i**2*(i + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*x - 2*o = -473*x + 36873, -o + 147546 = 4*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*b + 18 = -0*n, -28 = -5*n + 3*b. Suppose 0 = -5*x - 15, -5*l + 4*x = -17. What is the derivative of n*u - 5*u + u**3 + l wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/136 and -6\/187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -130443, -130404, -130365, -130326, -130287?\n\"Answer: 39*v - 130482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12687\/37280 + -4\/1165. Calculate the common denominator of x and -87\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(9*z + 4*z - 10*z) - 10*z + z - 7*z + 0*z + z + z - 4 + 4 - 2*z to t + c*z and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/7 (c) 2 (d) -4 (e) -1\/6 (f) -287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5 + 4. Let g be 2\/6 + (-24)\/r. Suppose 16 - 1 = g*s. Solve 3 = s*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10585\/2 (b) -16\/23 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1. Let g(c) = 3*c**2 - 6. Determine 5*a(b) - g(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-48)*3 - (2 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1165 = 2*h, -4*h = -2*k + h - 437. Let n be (-143)\/k - (-1)\/(-3). Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21416 and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1.69 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16537 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16325 divided by -1.\nAnswer: -16325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -241?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 46*q = 0. Suppose 3*z - 4*f + f - 21 = q, 0 = f + 2. Suppose 3 = 2*d - 5. What is the least common multiple of d and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956244397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*q + 3*q. Let v be ((-1)\/(-1))\/(q\/8). Suppose -4*a + 6 = v. Solve -d + a = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -6, 54 in decreasing order.\nAnswer: 54, 6, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.300218 rounded to one decimal place?\nAnswer: 424.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2630 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 540, -99, -2 in ascending order.\nAnswer: -99, -2, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110111210 + 21?\nAnswer: 12110112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -90. Let w = 58 - x. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 - 195.173. Let h = x - -0.673. Which is the third biggest value? (a) -0.3 (b) 5 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 + 266. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*k + 27 - 74, 79 = 4*x + 3*k. Solve -5*y = -2*g - 6, -4*y - 4*g + x = -0*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s - 153 = 0. Let v = s + 285. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3*(-1 - 0). Suppose -g*y - 385 = -8*y. Let d = 1 - -6. What is the highest common divisor of y and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2667785*l**3 + 20*l**2 = 0. Calculate l.\nAnswer: 0, 4\/533557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*l - 10, 3 = -2*l - 3. Let x be (6 - 0\/(-2)) + b. Suppose -k - 36 = -x*k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*o + 19*o + 52*o)*(-5 + 30 + 2).\nAnswer: 1242*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3472032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + w + 7, 28 = -2*o + 6*o + 3*w. Let c(x) = 0*x + x - 6 + o. Suppose 2*y - 4 = 0, 5*r + 2*y - 4 = -0*y. Calculate c(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16368106 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 45, 34, -3, -78, -203, -390?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p**3\/3 - 38*p**2\/9 - 8*p\/9 = 0 for p.\nAnswer: -1, -4\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:40 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 401*n**6\/40 + 193*n**5\/10 - 4*n**2 + 180. Find the third derivative of v(g) wrt g.\nAnswer: 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14\/57 (b) 1 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6315 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 352*m*t + 325*t wrt m.\nAnswer: 352*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 10. Determine l(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/5)\/(k*k**(-26)*k*k))\/(k**(-1\/20)\/k*(k\/(k\/((k**1\/k*k)\/k)*k*k)*k)\/k) assuming k is positive.\nAnswer: k**(557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = 4*u + 1, 4*u - 8 = -3*k. Let x = 0.1166 - -0.0834. Sort -0.3, -1\/4, u, x in decreasing order.\nAnswer: x, -1\/4, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11682a (base 11) in base 12?\nAnswer: -8aa5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 43 = 76 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598 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: Solve 2*g = g - 4*s - 15, 11 = 3*g - 2*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35936 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(t + 0*t + t) + 0*t**2 - t**2 + 2*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/((sqrt(14)*-3)\/sqrt(7)) + (4 + 3 + sqrt(17) + (-2*sqrt(187))\/sqrt(11))**2.\nAnswer: -43*sqrt(17)\/3 + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 821 = -4*s, -s = 2*a - 82 - 132. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(-3) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542642 = -216*r - 8*r - 558770 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178013.\nAnswer: 11, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 + 32*a**4 - 24*a**3 - 160*a**2 + 244*a - 96 = 0. Calculate a.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -23. Let f(b) = -b**2 + 6*b - 6. Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*y + 54 + 14 = 0, 0 = -4*n + 5*y + 68. Calculate the remainder when 28 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 74. Let n be c(-23). Suppose -n*d = 5 - 335. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - h + 18, 4*k + 5*h = -0*k + 48. What is the highest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -642757 (base 9) to base 10\nAnswer: -382615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4349 and -0.5?\nAnswer: -0.71745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3\/1148 (c) 6\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 211000120?\nAnswer: 211000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -192*d + 4688. Determine k(15).\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 + 6*t + 10. Let c be u(7). Let h be (6\/(-4))\/((-18)\/(-24)). What is the biggest value in -0.3, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-25))\/(q\/(q*q\/(q*q**(2\/3))*q*q)))**(3\/5))**(-33) assuming q is positive.\nAnswer: q**(2244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 - 243. Let x = 63 - t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17237.70608132 + -17314.70608. Let c = 77 + g. What is c rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 354\/5. Let w = -0.05 + -8.95. Let l = 8.5 + w. Which is the third smallest value? (a) -3 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*q**2 - 162*k*q*s - 10961*k*q - q**2*s + 10*q*s - 2*q - 2*s wrt s?\nAnswer: -162*k*q - q**2 + 10*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 + 3*o. Let v be s(-2). Let q(x) = -5 + 3 - 3*x + v*x. Let j(a) = -1. Determine -4*j(c) + q(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 48. Let u = p - 47.176. Let d = -0.11 - u. Round d to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -751*t**3\/6 - 1931*t**2 - 5451*t. Find the first derivative of i(c) wrt c.\nAnswer: -751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2691*z**2 + 3305*z**2 - 5334*z**2 in the form j + g*z + a*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -0.8.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 84. Suppose -y - 4*y = -5. Solve t + v = -y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1830, -778, -7838, -21570, -44194, -77930, -124998?\nAnswer: -187618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z - 20. Suppose -16*d + 39 = -3*d. Give o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - d - 8481005, -5*b - 22743132 = -2*d - 8608142. Round b to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4 + 2*h**2 - 2*h - 732.\nAnswer: -36*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -77*h + 1819. Give o(23).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1.3, -7, -1, 11, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m - 3*w, -m + w = -0 - 2. Suppose -5*g - l = 6, 0 = m*g - 0*l + 5*l + 9. Let z = 22 - 21.7. Which is the closest to g? (a) 8 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**9\/432 - 17*s**8\/1680 - s**7\/140 - 23*s**3\/3 + s**2\/2 - 117. Let k(t) be the third derivative of y(t). Factor k(z).\nAnswer: -z**3*(z + 2)*(7*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23384, -23636, -24058, -24650, -25412?\nAnswer: -26344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k*z**3 + 3*k*z - 11*k + 23*z**3 - 1270 with respect to z.\nAnswer: 18*k*z**2 + 3*k + 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*g - 1, 0 = 3*r - g - 27 + 4. Suppose 6*d - 42 = r*d. Let b = d + 37. Is 23 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*t + 5 - 5 - 97*t - 161*t as a + x*t and give x.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -264*m**2 + 87*m**2 + 85*m**2 + 82*m**2. Let z(l) = -24*l. Determine t(z(v)).\nAnswer: -5760*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032 + -101310100?\nAnswer: -101312132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5049 and 28993602.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.9*-38.9\nAnswer: 190.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(40\/6)*1950\/44460\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.077+-0.5\nAnswer: 4.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/20 + 19*f**3\/6 - 40*f**2. Find the first derivative of t(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172809 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 9. Let g be c(-4). Suppose -3*w + 414 = 3*b - 42, -b + 140 = g*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 108. Suppose -w = 2*w - m. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**3 + 24*v**2 + 11*v - 14. Determine o(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376064 by 5.\nAnswer: 376064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 236 = -22*p. Let n(k) = 4*k - 7. Let v be n(5). Let b = p + v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27418210 + -49511029. Let s be (46478457\/(2 + 1))\/(-1). Let u = s - f. What is u rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 0*q. Find the third derivative of 3*y**q - 368*y**5 + 177*y**5 + 48*y**2 + 181*y**5 wrt y.\nAnswer: -600*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2340 = 4*p - p. Let j = 1363 + p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1468 - 6 - 9705)*(-3 - 3*a + 4*a + 1) to g*a + v and give g.\nAnswer: -8243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -50. Let s = 60 - u. Solve -l = -3*k - 1, 0 = -s*k + 3*k - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538486329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = -r, -3*s + 6*s + 12 = 0. What is the remainder when 4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.424 (c) -1915 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 1000*l**2\/7 - 2104*l\/7 + 48192\/7.\nAnswer: 2*(l - 502)*(l - 6)*(l + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2317125 divided by -5\nAnswer: -463425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1680828\/(-24)*6\/(-38). Let z = 11060 - h. Let g = -1948\/7 + 43353\/154. What is the common denominator of z and g?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6*z + 10. Let q be c(4). Let f(k) = q*k - 7*k + 1 + 4*k. What is the units digit of f(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 993421?\nAnswer: 993418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19)*-1 + -1 + sqrt(19)))*-2.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8277 - -12595. Let b = -4358.956 + n. Let r = 0.044 - b. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2511452 + -6?\nAnswer: 2511446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48731201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 428419 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -13\/5 (c) -5\/2 (d) -3 (e) 20\/121 (f) 1 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**2 - 6*y - 3. Let f(u) = -u**2 + 2*u + 1. Let k(b) = -3*f(b) - r(b). Let m(g) = 27*g**2. Calculate k(m(l)).\nAnswer: 10206*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 337571776 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*k = 997, 0 = 3*k - 6 + 9. Calculate the least common multiple of 7 and b.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2\/9, 2.1, 3, -1\/2 in decreasing order.\nAnswer: 3, 2.1, 2\/9, -1\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 4865*w**2 + 9765*w - 14625 = 0. Calculate w.\nAnswer: -3, 1, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 + -1)*((-5214)\/(-66) - 78)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 79*m**5\/30 + 13*m**4\/6 + 66*m**2 - 2. What is the second derivative of y(a) wrt a?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from czczzcacuzacuccc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5781 - -8535. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 - -148. Let c be 1\/(w\/46 + 8\/6). Let i = c + 67. Let l(d) = -2*d + 1. Determine l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c + 1. Let h(u) = -5*u**2 - 5*u + 1. Let n(s) = b(s) - h(s). What is the units digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1)\/(12\/6). Let i(h) = h - 20. Let w(y) = y - 20. Let g(z) = -5*i(z) + 6*w(z). What is g(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123925531?\nAnswer: 123925531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i - 8. Let j(l) = 4*l - 9. Determine 6*d(a) - 5*j(a).\nAnswer: -6*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 33 + 1185 = 66*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.080001138 - 6.08. What is s rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 4*x - 85 = -69*f, 37974*f - 37976*f + 37 = -5*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/17 + 241258300*m\/17 - 7275695914861250\/17 = 0.\nAnswer: 60314575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, 36, 97?\n\"Answer: 61*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3109 + -3867. Let g be ((-51)\/4)\/((-4)\/d). Let n = g - -42236. What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4296 and -43\/96.\nAnswer: 17184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 7. Let n be (-107056906)\/q + (-14)\/(-49). Let r = 4593844 - n. Round r to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -420, -12226 in decreasing order.\nAnswer: 0.5, -420, -12226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -2, 2, 4, 0.3 in increasing order.\nAnswer: -57, -2, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 + 0.07. Let y = -57319 - -57319. Which is the third smallest value? (a) y (b) f (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 10*f + 5*f)*(-2*f**2 + 2*f + 5*f**2 + f**2) to the form q + h*f**3 + r*f + s*f**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1154.168 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 3*w - x - 2283, 4*w - 4*x - 812 = 0. Calculate the least common multiple of w and 40.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 13*s**2 - 24*s + 6. Let x be u(-14). Suppose -3*t = -9, 0 = f + 2*t - 7 - x. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*c - 7*w - 34, 2*c + 4*w + 16 = 0. Let u(x) be the second derivative of 38*x + x**2 + 5\/12*x**c - 5\/6*x**3 + 1\/20*x**5 + 0. Give u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-16)*-6 + -4. Let z = -6 - -8. Which is the nearest to z? (a) -0.1 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017774+-420.9\nAnswer: -420.882226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34591 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -65. Let i(f) = 1 + 0 + p*f - 1. Let q(v) = -2*v. Determine q(i(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -i + 1157, -26*n = -28*n - 5*i + 2314. Let x = n + -830. Calculate the remainder when x is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -7b9310?\nAnswer: 7b9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3 - 23*c. Let a(n) be the third derivative of n**4\/8 + n**2. Determine i(a(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r. Let g be a(-2). Determine h so that -10 - 5*h**2 - 19*h**2 + g*h**3 + 5*h**3 + 4*h**2 + 25*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/10)\/(1 - (-78)\/(-90)). Suppose 428 = a*u + 77. List the prime factors of (223\/4)\/(u\/12 + -3).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 22 in decreasing order.\nAnswer: 22, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/24 + y**4\/8 - 5*y**3\/6 - 4*y. Let q(g) be the second derivative of j(g). What is the derivative of q(l) wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -8725, 20 in ascending order.\nAnswer: -8725, -6, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 2388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 475 and 9405.\nAnswer: 47025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = -23. Let p(t) = 3*t**2 + 11*t - 10. What are the prime factors of p(a)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*p + 126*p = -3. Sort 5, 3, p in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360 = -173*t - 2100 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5\/4 + 9396*q**4 + 451449*q**3\/4 - 56379*q**2\/2 - 319788*q + 225720 = 0.\nAnswer: -12, -2, 1, 12540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q = -183. Let z = -10 + q. Let o be (4\/(-34) - 2340\/z)\/(-1). What is the greatest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s**2 + 44*s - 14. Let i(f) = 6*f**2 - 15*f + 5. Let x(g) = -8*i(g) - 3*w(g). What is the tens digit of x(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390140000 rounded to the nearest one million?\nAnswer: -390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*c - 1 = -0*l, -4*l - 4*c + 28 = 0. Suppose -2*v = -0*v - l. Let x be (-2)\/7 + 86\/7. Solve 0 = -v*z - x - 0, -2*z = p + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 - 262*c**4\/3 - 2776*c**3\/3 + 2752*c**2\/3 + 20416*c\/3 + 3872 = 0.\nAnswer: -22, -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + sqrt(5) + sqrt(320) + -3*sqrt(320))**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9210, -8278, -7340, -6396, -5446, -4490, -3528?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 930862.1 centuries?\nAnswer: 93086210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344\/5856 - 30\/(-54)*(-6)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/4 - 2*n**2. Let g(f) = -f**2. Calculate g(b(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118469006 is divided by 4592?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7 + 1. Suppose 4*j - 21 = -3*g, v = 2*j - 3*g + 5. Suppose 3 = -3*o - 3*t, 4*t = 4*o + t - 3. Put j, 1, o in ascending order.\nAnswer: o, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -809 or -2\/5?\nAnswer: -809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -252*o**5\/5 + 35*o - 275. Differentiate s(d) with respect to d.\nAnswer: -1008*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13696, -27397, -41100, -54805?\nAnswer: -68512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 5) to base 4\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*-4 + -1 + -1)**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 11*b + 8*b = -32, -4 = -2*s + b. What is the remainder when -8 + 31\/s + 2241\/4 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 43014 - 2*x - 86033 + 43053.\nAnswer: 2*x + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from vbtpvoovppodvp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 take away -4.49266?\nAnswer: -110.50734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14758.7 - 14757. Which is the closest to -28? (a) 1 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139283983 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3 = 0, o - 17 = -4494*c + 4493*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (-2*sqrt(204) - sqrt(204)))*-1)\/sqrt(192))**2*4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*2.3\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-13 + 19) - -8) + (5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511*b**2*d + 12*b*d - 2*d + 2 wrt b?\nAnswer: -1022*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 19*h**2 - 47*h + 152. Give q(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13202132 - -10?\nAnswer: 13202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127409.1815 - -1.1815. Let u = s + 127413.0963. Let x = u + -5.1. What is x rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 31 - 4 = -5*g, 3*g - 3*w = -6. Solve -3*n - 2 = 2*l, -4*n = -g*l - 1 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7024 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-85) - (-142)\/5. Let l be 2728\/m + 9\/(-21). Is l + (1 - 0)*0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 532724, 4261779, 14383502, 34094225, 66590280?\n\"Answer: 532722*l**3 + 2*l**2 - 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*m - 3*s - 5, 46 = 3*m + 5*s. Suppose -4*k + m = x, x - 34 = -2*x - 4*k. Suppose x*j = j + 10. What is the closest to 2\/5 in 2\/7, -5, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 155\/3749, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 163, 4, 2, -2187?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/6)*a)\/a*a)\/(a*a\/a**3) assuming a is positive.\nAnswer: a**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.031122 + 2.068792. Let j = x - 0.13897. Let q = j - 1.9. What is q rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.5 - 20.6. Let f = -0.8 - a. Sort 4\/5, 5, f in decreasing order.\nAnswer: 5, 4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 163197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccgggggg. What is prob of sequence cccg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 24*h**2 + 24*h - 166. List the prime factors of f(-16).\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1248)\/(-1456))\/(2\/6*(-3)\/14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5820*n - 546 - 3827*n**2 + 760 - 214 wrt n.\nAnswer: -7654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, 0 in ascending order.\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 11 - 6 - 2*f + 2*f. Let p be r(6). What is the nearest to p in -2, -3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 72 = 3*r. What is the remainder when 69 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**3 + 18 + 14 - 25*i**3 - 17*i**3.\nAnswer: -6*i**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + m - 37 + 12*m + 44 in the form a*m + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) - (sqrt(252) + (sqrt(252) - sqrt(252)*2) - sqrt(252))) + (sqrt(252) + sqrt(252)*-2)*5)\/((sqrt(72)*1*-1)\/(-1*sqrt(392))).\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68134 and 8.\nAnswer: 272536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 84 = 4*i. Is (-3)\/(-3) + i\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 101011000101110101000?\nAnswer: 101011000101110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2d111da2?\nAnswer: 2d111da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 384 - 12 = 2*v. Calculate the lowest common multiple of 38 and v.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32320 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191812, 383624, 575436, 767248, 959060, 1150872?\nAnswer: 1342684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/8, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/86? (a) -1\/39 (b) -2\/15 (c) 1\/5 (d) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4512041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) 35550 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 53, -1.\nAnswer: -5, -1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 28*b - 163. Calculate the least common multiple of i(8) and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179235 and 13167.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -0.3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158467*n**2 + 14*n - 98 wrt n.\nAnswer: -316934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92315 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/728 - 9\/(-63)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + 105\/(-9)*-2. Suppose -5*o = 4*a - 31, -2*a - 2*o - 3*o + d = 0. Sort -5, a, 36 in decreasing order.\nAnswer: 36, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1294766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v**2 + 14 + 0*v - 1\/3*v**3. Let f(s) = -50*s**2 + 1 + 5 - 2 - 2. Give p(f(l)).\nAnswer: -2500*l**4 + 200*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 11*o - 440. What is the remainder when o is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 2*b + b)*(2 + 1 - 5)*(-1 + 1 + 5*b) + (-1 + b + 1)*(5*b - b + b) to o + d*b**2 + n*b and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m - 689. Determine r(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52019 + -5?\nAnswer: 52014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*f + 284*f - 6852904 = 0. What is the ten thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 - 2*h - 5. What is the smallest common multiple of z(-4) and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h + 7. Let k be -25 + 741\/39 + (4\/2 - 2). Let r(p) = 24*p + 8. Calculate k*f(w) + 5*r(w).\nAnswer: -18*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d43bbb1 - 3?\nAnswer: -3d43bbb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) + (45680\/44)\/10. Let l = 106 - x. Suppose -14*q**3 + 44\/5*q**l + 5*q**4 - 8\/5*q + 0 = 0. What is q?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (275\/22 + -13)*0. Let a(q) = q**2 - 3*q - 5. Determine a(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((-6)\/(-48))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 49)\/((-21)\/(-518)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122.1 - -117. What is u rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {g: 3, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 + 8 + (128 - 48)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139220525 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34531.206 + -34590. Let c = -60.7 + 1.7. Let m = c - j. What is m rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 45 - 22*r**2 - 5*r**2 + 24*r**2 + r**3. Let d be t(6). Suppose -x = -8 - 5. What is the greatest common factor of x and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -12. What is the lowest common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((18\/(-84))\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -3 (c) -1 (d) -0.43 (e) 17 (f) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from thtssttathhth?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -7*p - 36. Let i(q) = 3*q**2 - 8*q - 13. Let r be i(p). Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emc when three letters picked without replacement from {k: 1, c: 2, e: 1, y: 2, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/15 - 14342*p\/15 + 28708\/5 = 0.\nAnswer: -7177, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 6. Let p be a(2). Let o be 2*(6\/(-4) + 26\/p). Let u = o + 12. What is the second smallest value in u, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.484527 months in years?\nAnswer: 1.04037725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:53 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 2 - sqrt(102)\/sqrt(6)*3)*-5 + 3.\nAnswer: -7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4 - 640*f**3 - 684*f**2 + 6472*f - 5152 = 0.\nAnswer: -4, 1, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1340, -5388, -12134, -21578, -33720, -48560?\n\"Answer: -1349*b**2 - b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -259*x**5\/5 + 413*x**4\/3 - 18*x - 40. Find the third derivative of r(q) wrt q.\nAnswer: -6216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -90227, 1, -4, 6, -2 in descending order.\nAnswer: 6, 1, -2, -4, -90227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b**(1\/4))**36 assuming b is positive.\nAnswer: b**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2671 - 2666. What is the closest to -1.8 in -0.4, -5\/6, d?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -1.49735. Round p to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14981 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o*o*o**(5\/3)*o)**(-15) assuming o is positive.\nAnswer: o**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let p(n) = -37*n**2 + 22222*n. Give p(b(d)).\nAnswer: -148*d**2 - 44444*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c + 2. Let v be x(-1). Let j = 25 + v. Suppose 3*d - 30 - j = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-8)\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41846 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: What is the greatest common factor of 44 and 2258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93730 is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3541624.\nAnswer: 2, 442703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 3*i + 4*i - 13*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/4*(5 + 1888\/(-224)). Let f(u) be the third derivative of 0*u**3 + 0*u - r*u**2 + 1\/60*u**5 + 0 + 0*u**4. Let j(k) = 9*k. Calculate j(f(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89179, -89180, -89183, -89188, -89195, -89204?\nAnswer: -89215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 + 222*h**4 + 228*h**3 - 222*h**2 - 225*h = 0. Calculate h.\nAnswer: -1, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*w + 368467 - 369187 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7563099 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7 - 7 - 6*x**2. Let q(o) be the third derivative of -o**5\/60 + o**3\/2 - 11*o**2. Let z(f) be the first derivative of q(f). Determine z(d(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 282\/18*1*3. Let k be (-6)\/(-4 + 872\/224) - 9. Is u at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:28 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - -5. Suppose 5*a = -3*d - 5 + 3, -8 = 2*a + 3*d. What is the second derivative of -n*u**2 - 5*u**5 - a*u + 26*u**2 wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**3*m - 65*i**3*w*z + 21*i**2*m*w*z - 3*i*m*z - 19*z with respect to m.\nAnswer: 6*i**3 + 21*i**2*w*z - 3*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310\/(-396)*(-1824)\/532.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -10) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12584 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/(-1240) - ((-1980)\/(-165) + (-94)\/8).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:14 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - t**3)*(-5*t + 5*t + t) - 1 - 3*t**4 + 1 + 18*t**4 + 395*t**3 - 395*t**3.\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 799 = 3*b, -8*u + 13*u + 5*b = 3955. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 12*z + 12 - z**2 + 5. Let n be t(12). Suppose -4*h - 4*s + 97 = 33, 3*h - n*s - 56 = 0. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 431 + -623. Let t = s + 492. What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-140)\/(-40))\/(1\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2\/2 - 365075*k + 26655951125\/2 = 0.\nAnswer: 73015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*p + 638*p + 397*p - 104850 = 0 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63701341.\nAnswer: 11, 409, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6451.02712 + -6451. What is a rounded to 4 decimal places?\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/6*(-18)\/4. Let d(l) = -4*l - 5. Let p be d(-7). Let j = p + m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(4 + -1 + -2). Let i = 26 - y. Calculate the smallest common multiple of i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057))**2 + -4.\nAnswer: 8224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 282. Let n = -173 - j. Calculate the least common multiple of n and 55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + 332324512?\nAnswer: 332325012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -895661 - 4.\nAnswer: -895665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*p + 1934 - 72*p - 1936)*(p + p + 0*p).\nAnswer: -212*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 182.367 - 0.367. Let h = w + -171. Which is the third smallest value? (a) h (b) -1\/3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + (1608\/(-120) - 3) + 16\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11310000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17283668\/3701 + -4670. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5538883455 to the nearest integer?\nAnswer: 74424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/60 - n**4\/8 - 7*n**3\/6 - 4*n**2. Let m = 9 + -4. Let g be o(m). Solve -5*t - 14 = 2*j, 3*t - g*j = -2*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/30 - 5*p**4\/24 - p**3\/3 - p**2. Let r = -4 + 8. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37106937 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 31*k**2 - 28*k + 60.\nAnswer: -(k - 1)*(k + 2)*(k + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-24))\/(40\/(-96)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4087 divided by 5.\nAnswer: -4087\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 584 * 28\nAnswer: 16352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or 0.3?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from eeeennenennnyeenee?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 180*p**2.\nAnswer: 5*p**2*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-20*k**2 + 50*k**2 - 16*k**2)*(-73 + 73 - 10*k - 3*k**2).\nAnswer: -42*k**4 - 140*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, r: 1, d: 1, v: 1, o: 4}. Give prob of sequence uvrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130897 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3264 and 1632.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 19, 63, 137, 247, 399, 599?\n\"Answer: k**3 + 6*k**2 - 5*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 52*f - 8. Let h(r) = 2*r. Let z(c) = 20*h(c) - k(c). Is 9 a factor of z(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1704 divided by 220487.\nAnswer: -1704\/220487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-10 + 3 - ((-8 - -11) + 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2a47362 (base 12) to base 14\nAnswer: -11ca030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -c + 202, 5*c = -5*h - 0*c + 245. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2\/17, 7, -1636, 1\/3 in decreasing order.\nAnswer: 7, 1\/3, 2\/17, -26, -1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 12\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27945077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + -7a0d6?\nAnswer: -7a0a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2c81 (base 13) to base 10\nAnswer: 6527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 78, 145, 212, 279, 346?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56126 - -9036254\/161. Find the common denominator of c and 24\/35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644389 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.046, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - (-15 + 10) - (0 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 96 (b) 0 (c) -1\/3 (d) 2\/9 (e) -18 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199247*p**4 + p**2 - 142707*p + 2 wrt p.\nAnswer: 4781928*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2427943 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3132 divided by 27\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*r - 1566 = 0, 2*g - 7*r + 12*r = 765. Does 55 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Solve 3*w + 5 - 17 = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1353121 to the nearest 1000.\nAnswer: 1353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - n**4 + 0*n**4 + (2*n**2 + 0*n + 0*n)*(-n**2 + 3*n**2 - n**2) - 42*n**4 - 25*n**4 - 25*n**4.\nAnswer: -93*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99)*-4 + (-4 + (sqrt(11) - sqrt(891)))**2*-4.\nAnswer: -2881 - 268*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -3894340.1994686.\nAnswer: -3894346.1994686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5251899 is divided by 5593.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14494\/13531 - -1\/3866. Which is bigger: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493318 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 2*a + 1. Let x(g) = 0 - 7 + 7*g**2 + 5*g + 5. Calculate 5*f(w) + 2*x(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18*(-5)\/900)\/((-32)\/(-2)). Let z(k) be the second derivative of 0 - 49\/16*k**3 - 343\/16*k**2 - 7\/32*k**4 - 9*k - n*k**5. Factor z(w).\nAnswer: -(w + 7)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g, -6*g - 36 = 4*h - g. Let s = h + 5. Let v(a) = -a**3 - 5*a**2 - 5*a - 2. Let x be v(s). Solve -x*z = -4*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16058 - -30809. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s - 8*s - 342 = -233*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0, 4, -32, 40, -4 in increasing order.\nAnswer: -32, -4, 0, 4, 32, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/151 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -23. What is the remainder when (2*g\/12)\/((-2)\/111) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047778276638 take away 0.033?\nAnswer: -0.0282221723362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1020211120?\nAnswer: -1020211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1)*3\/(-6). Suppose -14 = -k + o + o, 2*k + 4*o + 12 = h. Calculate the smallest common multiple of k and (7 - 5)\/(10\/165*3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 6*sqrt(147)*2)**2 + sqrt(147)*2*2.\nAnswer: 28*sqrt(3) + 24843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 6. Suppose s*v = 41 + 43. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1882966*q**6 - 94*q**2 + q - 2943.\nAnswer: 225955920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z - 0. Which is greater: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665\/266*6\/12*5\/(-1)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - 22. Let m = -39 - c. Is 36 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13072, 13075, 13078, 13081?\nAnswer: 13084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.54872s in nanoseconds?\nAnswer: 34548720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -539 divided by -3029\nAnswer: 539\/3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 8.58.\nAnswer: 29.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.36?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101010000 (base 2) in base 5?\nAnswer: 142333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*b**2 + 68*b**6 + 35*b**2 - 20*b**6 - 15*b**2 wrt b.\nAnswer: 5760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {p: 1, n: 3, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i - 4*d - 636, 954 = -3*i - d. Let u = i - -1679. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 381, 459, 537, 615, 693?\n\"Answer: 78*z + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 182 - 89?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:28 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1766 + 1916. What is the greatest common factor of 325 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71100 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 140394 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 0, -5*i - x - 10 = -3*x. Let r be i - (-4)\/(-1)*-1. Let 2*c**2 + 2*c + r + c + c = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -64. Let g(n) = -n - 4. Let j be g(-4). Suppose 0 = 2*r - 4, t*v + j*r - 60 = -r. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -171, -253, -333, -411, -487, -561?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -92. Suppose -4*o + 3*r = -1301, 0 = -4*o + 3*r + 2*r + 1307. Suppose z = o + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -5. Let l = 21 - v. Suppose 3*s - 4*s + l = 0. Calculate the remainder when 34 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39278*y**3 + 39475*y**3 - 78535*y**3.\nAnswer: 218*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129293153 rounded to four decimal places?\nAnswer: -0.1293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -17*g**2 - 1\/24*g**4 - 1\/6*g**3 + 0 + 0*g. Determine x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*u + 62 = -3*u, -2*u - 64 = -8*r + 2*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h - 8*h - 1180 + 344 = 10*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/8159 and -24\/287.\nAnswer: 57113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(-3))*t*t)\/(t\/(t*t*t*t\/(t*t*t*t**(-5)*t)*t))*t**(-3\/8)\/t**(-7))**(-28) assuming t is positive.\nAnswer: t**(-539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076249640 to the power of 1\/2, to the nearest integer?\nAnswer: 32806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 21*t**2 + 19*t + 22. Let g(n) = -n**2 + 5*n - 6. Let f be g(7). Is 14 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -10011?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -149*z - 3. What is the units digit of u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -300 + 531. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5 and 2\/8*1984\/400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83445822?\nAnswer: 2, 3, 109, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1\/3, 1 in descending order.\nAnswer: 1, -1\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 103 - 22 = 5*h, 0 = 2*y + 4*h - 152. What is the greatest common divisor of y and 798?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + (-11 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95890, 95893, 95896, 95899?\nAnswer: 95902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -3\/5 (c) 0.3 (d) -0.0572 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - 11*v + 0*v + (5*v - 3*v - v)*(1 - 3 + 1) + 2 - 2 - 2*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-30))\/((-5)\/((-300)\/10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8988989.\nAnswer: 8988989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 11. Let t be i(4). Solve -3*z - t + 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1100026, 2200016, 3300006, 4399996?\n\"Answer: 1099990*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59724 divided by -19908?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*n + (-173 + 59*n + 173)*(-1 + 4 + 0))*((-2 + 2 + n)*(1 - 2 + 3) + 1 + 2*n - 1 - n - 1 + 1 - 15 - 2*n + 15).\nAnswer: 175*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 10. Let u = 127 + -122. Sort c, u, -1 in decreasing order.\nAnswer: c, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20623145 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + -210120111120?\nAnswer: -210120120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.8 (b) 3 (c) 0 (d) 73 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i. Let p(s) = s**2 + s - 18. Let q be p(-6). Let k(t) be the first derivative of -568*t**2 + 8 + q + 595*t**2. Determine k(c(w)).\nAnswer: 108*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4)\/(640\/746)) + (-6)\/10.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-66))\/(6\/(-18))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 36*b**2 + 3*b**3 + 12*b - 5*b**3 - 17 - 17*b**2 - 15*b**2. Is t(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 1783, 1593, 1403?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 14*z + 1. Determine o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 92\/8 - (8 - 2158\/(-52))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30*r**3 - 5*r**2 - 48*r - 4. Let d(u) = -61*u**3 + 9*u**2 + 95*u + 7. Let s(i) = 7*b(i) + 4*d(i). Find the second derivative of s(v) wrt v.\nAnswer: -204*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/120 - i**5\/10 + 7*i**4\/24 + 3*i**3\/2 + 14*i**2. Let b be p(-7). Let g = 19 - b. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 1 - sqrt(539) - ((sqrt(11) - (sqrt(11) - (2 + sqrt(11)))) + 0))**2*3.\nAnswer: 6*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 2, e: 1}. What is prob of sequence ekw?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 = 3*s, -5*s + 2 = 12. Let j(d) = -60*d**3 + 4*d**2 + 9*d + 4. Is j(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9 = -g, 5*c = -g - g + 8. Suppose -c*i + 6 + 9 = h, 8 = 2*i. Let f = 6 + -3. Solve 0 = -3*r - 15, 3*r - h*r = f*o + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004794770958 to six decimal places.\nAnswer: -0.000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46667056 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20) + 1\/80*-92)*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3874, 7201, 9972, 12187?\n\"Answer: -278*u**2 + 4161*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r**(2\/23)*r)*r*r*r))\/(r*r**(-5\/2)*r*r))\/((r\/(r*r**(-3\/2)*r))\/(r*r**(-7)*r)))**42)**(4\/17) assuming r is positive.\nAnswer: r**(-30576\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 20\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - 1 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30900 is divided by 2565?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6910992 from -7.\nAnswer: -7.6910992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 89 = -5*o, -2*o = -0*m - 4*m + 110. Suppose 3*a + 3 = -5*r, 5*a = -5*r + r + 8. Solve -3*s = -a*x + 19, -m = 5*s + 5*x - 8*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134\/169 or 2?\nAnswer: 134\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1710 - -637. Let q = -121251\/113 - d. Let f = q + -4046\/1243. What is the common denominator of f and 6\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 129\/2. Put 4, -0.7, c in descending order.\nAnswer: 4, -0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-22)\/(k**(-13\/2)\/k)*(k*k**(-23))\/((k\/(k\/k**(25\/4)))\/k*k) assuming k is positive.\nAnswer: k**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - 372\/52 - -4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 1. Let v(t) = -t + 1. Let y = -47 - -53. Calculate y*x(i) - 7*v(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 26 + 4. Let n = -5 - t. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 + 3*t**2 + 20*t**3 - 177 - 2*t - 21*t**3 to w*t**3 + o*t + u*t**2 + q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -192, -379, -640?\n\"Answer: -37*o**2 - 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13345\/711596 + 2\/4339. Let m = -2905\/6396 - i. What is the common denominator of 101\/24 and m?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, 556 in descending order.\nAnswer: 556, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/150*-1*(26 - 0). Suppose 0 = -26*r + 22*r - q + 16, 0 = -r + q - 1. Is r at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8*z + 1228, -400 - 813 = 4*h - 5*z. Let s = 296 + h. Which is the smallest value? (a) 0.1 (b) 9 (c) s (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220250 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(40\/(-6020)*7)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-1413*k**4 + 401*k**4 + 1942 + 2*k**3 - 1942).\nAnswer: 1012*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -40*y + 85. Let q be c(2). Solve -4*j - b - 4 = 0, j + q*b - 10 + 30 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233258674 - -233258673.00000007. Let p = 0.2 + 0.8. Let i = b + p. What is i rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 210*i**2 - 214*i**2 - 2*i**3 as n + v*i**3 + d*i**2 + f*i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 64752*t + 349401792.\nAnswer: 3*(t + 10792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516 + 548. What is the remainder when 41 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 90.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182892 and 77316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119009, 27, -2, -4, 1, 4 in descending order.\nAnswer: 119009, 27, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, h: 2}. Give prob of sequence hh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + (2*sqrt(288) + sqrt(288) - sqrt(288)) - (sqrt(288)*-2 + 3))**2 + -2.\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 41.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 584220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340.2 - -340. Sort j, 5, -4, -0.057 in descending order.\nAnswer: 5, -0.057, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 145 - 5*h - 20*h**4 - 2*h**2 + 49 + h**3 + 46 as b*h**3 + w*h + o*h**2 + q + u*h**4 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 65. Determine z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243211 is divided by 11559?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - x - 2. Suppose -2 = -c + 3*p - 6*p, 4*c = 2*p + 64. Suppose 3*t + 12 = 0, 2*t = -2*d - d - c. Give l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 105, 111, 119?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 0.14. Let o = -3.2 - m. Which is the smallest value? (a) -1\/2 (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n - 26. Let y = -41175 - -41301. What is the remainder when y is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/(42\/(-210))*-22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/552 and 95\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 3*c**3 + (1 - 2*c - 1)*(0*c**2 - 2*c**2 + 4*c**2) + 146*c**3 - 258*c**3 + 155*c**3.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 - 553 - 807 = -65*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -2b948?\nAnswer: -2b94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4839.93405 minutes?\nAnswer: 0.4801521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - 4) - (-594 + 585)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -176, -119, 0, 12, 2.\nAnswer: -176, -119, 0, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 8. Suppose 0 = y*q - 4792 - 19608. What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {m: 3, b: 2, t: 4, n: 2, i: 3, h: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4548084, 4548126, 4548168, 4548210, 4548252, 4548294?\nAnswer: 4548336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in 4, -2\/81, 48?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966663184 to the nearest integer?\nAnswer: 31091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 - 24 = 27*p. What is the greatest common divisor of 48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let b(o) = -4 + 4*o**4 + 5*o**2 + o**4 - 3*o**m. Let a(y) = -y**4 + 1. Let p(k) = 4*a(k) + b(k). What is the third derivative of p(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223312302 + -112?\nAnswer: -223313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-1 + -3) - -7. Solve h*g = 2*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 - -427. Let r = j + -124.8. Round r to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 6*l - 9. Let k be n(7). Let o be -17*((-111)\/(-15) + k\/5). Round o to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 7, f: 4, k: 2, x: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, -75, -4, -34, 8.\nAnswer: -75, -34, -5, -4, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 6*p)*(678 - 678 - 102*p**2).\nAnswer: 204*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from wwwwwfwfww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - -197. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**4 + 60*a**3 - 108*a**2 + 105*a - 24. Let r(t) = -2*t**4 - 15*t**3 + 27*t**2 - 26*t + 6. Let p(n) = -21*r(n) - 5*w(n). Factor p(k).\nAnswer: -3*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 19050\/79?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-1680)*(-170)\/1224.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2. Let l(q) = 5214697*q. Calculate l(y(a)).\nAnswer: -41717576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.76 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let v(m) = -77*m + 2. What is v(g(k))?\nAnswer: -77*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00163765 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - k - 15. Let b be a(6). Suppose g + 4*g - 3*m = b, -47 = -g + m. What is the highest common factor of 480 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 - i. Let c(k) = 5*k**3 + 4*k**2 + 2*k - 13. Give -c(q) - 2*m(q).\nAnswer: -3*q**3 - 2*q**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**3 - 3*k - 2. What is the least common multiple of 24 and d(2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 3*o - 44. Suppose s = 106*r - 104*r, 0 = -4*r + s. Sort 47, r, o, 5 in ascending order.\nAnswer: o, r, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67961729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 19*m + 53\/20*m**5 + 53\/6*m**3 - 1 + 1\/6*m**4 + 0*m**2. Find the second derivative of i(d) wrt d.\nAnswer: 318*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291486163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 249 - 279 = 0. Suppose -3*q = 2*v - 240, 4*q - 290 = -5*v + 30. What is the remainder when q is divided by -3 + o*2*1\/(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 + 228*i**3 + 6 + 301*i**3.\nAnswer: 529*i**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/30 + 16*j**2 - 3. Let q(i) = -80*i. Determine q(c(d)).\nAnswer: -160*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 18*g - 15. Let t be i(1). Suppose 0*w = -5*m - t*w + 12, -5*m = -w + 4. Solve m = -2*s - 2*h - 6, 3*s + 2*h + 19 = 4*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377 = 100*u + 25*u - 2377 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635082413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -12 + 12 + (2 - 9) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/2)\/(-1)*6. Let b = q + 30. Suppose -w = 3*d - 346, 2*d = -b*d + 3*w + 586. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 15. Suppose 0 = b + p. Let k be -3199996 + b + 2 + -1. Round k to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9949 + 15026. What are the prime factors of j?\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (586160\/918)\/20 - (-1152)\/(-36)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 201.\nAnswer: 16\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3015628407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 136 = -4*z, 3*z + 2*x - 5*x - 93 = 0. Is (z\/4)\/((-2)\/(-8)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2413555 (base 9) to base 8\nAnswer: -4773171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100011 - 1220?\nAnswer: -102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*k**2 + 1383 - 1383 - 2455*k + 2455*k.\nAnswer: 258*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7398.447ug to kilograms.\nAnswer: 0.000007398447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**2 + 13*s**2 - 8*s**2 + (9*s - s - 20*s)*(11*s + 10*s + 166*s).\nAnswer: -2250*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 6*k - 7. Let f be r(-3). Suppose 4*m + 110 = 2*l, l + f*l - 171 = 4*m. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -944 and -6?\nAnswer: 5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -1121021010011?\nAnswer: 1121021002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -55. Let d be 1*1\/c - (-4072)\/14. Suppose 5*t = -4*z + 301, 4*z + 0*z = -3*t + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) 15 (c) -9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/155 and 59\/3255.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39854 - 7373 = 4365*i + 638 - 24902 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/10)\/((-6)\/20). Suppose d = 5*h - 6. Let f be -2*(2 - 7\/h). Solve 0 = -5*p + 23 - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 7 = 252 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = 54 - 429. Solve -u = 4*u - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -2. Suppose -y*t - 4*v = -58, -5*t - v = 4*v - 120. Suppose -4*b + t - 3 = 0. Put 0, b, -4 in decreasing order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 8 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 8*k + 18. Let t(z) = -1. What is 2*i(u) + 36*t(u)?\nAnswer: 4*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a + 3. Let f be (-22 + 0)\/(((-33)\/(-12))\/11). Let j(o) = -231*o - 88. What is f*l(t) - 3*j(t)?\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03203, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, -0.03203, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49098883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 76 = -16. Calculate the least common multiple of a and 1490\/75 + 10\/75.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 6.\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/6 - 73*k**2\/2 + 217*k + 2. Let p(c) = c. Give f(p(n)).\nAnswer: -n - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45 + 3*b - 376*b**2 - 14 - 659*b**2 wrt b.\nAnswer: -2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58951313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*d + 15, -w + 6*d + 15 = d. Solve w = v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 2482*g**2 - 1243*g**2 - 1239*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*z = 4*v + 1108*z + 15, -v = -4*z + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6*l - 6. Let s(z) be the second derivative of 13\/2*z**2 + 13\/6*z**3 + 3\/10*z**5 + 22*z + 0 + 0*z**4. What is 6*s(m) + 13*u(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372262433*n**3 + 717673171*n**2 wrt n?\nAnswer: 2233574598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)*s*s*s)\/s**7)\/((s\/(s\/(s\/(s\/s**(-2\/5))))*s)\/(s\/(s**(1\/6)\/s)*s)))\/((s**1\/s)\/((s*(s*s*s**5)\/s)\/s))**(-4\/7) assuming s is positive.\nAnswer: s**(-1931\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -711 + 712. Sort 5, n, -3, -13 in decreasing order.\nAnswer: 5, n, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvryyynvngzzrrvyyyy. What is prob of picking 1 r and 1 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 189 - g**2 + 2*g**2 - 3*g**3 - 98.\nAnswer: -3*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((21\/(-4))\/(-7)). Suppose u*w = 3*l + 19, 37 = 7*w - 3*w + 3*l. Suppose -4*i - i = -15. Calculate the least common multiple of i and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 2, d: 7, y: 4, o: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-10) - (-4)\/(-10). Suppose -m = -b - 1. Solve 0 = -b*a - 0*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 32432?\nAnswer: 32420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let m(h) = -5851*h + 2. What is a(m(s))?\nAnswer: -34234201*s**2 + 23404*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7897 - 2?\nAnswer: -7899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 12*j**2 - 12*j + 1. Calculate the lowest common multiple of s(-11) and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110001101 + 10?\nAnswer: 1100110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64128 by 5344.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -17*o**3\/6 + 2*o**2 - 114*o - 3. Let g(i) = 4*i. Determine d(g(h)).\nAnswer: -68*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2473, -4850, -7227, -9604?\n\"Answer: -2377*i - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - (3 + -3 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -23. What is the remainder when 5\/10 - (12168\/16)\/(-9) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977821554 a multiple of 4918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 52*p + 528. What is c(-17)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 230691\/4109 - (-4)\/21. Factor -26\/3*n + t + 1\/3*n**2.\nAnswer: (n - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4302567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkfm when four letters picked without replacement from {m: 2, n: 1, k: 2, p: 1, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + g**2 - g - 1. What is s(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 - 52\/26. Let i(g) = 2*g**2 + 2*g - 1. Let p be i(-2). List the prime factors of (-19)\/k - 1\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2320 and 43761.\nAnswer: 3500880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose -36 = -w*a - 4*q, -4*q = 5*a - 2*q - 74. Does 25 divide 352\/a + (-1)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-1)*(-4772)\/(-1193)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 7. Let d = 13 + -19. Let i be z(d). Let u(f) = 90*f - 3238. Let p be u(36). What is the biggest value in 0.1, 0.08, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0. Let k = -1.4867 - -1.0404. Let n = k + 0.0463. Which is the nearest to 2? (a) w (b) 3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from jlponojolowp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2\/9 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*v = -604*v - 11844 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27808 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d + 44242 - 21*d + 71*d - 24*d.\nAnswer: 3*d + 44242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 8*x + 21. Let z be f(-7). Let s = 19 - z. Solve 5*c + 35 = -s*a, 2*c + 3 = -7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, h: 3, g: 1, s: 6}. What is prob of picking 1 s, 1 c, and 1 h?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36064.3 + 36064. Which is the closest to 0.01? (a) -3 (b) 0.1 (c) h (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + 2*f. Suppose 4*q - 6*q = 0. Suppose -2*v + 0*v + 4 = q. Calculate l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1926 - 7764 = 184*r - 122 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-10)\/5) - -1. Suppose -76 = u - l*u. Suppose u - 34 = 2*j. Solve -3*c + 3*z = -27, 2*c = -j*c + z + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 + 326. Let q = a - 72. Let r = -12 + q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-6 + 13 + -3 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 42*o**2 - 84*o - 31. Let q be k(39). Suppose -29*z = -513 - q. What is the remainder when 86 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342*r**2 - 836*r wrt r.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-5)\/2)\/(-1). What is the biggest value in j, -3\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 42 - 172 - p to w*p + q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11 - 12 + 4 - 2*q. Let y(h) be the first derivative of h**2 + 3794. What is y(n(m))?\nAnswer: -4*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 + 3*m - 6. Let f be h(-6). Suppose 7*s - 6*s = 4. Let o be 1\/2 - s\/f. Which is greater: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20682881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184660, 184653, 184642, 184627, 184608, 184585, 184558?\n\"Answer: -2*v**2 - v + 184663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2960763*i*s**3 - 3*i*s**2 + 149*i - 3578*s wrt s?\nAnswer: -17764578*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 4*u**2 - u**2 - 4*u**2 + 3*u**2 - 10*u**3.\nAnswer: -7*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 693 and 4776255?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 5*b + 43 = -64*n, n + 2*b = -19. Let p(r) = -r**2 - 10*r + 1. Determine p(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - -57) + (0 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1344)\/30)\/14*(-25)\/(-10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10964 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/18*-4*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 6)*(6 - 2*z - 4 - 1)*(6*z + 6*z - 8*z).\nAnswer: -120*z**2 + 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 2, 0.\nAnswer: -5, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 520*j - 258*j + 23*j**2 - 258*j + (0*j - 4*j + j)*(-3*j + j + 3*j).\nAnswer: 20*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 317 + -163. Let m = 158 - i. Let p(z) = -3*z - 3. Let s(l) = l**3 - 4*l - 4. Calculate m*p(k) - 3*s(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, -2853?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 32*q**2 + 15*q + 8. Calculate f(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let f(d) = d**3 + 9*d**2 - 56*d - 32. Let q be f(-13). Calculate the greatest common divisor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 29*h + 56. Let j = -14 - h. What is the remainder when 39 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.36 + -0.06. Let c = -3\/397 - -845\/6749. Let v be 2*(1\/10)\/1. Put v, o, c in increasing order.\nAnswer: c, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6 + (3 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 + 2*p**2)*(-24 + 7 + 11)*(3 - 3*p - 3).\nAnswer: 54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 260291787 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:10 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*m + 1987 + 2745 = -21356 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4992 and 40623360.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 + 16*u + 0*u**3 + 3*u**3 - 6 + 19. Let l(c) = 39*c**2 + 115*c + 1. Let a be l(-3). Let s(k) = -4*k**3 - 11*k - 9. Give a*s(q) + 5*t(q).\nAnswer: 2*q**3 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 135*c**2 - 1491*c. Let w(u) = -67*u**2 + 746*u. Let d(x) = -3*l(x) - 5*w(x). Find the second derivative of d(m) wrt m.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 20 = 5*y. Let x(m) = 4*m - 19. Let s be x(y). What is the fourth biggest value in 2\/13, -2\/7, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akqdjgj. What is prob of picking 1 g and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**2\/2 + 6. Let t(g) = g**3 + g - 3. Let q(p) = t(p) + 3*z(p). Give q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**4*i))\/i*i*i**(3\/5)\/i*i**(-6)*i\/i**(-1))**(-24))**(-2\/35) assuming i is positive.\nAnswer: i**(-288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/(i**4\/i))**(9\/10))**8 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -86\/5, 0.2, 0, -1, -5, 4\/3?\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 107, 154, 201, 248, 295?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, k: 3, n: 4}. What is prob of picking 2 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 586953.8 weeks?\nAnswer: 354989658240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)*k\/(k**4\/k))\/(k**0*k)**(2\/63) assuming k is positive.\nAnswer: k**(-577\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 3*a**3 + 2*a**3)*(-74 - 32*a + 74 + (-3 + 5 - 4)*(-3 - 3 + 3)*(2*a + 0*a - 3*a)).\nAnswer: -38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1741 - -1744. What is the remainder when 39 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/4 (b) 4 (c) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + l + 480. Calculate the remainder when 58 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.66 + -21.66. Put j, -0.2, 0 in decreasing order.\nAnswer: 0, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25634, 25751, 25942, 26207?\nAnswer: 26546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11))**(-5\/2)\/(n**(-2)\/((n**(-3)\/n)\/n)))\/(n\/(n**(-1)*n)*n**3*n*n**(1\/3)*n**(1\/3)) assuming n is positive.\nAnswer: n**(-271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 25*s + 4. Does 10 divide 11 - -3*s\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f**5\/7 - 1192*f**4\/7 + 8420*f**3\/7 - 1976*f**2\/7 - 1200*f + 3168\/7 = 0. What is f?\nAnswer: -66, -1, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21\/5 (b) 65 (c) 1.8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**6\/40 + 3*q**5\/20 - 3*q**4\/8 + q**3\/2 - 3*q**2\/8 - 5*q. Find s, given that w(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -23*o + 11916. List the prime factors of o.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*v - 3. Suppose 2*b + v = 4. Let l be b + -1 + (-3)\/5. What is the third smallest value in -2\/3, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/11)*b*b**(-4\/7)*b**(-4)\/b**(-6\/7))**(-2\/35) assuming b is positive.\nAnswer: b**(362\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/44*(-12 - (-950)\/75).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:09 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 7 - 17. Suppose -c*y = -y - 12. Suppose 2 + 10 = y*g. What is the greatest common factor of g and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c7 (base 13) to base 9\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 117 = 4*h - 5*v - 48, 4*v + 6 = -6*h - 126 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11334330 + -3214?\nAnswer: -11343044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 = -19. Suppose -15*j = -y*j + 49. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose s + 42 = g*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.09, 0.01, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2204103 (base 5) to base 3.\nAnswer: -1221011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -26*o - 11. Let k(n) = -4 - 252*n - 251*n + 494*n. What is -6*c(j) + 17*k(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.3 and 11714.60985?\nAnswer: 11712.30985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*p**2 + 12*p**2 + 12*p - 33*p**2 - 10*p in the form z*p + a + r*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + n - 5 = 0, 0 = 2*n + 2*n - 12. Let y be (-22)\/33*(-9)\/v. Sort -5, y, 6 in ascending order.\nAnswer: -5, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -220 (c) -220\/1833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, x: 6, v: 1, o: 2, l: 2}. Give prob of picking 1 l, 2 o, and 1 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3\/364, 2 in increasing order.\nAnswer: -3, 3\/364, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = -2*g + t, -5*t + 10 = 0. Let w be ((-18)\/(-15))\/(-4 + (-42)\/g). Calculate the greatest common factor of w and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -452, -567, -728, -935, -1188?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3 - 7*y**3 - 4*y + 2*y**3 - 1 + 4*y**2. Suppose 0 = -2*t + 5 - 13. Let d(o) = -6*o**3 + 5*o**2 - 5*o - 5. Determine t*d(f) + 5*h(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 891*o**2 + 832*o. Let v(a) = -896*a**2 - 832*a. Let q(m) = -5*u(m) - 6*v(m). What is the second derivative of q(w) wrt w?\nAnswer: 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - j - 16 = 0, -26 = 2*w - 19*j + 24*j. Let v(y) = 25*y**2 - 21*y - 63. Is v(w) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442937404 divided by 25207\nAnswer: 17572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102635 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 306643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5 + 50*s**4 + 894*s**3 - 3410*s**2 - 9292*s - 5040 = 0?\nAnswer: -14, -1, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 1. Let i be o(0). Suppose -1 = -3*x + 2. Is x less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 - 8*g**3\/3 - 4*g**2 + 3*g + 3. Let v be f(9). What is the units digit of v\/7 + (-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 112?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10*c = 12*c - 546430. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -3 + 0 + 274215762. Let z = -12613363509\/46 + y. Let f = z - 12210. What is the common denominator of -109\/18 and f?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2*s**6\/15 - s**3\/2 - 5*s - 1. Let d(j) be the first derivative of h(j). Find the second derivative of d(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8509 + -4671. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 8 = 10*y. Suppose 5*s = -10, 2 = -y*q + q - s. Solve -2*w = -0*w - 3*r + 8, w - 3*r + 7 = q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 162, 498, 1172, 2304, 4014, 6422, 9648?\nAnswer: 13812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - v**3 - v**2 - v. Let a(h) = -h. Let q = -29 + 28. Let i(p) = q*j(p) + a(p). Give i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**4 - 6364*k**3 - 27227748*k**2 - 16931698036*k + 16958932144 = 0.\nAnswer: -1067, 1, 3724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)\/(4*(-1)\/(-112)). Let x be 2 - (p\/7)\/(1*-2). Suppose x = 3*o - f - 12, 22 = 5*o + 5*f - 6*f. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-192)*(-21 + 33) + 230\/28\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406691*m**2 + 813259*m**2 - 406578*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16506280.\nAnswer: 2, 5, 7, 167, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7698, 2, 0, 3, -31 in descending order.\nAnswer: 7698, 3, 2, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -559653 * -18\nAnswer: 10073754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/9 - -2)\/((-48)\/792) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 11*r + 10. What is z(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*g**3 + 346*g**3 - 1 - 31*g**2 - 682*g**3 - 66*g**2.\nAnswer: 33*g**3 - 97*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.9. Let x be -1 - -1 - 196\/130. Let o = x - -30\/13. What is the second smallest value in -5, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 103*x = -100*x + 18, 5*x = -10. Calculate the remainder when 13 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203646 + 412387. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 11*w + 1. Calculate c(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*t = -18, 2*f = 2*t + 11 + 3. Suppose 2*p + 66 = f*p. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. What is the first derivative of -c + c + 2*c**y + 3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q + 56. Suppose 1 = 8*p + 1. What is the lowest common multiple of 12 and r(p)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgccgcg. Give prob of sequence ggcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - 3) + (1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49148*s*w**4 - s*w**3 - 11*s*w**2 - 2*s*w + 2*s + w**4 + 2*w + 123 wrt w.\nAnswer: -1179552*s*w - 6*s + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 0.4, -1222.676, -3 in descending order.\nAnswer: 4, 0.4, -3, -7, -1222.676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/24)\/((-3)\/12*21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 21*m**6\/4 + 106*m**5\/15 - 559*m**2. Find the third derivative of f(o) wrt o.\nAnswer: 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4981463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/495 + -2\/55. Let q = -562 + 561. Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -4\/617?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11904)\/256*72\/36?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16561 + -14287. What is the remainder when 4562 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*-18*((-165)\/(-45))\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 517 - 514. Solve -8*c - 17 = -b*d - 4*c, -3*d = -5*c - 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50059482 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose 0 = -f - n - 10, 0 = 4*f - 3*n - n + 72. Let w be (-5)\/(-7) - 4\/f. Solve a = -3*x - w - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/14841 or 0?\nAnswer: 20\/14841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 56 = 16*y. Suppose -16 - 12 = -y*d. Let x(g) = -2*g**2 - 1 + 42*g**3 + 0 - 41*g**3 + 0*g**d + 2*g. Give x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 + 120*q**3 - 992*q**2 + 2304*q = 0.\nAnswer: 0, 4, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2 = -4*j, b + 3 = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-90340*o**2 + 31247*o**2 + 31324*o**2 + 31547*o**2).\nAnswer: 7556*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*a - 10, -25*a = -27*a - 2*w - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**0*p))**(-35)*(((p\/p**(-1\/2))\/p)\/p*p*p)\/(p*p**(3\/2)*p*p))**(2\/5))**(-1\/30) assuming p is positive.\nAnswer: p**(1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 298?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*h**2*i**2 - 19*h**2 - 5*h*i wrt i.\nAnswer: -432*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k + 0*k + k**2 + 14 + 0*k**2 + 0*k. Let x be c(0). Solve 3*i + i + x = a, -3*a - 4*i - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 5*z**2 - 155 + 155 + 12*z in the form o*z + c*z**2 + s and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 408 + -739. Let a be (-6)\/21 - u\/(-336). Let h = a - 1\/16. What is the smallest value in h, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 6 = -4*t, -4*r - 24 = -4*t. Let p(h) = 2*h + 2*h**t - 2*h - 5*h**2 - h**3 - 6 - 4*h. Let l be p(6). Is l equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 0*m)*(1 - 1 + 4*m) + m**2 - 4*m + 4*m + (4 - 4 - m)*(-1 - m + 1) - m + m - m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*x + 2. Let v(q) = q**3 + 9*q**2 - 11*q - 11. Let a be v(-10). Sort a, x, -2 in decreasing order.\nAnswer: a, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 65 = 0. Let i be 1\/k*(-2 - 0). Which is the closest to -1? (a) 0.4 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b - 88. Let p be s(7). What is the nearest to 0 in 0, 0.2, -10, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 56*m**3 + 4*m**2 + 48*m - 92. Determine g(2).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023805516 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q**(-2\/25))**(-5\/4)*(q**(2\/25)\/q**0)**(-4\/3) assuming q is positive.\nAnswer: q**(121\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5032 rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 9*f**2 - 16*f + 37. Let z(m) = -1204*m + 8438. Let n be z(7). Calculate o(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -23*t**3\/3 - 3. Let p(g) = -3*g. Calculate p(j(s)).\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*v + 4779 - 5159 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + a. Suppose 4*r = 12 - 48. Let s be (6\/(-9))\/((-6)\/r). Calculate h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjjbzjjz. What is prob of sequence jjjb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47797853800 rounded to the nearest one million?\nAnswer: 47798000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5042*r + 8162989. Determine q(1619).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, -154, -295, -492, -745, -1054, -1419?\n\"Answer: -28*v**2 - v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3140764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-2) - (-10 - -23) - (88\/(-16))\/(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from fffnnnnnnnnnfnnnnnn.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 1091 = -709. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -22*(3\/(-2) - -2). Let g be (u + 14)\/(2\/6). Suppose 4*v + 442 = -0*q + 5*q, -3*q = 5*v - 280. Calculate the greatest common divisor of q and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17771952 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*b*u**2 - b*u*y + 97*b*u + 3*u**2*y wrt u?\nAnswer: 106*b + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j + 1764 = -32*j - 1124. Solve 4*c = 15*k - 12*k - j, -k = 5*c + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-475) + (-4)\/38. Suppose m = -25*f - 1186 + 8936. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(7\/5)\/(w\/w**(-35)))\/(w**(-11\/5)\/w*w**(-17)))**(1\/40) assuming w is positive.\nAnswer: w**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*q = 15, -7*m = -11*m + 5*q + 20. Solve 0 = -m*u + 4 - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -364\/9301?\nAnswer: -364\/9301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c**(2\/15))\/(c**(2\/15)\/c**(-2\/7))*((c*c*c\/((c\/(c\/(c**(-3\/7)*c)))\/c)*c)\/c*c\/((c*c\/c**0*c)\/c))\/(c**6*c**7) assuming c is positive.\nAnswer: c**(-853\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 3. Let w(t) = -17*t - 9. Let m(o) = 8*i(o) + 3*w(o). Let x(a) be the second derivative of 2*a**2 - 7*a + 0 + 2\/3*a**3. What is 3*m(d) + 2*x(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23653433?\nAnswer: 41, 359, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 21\/5)\/((-32)\/(-80)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24*f + 110 = 0. Let z = 29 - 14. What is the remainder when z is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -208020595\nAnswer: 3\/208020595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*d - 189 = -2*j, 4*d - 235 = -5*j. Calculate the highest common factor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1)*1*((-19840)\/(-62))\/160?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3 = 1, 3*m = -1325*t + 1322*t - 42 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 0.1 (c) -2 (d) -4 (e) 50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2 = 5*i. Let x = 5 - i. Solve 0 = -2*o + x*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 35. Let a be o\/4 - 425\/20. Let d = a + 25. Calculate the highest common factor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 88*k + 0*k**2 + 88*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v + 1. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 1013868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61434*p**6 + 61659*p**6 + 30*p**2 - 5*p**2 wrt p.\nAnswer: 27000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4967 - 8252*l**3 + 5920*l**3 + 1957 - 4912 wrt l?\nAnswer: -6996*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -4*j**3\/15 - 2*j**2\/5 + 48*j\/5 + 7. Determine m, given that x(m) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-12))\/((-2)\/(-4))*-1. Sort h, 75, 0 in descending order.\nAnswer: 75, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 231*q**2\/2 - 17787*q\/2 + 456533\/2.\nAnswer: -(q - 77)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 329*g + 13354. Determine o(365).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3494*l**3 + 1104*l wrt l?\nAnswer: 20964*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002217175 to seven dps.\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 1. Suppose 0*z**2 - z**n - 2*z + 0*z - z**2 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81542*a*u**6 + 40*a*u**3 - 6675051*a*u - u**2 wrt u?\nAnswer: 9785040*a*u**3 + 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-2))\/(16 - (-1888)\/(-128))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 22*c - 3990 = 0. Suppose -c = -17*p + 31. Solve 21 = -4*w + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -2\/37, -0.5, -4\/57, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -757, -2838, -6243, -10978, -17049, -24462?\n\"Answer: -c**3 - 656*c**2 - 106*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 331? (a) -5 (b) 2\/5 (c) 0.2 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174669981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (39 - -17) - 21?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11032046663 - -2?\nAnswer: -11032046661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14608 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a76d (base 15) in base 3?\nAnswer: -1222020111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 27*q - 98. What is d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 - 1. Suppose -5*y - 11 = o - 171, -3*y + 78 = -3*o. Let k(f) = y*f - 73*f + 37*f. Determine q(k(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2dbb (base 14) to base 12.\nAnswer: -48b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2659, 1651, 643?\n\"Answer: -1008*x + 3667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 25. Suppose 19*v + 134 = 20*v. What is the smallest common multiple of j and v?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 251, 571, 1019, 1595?\n\"Answer: 64*w**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 2. Let z be (-90)\/25 + (-3)\/(-5). Let o be q(z). Solve -m + 5*w = o, -w = -2*m - 4*w - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40077 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyycmmymymyycyy. Give prob of picking 3 y and 1 m.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + u = -28 - 3, -62 = -2*w - 4*u. Solve 3*z - 12 = 4*q, 11 = -5*z - 2*q + w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 2958*p + 2 + 2958*p + 9*p**3 - p**4 - 6*p**3 + 2*p**2 to the form z*p**3 + t*p**2 + c*p + l*p**4 + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1212423724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248088 is divided by 12999.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8365\/6 + 4184\/3. Find n, given that -1\/4*n**5 - n**2 + b*n**4 - 1\/4*n + 1\/2 + 1\/2*n**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2300068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 25 + 7 = 0. Calculate the lowest common multiple of u and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000689 rounded to 7 dps?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16088 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1217895, 4871581, 10961059, 19486329, 30447391?\n\"Answer: 1217896*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40269111 is divided by 391?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1457, 1452, 1445, 1436, 1425?\n\"Answer: -g**2 - 2*g + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2099474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 4 = -5*u. Let m be ((-24)\/154)\/(u\/63). Determine p so that -2\/11*p + 8\/11*p**3 + 0 + m*p**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2 - (-7 - (-32)\/8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 - 175. What is the second derivative of 12*b**4 - 4*b**2 - 23*b**4 - 31*b + 10*b**4 + 2*b**v wrt b?\nAnswer: 12*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -228*z**3 + 7*z**2 - 2*z - 5. Let n be j(-8). Suppose -16*u = -u - n. Let c = u - 312493\/40. Find the common denominator of -31\/16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z + 0*z**3 + 1\/210*z**7 + 0 + 8*z**2 + 0*z**6 + 0*z**5 + 3\/8*z**4. What is the second derivative of f(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5938*h + 1025 = -5933*h. What is the remainder when h is divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10593012 and 7062008?\nAnswer: 21186024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*n + 556, 78*s + 360 = 80*s - 4*n. Solve 62 = 14*j + s for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x - 2. Determine z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35388074 - 205.\nAnswer: -205.35388074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1509, 3086, 4641, 6162, 7637, 9054?\n\"Answer: -2*h**3 + h**2 + 1588*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 + 3*d - 1. Let z be r(3). Suppose -5*j + 22 = -2*c, 3*c + 2*j - z = -3. Which is smaller: 2\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523 + -325?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121010 + 201122?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = -5*o, 0 = -2*j - 3*o - 2 - 2. Let y = j + 7. What is the second smallest value in -4\/3, -3, y?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 571?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-251)\/(-2510))\/(((-7)\/868)\/((-3)\/6)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4*8\/64)*6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114895167 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by -1851?\nAnswer: 226\/1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -39*a**3 - 2*a**2 - 3*a + 4. Let b be j(-4). Let m = 127520 + b. Round m to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + 4*x - 2*x**2 - 1678 + 4*x**2.\nAnswer: 2*x**2 + 4*x - 1440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 692, -2, 55 in decreasing order.\nAnswer: 692, 55, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 7*g - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:59 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160872504 by 4.\nAnswer: -40218126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from rhryyieqrheh?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21917 and 128247?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 divided by -495?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-15)\/(810\/27)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15528888 and 3672.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -9. Solve -l + 4*l - m = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3 - 61. Let u = q + -17. Which is smaller: -1\/19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 - 164. Calculate the remainder when 153 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0168? (a) -0.2 (b) 0.4 (c) -3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8357843 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**10\/1260 + w**6\/90 + w**3\/6 + w. Let t(x) be the second derivative of h(x). What is the third derivative of t(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 30 = -4*k, 673*k = 25*i + 675*k + 68 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102204 (base 5) to base 7.\nAnswer: -12666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rrrkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -603*k. Let q(i) = -4*i**2. Calculate q(n(l)).\nAnswer: -1454436*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/219 and -17\/1129059.\nAnswer: 82421307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 135\/24*(-27376)\/1711\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 - c - 12. Let d be s(0). What is the common denominator of 23\/3 and 139\/4 - (-9)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.3. Let j be 3\/((-2 - 0)\/(-2)). Let i be 2\/4*(-8)\/(-34). What is the closest to -2\/3 in j, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -188867*c**4 + 4*c**3 + 59889490.\nAnswer: -755468*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 72 + 63. Calculate the lowest common multiple of 6 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, g: 1, l: 3, j: 5, e: 1}. Give prob of sequence ry.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 + 8 = 2*q, -3*c = 5*q - 32. Let a be 38302\/104 + q\/(-16). Let l = a + -368. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17343)\/5076 - (110\/6)\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 67*x = 31*x + 31*x - 14, 0 = -2*n - 5*x - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/832512 and -77\/5120.\nAnswer: 4162560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 3*t + t**2 + 18*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**6\/6 - g**5\/2 + 10*g**4\/3 + 15*g**3 + 45*g**2\/2 - 52*g + 4. Let h(s) = 0. Calculate s.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1874 * -5.\nAnswer: -9370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/60550 and 52\/54779585.\nAnswer: 547795850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/15)\/(26\/(-195)). What is the tens digit of (w - 276)\/(5\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37802*x + 310 + 6278 - 37805*x as h + o*x and give h.\nAnswer: 6588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071502721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59880 divided by -30.\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (788*q - 319*q - 238*q)*(0 + 1 - 3)*(1 - 1 - 3) to the form z + o*q and give o.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41665 and 181?\nAnswer: 7541365","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*j + 3 + 5, 5*u = j - 29. Suppose -5*r + 2*y = -r - 10, 3*y - 13 = -r. Solve j*c - r = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -64 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -9 + (2 - 0) + (-24 - 32).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-44)*153*40\/(-420)*-14?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 511?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:37 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 6\/21. Suppose d = -3*o - 15, -5*t + 0*o + 65 = 4*o. Let l = t - 14. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101100 (base 2) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 57\/337 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 64*t**2 - 87*t - 486. What is the units digit of m(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83866 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 70. Let v be (-2 + 26\/x)\/((-18)\/(-450)). What is the derivative of 12 + v + 5 + 41*j**4 wrt j?\nAnswer: 164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 735.1562 weeks?\nAnswer: 444622469760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 + 18*m**2 + 13*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 3*i**4 + 0 + 1 - 2*i**3 + 6*i**4 - i as d*i + n*i**4 + x + u*i**3 + a*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 + 5*s. Let o be i(-4). Let c = -1 - -1. Let y(j) = -52*j - 4838. Let h be y(-93). Sort h, 4, o, c in increasing order.\nAnswer: o, h, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -748 + 410. Let v = -278 - p. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 - 2*d**3 - 13*d**4 - 5*d**3)*(44 + 92 - 30).\nAnswer: -1378*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.04732477\nAnswer: -0.014197431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37012, -37007, -37008, -37021, -37052, -37107, -37192, -37313?\n\"Answer: -d**3 + 3*d**2 + 3*d - 37017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1276 and -35\/10904.\nAnswer: 119944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1690485 or -1690487?\nAnswer: -1690487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/774 and 65\/3.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3 + k**2 - 2*k. What is the smallest common multiple of c(2) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 0.3091?\nAnswer: 1.6909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:38 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2. Let x(a) = a**2 + 3*a - 3. Let c(k) be the first derivative of 2*k**3\/3 + 5*k**2\/2 - 5*k - 9. Let t(o) = 3*c(o) - 5*x(o). Determine t(m(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, 20, 72, 144, 242, 372?\n\"Answer: f**3 + f**2 + 28*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 179*y**3 + 49*y**2 - 193*y + 11. Let n be g(5). Calculate the greatest common factor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) + (sqrt(10) - (sqrt(1440) - 3*sqrt(1440))) + sqrt(10) + sqrt(10)) - (-3*sqrt(1078))\/sqrt(2))**2.\nAnswer: 3816131\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -778.\nAnswer: -3890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m**2. Let w(f) = 331*f**2. Determine w(b(o)).\nAnswer: 95659*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197244 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -15*t + 435. What is the remainder when 34 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14356*r - 45*r**2 + 37*r**2 - 2037*r + 2.\nAnswer: -8*r**2 - 16393*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300393 by 4.\nAnswer: -300393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/27 and -17\/15048.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*c - x, 55 + 3 = 2*c - 2*x. Suppose 0 = c*i - 28*i + 164. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 1153358?\nAnswer: 6920148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 11*d**2 + 17*d - 7. Let p be s(-9). Let u(h) be the second derivative of 5*h + 1\/15*h**3 - 1\/30*h**4 + 0*h**p + 0. Factor u(q).\nAnswer: -2*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2795 - 16*a + 5583 + 8*a**2 - 2788 + 2*a**3 in the form j*a**2 + n*a + p + i*a**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14626.3 + 14627. What is the nearest to 0.4 in r, 4, -0.18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - 3*l)*(-5 - 4 - 5)*(4 - 5 - 4 - 3 + 2 - 1 + (1 + 2 - 5)*(-2 + 2 + 2) - 4 + 5 + 0).\nAnswer: -140*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 2. Suppose -p = w - 6*w - 16, 0 = w + 2*p + 1. Let t be s(w). Is 12 a factor of 0 + 0 - -2 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, r: 2}. Give prob of picking 4 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 831 = -79*p - 165 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 33.\nAnswer: -26\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 81*s - 79*s + 24, 2*s - 18 = -3*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*v = -40, 5*u + 3*v + 42 = -21. Let x be (-47)\/12 - u\/16. Let f = x + 5\/2. Is f at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/126 and -5\/1736.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzf when three letters picked without replacement from pjjcwppjzfc.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k. Let z(f) = -4808*f. Determine t(z(q)).\nAnswer: -62504*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -161.\nAnswer: 13\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21297.\nAnswer: 3, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, e: 11}. What is prob of sequence tt?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 555 or -1?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 568?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:11 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368610 < 368376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -432.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 67?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + 2*sqrt(1872) - sqrt(1872) - sqrt(1872))*1)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009355281 to five dps.\nAnswer: -0.00936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 1, c: 4, w: 3}. Give prob of picking 1 b and 3 c.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + -163. Suppose h*d - 6*d - 1158 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paawwnawnwey. Give prob of sequence we.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -2) + 3 + -3. Suppose f = p - 10. Find the second derivative of 6*d - p*d**3 + 2*d + 21*d**3 wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 36*t + 15. List the prime factors of q(6).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - 3*f)*(0 - 3 + 4) + 1117*f - 279*f + 1570*f.\nAnswer: 2407*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ann when three letters picked without replacement from {o: 4, y: 5, a: 4, n: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 43*h - 5. Let f(o) = 1440*o - 168. Let x = -1192 + 1024. Calculate x*j(u) + 5*f(u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (-2*sqrt(85)*4 + sqrt(85) + sqrt(85) + sqrt(85))\/(4*sqrt(10)\/sqrt(2)))*-4.\nAnswer: -30*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*-3 - (-1 - 1). Let k = 1199\/9 - 133. Which is the nearest to g? (a) 2\/7 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155 + 80 + 75 + 16*f in the form u*f + a and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + -34 + 7 + 28 + -59?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(6*c**5 + 8*c**5 + 8*c**5).\nAnswer: -22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.026 + 27. Let n = c + 0.02549. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + 3*h. Let t be r(-4). What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12)\/((-25)\/150). Solve -4*m = -8, 2*m - 10 = l*h - 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 2*s + 22 to q*s + k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m + 0 + 1 - 2 - 8*m + 28*m. Let j(b) = -4*b + 3. Let n(a) = 4*j(a) + 5*o(a). Calculate n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -779.927 rounded to the nearest integer?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 + 11 - 4\/(-10). Let x(j) be the first derivative of d*j**5 + 0*j + 0*j**4 + 1 + 1\/3*j**3 + 0*j**2. What is the third derivative of x(f) wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261.\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m. Let f(o) = 14*o**2 + 0 + 8*o + 10*o**2 + 4 - 19*o**2. Let z(l) = 30*l**2 + 50*l + 25. Let a(v) = -25*f(v) + 4*z(v). Give a(y(s)).\nAnswer: -5*s**4 - 10*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 8*q + 42 = 0. What is the tens digit of (-1980)\/q - (-6)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/80 and -53\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4 - 3*r**3 + 4*r**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/6 - (-75)\/(-90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 0*j**2 + 0*j**2)*(2*j - 3*j + 2*j) + 0*j**3 + j**3 + 0*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5045*i**5 + 12*i + 17?\nAnswer: 100900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l + 4. Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2\/5 (c) 7\/39 (d) 4 (e) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*t + 218 = 0, q = 2*t + 2*t + 59. Suppose 4*v - 3*w = 39, -6*v + 5*w + q = -v. Solve -9*a = -12*a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52346 - 1.\nAnswer: 52345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9662 - 9662 - 386*f**2 - 2*f**2 - 2*f**2 + 2*f**2 + (-f + 0*f + 2*f)*(3*f - f - 4*f) + 7*f**2 - 4*f**2 - 4*f**2.\nAnswer: -391*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1225 - -346. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(2\/(-4)). Suppose 62*t - 73*t = -33. What is the first derivative of 4 - 21*i**3 - 25 + 10*i**u + 9*i**t wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11289835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1ad7?\nAnswer: 1ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -3*w**7\/14 - 157*w**6\/20 - 3*w**5\/5 + 459*w**4\/8 - 59*w**3 - 39*w**2 + 2401*w. Find b such that n(b) = 0.\nAnswer: -26, -2, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5\/7 - 313*t**4\/7 - 1570*t**3\/7 - 2725*t**2\/7 - 1756*t\/7 - 292\/7 = 0. What is t?\nAnswer: -73, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m + 2*q - 141, -5*m + q + 132 = 0. Suppose 21 = 5*h + 3*w, 0*h = 2*h - 5*w - m. Let d = -2 + h. What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from cxqzcccclzvqccl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/3 + 16*p**4\/3 - 14*p**3 + 12*p**2.\nAnswer: -2*p**2*(p - 3)**2*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -x, -3*u + 9 = -6*u - 3*x. List the prime factors of 12*u\/(2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 37*m = -40*m + 16611, 5*d + 2*m - 41511 = 0. Round d to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -2. Suppose 0 = 3*l - 9, -r = -5*p - l + 7. Solve -a = -p*t + 3 + 4, 0 = -a - t + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 1394, 2073, 2752?\nAnswer: 3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162703143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -5*c + 3*l, c - 6 = -2*l. Let k be (63\/(-6) - -1)*c. Let n(f) = -51*f**2 - 24*f - 45. Let t be n(k). Round t to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - 3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-6)*y)*y*y\/y**4*y*(y**(-2\/3))**(4\/15) assuming y is positive.\nAnswer: y**(172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2132 = -30*o + 8402. Calculate the greatest common factor of o and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, 83397 in descending order.\nAnswer: 83397, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 - (4 - (3 - 13)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 + 7841 = 11*t. What are the prime factors of t?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-10 + 13) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166296 divided by 6929.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2564 + -2546. Let u(n) = -n**3 - 5*n**2 - 4*n. Let d be u(-3). Let l be ((-30)\/s + 1)\/(4\/d). Which is the nearest to -2? (a) 3 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**6 + 0*k**3 + 0 - 8\/3*k**4 + 25\/42*k**7 + 0*k**2 - 5*k + 0*k**5. What is the third derivative of l(b) wrt b?\nAnswer: 1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-8) + (-1)\/6 + (-667)\/(-24). Solve -5*j - b = y, 4*j + 4 = 5*j - 3*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.81? (a) 47\/5 (b) -1\/22 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*2\/4)\/(50\/(-180)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16187, 32278, 48279, 64190?\nAnswer: 80011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 7. Let h be b(3). Solve 5*a + h*u + 6 = 0, -9 = 3*a + 3*u - 0*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (50 - (79 + -51)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56333 (base 11) in base 8?\nAnswer: 237266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147.4 - -163. Let t = 0.36 - -16.64. Let v = f - t. Round v to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/((z*z**(-29\/3))\/z))\/z)\/z)*z*z)**(-1\/11)\/(z**(4\/7)\/z)**(4\/3) assuming z is positive.\nAnswer: z**(251\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-12)*(19 - 208\/13)*-188?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -123, -122, -121, -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1745 - -6858. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 4. Let g be s(4). Suppose g = -2*f - f. Suppose f*u - 2*u = -152000. What is u rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:23 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3 - 4*t)*(-219*t + 671*t + 580*t).\nAnswer: -4128*t**2 - 2064*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 2. Let s be 96\/(-15) - (-6)\/15. Give v(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*o - 89 = 0, -3*u + 53 = -0*o + 5*o. Let k be (-4)\/24*-3*u. Put -2, k, -1, 4 in descending order.\nAnswer: k, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2555 (b) 0.1 (c) -3107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299) + sqrt(2299)))*5) + (3*(sqrt(114)\/(sqrt(12)\/sqrt(2)) + sqrt(19)))**2)*4.\nAnswer: 484*sqrt(19) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:44 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 169, 176, 185, 196?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/250 and -29\/375.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggfgggf. Give prob of picking 2 f.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**6\/120 - s**5\/10 - 11*s**4\/24 - s**3 - 73*s**2\/2 + 120. Let p(g) be the second derivative of b(g). Factor p(z).\nAnswer: -(z + 1)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/1986471 and -167\/3870.\nAnswer: 19864710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000467 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(1\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -13\/2. Let k = -6831.2 + 6729.2. What is the nearest to -1 in i, -0.3, 1\/4, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46471233 smaller than -46471232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 3 (c) -336 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 0)\/(10*9\/(-180))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, x: 3, v: 7}. Give prob of sequence vzxx.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -547, -31 in descending order.\nAnswer: -12, -31, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 - 2*i**3 + 3*i**3 - 2*i**2 - 3*i + i to b*i**4 + y*i + h*i**3 + d + o*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 19460032*l\/5 + 23668302840064\/5.\nAnswer: 4*(l + 2432504)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 8 = 0. Let r = -1300 - -2170. Suppose -420 = f - 5*v, 46 = t*f - 2*v + r. Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.283\nAnswer: -0.0849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 110*h - 3425. Determine x(135).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(12\/17)\/m*m*m*m*m)\/m*m)\/(m\/m**(1\/27)))**(-17) assuming m is positive.\nAnswer: m**(-1718\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01551 - -512.01551. Which is bigger: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -43*k**3 - 3*k**2 - 1. Let b(w) = -14*w**3 - w**2. Calculate -8*b(h) + 3*o(h).\nAnswer: -17*h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 - (43 + -12 - (27 + 1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 43. Give k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5409?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -1056, -2323, -4064, -6267, -8920?\nAnswer: -12011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -628*i**3 - 250*i**4 + 628*i**3 + (-i**2 + i**2 + 3*i**2)*(-3 + 3 + i**2) as g + n*i**2 + v*i + u*i**4 + y*i**3 and give u.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67203?\nAnswer: 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -2*t**3\/3 + 2*t**2 + 3*t + 5. Let d be v(3). What is the hundreds digit of d - (209\/(-2) + (-3)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*k**4)*(-2 + 0 + 0 + (2 + 3 - 6)*(3 - 1 - 4) - 2 - 2 + 6 + (-1 + 3 + 0)*(-2 + 0 + 4)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -5, -3, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/2395085 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/12 - 1\/(-3). Let h = 168 - 93. Let k = 449\/6 - h. What is the third biggest value in j, 2, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4006*m - 59200 with respect to m.\nAnswer: 4006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 714 = 8*h + 826, 2*h = -5*p - 6 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1145073\/20 less than -57254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 19 - (-12 - -27) - (-6012)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1584)*-2 + sqrt(1584) + sqrt(1584))*1 + 3 + sqrt(1584)*2)*-2)**2.\nAnswer: 864*sqrt(11) + 25425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -10*r - 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 16*z - 20. Let s be x(-18). Suppose 20*u - s*u - 24 = 0. Calculate the remainder when 30 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((4\/5)\/4). Suppose -b + 4*b = z*r + 68, -r - 52 = -3*b. Let f = -11 - -19. What is the least common multiple of b and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -39?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/21)\/((-7240)\/(-15204)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 31 = 5*b - 8, -b + o = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 5)*(-1)\/(-2). Suppose -6 = -c*s + 15. Solve -5*t**3 - 4*t**3 + 3*t**5 + 7*t**2 - s*t**4 - 4*t**2 + 2*t**3 = 0 for t.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -274 + 725. Let s = 857 - z. List the prime factors of s.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 167773*b - 2 + 55905*b + 55921*b + 55947*b.\nAnswer: 9*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2554801 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 136\/7, 7 in increasing order.\nAnswer: -5, 7, 136\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6215899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224012 - -1?\nAnswer: 1224013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19417 - -7708553\/397. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {c: 4, z: 2, t: 4, p: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.041 (b) 4 (c) -216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 + 0*d + 4\/3*d**3 - 3\/8*d**4 + 270*d**2. Let b(f) = -8*f + 7. Give 6*b(n) - 5*y(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t - 2*t + 0*t)*(-2 - 3 + 4) + (2*t + 1 - 1)*(-3 + 1 + 0))*(-6*t + 4*t - 5*t).\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x + 58. Let u be c(6). What are the prime factors of (-3412)\/u + 16\/56?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -1\/42*v**7 + 0 + 3*v + 0*v**2 + 0*v**3 + 0*v**6 + 1\/12*v**4 + 0*v**5. Find the third derivative of d(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 36*r - 243. Calculate b(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**18)**(-48)\/(k*k**6)**(-3) assuming k is positive.\nAnswer: k**789","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -2*g**7\/21 + 13*g**6\/5 + 163*g**4\/6 - g**2\/2 - 3580*g. What is the third derivative of y(u) wrt u?\nAnswer: -240*u**2 + 1872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*p - 12, -1 - 3 = b - 3*p. Suppose -5*i + b = -i. Solve -i*r + 5 = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 602*l + 38674. Give m(-93).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1157224 (b) -1\/4 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 18. What is the units digit of ((-12)\/(-7))\/(x\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 7, d: 1, j: 4}. What is prob of sequence dy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-112)*-2)\/((-3)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 4. Let g be (-27)\/(-2) - 2\/(-4). Let i = -9 + g. Let o be u(i). Solve o*r + 9 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2273214397.9 - 119.66.\nAnswer: 2273214278.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 q when four letters picked without replacement from {s: 1, u: 1, f: 1, q: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 14*t**2 - 2*t + 1. Let b(g) = 2*g**2 - 3*g. Let l be b(2). Let v be z(l). What is the highest common divisor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219196290.\nAnswer: 2, 3, 5, 7306543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 10*o + 5. Let p be i(10). Suppose -4*s + 8 = 0, p*n - 2*s - 142 = -3*s. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14051.\nAnswer: 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-9) + (-2)\/9. Calculate the remainder when 5 is divided by 3\/o - 3\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/5 + 8*j**3 + 43*j**2 + 76*j + 204\/5 = 0.\nAnswer: -34, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 4. Let z(u) = 10*u - 20. Let l(c) = -28*a(c) + 6*z(c). Let n be l(7). Suppose -n = -3*i + 22. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442.19 to the nearest integer.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 7. Suppose g - 3 = -0. Suppose 2 = 4*k + 14. Sort k, g, z in ascending order.\nAnswer: z, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**2 + 13*k - 32. Let p be ((-10)\/3)\/((-110)\/132). What is the tens digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + -1 - (19 - 22))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -21)\/((-30)\/(-255)). Let r = x - -188. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200140111 (base 5) to base 12.\nAnswer: -31b476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.390014 - -0.39. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 16*s + 25. Determine h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2792 in 3, 1, -1.3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*g + 357*g - 63*g)*(86 - 56 - 55) - 2*g + 2*g - g.\nAnswer: -5376*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 3621*n**2 - 2919700*n.\nAnswer: n*(n - 679)*(n + 4300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 105*i + 6. Let t be d(3). Let z = t - 136. Let l be (74 - 0)*10\/20. Calculate the highest common factor of l and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18755111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 + 8*l - 8. Let z be j(-9). Suppose -5*w = 2*r + 23, -5*w - 2*r - 30 = -7*r. Let p = w - -8. Solve 4*v + p = -z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 + -230333?\nAnswer: -223302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312310203 (base 4) to base 3.\nAnswer: 102102000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b\/(b\/b**(-3))*(b\/(b*b\/(b\/(b\/(b\/(b*b\/(b*b*b*b*b**(-2)))*b)))))\/(b*b**2) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.1653 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 12*x - 30. Let y = -143 - -156. Give b(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -442579 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 - 106. Let g be (j\/(-35))\/((-2)\/7). Suppose -10 = p - g*p. Solve 3*a - 3 = -3*z, z + 4*a = p*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m**3 + 12*m**2 + 6*m + 6. Let b(o) = -o**2 + o + 1. Let l = 18 - 19. Let t(q) = l*u(q) + 6*b(q). What is the third derivative of t(c) wrt c?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, j: 7, m: 3, s: 2}. Give prob of picking 1 d, 1 m, and 2 j.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1370*y + 2912*y + 894*y**5 - 1455*y - 17 wrt y.\nAnswer: 17880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 6 - (-65 - -60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/180 - y**5\/90 - y**4\/36 + y**3\/9 - 10*y**2. Let x(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138032 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4212) + sqrt(2548)*4)\/(-1*sqrt(484) + -3*sqrt(64) + sqrt(4)).\nAnswer: -23*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 5 (c) 0.2 (d) -19\/5 (e) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585414300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2 - 2*n - n - 7 - n**3 + 2*n**3 + 9*n. Let d be 0 + (-1 - 0) - 7. Let b be c(d). Calculate the highest common factor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from 14122.9869.\nAnswer: 14122.9469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 q when four letters picked without replacement from {x: 8, q: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4\/v*v*v)\/(v**(-1\/7)*v)*(v*v**(-1\/4)*v)\/v*v*v\/(v**(-1\/3)*v)*v**(3\/5)\/v*(v\/v**(-2)*v)\/v*(v**(2\/5)*v*v)**42 assuming v is positive.\nAnswer: v**(46463\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (4 + (sqrt(343) - (sqrt(343) - (sqrt(343) + 4)**2)))) + 2 - (sqrt(252) + 3 + -1 + 2).\nAnswer: -365 - 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449785 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140659066.\nAnswer: 2, 103, 682811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/4 + 5*a**4\/4 - 5*a**3\/6 - 15*a**2\/2 - 2*a + 13. Let f(o) be the first derivative of u(o). What is z in f(z) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565979.\nAnswer: 13, 197383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2048344, -2048319, -2048278, -2048221, -2048148, -2048059?\nAnswer: -2047954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5454420 = -t, -4*t + 5454436 = -3*t - 2*w. Let z = t + 35572. Round z to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -4*sqrt(2)*2)*-2.\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.8 less than 4741052039?\nAnswer: 4741051583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 - 179 - 10)*(-z - z + 3*z + (5 + 1 + 2)*(-38 + 38 + 7*z) - z - 4*z + 4*z) in the form c*z + g and give c.\nAnswer: -11032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**5 - 54*c**3 - 29*c - 40.\nAnswer: -100*c**3 - 324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 188864.3 to the nearest 1000.\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(592\/12))\/((-18)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.05 - 380.05. Let w = 379 + f. Is w bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1442, -2882, -4396, -6020, -7790, -9742, -11912?\nAnswer: -14336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -0*q. Let h be -50*(14\/(-10) - (q - 3)). Suppose -c - 3*c = -h. Sort c, -4, 0 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560803.\nAnswer: 560803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let j = 3\/14 - -2\/7. Let i(o) be the first derivative of 4 + j*o**2 + 0*o. Give i(g(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -20. Let q = -3.5 - u. Which is the nearest to 1? (a) 0 (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 75*j - 3. Let x be q(2). Let r = -100 + x. Suppose -3*h + i = 2*h - 69, -3*h + 2*i + r = 0. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8822*m**4 + 99*m**2 - 2786442 wrt m.\nAnswer: 35288*m**3 + 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -18. Let z = -3 - f. Solve 3*i + 12 = -z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-519 - -503) + 0 + (0 - 0) + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:26 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4334414*p**4 - 5*p**3 - 12*p**2 + 2*p + 2080742?\nAnswer: 104025936*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -215269.2613 to the nearest one thousand.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2880, -3085, -3290, -3495, -3700, -3905?\nAnswer: -4110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*p + 1 + 3 + 0*p.\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1110111020112 (base 3) to base 10\nAnswer: -777290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73854216 is divided by 529.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {j: 3, w: 1, l: 9, z: 5}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 4\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -425?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-12))\/w*w**(1\/4))\/((w**(-5\/2)*w)\/((w*w**8)\/w)) assuming w is positive.\nAnswer: w**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 3*l, -2 - 1 = -k + 4*l. Let g(q) = 32*q**2 - 1. What are the prime factors of g(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 81 + 99 + 77 - 72*j.\nAnswer: -72*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122409.\nAnswer: 3, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4 + 20. What is the tens digit of 6\/(-12) + 70\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -65, -77, -95, -119, -149, -185?\n\"Answer: -3*j**2 + 3*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(44\/11)*-1*1\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59369032 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 72, 1, -160, -6\/11, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:26 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 2*b + 5. Suppose 7*g - 2*g = -5*f - 20, 4 = -f - 4*g. Let r be p(f). Is 1*(0 - -2 - r) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -62. Suppose 3*t + 216 = 2*m, 3*m - t = 197 + 120. What is the highest common divisor of k and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581 or 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -129*-5\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.84 - 9.36. Let j = r - -14.2. Sort j, 0, -0.06, -0.4 in ascending order.\nAnswer: -0.4, -0.06, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -4*w + m, -w - 2*m + 0*m - 18 = 0. Let p(l) = -4*l**2 + 8*l - 34. Let j(v) = v**2 - 3*v + 11. Let r(q) = w*j(q) - 6*p(q). Factor r(y).\nAnswer: 4*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from vzskskkvvvkkvszzzvk.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*n = -0*t, 9*t - 2*n = 14*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwh when four letters picked without replacement from {w: 9, h: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 19*s + 92 = 23, 24 = 3*t - 4*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*((sqrt(800) - (sqrt(800) - 2*sqrt(800)*-1)) + 0 + sqrt(800)*-2)*-4)**2.\nAnswer: -9830400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 + 603 - 206 - 85*z**2 - 199.\nAnswer: -85*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9548.\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Suppose 29*v = 37*v + 32. Let l(k) = -k. Let o(m) = -2*m + 4. Let t be o(5). Let f be 4\/t*(-2 - 1). Give f*g(b) + v*l(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501033 is divided by 500.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 775310 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-21)\/(-9). What is the third derivative of 72*f**2 - j - 4*f**6 + 67*f**2 + 2*f**5 - 137*f**2 wrt f?\nAnswer: -480*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -470*c**2 + 1232*c - 26.\nAnswer: -2*(5*c - 13)*(47*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1994\/3 - 664. Let o = -36 - -26. Let z = 9.8 + o. Which is the second biggest value? (a) 3 (b) 0.4 (c) z (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 9 - 4*n + 12.\nAnswer: -4*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 2*f - 1. Suppose -48*s + 96 + 48 = 0. Let g(t) = 1 + t - 3 - s + 4. Suppose a = -0*a + 2. What is a*g(h) - o(h)?\nAnswer: -4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m. Let w be f(4). Let h = w + 41. Suppose h*u + 4*c - 130 = 56, 5 = -5*c. Calculate the greatest common factor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 33956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/(((-100)\/30)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 9:52 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 8. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44497250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800082.\nAnswer: 2, 479, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 824 - -22c?\nAnswer: a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4795 - 4823 = -2*z, 5*a - z = -21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 84?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000250462 to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/((q\/(q*(q\/q**(-2\/13))\/q)*q)\/q))**(-5\/4)*(q**0)**(1\/12)\/((q\/q**(-6))\/((q**(-1\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(485\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8995*h = 7301 - 151221 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + c. Let b(q) = 11*q**2 + q. Let g(y) = -6*b(y) + 13*l(y). Let x be g(4). Suppose -3*i + x = -0. What is the nearest to 2 in 2, i, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**7\/70 - 85*x**4\/24 - 1481*x**3\/6 - 4*x**2 - 129*x. Find the first derivative of j(a) wrt a.\nAnswer: -12*a**3 - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -714562.42 - 9899.58. Let g = y - -724471.999945. Let s = -10 + g. What is s rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552515 - -3?\nAnswer: 552522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:15 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 4*n - 6. Let s be i(6). Suppose -v = -12 - 42. Calculate the highest common factor of v and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 + 2. Let i be u(0). Let j(z) = z - 6. Let x be j(8). Suppose 4 - 14 = x*s. Put i, 1, s in decreasing order.\nAnswer: i, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-19)\/(-4). Let k(h) = h**3 + h**2 + h + 1. Let z = 6 + -7. Let b be k(z). Solve p*f + 30 = -o, 2*o + 2*f + b*f = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 574 + -154?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 15991.\nAnswer: 4\/15991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2793*h - 2795*h = -15764. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 1, z: 1, t: 2, u: 1, k: 2, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-196)\/64)\/1 + 2 and 97\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 230 + -4)*(-1 + 0). Let n = c - -226. Solve n*j = 5*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/72)\/(0 + -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*10*19\/(-988). Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c**(6\/11)*c*c\/(c*c**(-12\/13)*c)*c*(c**(-2\/43)\/c*c*c)\/c assuming c is positive.\nAnswer: c**(-40448\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5, -3*d - 15 = -60*g + 61*g. Sort -12, 12, g.\nAnswer: -12, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 91 = w, 3*w - 2*r - 178 = 2*r. Suppose 5*y + 38 + 37 = 0. Let z be 12\/(-4) - y\/6*10. What is the greatest common factor of w and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34418 divided by 4\nAnswer: 17209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*p - p = -4, -c - 2*p + 1 = 0. Which is smaller: c or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.9 - -30.9. Let o = 3 - -9. Does o = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4\/411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -174, -41, 2 in ascending order.\nAnswer: -174, -41, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4450 (base 6) in base 4?\nAnswer: -100032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 + 1983*l + 2003436 = 0.\nAnswer: -551, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, 0.02, -7\/2, 0.06 in descending order.\nAnswer: 2, 0.1, 0.06, 0.02, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-10))**40 assuming g is positive.\nAnswer: g**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3403*f**3 - 2718*f?\nAnswer: -20418*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 55, 2 in descending order.\nAnswer: 55, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(6*s + 103*s + 79*s)*(-8 + 1 + 2).\nAnswer: 940*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2344 - -5287. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + k**2 + 2*k + 1. Let s be t(-1). Suppose s*c - 10 = -4*f, -f - 3*c + 7 = 3*f. Suppose 72 = -2*r + f*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-27) + -49 + 151970\/3105?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-8)*x*x**(-2\/9)*x**(3\/7)\/((x**(2\/3)*x)\/x*x) assuming x is positive.\nAnswer: x**(-470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t**2 + 0*t**2)*(2 + 0 - 1)*(-62689 + 0*t - 3*t + 62439) to n*t**3 + r*t + b*t**2 + w and give b.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2263*n**2 + 240*n + 27. Is v(3) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2883 + (9 - 10) + 2 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-30) + (-57)\/(-45). What is the second smallest value in 2\/9, o, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58 + ((-2)\/(-6))\/(9\/(-108)). What is the highest common factor of h and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157\/33 - -111557\/24024. Let a = -1\/91 + x. What is the common denominator of a and 57\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 8*p + 289*p)*(-5 + 3 - 3)*(-2*p - 2*p - 3*p).\nAnswer: 10080*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 15 - 24 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 12. Let l be o(-9). Let z(d) = 2*d + d**l - 2 + 3*d**2 + d - 8*d. Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 56 = 9*v - 13. Solve v = a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 36. Let y = g - -5. Calculate the highest common divisor of y and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 44939\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8873, 8892, 8911, 8930, 8949?\n\"Answer: 19*s + 8854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 + 621*k**2 - k - 621 = 0.\nAnswer: -621, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2566246 is divided by 418?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2298945 is divided by 636.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 788\/52 - (-974)\/(-6331)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. Let p be (1*(-24)\/30)\/((-28)\/10). What is the closest to -0.1 in p, -3, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108545626?\nAnswer: 2, 7, 431, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*v + 2 = -3, 25 = 2*h + 3*v. Suppose -r + 6*r - 2 = y, -y - 2 = h*r. Let u = 1338 + -1336. Sort u, r, -25.\nAnswer: -25, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 1453*m - 1455*m. Let c(v) = -v**3 - 7*v**2 - 3*v + 3. Calculate c(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13565 is divided by 174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 2) + 16 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 435134435 (base 6) to base 3\nAnswer: 112200111102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19488 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 53\/53*(20\/(-4))\/(-15). Which is the closest to j? (a) 4 (b) -5\/309 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329873661 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 + 173. Solve -a*x - 17 = 3*b, 0 = b - 0*b - 5*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.50520455 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -10, 94, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78909319?\nAnswer: 29, 659, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 4. Find the second derivative of -6*z**3 - z + 4*z + x*z wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t. Let g(b) = -278*b + 740328. Determine d(g(s)).\nAnswer: -834*s + 2220984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 q when four letters picked without replacement from {x: 1, q: 4, s: 3, e: 3, j: 7}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 3 (c) -588 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 488 + -1 - 5\/15*-18. Sort j, -2\/11, -11 in increasing order.\nAnswer: -11, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -2*w. Let f = -711 - -5479\/9. Let i = 102 + f. Is i < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3 - -2a38?\nAnswer: 302b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(720) + 1*sqrt(720) + -4 + sqrt(720) + -1*sqrt(720) + 5 + 1 + sqrt(720) + 0)**2.\nAnswer: 432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49.411474307 and -19?\nAnswer: 68.411474307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 643012 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 50*g**2 - 7*g + 5. Let k(p) = p. Give k(n(x)).\nAnswer: 50*x**2 - 7*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.3 - 22.4. Let y = -0.9 + j. Which is the third smallest value? (a) y (b) 2 (c) 0.4 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*c**2 - 176*c + 9 - 9463*c**3 + 177*c + 9461*c**3)*(-3 + 1 + 0 + (1 + 1 - 3)*(-3 + 2 + 0)) to the form v*c**2 + y*c + p*c**3 + x and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 6*f**3 - 2*f**3 + 11 + 2 - 5*f**3 + 10*f**2. Let u be 2 + -1 + (-18)\/(-2). Let h be t(u). Put h, -2, 0 in ascending order.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34121*x - 18358*x + 3641*x.\nAnswer: -48838*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + (-2 - (-5 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.68 - 12.7966. Let v = z - -0.116600619. Round v to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2. Let r(u) = 3*u**2. Determine r(d(y)).\nAnswer: 75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1298, -2605, -3912, -5219, -6526, -7833?\nAnswer: -9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(20)*1)*-6 - (-1*sqrt(2178)*-6 + sqrt(2178))*-3)**2.\nAnswer: 935712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -4*c, -c - 4 = 2*j - 27. Let i(g) = -g**2 + 10*g - 1. Let t = -6 + 12. What is the smallest common multiple of t and i(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + (-100)\/(-15). Let w = 97 - a. Let v = 47 - 24. What is the remainder when w is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7))**(-12) assuming y is positive.\nAnswer: y**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1189, -3746, -7703, -13066, -19841, -28034, -37651?\n\"Answer: -g**3 - 694*g**2 - 468*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 156, 5 in ascending order.\nAnswer: -1, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2649 + -2655. Which is the third smallest value? (a) -0.1 (b) r (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799268909, 799268908, 799268907, 799268906?\nAnswer: 799268905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 17*i = -14*i + 3, 0 = 2*h - 2*i - 16. Put h, 2, 4, 12 in decreasing order.\nAnswer: 12, 4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*j + 127, -2*j + 135 = 3*j - 5*q. What is the remainder when 206 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 2. Let j be k(2). Suppose 3*s - 33 = -3*l, 2*s + 61 + 1 = 4*l. Does 8 divide j + -3 + l - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 - -203. Calculate the highest common factor of 18 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382 and 7394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**3\/3 + 7*q**2\/2 + 10*q + 32. Find c, given that a(c) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 168*q + 102305. Determine r(-609).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-295)\/(-50) + (-7)\/(-168)*12. Factor u*n**2 + 4\/5 + 28\/5*n**3 + 2\/5*n**5 + 12\/5*n**4 + 18\/5*n.\nAnswer: 2*(n + 1)**4*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from yoggrggoyygrrgr.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 348 + 341 = 30*x. Let c = -6 + 6. Suppose -5*a = -u - 12, 0 = -2*u - c*u + a + 21. Calculate the greatest common factor of u and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(875) - sqrt(35))\/((-2*sqrt(21))\/sqrt(3)) + 3.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.143 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*r - 25*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1695384, -3390769, -5086154?\nAnswer: -6781539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/g*g*g**11)**46 assuming g is positive.\nAnswer: g**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:27 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/39663 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:30 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let o(x) = 4*x + 79. Let i(k) = k + 19. Let l(b) = 9*i(b) - 2*o(b). Does 12 divide l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 23*q**2 - 29*q - 69. What is x(24)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Let b(d) = -3*d**y + 24*d**2 - 3*d**3 - 25*d**2 + 4*d**3. Let m be b(1). Let s(j) = j**2 + 3*j + 1. Calculate s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015885 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6, h: 2, c: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9847 and 11059784.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-65)\/(-51)*(-2)\/(-7). Let d = 4\/51 - q. Suppose 0 = 3*c + 5*y - 5, 3*y = 4*c - c + 3. Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.188 and -7996.\nAnswer: -89459.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 929567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86e62 (base 15) in base 4?\nAnswer: 1220213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26762, -29960, -33166, -36380, -39602, -42832?\nAnswer: -46070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 669647842 and 3?\nAnswer: 669647839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 5*a + 4. Suppose -16 = 2*s + 2*s. Let w be k(s). Let t(m) = w*m + 4 + 0 - 7 + m. What is t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154030337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 38 = 3*v, -u - 7 = -2*v. Solve -v*h + 2*h + 4 = 0, 2*h + 13 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 11. Let f be k(-8). Suppose -f*l = r - 4*r + 83, 0 = 2*l - 4. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/11)\/v*v**9*(v**2)**(11\/7) assuming v is positive.\nAnswer: v**(816\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 5*x + 469 + 3*x + 2*x**2 - 216 - 238. What is f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 19, 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from pkpjpkapipijpaj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 2*g - 1120. Let t be 6*(265\/(-2))\/5. Let l = g + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 881073 - 881073 + 5687*f**2 - 1663*f**2 to r + v*f + k*f**2 and give k.\nAnswer: 4024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:06 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(((-3900)\/24)\/(-25))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*u - 47*u + u**4 - 26*u**2 - 3*u**4 + 83*u - 11*u**3 + u**4.\nAnswer: -u*(u + 1)*(u + 2)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*b - 7, -3*b + 5*b - 6 = 0. What is the greatest common factor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72576965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 + 4*g - 22. Give u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 119575 and -23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h - 4*l - 8 = -82*h, -l - 11 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1536776 in 2\/9, 26\/7, -1\/2?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.1441 - 79.932. Round f to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 66. Suppose 0 = 12*u + 3*u - 180. What is the remainder when j is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105399852 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*o**5*q**2 - 44*o**4*q**2 - 216*o*q**2 wrt o?\nAnswer: -640*o**3*q**2 - 528*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 351404.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - d + 1. Let r be b(-3). Let u = r + 9. Solve 5 = u*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -19. Which is the closest to x? (a) 3\/7 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 18*z**2 - 18*z + 12. Let g be h(-19). Let o = 3 + g. What is the units digit of 3468\/54 - o\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120846869 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 369.48 + -369. Let f = -4.48 + s. Which is the smallest value? (a) -5 (b) f (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 less than -33988.981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -22*o**3 + 44. Let n = 121 + -126. Let m(b) = -23*b**3 + 45. Let h(k) = n*m(k) + 6*v(k). What is the derivative of h(d) wrt d?\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3 + 477*m**2 - 75843*m + 1653. Factor j(t).\nAnswer: -3*(t - 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/60 + f**4\/12 + f**3\/3 + f**2. Let q be x(-2). Suppose 24 = -0*t + q*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97.3 - 97. What is the third smallest value in w, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 11*n**2 + 3*n. Let j be i(-6). List the prime factors of -1 - (-84)\/j - (-2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 50. Let a = 2 - -4. Suppose 8*u - a*u = 18. What is the remainder when o is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11780.186698 and -10.136.\nAnswer: 11770.050698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12120, -48490, -109106, -193968, -303076, -436430?\nAnswer: -594030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfxxfxnlxfflf. Give prob of picking 1 x, 2 f, and 1 l.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 31. Let h(n) = -7*n + 186. Let r(l) = -h(l) + 6*k(l). Let f(t) be the second derivative of t**4\/2 - t. Give f(r(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3890 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvbbvdbvbbbvbvd. What is prob of picking 3 b and 1 d?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 6*d)*(129 + 85 + 314).\nAnswer: 3168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13396 divided by 1?\nAnswer: -13396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 8644, -2.091?\nAnswer: 8644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 64*d**4 - 96*d**3 - 76*d**2 + 24*d = 0?\nAnswer: -3\/4, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*j**2 - 291*j**2 + 573*j**2.\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 - -238. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*l - 3*j, 3*j + 101 = 4*l + 19. Let s(z) = 14 + 20 - 47*z + l*z. What are the prime factors of s(-7)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 6*l + 2. Let s be q(-6). Let d be (-5)\/(-1) + s\/(-2). Factor -36*f**2 - 29 + 29 + d*f**4.\nAnswer: 4*f**2*(f - 3)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -533, -1975, -4359, -7727, -12121, -17583, -24155?\n\"Answer: -7*l**3 - 429*l**2 - 106*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7775 divided by -7775\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(32 + -2)*2\/5. Is u at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:39 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/3 - 152*c - 18304\/3 = 0.\nAnswer: -176, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) - 1*sqrt(91)*3))\/(-3*1*sqrt(567)).\nAnswer: -2*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v. Let z(w) = 2517265*w. What is z(t(g))?\nAnswer: -7551795*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 58. Put k, 3, -5, 1 in decreasing order.\nAnswer: 3, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151748766 + -5\nAnswer: -151748771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1100748*g. Let h(k) = 2*k. Determine h(s(d)).\nAnswer: -2201496*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 3378 = 4322. Is j less than -0.007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4582.7 + 4583. Let q be 1*(-1)\/(-9 - 2). Which is the nearest to q? (a) -5 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3664866 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 91*w + 510. Calculate k(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrra. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**8*t)\/t)*t)\/t*t*(t\/(t*t**(-7)))\/t)**(-10\/11))**(-2\/49) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 694*n**3 + 1 - n**4 - 1387*n**3 - 20*n**2 + 0 + 692*n**3 as o*n**2 + h*n**4 + s*n**3 + l + a*n and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 121*x**5\/150 - 33*x**4\/10 + 27*x**3\/5 + 34*x**2 + 8*x + 13. Let v(d) be the first derivative of w(d). Factor v(i).\nAnswer: 2*(11*i - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 15*v**2 + 11*v + 20. Let y(x) = 3*x**3 + 30*x**2 - 18*x - 35. Let p(o) = -5*d(o) - 3*y(o). Give p(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82690 and 10?\nAnswer: 82690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1038*j + 797*j + 46800*j**2 - 47817*j**2 - 713*j wrt j?\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 6, -3\/10, 18?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4\/5, 2\/9, -39, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*n + 11. Let c be 30\/105 - n\/(-7). Is 11 a factor of 968\/12 + 1\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38643742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 + 373. Let w be (7 - 12) + g\/((-12)\/(-27)). Which is the closest to w? (a) 1\/6 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -39*c**3 + 1836*c**2 - 142*c + 59. Determine j(47).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07456 - -0.32544. Sort p, 1\/3, 12, -7, 2\/11 in decreasing order.\nAnswer: 12, p, 1\/3, 2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -90959805 and -0.4.\nAnswer: -90959805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:28 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23722139.\nAnswer: 7, 3388877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (52 - 29) + -59?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1520696.7.\nAnswer: -1520691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -781 + 781. Let f be (4\/6)\/((-4)\/(-90)). Let p = -13 + f. Solve 5*r - i - 2*i + 17 = o, -2*r + p = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9892.902 decades to millennia.\nAnswer: 98.92902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 192, 187, 170, 135, 76, -13?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5494 + 5496. Let a(t) be the third derivative of 31*t**q + 5\/6*t**3 + 1\/60*t**5 + 0*t + 0 + 1\/8*t**4. Give a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6193*c - 29426*c**2 - 6193*c + 29390*c**2.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2876.24 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*h + 8357767*g**2*h + 17028*g*h - 207*g + 4 wrt g.\nAnswer: 6*g*h + 16715534*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 99535\/50 + -2. Let v = t + -1992. What is the common denominator of 39\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 36*g**2 - 36*g + 19. Let n be o(-35). Let m = 76 - n. Calculate the remainder when 108 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8626.\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3, 53, -3, 0.1 in increasing order.\nAnswer: -3, -4\/5, 0.1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(68)\/sqrt(4))**2.\nAnswer: -50*sqrt(17) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjjeekkceeeejes. What is prob of sequence sck?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -911 (base 15) to base 11.\nAnswer: -1596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1770 divided by 118\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*m - 3*o - 15419 = 0, -53*m - 56*m + 4*o = -111*m + 164 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 0.5, 1\/4, -4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*d - 0*d - 21, 3*j - 6 = 3*d. Suppose 0 = 5*y + 11*l - 13*l - 12, 3*l + 8 = j*y. Solve -5*i - y = -3*i, 4*q = 2*i - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a05192 (base 16) to base 4.\nAnswer: -220011012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*q + 55*q - 94*q)*((-6 + 5 - 1)*(3 + 1 - 2) - 7 + 4 + 1)*(-3 + 3 + 3) + 3 + 2*q - 3.\nAnswer: 1874*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or -386\/21?\nAnswer: -386\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-20) + 2)\/((-81)\/(-54)) - -4.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 509*r - 514*r + 15, -4*r - 16 = 4*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 23*f + 128. Let x be g(-14). Suppose -4*l = n - 2781, -x*l + l = 3*n - 698. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -971*f**3 - 48585*f**2 + 511744908*f wrt f.\nAnswer: -5826*f - 97170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129733894 by 101.\nAnswer: 1284494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Suppose 0 = -2*j + i + 1, -2*j + 6*j = 5*i - 13. Suppose -4*n = t - 9, 5*n + 0*t - 6 = -j*t. What is the remainder when v is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1208 - -1232. Suppose y = 2*m, -3*y - 6 = -4*y - 4*m. Suppose v + x + 68 = y*v, 0 = 5*x - 15. What is the remainder when v is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(216)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {q: 2, l: 2, f: 5, b: 6, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21*m + 3. Let y be a(0). Solve -y*z + g = -2*g + 9, 0 = z - 3*g + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16557*c**2 + 8414*c**2 + 10014*c**2)*(-6 + 15 + 1)*(4*c - 3*c - 3*c) in the form f*c**2 + n + a*c + j*c**3 and give j.\nAnswer: -37420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-170 - -180) + (3 - -14). Solve -252 = u*a - 117 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12518561 rounded to three dps?\nAnswer: 2.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -36*z**2. Let x(p) = 16780*p. Give x(g(u)).\nAnswer: -604080*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69187675 a multiple of 9991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + (-2 - 4\/(-2)). Calculate the common denominator of 93\/4 and (0 + (-26)\/(-72))*j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - 34\/(-10). Let c = -4 + k. Let h(j) = 6*j**3 - j. Calculate h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 2*r. Let w = 33 - 36. Is 15 a factor of z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 991 - 6091\/6. Let s be 12554\/14 + (-6)\/(-21). Find the common denominator of n and s\/(-72) + 3\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.856647 micrometers in meters?\nAnswer: 0.000006856647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1430.5 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*q**2 + 195*q**2 - 33*q**2 + 237*q**2 - 29*q**6 wrt q?\nAnswer: -3480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198428\/(-8588) + -1 + (34\/(-38) - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/(-136))\/((-42)\/(-14)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.31084 * -1372\nAnswer: -426.47248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22593500 divided by -3?\nAnswer: 22593500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225755743.\nAnswer: 225755743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099973614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 60 = g + 24, -5*g = -2*t - 11. Let h(u) = u + 17. Let l be h(t). Solve -l*p - 6 = 5*r + 6, -4*r - 5*p = 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 + 33\/12. Suppose j*b = 2*b. Let f = 11.8 + -12. Are b and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzvvpli. What is prob of picking 1 v, 1 l, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 16*k**2 - k**2 + 0*k**2 to d + j*k + i*k**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48287.\nAnswer: 109, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n**1 assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20478163 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: Suppose 2*x - 49 = -a, a = -x + 2*a + 23. Which is smaller: 185\/8 or x?\nAnswer: 185\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22528506.9 and -9696?\nAnswer: 22518810.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81357952133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0559696 to 4 dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 g when four letters picked without replacement from {e: 4, g: 3, b: 13}?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/12 - o**3\/3 + 99*o**2. Let i(r) = 2*r + 1. What is -4*f(b) - 5*i(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(2) + 2 + sqrt(2)))**2 + -4.\nAnswer: 8*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/2)\/24)\/(-4*(-2)\/(-3))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336536429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*k + 753, 30*b = 31*b - 5*k - 138. Calculate the remainder when 6730 is divided by b.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71.23324 - -0.04324. Let g = 71 + m. Are -1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-5 - (-255)\/50)*-12. Let q = -14 + 14. Sort w, q, -15 in descending order.\nAnswer: q, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*8\/120*(-12)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/(-33))\/((-2)\/(-87)). Let m be 3500\/30 + 2\/6. Let y = z + m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13346?\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m**3 - 136*m**3 - 58*m**3 + 282*m**3 - 40*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18291401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 924 - 924.3. Let l = -0.2 - 0.3. Which is the closest to 1? (a) t (b) 2\/15 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 10:37 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/108 and ((-1)\/20)\/(171\/(-6612)).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 7 = 2*p - 1 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52865, -52864, -52863, -52862?\n\"Answer: f - 52866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 - ((-2 - -9) + (-21 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 20*i**2 - i - 9. Let m be y(-10). Let g(w) = 0*w**2 + 0*w**2 - 2*w**2. Let z(o) = o**2 + 0*o**2 - 2*o**2. Determine m*g(r) + 2*z(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1.67. Let y = -24.43 - z. Let n = -24.956 - y. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0561291 rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let s(l) be the third derivative of -47*l**5\/60 - 47*l**4\/12 + 47*l**3\/3 - 2*l**2 - 742*l. Determine 94*q(d) + s(d).\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/4)\/((-2)\/(-8)). Let d(q) = q**3 + 15*q**2 - 17*q - 11. Let r be d(-16). Let c = r + n. Solve 2*p + 3*p - 5 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 - (-8 - -1) - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/90 - 19*m**4\/36 + 955*m**2 + 2*m. Solve i(c) = 0 for c.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 346\/7 or 49?\nAnswer: 346\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/20 + o**4\/2 + 7*o**3\/6 + 2*o**2 + 2*o. What is c(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/9 - (-1)\/(-3). Suppose 10 + 4 = 7*z. Suppose -t + 3*v - 2*v = -2, -z*v = -t + 1. Which is the second biggest value? (a) t (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -47. Suppose -5*l + 27 = 4*n, d*l = 2*l - 2*n - 18. What is the remainder when 26 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 7:46 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/4 + 2*j**3 - 3*j**2\/2 - 7*j - 1. Is i(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -32. Suppose j*a - 16 = 0, 2*y - 4*a = -3*y + 3314. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 440 = 3*j + 391, -29*j + 127 = -4*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117957 is divided by 159.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.62 - -1.06. Let g = m - 1.6877. What is g rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:52 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i - 40*i + i**2 - 19*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 399\/5 + -79. Let k(d) = d**2 - 4*d + 4. Let r be k(3). What is the smallest value in r, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 - 3*o - 101. Let s(x) = 43*x**2 - 5*x - 202. Let v(h) = 5*f(h) - 3*s(h). What is the first derivative of v(u) wrt u?\nAnswer: -38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/4 (c) -121 (d) 1\/4 (e) -2.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/66 - 172\/(-22). Let d(a) = -u*a + 4*a - 4*a. Calculate the remainder when 55 is divided by d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 6*x + 2 + 0*x.\nAnswer: -15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 1. Let j(u) = -5*u + 2. Let v(z) = -2*g(z) + j(z). What is v(-7)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/35507 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 256575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2270 and -19.\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 + q. Let x(j) = 2*j**3 + 6*j - 3. Let b(t) = x(t) - 3*y(t). Let u(a) = a**2 - 6*a + 4. Let o be u(4). Determine b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3\/5, 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.09 - -19. Let c = 23 - 23.135. Let j = b - c. Round j to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 3*r + 12*r - 4*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 21*x - 8 + 8*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 40*p**2 + 1 + 59*p**2 as h*p + a*p**2 + q and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011036 is divided by 1252728?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) 2\/27 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(4 - 3) - 88. Let r = h - -34. Is 16 a factor of (-2064)\/r - 4\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = 13*v - 42*v. Which is the closest to 1\/4? (a) v (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(20\/2164)*-1. Let n = -278 - b. List the prime factors of n.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*s - 5*y - 0*y, 8 = 5*s - 4*y. Solve -g = -s + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -19. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30067 and 13161?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78374.3 and 930?\nAnswer: -72888099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1493 = 4*g + 541, 6*g = z - 217. Calculate the remainder when 5168 is divided by z.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 198 = -72. Let p be (5\/3)\/(9\/(t\/(-20))). Let u be (-2)\/4*(-3 - -1). Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c + 32. Let p be q(0). Suppose 5*s + 7 = -b + 1, -2*b + s + p = 0. Calculate the highest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 3609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-12 - 25\/(-5)). Let w(c) = 5*c**3 - 6*c**2 + 4*c + 6. Let d(g) = -4*g**3 + 5*g**2 - 3*g - 5. Calculate r*d(m) - 5*w(m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*q - 436*q + 139*q + 1973 = -10391 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 1795616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.1, -1.4, 1, 6 in decreasing order.\nAnswer: 6, 1, 1\/4, 0.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 25694, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:10 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/12)\/(4\/(-20)). Sort m, -16, -2 in ascending order.\nAnswer: -16, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 84. Let z be 2*(-4)\/w - -6. Determine l, given that -3\/5*l**3 + 0 - 1\/5*l**2 + 1\/5*l**z + 1\/5*l**4 + 2\/5*l = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/y**(-1\/2)*(y*y**(-1\/3))\/y**0)\/(((y**(-2\/5)\/y)\/(y*y**(-3\/4)))\/(y**4*y*y\/(y*y**(1\/4)*y))) assuming y is positive.\nAnswer: y**(167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.2143 nanograms to grams.\nAnswer: 0.0000007802143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 111469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121423340 (base 5) to base 3.\nAnswer: 1002022010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103\/72 + -14\/9. Sort -8, i, 0.3.\nAnswer: -8, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132611.4 to the nearest 100.\nAnswer: -132600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -891*c**2 + 891*c**2 + 67*c**4 + (-2 - 2*c + 2)*(-c + c + c**3) + 4*c**4 - 4*c**4 + c**4.\nAnswer: 66*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -651 - -646. Let w be -1 + 0 + 8\/(-10). What is the second biggest value in 0.1, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l*l**21)\/l*l**0)\/(l**(-8)*l)**(6\/7) assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -10.\nAnswer: 53\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*y + p - 4*p, 2*y + 7 = -3*p. Suppose -4*v - 2*h = 2, 4*h + 28 = 2*v + y. Find the second derivative of -2*i**v + 3*i**2 + i**2 - i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:24 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*q + 12. Suppose q*p - 3*o + 5*o - 5 = 0, 4*p - 6 = -2*o. Let s = -5\/348 + 881\/12876. Is p less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 7*r**2 + r - 1. Let d be l(-4). What is the common denominator of ((-7)\/(d\/195))\/(-3) and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*r + 24, -3*r + 55 = -x + 11. Solve -3*t = 2*m - 13, 0 = -m + 5*m - 4*t - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272979\/5 - -54990. Let j = 394 - v. Let k = -3 + 2. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u - 20. Let k(l) = -8*l + 2. Let t be k(u). Suppose 3*y + 0*y - 4*c - t = 0, y - 11 = c. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(2*b + 0*b + 2*b)*(-47797 + 47797 - 199*b)*(1 - 2 - 2).\nAnswer: 2388*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 3. Let w(j) = -j + 16. Suppose -4*x - 2*v + 72 = 22, 4*x - 41 = v. Let i be w(x). Suppose k + 2*t - 2 = -i, -3 = t. Give f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 86. Let y be 16\/(-32) + (-3)\/h. What is the second smallest value in -4, 1, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 22\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*c**3 + 2290*c**2 + 62368*c + 11264 = 0. Calculate c.\nAnswer: -176, -32, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -33*d - 17. Suppose 0 = -4*x + 3*x - i + 5, 3*i - 5 = -x. Let h be k(x). List the prime factors of 4\/12*(4 - h).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.348, -4, -0.4, 1, 0.5?\nAnswer: -5.348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 + 28*x - 3*x + 11*x - 4 - 6*x - 9*x as u + l*x + g*x**2 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0*v**4 + 3 - v**4 + (4*v**3 + 4*v**3 - 2*v**3)*(-2 + v + 2).\nAnswer: 5*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.29 + -0.37. Let r = c + -0.16. Let z = -1.24 - r. Do z and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 28. Suppose s - j + 0 = 0. Let k = -2 + s. Calculate the lowest common multiple of k and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/55 + 4)*80\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077250220.\nAnswer: 2, 5, 17, 19, 103, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 57 = 5*d, -3*d = -5*l - 34 + 9. Let p = l + 14. Let t(y) = 3*y - 8. List the prime factors of t(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 24.28. Let h = y - -1.72. Put 0.7, h, 3\/5 in descending order.\nAnswer: h, 0.7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/441 and 47\/132174.\nAnswer: 925218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49151*l - 11031*l - 106069*l - 278303*l.\nAnswer: -444554*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14879 by 10.\nAnswer: -14879\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137698\/7 or -19670?\nAnswer: -19670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 393 - 383. Suppose 0 = 4*o - f*o + 186. Solve 4*w = -3*u - 0*w + o, 4*w + 4 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3159 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let l = 12.7 - 13. Is u > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407060063 to the nearest integer?\nAnswer: 20176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/37 - 80\/111. Let f = -1.1 + 1. Sort 0.4, f, h in increasing order.\nAnswer: h, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o**4 - 33*o**4 + 0*o**4 + 256*o**5 - 61*o**3 - 44*o**2 - 83*o**3 - 4*o + 15*o**4 = 0. Calculate o.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 16, 30, 44?\n\"Answer: 14*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49423785 is divided by 722.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -7. Suppose -4*f = -q*f + 152. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102120221002 (base 3) to base 15.\nAnswer: -25eeb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 7 + 17 - 14.\nAnswer: 5*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/80*136\/28*-7\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**3 + 9*l**2 + 9*l + 17. Suppose -32 = 3*b - 2*q - 3*q, -5*b + 2*q - 47 = 0. Let g(h) = 3*h**3 + 2*h**2 + 2*h + 4. Give b*g(o) + 2*c(o).\nAnswer: -o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674*k = -673*k - 699. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/15 + 8*x**2 + x. Let l(p) be the first derivative of q(p). Let f(u) = -6*u**2. Give f(l(w)).\nAnswer: -96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 2 + (sqrt(425) - sqrt(425)*-3).\nAnswer: 2 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c. Suppose 0 = -4*x + 15 - 35, 4*k - 22 = -2*x. Let a(p) = 3*p. Calculate k*a(z) - 5*i(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -27*r. Let n(f) = -f**2 + 1. Let a(l) = -l**2 - 7*l - 9. Let g be a(-5). Let h(x) = -4*x**2 + 6. Let y(s) = g*h(s) - 6*n(s). Determine o(y(d)).\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**3 + 6*m**2 - 4*m + 4. Let w(q) = 9*q**3 + 5*q**2 - 3*q + 3. Determine -3*a(h) + 4*w(h).\nAnswer: 6*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*p - 28 + 79 = 0, -1 = 2*m + 5*p. Let a be (-72)\/(-4) - (m - -16). Solve 6*k = k + g + a, k - g - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let j(q) = q**2 + 4*q + 3. Let i(h) = j(h) + 4*r(h). Let l be i(-2). Factor 1\/2*b**4 + 3\/2*b**2 + 0 - 1\/2*b - 3\/2*b**l.\nAnswer: b*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43)\/(-43) - (-1 - (2 + -1)). Is 20 + 399 + (-1)\/(n\/(-12)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251 + -126. Suppose 0 = -4*a + 3*p + g, a + a = -p + 55. Suppose 0 = 2*n - a - 13. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -2 (c) -3 (d) 10 (e) 0.1 (f) 1.581 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawwwwwwawwww. Give prob of picking 2 w.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/60 + 11*s**4\/24 + 16*s**3 - 3552*s**2. What is r(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2. Let q(l) be the third derivative of -17*l**5\/10 - l**3\/6 - l**2 - 22*l. Determine q(s(i)).\nAnswer: -6528*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878304 and 1880?\nAnswer: 206401440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Suppose -347 = -5*f + u, 4*f - f + 5*u - 225 = 0. Let b(d) = -70*d + f*d - 6*d**2. Give b(w(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246108 is divided by 81859?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 38630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4853*v + 1022200 = 9785*v - 1188*v for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 7}. What is prob of picking 1 v and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4733693 - 4733693 + 334*a.\nAnswer: 334*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -135, -134, -133, -132?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481553210 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**4\/8 + 41*q**3\/6 + 101*q**2. What is the remainder when 117 is divided by v(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179994 is divided by 162?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2059266 or 2059273?\nAnswer: 2059273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11196 is divided by 560.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069073 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 120*s - 910 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 2*l + 1. Let k be y(1). What is the second derivative of -g + g**k - g + 0*g**4 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116400298 < -116400299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:11 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18958.636 rounded to the nearest 10?\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 10\/(-18 - 579117\/(-32172))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-5)\/15. Let q be (-24)\/16*-2*n. Sort 4, -3, q in ascending order.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 at most as big as -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, l: 2, d: 2, a: 1, s: 1}. What is prob of sequence xds?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783925 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2148, 12366, 40104, 94122, 183180, 316038?\nAnswer: 501456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1705 - 803. Let z = 1292 - o. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 23. Let y be j(14). Let d = -48 + y. Let l be -4*d\/(-12)*17. Solve l = 5*h - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 2. Let f be 1 + c\/28*6. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633512.1ml to litres.\nAnswer: 633.5121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/160*10)\/(1\/8*4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.87 - 2.418. What is l rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 3*y - 7*y + 2*y**2 + 0 + 0 + 2*y**2 + (0 + 0 - y)*(-2*y - 3*y + 4*y) - y**2 + 0*y**2 - y**2.\nAnswer: 3*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f - 25 = -121 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 11*l + 8. Suppose -33 = -3*k - 5*b + 2*b, 4*k = -3*b + 44. Calculate the least common multiple of r(k) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - (-9 - -9)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 3*o - 2*o)*(20 - 20 + o**2 - 8*o) to the form n*o**2 + d + c*o + v*o**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 161*w**2 - 3*w - 40. Let z(q) = -q - 5. Give -k(o) + 2*z(o).\nAnswer: -161*o**2 + o + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -52*g + 4. Let o(x) = -6*x. Let s(r) = -20*o(r) + 2*q(r). Let t(h) = -1. Calculate -s(k) - 8*t(k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:35 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 - (-2)\/(-3). Let h(d) be the third derivative of 11*d**6\/120 + d**5\/30 - d**3\/6 + 29*d**2 + 3*d. What is h(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 2*h**2 + 24*h + 1. Give i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 879 - 597. Suppose -3*u + b = -4, -u + 0*b = -4*b + 17. Suppose -f = -9*a + u*a. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7242166170 to the power of 1\/4, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7998657 and 10485.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37779 minus -30950.6324?\nAnswer: -6828.3676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797283.\nAnswer: 53, 33911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(28))**2*6.\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4 + 0*i**3 - 17*i + 0 - 7\/2*i**2. Find the first derivative of y(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3847, -3858, -3883, -3928, -3999, -4102?\nAnswer: -4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5184219574 rounded to 3 decimal places?\nAnswer: 0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from njnqqytajnnaajttjtnt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - o + 6 = 0, -2*o + 6 = o. Let m = 90.8 - 85.8. Put r, -0.2, -5, m in ascending order.\nAnswer: -5, r, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*j**5 + 2576*j**2 - 1377764*j?\nAnswer: 1900*j**3 + 5152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(832) + -1 + sqrt(832))**2 - (sqrt(143)\/(sqrt(77)\/(sqrt(7) - (sqrt(28)\/sqrt(4) - sqrt(7)))))**2.\nAnswer: -64*sqrt(13) + 3319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f63a7 + -3?\nAnswer: -f63aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i + 0 + 3 - 2 + 66*i to the form c*i + s and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3061, 5372, 7687, 10006, 12329, 14656?\n\"Answer: 2*u**2 + 2305*u + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-10)\/(-6) - 64\/(-96)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnbt when four letters picked without replacement from nnnntbbbnbnbtbn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-154))\/(2\/(-4)). Let v be -2 + 4 - 7\/4. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/2 + -43\/9. Let c = 2\/9 - d. Are c and 26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -130 + (2008 - 1865).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 - 6*r + 6. Let n(o) = 20*o**2 + 12*o - 13. Suppose 3*q - 2*c = 7, 2*q - 1 = 3*c - 3. Let g(u) = q*i(u) + 2*n(u). Let g(d) = 0. What is d?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 + 74*z**2 + 796*z + 2128 = 0.\nAnswer: -19, -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*b**4 - 103*b**3 - 12788*b**2 wrt b.\nAnswer: 816*b - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:40 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/(-4))\/5 + 55 + 868\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(2\/(-66)). What is the common denominator of 8\/10*(-85)\/3 and (-4)\/v - 366\/165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15495 and 30311319.\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2930 divided by 5\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7 - 120. What are the prime factors of r?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13027.00003341 + -13027. What is w rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + -2 - -1*451\/(-66). Is 20.1 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 - 4547 - 13098 = 324*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q. Let u(c) be the third derivative of 2*c**4\/3 + 244*c**2. What is u(l(k))?\nAnswer: 112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -240*y - 1097. Let w be p(-5). Solve -3*m - 13 = -5*b, m - 5*b + w - 82 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*t - 73*t + 79*t**2 - 8 + 8 - 163*t.\nAnswer: 79*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15.58*479\nAnswer: -7462.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 31 + 8 = 0. Let h = 18 + o. What is the second derivative of -4*t**h + 3*t**5 - 3*t + 0*t**5 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - 212. What is the tens digit of (-210)\/t - (-6120)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 12 = 0. Let f(i) = -1. Let l(y) = -18 + 7 + y + 3. Let t(q) = m*l(q) - 21*f(q). Differentiate t(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84835*p - 4 + 2 - 85079*p.\nAnswer: -244*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b - 940 + 1300 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2347166 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 o, and 2 l when four letters picked without replacement from {f: 10, l: 2, o: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.02 and 0.0923.\nAnswer: -0.094146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 11, 0.3, -8\/9 in decreasing order.\nAnswer: 11, 0.3, 0.2, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16953083*z - 33909779*z + 16956695*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 33. Let v be t(9). Let j be (v\/9)\/(3*3\/27). Suppose w - 5*n = -12, -2*w + 4*w = j*n - 9. Solve -w = -0*i - 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 less than 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612424046 and 22.\nAnswer: 6736664506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:45 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7200*m - 3060072. Calculate l(425).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = -d. Suppose d*u - 30 = 85. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t**3 - 16*t**3 + 14*t**3)*(4*t - 2*t + 0*t) in the form m*t + h*t**2 + s*t**4 + d*t**3 + a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*s - 1173, 0 = -41*s + 42*s + 4*f - 303. List the prime factors of s.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 24 + 9. Suppose -2*r - x - 6 = 3*x, -19 = -s*r + x. Which is smaller: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - h - 3*h)*(0 + 1 - 3)*(10 + 10 - 14 + 2*h**2) to t + m*h**3 + a*h**2 + y*h and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 15*s - 13. Give q(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -1. Let n = -4.7 + s. Sort n, 0.5, 2 in decreasing order.\nAnswer: 2, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -715 (base 11) in base 15?\nAnswer: -3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.026? (a) -1\/3 (b) -7\/75 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n + y, 2*n + n - 4*y = -6. Suppose 0 = d + n*d - 12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -525, -1, 11, 105 in ascending order.\nAnswer: -525, -13, -1, 1, 11, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 991925114 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7472970589 to the nearest integer?\nAnswer: 86446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1551 and 2201166?\nAnswer: 103454802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j, -2*c = -j - 42 + 2. Let b = -3 + 5. Let y be c\/7 + b\/7. Solve -y*d = 5*i - 7, -8 = i - d - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let g = l + -2.9. Let d = 1.1 - 0.1. What is the second smallest value in d, 4, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304296 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let a(i) = -13*i**2 + 5776. Give a(o(l)).\nAnswer: -117*l**4 + 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*73.5.\nAnswer: -3454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let z(y) = 5*y + 30. Let w be z(6). Let p be (-8)\/60 + 38\/w. Which is the nearest to -2? (a) m (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Suppose -4*c + 51 = -129. What is the units digit of (-1 - c)*q\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 429521703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (0 + 0 - -3). Suppose w*d = 3*d + 16. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151933791 is divided by 5224?\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 10. Let q(r) = -r + 3. Let t(x) = -5*a(x) - 14*q(x). Let o(v) = 5*v. Calculate o(t(g)).\nAnswer: 20*g + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -3*u - m - 55, 5*m = -2*u + 173. Suppose 4*s = -5*r + 218 + u, -5*s = -2*r - 359. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:37 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 7*j**2 - j**2 + 6*j**2 + 3*j to the form k*j + p*j**2 + s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9680785 and 49.\nAnswer: -9680736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*t, 0*l - t = 3*l. Solve -j + 9*j - 32 = l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120798680, 241597356, 362396032, 483194708, 603993384?\n\"Answer: 120798676*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22005749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -11*v**3\/3 + 2*v**2 - 4*v. Does 19 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 65 = 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 3*y + 1, 0 = -y + 4. Let q be (4 - z\/(-2))*-6. Solve 3*h**3 + 0 - 9*h + q*h**2 - 3*h**4 + 0 + 6*h = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5169 - 5164. Let x(c) = c - 7. Let u be x(5). Put a, -9, u in increasing order.\nAnswer: -9, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 < 4\/268943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/239583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 5. Let h be u(-5). Let y = -10226 + 10228. Solve h = -y*r + 4*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1914 + 11491\/6. Let s(n) be the second derivative of 0 + 0*n**3 - t*n**4 + 2\/5*n**5 + 0*n**2 + 6*n. Find the third derivative of s(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 19*g + 476. Suppose 4 = 2*n - 2, -3*y = 2*n - 66. What is the lowest common multiple of s(33) and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 7*b + 1. Let z be y(-6). Let r = z - -9. Let a(n) = 2*n - 48. Let k be a(24). Solve k = -r*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a0d (base 15) to base 11\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1, -0.342264 in ascending order.\nAnswer: -1, -0.342264, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -441 * -3.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75225697?\nAnswer: 17, 73, 60617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 62, 95, 148, 227, 338, 487?\n\"Answer: p**3 + p**2 + 9*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 668 + -670. Let h = 1.9 + -2. Let z = h + 0.3. Which is the second smallest value? (a) u (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*h**5 - 131*h - 33*h**5 - 98*h + 14*h**5 wrt h?\nAnswer: -1280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -324 and -0.048?\nAnswer: 323.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3016 minus -15757136?\nAnswer: 15754120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670952290.\nAnswer: 2, 5, 7, 1831, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 25.56. Let m = -0.06 - y. Let k = m - 1. What is k rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -254. Suppose b*q = 1507 + 2633. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 6, 4, 0 in decreasing order.\nAnswer: 6, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 + 3*t + 5. Let w be h(4). Let g = w + -112. Suppose f = 2*f - 3*n - g, 5*f - 5*n - 285 = 0. What are the prime factors of f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*g - 3, g + 1 = -2*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40\/16)\/((-2 + -2)\/(-16488))?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v + 3. What are the prime factors of -12*(-1 - (-6)\/v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*g + 27, -2*g + 11 = 5*x + 1. Let p = 1 + -2. Is p\/x + (-213)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/24*(-33)\/22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109160144 and 2064?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3078083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-876 + 1754 - 876 + 505*l)*(0 - l**2 + 0)*(-10 + 3 + 1).\nAnswer: 3030*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -4) + ((77 - 18) + -23 - 24).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -518 - -520. Let x(u) be the second derivative of 0*u**n + 0*u**4 + 3\/5*u**5 - 8*u + 0 - 3\/2*u**3. Find the second derivative of x(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11518 and 5.\nAnswer: -57590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010011110010011110001 (base 2) to base 9.\nAnswer: -18003436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r**(-1\/3)*r*r*r))\/r*r)**15)**(-8\/15) assuming r is positive.\nAnswer: r**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -1.66. Let w = 0.1265 + -0.2265. Which is the smallest value? (a) 2\/7 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 8*c**2 - 21*c + 16. Let w be q(10). Suppose -2*f + w = -0. Suppose m - 4*b = 75, f*m = 5*b + 87 + 145. List the prime factors of m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*o - 141 = 0, 3344 + 3522 - 6750 = -4*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 62213.1mm?\nAnswer: 0.0622131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22401)\/(-1881) - 24\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2700, -2702, -2706, -2712, -2720, -2730, -2742?\nAnswer: -2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41846201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0 + 0)*(-2*x - 3*x + x)*(-10 - 3 + 7).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169214336 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 38*d - 14*d - 1980 = 0. What is the highest common factor of d and 340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164700 divided by -675?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.313428mm?\nAnswer: 0.3313428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:58 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/12 - -1)\/(-3). Suppose -2*x = -5*x + 15. Suppose 0*d - 8 = -5*y - 2*d, 0 = -y - x*d + 20. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, -3329, -4.\nAnswer: -3329, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 1. Let h be a(0). Solve l + 14 + h = 2*s, -3*l = -s + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008 at most as big as -206622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*y - 12, 4*y - 2*y - 2*j = 10. Calculate the remainder when (y - 3)\/(4\/(-8)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3230 and 9911?\nAnswer: 1883090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/30 - v**5\/12 + v**3 - v**2 - 12. Let q(s) = s**3 - s**2 + 1. What is 6*q(c) - r(c)?\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 1\/2*t**2 + 1\/6*t**3 - 2*t + 0. Let w be g(2). Solve -w*n = -6*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122518 is divided by 1465.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 699 - 699.397. Let t = -0.226 - p. What is t rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o - 536. Determine h(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(110)\/(-4*sqrt(11))) - (sqrt(99)\/sqrt(9)*6 + -5).\nAnswer: -10*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(99) - sqrt(99) - sqrt(99))*6)\/(sqrt(144)*2))**2 + 0.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39985?\nAnswer: 5, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3036.766g?\nAnswer: 3036766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 - 166310556*c\/11 - 3457400129628642\/11.\nAnswer: -2*(c + 41577639)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h + 10*h**2 + 8*h**2 - 8 + 2 - 13*h**2. Let x = -8 - -5. Let p = x - -8. Calculate g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189938.\nAnswer: 2, 7, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 179\/3. Let n = -0.03 + -10.97. Let j = 14 + n. Sort -2\/5, t, j.\nAnswer: t, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1038\/(-819) + (-684)\/(-513))*1\/(-3)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (-8 - -5 - 8) - -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 22. Let i be q(-7). Suppose -p = 3*v + i, -3 = 5*v - 3*p - 6. Suppose 0 = -3*k + 4 + 2. Solve -k*u - 4 = v, 4*g + u - 7 = 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 144*b**3 - 1875*b**2 - 4356*b + 6372.\nAnswer: 3*(b - 59)*(b - 1)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 16. Let y be (q\/(-130))\/(38\/95). What is the third biggest value in y, 5, 4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4 + 0*z - 46*z**2 + 42*z**2 - 4*z + 4*z**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by -18\nAnswer: 241\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*y + 4*h, -5*y + 30 = -72*h + 75*h. Determine n so that -5*n**2 - 1\/5*n**4 + y - 2*n**3 + 0*n = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.6 + -51. Let l = s - -4.40042. Round l to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*t + 23. Suppose -j = 3*o - 0*j + 1274, t*j + 8 = 0. What is the tens digit of o\/32*(-3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 - 226. Suppose 2*l - s - 449 = 4*s, 3*s - 937 = -4*l. Suppose -a*j - j = -l. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*k**5*q**3 - 6*k**5*q + 2*k*q**3 - 1750*k*q**2 wrt k?\nAnswer: -3880*k**3*q**3 - 120*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 4. Suppose -3*q + 49 = 19. Let d = q + -7. Let l = 2 + -6. Let c(a) = -4*a + 3. Determine d*i(x) + l*c(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + 1.3. Sort 3, -4, n.\nAnswer: -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 divided by 209.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6 + 2)*3. Suppose 43 = 3*t + 2*x, 20 = -3*x + y*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 562239948?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 387\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 + 146 + 23*f to z*f + t and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32646, -33632, -34628, -35640, -36674, -37736?\nAnswer: -38832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2810640 and 179\/420?\nAnswer: 2810640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -14*u + 282. Let a be w(19). Let x(g) be the first derivative of -a + 4\/13*g - 2\/13*g**3 + 1\/13*g**2. Factor x(f).\nAnswer: -2*(f - 1)*(3*f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5320 divided by -266.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 14. Let g be a(-6). Suppose -l - 14 = n - 5*n, g = -2*l - 2*n. Let q(v) = -v**2 - 7*v - 5. Let y be q(l). Do -1 and y 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 48621 and 23031?\nAnswer: 437589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - s**2 + 0*s**2)*((0 + 1 + 0)*(-s + 2*s + s) - 56*s + 71*s - 41*s)*(1 - 1 - 2*s)*(0*s - 2*s - 2*s).\nAnswer: -768*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-9)\/(-3))*240\/160.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29571.1g?\nAnswer: 29571100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44323546552925 and 0.2.\nAnswer: 44323546552925.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 5*d**2 - d**2 + (-2*d + 5*d - 4*d)*(6*d + 2 - 2) + (2*d - 4*d + 0*d)*(4*d - 2*d + 13*d).\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2350 + 800. What are the prime factors of i?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**7\/56 - 7*a**6\/20 - 27*a**5\/10 - 10*a**4 - 16*a**3 + 718*a + 1. Factor y(m).\nAnswer: -3*m*(m + 2)*(m + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17d7 + 678?\nAnswer: -115d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19249 + 0.25249. Is -26\/45 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 3*l**2 - 116 - 2*l - 116 + 2*l.\nAnswer: 3*l**2 - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100101001111 - -11001101111?\nAnswer: 100100111110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89067 less than 1092694?\nAnswer: 1003627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/40 + (-247)\/10. Let o be (15\/j)\/(14\/(-70)). Which is bigger: o or 23\/14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168996114 is divided by 1842.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 + 2*c + 1. Let s = -5 - -4. Let u be d(s). What is the first derivative of u + 0*f + 3*f - 3 wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72\/5 + 15. Let j = -0.4 - -0.1. What is the nearest to -2\/7 in j, -2, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-24 - -17 - -22) + (1 - -20)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 100. Suppose 5*o - x = -0*o. Let b be (-10)\/(-3)*(-3)\/(-2). Solve b*c - o = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43bd4a + 7?\nAnswer: 43bd51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Suppose -50 = -m*t - 2*t. Let k = 591 + -586. Calculate the least common multiple of k and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3\/7 + 240*j**2\/7 - 576*j + 1792 = 0.\nAnswer: 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 12. What is the second derivative of 20*i - 7*i + l*i - 16*i**5 wrt i?\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131414313 + 1?\nAnswer: 131414314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = 4*l - 5*l, 4*f + 1 = -l. Let u = f + 4. Calculate the remainder when 8 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248*q**4 + 116 wrt q.\nAnswer: 992*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -82.7 and -3?\nAnswer: 79.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 + 5. Let d be s(0). Suppose 3*i + d = 14. Let q(r) = 6 - i - r**3 - 4 - 5*r + 6 + 6*r**2. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 + 3*a**2 + 4*a + 2. Calculate t(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1757 - 935. Suppose 8*h = 137 + 1151. Let b = x + h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(-136)\/68.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40277437, 40277450, 40277477, 40277524, 40277597, 40277702, 40277845, 40278032?\n\"Answer: x**3 + x**2 + 3*x + 40277432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -81919, -81894, -81839, -81742, -81591?\n\"Answer: 2*p**3 + 3*p**2 + 2*p - 81926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8)**(1\/7)\/(z**4*z**(16\/5)))**(-1\/23) assuming z is positive.\nAnswer: z**(212\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*j - j, -4*j + m + 4 = 0. Let o(w) = -6 - 2*w + 2*w - 7 + 12 - 2*w + 23*w**j. What is o(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - (29 + -47)) + 5 + -7 + (-12 - 0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -48. Let j = v - 14.5. What is the nearest to -0.1 in 2, j, -0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*t = -5*b + 152*t + 4758, -2*b + t = -1898. Calculate the highest common divisor of 350 and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 8*h - 4*h as p*h + a and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = 5*i + o, 3*i - 4*o - 10 = 0. Let g be ((-4)\/(-35))\/(i\/5). Which is the second smallest value? (a) 3 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, -211, -830, -2041, -4042, -7031?\n\"Answer: -33*a**3 + a**2 + 3*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2177918.2299546 + 2177944.13. Let s = c + -25.9. Round s to 6 decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 2 - 3 - 8. Let i be d(-7). Suppose f + 3*f - i*g = 346, 5*f = 3*g + 439. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/1428*119*160\/56?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/27, 4\/7, -4.\nAnswer: -4, -25\/27, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9223145 + 5063508568\/549. Let v = 8\/61 - q. Calculate the common denominator of -1 - 1 - 73\/(-7) and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2)\/m)**(2\/77)\/(m**(-10))**(12\/13) assuming m is positive.\nAnswer: m**(9188\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 0.1. Let w = -63.84 - 4.96. Let o = w - -69. Which is the nearest to 2\/5? (a) l (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9348 = 9*h - 14160. List the prime factors of h.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 9 = -3*a - c, -3*c + 24 = -2*a. Put a, 3, -11 in increasing order.\nAnswer: a, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-1 - 2*o**2 + 1) + (66*o - 52*o - 42 - 20*o)*(3*o - o - o).\nAnswer: -4*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 20*m = -75. Suppose 0 = 4*w - 101 - m. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 8*x**2 + 7*x + 1. Is z(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335 - 6699\/20. Let l be 2 + -1*(-1 - -2). Which is the third smallest value? (a) -0.4 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((6\/14)\/(-3)). Let x be 302\/z - (-24)\/56. Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.128 and -12\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*z**2 - 48*z**2 + 9*z**2)*(-5 + 5 - 1)*(-2 + 4 + 0).\nAnswer: 306*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 3*a**2 + a. Let p be o(-2). Suppose -p*j + 103 = -531. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/3 - k**2 - 4*k. What is the derivative of q(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -91, -129, -173?\n\"Answer: -3*w**2 - 23*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from eebeneebebbnenbenee?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 11*d**2 + 17*d - 6. Let v be w(-9). Differentiate 18 - 529*p**3 + 1045*p**v - 529*p**3 wrt p.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 20. Let p be (-4)\/14 - 258\/(-21). Calculate the highest common factor of r and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -30 (c) 3\/4 (d) 12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -47470.7 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34376, 68741, 103094, 137429, 171740, 206021, 240266, 274469?\n\"Answer: -o**3 + 34372*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 7 = -5*c, -18*n - 5*n + 21*n + 40*c = -255 + 41 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 16*r**2 + 31*r - 7. Let b be p(13). Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 180*p**3 + 38*p**2 - 52*p - 21. Is b(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let m(r) = r**2 + 2*r + 2. Let j be m(n). What is the derivative of -6 + 2 + u**j + 3 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 9*c - 12. Let n = 95 - 62. Suppose -n - 14 = -r. Suppose 0 = -7*m - r - 23. Determine o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*u + 21 = 8, q = 4*u - 10. What is the units digit of q\/((24\/(-1758))\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23617577.\nAnswer: 23617577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67547?\nAnswer: 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x + 3*u - 2*u, 5*x + 3*u - 28 = 0. Let o = x - 6. What is the units digit of 16\/((0 - o)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/12 + 90\/8. Suppose -h = -2*m - 2*m. Suppose 3 = -m*t + 4*j - 3, -t + j = 1. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 - (6\/3 + -2). Suppose -5*g = -112 + u. Calculate the remainder when ((-2)\/(-4))\/(14*15\/29820) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*r + 54*r + 451 + 3 - 3*r**2 + r**2 - 58 wrt r.\nAnswer: -4*r - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5822, -11641, -17460?\nAnswer: -23279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164 + 163. Which is greater: -2\/1021 or g?\nAnswer: -2\/1021","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*b + 24, 0 = -a - 2*b - 451 + 463 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 1\/2*a**3 + 0 - 7*a + 0*a**2. Let w(k) = 4*k**2 - 2. Let o(z) = 13*z**2 - 7. Let h(j) = 2*o(j) - 7*w(j). Give c(h(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19548\/1512 - (-3)\/42\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 10) to base 5\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114 - 116)*22\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**3 + 50*g**2 - 147*g + 1270. Give y(9).\nAnswer: -3293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**5 + 0*i**3 - 13\/210*i**7 + 0*i + 7\/24*i**4 + 7*i**2 + 0 + 0*i**6. What is the second derivative of y(t) wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let k(q) = -2*q - 10. Let z(g) = -2*k(g) + 6*o(g). Let i be z(8). Suppose i = 9*d - 8*d. Solve 5*v + 3 = d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-10)*-2*5\/10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 2 + 2. Let i(p) = -4 + p + p + 4. Determine j(i(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/60 + t**4\/3 - 11*t**2. Calculate a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2 - (-34 + 38)) + (-11 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*c**2 - 174 + 174.\nAnswer: -203*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 650 + -54. Let y = b + -3565\/6. Calculate the common denominator of y and ((-10)\/45)\/((8\/(-6))\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from pppz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {d: 6, h: 5, v: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**4 + 33048*t**2 - 231*t + 71868655.\nAnswer: 4*t**3 + 66096*t - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 1\/30*a**5 + 1\/8*a**4 + 1\/360*a**6 + 0*a**2 - 23*a + a**3 + 0. Let s(d) be the second derivative of p(d). Factor s(m).\nAnswer: (m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 748218778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from ssssslslssqslsss?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 13*y - 8. Calculate t(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650359.\nAnswer: 650359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (11 + 9) - -11.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/((-1)\/5). Suppose 5*p = v - 0*v - 5, 2*v - 10 = -4*p. Let n be (p + 0)\/(2 + 0). Solve -2*l - 6 = b*q, -3*l - 3*q + 7*q + 21 = n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102935)\/8823 - (-374)\/30)\/((-44)\/(-90)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27703960 by 920.\nAnswer: -30113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 0 - 1\/4*m**3 - 4*m + 17\/4*m**2 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104334982 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose o + 2*o - 3*q - 45 = 0, 66 = 4*o + v*q. Let s(d) = d + 15. Let w be s(-7). Solve -5*g - o = u, -g - g = 2*u + w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*y + y. Suppose -y*t = -14*t - 125. What is the remainder when 70 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/12 - 1) + 0 - (247 - 245)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12569229 to three decimal places.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19401.\nAnswer: 3, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -253525600 to the nearest one million.\nAnswer: -254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105352 + 1250?\nAnswer: -104102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozzh when four letters picked without replacement from dphzzpodooooyh.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*h + 101 = -2*h, 4*n - 3*h + 87 = 0. Find the common denominator of -31\/4 and (n\/(-9))\/(38\/3).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -d - 0*j + 5*j, -5*j + 285 = -5*d. Let a = -50 - d. Calculate the remainder when 29 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.98. Let r = s + 0.48. Let u = 15 + -15.1. What is the biggest value in r, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 20*c + 192. Let a = 15 + c. Suppose -a*h - t = -3*t - 47, -29 = -h - 2*t. What is the remainder when 169 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13481452, 13481453, 13481454, 13481455, 13481456, 13481457?\n\"Answer: h + 13481451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1573823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g. Suppose -20 = -x - 18. Let f(z) = -6*z**2 - 2*z + 7. Let a(w) = x*j(w) - f(w). What is the first derivative of a(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = 3*h, 0 = -2*h - 3*h - 4*n + 4. What is the first derivative of 1 - 3*x**h + 1 - 4 wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let i = -5.3 - -0.3. Let a = o - i. What is the closest to 0 in 3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**(-2\/85)*(j**0)**32 assuming j is positive.\nAnswer: j**(4\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let h(u) = 233695855*u. Calculate h(n(s)).\nAnswer: 467391710*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**4 + 96*k**3 - 97*k**2 + 20*k + 5. Let i(v) = v**4 - v**2 - 4*v - 1. Let f(q) = 5*i(q) + p(q). What is the third derivative of f(n) wrt n?\nAnswer: -24*n + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291257809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128))**2 + sqrt(2) + 5 + sqrt(2) + sqrt(8))*6.\nAnswer: 24*sqrt(2) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15911337 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/28 and 25\/2366.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -0.01, -12\/13, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 - 2*m**2 - 32*m + 15. Let z(y) = -y**3 + y - 2. Give -d(g) - 6*z(g).\nAnswer: 3*g**3 + 2*g**2 + 26*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108431 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: Product of -21 and 0.601905.\nAnswer: -12.640005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r = 29 - 30, 5*w = 3*r + 1. Suppose -1 = -2*h + 7. Suppose 12 = h*u - 4. Which is the second smallest value? (a) w (b) u (c) -4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468366*h**2 - h**3 + 1250 - 468366*h**2 - 1250.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-96 + 29) - -11\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-8)*4368\/(-1560)*(-30)\/(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5785 (b) 8 (c) 2 (d) -0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 17*s - 53. Give k(-4).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3 - l**2 + 2*l - 5. Determine v(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5104588\/75 - 68064. Let v = a - -113453\/40800. What is the common denominator of 113\/6 and v?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 17 - 7) + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 144*d + 46. Let n(b) = -b**2 - 25*b. What is -5*n(i) - v(i)?\nAnswer: i**2 - 19*i - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 435*i - 4565. Give n(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 82. What is the remainder when 148 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 62 = 2*i - 48, 5*i - 17 = 3*y. Sort 1\/2, 0.7, -7, i in descending order.\nAnswer: i, 0.7, 1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -36. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - s)*(-s + s + s)*(-5*s + 5*s - 6*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38932547?\nAnswer: 37, 1052231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 22*v**2 + 214*v + 17606. Calculate y(-23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(72)\/sqrt(4))**2 - (sqrt(242)*1 - sqrt(242))**2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 - -25.\nAnswer: 24.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 31 = 3*i, 19 = 3*i - 5*k - 27. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 5. Let f be g(-6). Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3428 and 27\/96841?\nAnswer: 387364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let r(x) be the third derivative of 7*x**6\/180 - 4*x**3 - 6*x**2 + 5. Let v(b) be the first derivative of r(b). Calculate v(h(a)).\nAnswer: 56*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120002232 (base 4) to base 8.\nAnswer: -12300256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -971 = -28*a - 47. Let x = 512 - 285. Calculate the remainder when x is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 22*b + 2. Let l(k) = 23*k + 2. Let x(r) = 4*r**2 - 8*r + 7. Let q be x(1). Determine q*l(g) - 4*d(g).\nAnswer: -19*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -144*h**2 - 45. Let q(i) = 25*i - 25*i + 4 + 13*i**2. What is -4*o(p) - 45*q(p)?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 1 (c) 0.5 (d) -3 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 19 (b) 0.3 (c) -0.05 (d) 2.107 (e) -3 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 2300643.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11000000?\nAnswer: -10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903\/15 + (-8)\/(-60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 45218*j**2 + 45220*j**2 + 513 in the form z + d*j + i*j**2 and give z.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 215064524 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/((o*o*(o*o**2)\/o)\/o*o))\/o*o**(-3\/4))\/(o**(-8\/7)\/o**(-8\/9)))**(-4\/17) assuming o is positive.\nAnswer: o**(881\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60060 divided by -35?\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 94966 = -4*o, 3*o + 0*o = 2*n - 189976. Suppose -n = -5*a + 4*k - 13966, 4*a = -4*k + 64784. 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 h(x) = 4*x - 1. Let z(w) = -4*w + 1. Let n(s) = -6*h(s) - 7*z(s). Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19583406 and 477?\nAnswer: 1037920518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3088, 12164, 27294, 48478, 75716?\n\"Answer: 3027*h**2 - 5*h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -4*s - s, 4*n + 5 = 3*s. Let u = 4 - s. Let m = u - -27. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117176 rounded to 3 dps?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i - 3*h + 99, 69 = 2*i + h. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003397 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*f - 897, 3*c - c + 2*f = 358. Find the common denominator of -5\/8 and ((-582)\/c)\/((-1)\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2709460 and 109\/49040.\nAnswer: 10837840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**(-3\/2)\/(f**10\/(f*f*f**(6\/13)*f)) assuming f is positive.\nAnswer: f**(-53\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 148 = 162. Suppose -5*z - 4*u + 17 = -83, -f = -3*z - 2*u. Solve -z = n - 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2)*(-3)\/(-6). Let z be m\/4*(-5 + -15). What is the second derivative of 6*s**2 - z*s + 6*s + 2*s wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -172*h + 18 + 36 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 14*a + 7. Suppose 9*p + 13 + 23 = 0. Let h = 20 + p. List the prime factors of y(h).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 25 + -17 + -3 - 26\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 233704*k + 8. Let w be n(-2). Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1 + 40\/10*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(7\/(-1743)). Let r = 153 - z. What is the least common multiple of r and 18?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05 + 0.05. Let h = -5 + 11. Let w = -11 + h. Put w, l, 3 in descending order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h - 16. Let y be b(-5). Let d = -14 + y. Solve -d = 10*c - 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 4 + (-10 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/8*-8 + 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28600.2534 to the nearest integer.\nAnswer: -28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-20 + 2) - (23 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 5, -5, 0.25, -4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b**2 + 3*b**3 + 181 - 2*b - 181 + 2*b.\nAnswer: 3*b**3 - 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520 and 715.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3 - -2)*3. Let l = 491 + -489. What are the prime factors of (l - k) + 52 - 1?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/9)\/1)\/(114\/171)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10583 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(102) - -1*sqrt(102))\/sqrt(6) + -4)*-2 - ((sqrt(833) + -1)*-6 - sqrt(833)*-1*-6))**2.\nAnswer: 1600*sqrt(17) + 544020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*z + 21489 - 13658 + 25202 = 0 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410204201 - 11104?\nAnswer: -410220310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479\/2 - -250. Let b = 43\/4 - m. What is the nearest to -0.1 in 4\/9, 2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -7\/635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snssssnsnsss. Give prob of picking 1 n and 1 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(500) + 6*sqrt(500)*-1 + sqrt(500))**2 + -1 - (0 + 1 + sqrt(500)*-2 + -5)**2)*-6.\nAnswer: -179898 + 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 divided by -6.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2590*g = -2595*g. Let k = -1 + -5. Let s = g - k. Solve j + s = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - 13*a**2 + 269*a + 897 = 0.\nAnswer: -23, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 0*h + 2*h + h + 2*h - h + (4*h - 6*h + 4*h)*(0 + 0 - 1) - 5 + 5 - h + 0*h - 2*h + 0*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 144889 in 4, -2, -4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 52. Suppose -166 = -2*g - u, 4*g - 11*u = -j*u + 330. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8417 + -11193454575.\nAnswer: -11193446158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcv. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5321930?\nAnswer: 2, 5, 532193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -322, -321, -320, -319?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 2, b: 10, u: 1}. Give prob of picking 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*u + 3, 4*u + 37 = 2*p + 15. Find the second derivative of 21*y**3 - 67*y**3 + 66*y + 20*y**p - 13*y**2 + 24*y**3 wrt y.\nAnswer: -12*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81834 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -587176?\nAnswer: 1\/587176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/7 and 95\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-746)\/(-14) - (-8)\/(-28). Suppose -y - 283 = -4*f. Suppose 0 = 2*n - 0*n - f. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 5*w**2 + 10*w.\nAnswer: -5*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.4, -4, -1.4, -0.5 in ascending order.\nAnswer: -4, -1.4, -0.5, -0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58566991 rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a + 65 - 483 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3315 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73319555*k**3 - 39295*k**2 - 2*k - 145 wrt k?\nAnswer: 439917330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620 + -1133.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 621 + -352. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 28 = 3*x. Suppose 8 = -x*v + 4*o, 4*v - 3*o + 13 = 2*o. Calculate the highest common factor of v and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.8970153 to 1 dp.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -55, -105, -177, -277?\n\"Answer: -p**3 - 2*p**2 - 21*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28645993, -28645992, -28645991, -28645990?\nAnswer: -28645989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 + 22*z**2 - 5*z - 6. Let l(n) = 11*n**3 + 34*n**2 - 8*n - 9. What is -5*l(f) + 8*w(f)?\nAnswer: f**3 + 6*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13044*x**3 - 6*x**2 + x - 10. Let i be j(2). Round i to the nearest one thousand.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/(6040\/(-5285))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 14 = -2. Suppose -q*k = -w + k + 24, -2*w + 4*k + 24 = 0. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*c**3 - 134*c**3 + 271*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51548580 divided by 10309716.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**5\/210 + g**4\/84 - g**2 + 15. Factor w(m).\nAnswer: 2*m*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a factor of 1982745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -246, -1863, -6260, -14829, -28962?\n\"Answer: -232*g**3 + 2*g**2 + g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 77, 0, -3, -5, 9, 2 in ascending order.\nAnswer: -5, -3, 0, 2, 9, 25, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452 + -234. Do d and 219 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243)*-1)**2 + (sqrt(9)\/(sqrt(9)\/sqrt(3)) - 6*sqrt(75)).\nAnswer: -29*sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 6. What is the common denominator of (-633)\/s - 4\/(-14) and -36\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 6)*(4*h - 2*h + 0*h) - 2*h + 3*h + h + 3*h - 3*h - h + 4 - h - 4 + (-1 + 1 - 2)*(2*h - 2*h + h) - h + 3 - 3.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1161041745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75\/23 - 1516\/345. Put -1\/5, -0.8, f in ascending order.\nAnswer: f, -0.8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 91.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/136 (b) -4 (c) -5 (d) 0.5 (e) -1 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325226536 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37608 and 487337.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 44723473589216.\nAnswer: 44723473589213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -706 - 1184. What is the greatest common divisor of p and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/((-8640)\/(-81))*14\/105.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 6*k + 9. Let h be j(-3). Let w = -104 + h. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/3 - -3 - 580\/132. Do o and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-9 + (-6 - (-12 - -7)) - -9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4649.213 millennia to years.\nAnswer: 4649213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -53878?\nAnswer: -53863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16118 - 11981. Is 4137 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3844342 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 134971\/3, 6 in ascending order.\nAnswer: 0.3, 6, 134971\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 11, -0.07, 0.5, 25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p - 7. Let t(q) be the second derivative of -q**3\/6 + q**2\/2 + 27*q - 2. Determine o(c) + 6*t(c).\nAnswer: -22*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-25)*(h\/h**19)\/h*(h**(9\/5)\/h)\/h**(2\/3) assuming h is positive.\nAnswer: h**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 83*r**2 + 42*r + 15. What is the remainder when 899 is divided by z(42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62499294181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/3515507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -51. Suppose -2*p - 25 = -3*v, p = -3 + m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(385) - sqrt(385)*-1)\/sqrt(7))\/((sqrt(66)\/sqrt(2))\/sqrt(3)) - (sqrt(100)\/sqrt(5) - (-2*sqrt(500))**2)*2.\nAnswer: 6*sqrt(5) + 4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.167, -8, 0.1?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 3*r**4\/8 - r**3\/6 + r**2. Suppose 5*x - 4*p - 9 = 0, -p + 2 = -0*x + 3*x. Let u be y(x). Solve -3*z = -u*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 42*m**2 - 35*m + 37. Calculate o(20).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 9*r - 14. Let l be v(4). Let h = 13 + l. Let a(x) be the first derivative of -x**3\/3 - x**2\/2 + 4*x + 1. What is a(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o. Let x(q) = -30*q + 12. Give f(x(g)).\nAnswer: -120*g + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 915 - x**2 + 3*x - 1202 - 2998 - 2*x in the form a*x + k*x**2 + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 - 6577 = 114*t + 2540 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4063*g - 9711 + 1645 - 60 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 165*m**2 + 2680*m - 2652. Determine c(1).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 m, and 1 a when four letters picked without replacement from mhbawhwhammhwwmmaemm.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6926 + 6926.030598. Let o = -0.0258 + i. What is o rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69499380 divided by -5?\nAnswer: -13899876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1674252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91 times 7?\nAnswer: 6.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:08 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - 0)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -260490, -1041850, -2344116, -4167288, -6511366, -9376350?\n\"Answer: -260453*c**2 - c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:05 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:03 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**2 + 376*w + 372. What is p(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.0533151 rounded to 1 decimal place?\nAnswer: 75.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 7 - (9 + -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 19*a**2 - 94*a + 64. Give w(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.11 - 1.01. What is the third biggest value in d, 0.92, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-5))\/(2\/5)*(-76)\/(-152).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 404 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1014 + 41644?\nAnswer: 40630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -44*s**3 - 55. Let k(y) = 5*y**3 + 6. Let f be 66588\/1209 - (-1)\/(-13). Calculate f*k(a) + 6*c(a).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9*m - 20, -4*m + 179187120 = 5*y. Suppose -11*c + y = -181532439. Let f = c + -11760897. What is f rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, 2 in decreasing order.\nAnswer: 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h - 1101 = -821. Solve 5*r - 9 = -2*j, -h*r + 3 = j - 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -1029, -1030, -1031, -1032?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*w + 2*f - 7*f, 2*w + 3*f + 18 = 0. Let k = -10 + 9.97. Let i = -2.97 + k. What is the third biggest value in w, -0.5, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttttttttrrrrt. Give prob of sequence rt.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1116299\/44 + 25369. Let b = -5\/4 - c. Which is bigger: -0.6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Let p = -2.703 - -0.003. Let v = p + 3. Which is the closest to -2\/15? (a) d (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - (-3)\/9. Let k(q) = n - q + 0 - 1. Let o(z) = -5*z - 1. Let p be 2\/4*(2 - 4). Calculate p*o(j) + 3*k(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2977*p**2 - 557*p**2 + 494*p**2.\nAnswer: 2914*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7659795877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22595*k + 54979*k + 18048*k - 13033*k.\nAnswer: 82589*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 93?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/3, -11\/3, 0, 1 in increasing order.\nAnswer: -11\/3, 0, 0.1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**2 + 2. Suppose 4*l = b + 9 + 11, 0 = 5*l - 2*b - 28. Let z(c) = -2 - 2 + c**2 + l. Give i(z(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100830 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 220 = r - 201, -280 = 2*l - r. Let x = 205 + l. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = t, -2*a + 8 = -2*t + 6. What is the least common multiple of 39 and a?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 + 79*v - 5. Determine u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**7\/840 + i**6\/90 - 2*i**3\/3 - 2*i. Let k(z) be the second derivative of t(z). Find the third derivative of k(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q + 104 + 0*q**3 - 15\/2*q**2 + 101\/4*q**4. Find the second derivative of j(y) wrt y.\nAnswer: 606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1628 - -3037. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -0.63658424.\nAnswer: -0.33658424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**3 - 8*z**2 + 9*z - 4. Let c be v(5). What is the tens digit of c\/(-19) + 1*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 341 = c + c, -3*c - 6 = 0. Let g = a - -191. What is the remainder when g is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-108)\/(-16))\/(2\/8). Let b(g) = g**2 + 11*g - 47. Let o be b(c). Which is bigger: o or 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -3*u**2\/2 - 24*u - 3. Let a be b(-10). Solve 5*q + 21 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13322331 (base 4) in base 2?\nAnswer: 111111010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*u - 1 + 5, -2 = -3*f - 2*u. Solve 4*s - 5*g = -s + 10, 5*s - 2*g - 7 = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 3*d**2 - 4*d + 4. Let q be t(4). Suppose 2*g - 24 = -q*g. Solve -5*a = 4*s + 21, 0*s - s = -g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*y + 1, -5*w + y = -6 + 1. Suppose 0 = 2*k + 28*m - 32*m - 34, 0 = 2*k + 3*m - 13. What is the highest common factor of k and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25707.612 months to centuries.\nAnswer: 21.42301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53, -185, -413, -749, -1205, -1793?\n\"Answer: -2*c**3 - 36*c**2 - 10*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -1.4, 1\/59886, 0.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 6*c - 47 = -3*c + c + 2*c, 1733*g - 1733*g - 2*c = 4 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 38, 29, -421, 5 in decreasing order.\nAnswer: 38, 29, 5, 1, -1, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 - c + 13. Let z be q(9). What is the closest to -2\/5 in -3, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 times -0.5?\nAnswer: 132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 2*c**2 - c + 2. Let x be g(2). Let y(m) = m**2 - 8*m. Let f be y(x). Solve f*h + h + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -194\/149, -0.1, -2\/5 in descending order.\nAnswer: -0.1, -2\/5, -194\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-8)\/(-48)). Let r be 9 + 0\/(p\/1). Suppose -2*x + r = -69. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22897073?\nAnswer: 883, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2783 divide 24771705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119582043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44801 is divided by 943.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -7*t**5\/60 - 29*t**3\/6 + 16*t**2. Differentiate h(y) with respect to y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 44 = -3*t, t - 4 = -5*v - 2. Suppose -c = c - t. Suppose -4*z = -c - 2. Calculate the remainder when 5 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/24 + w**2. Let i(m) = 12*m**2. Determine i(b(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -10044?\nAnswer: -10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 35\/2. Let z = 12400 - 12400.9. Which is the second biggest value? (a) -3\/4 (b) -2\/5 (c) g (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439350 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845221 is divided by 22242.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 50 = -7*u. Suppose 0 = -48*b + 53*b - u. Suppose 0*n - 2\/9*n**3 + 0 - 4\/9*n**4 + 0*n**b - 2\/9*n**5 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let j(a) = 5 - 6 + 5*a + 4 - 5. Let q(m) = 5*m - 3. Let p(n) = 3*j(n) - 2*q(n). Let b(d) = 6*d. Let z(k) = 3*b(k) - 4*p(k). What is z(y(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 - (-14 + 23 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/17973 and 76\/14827725?\nAnswer: 14827725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-6) + 2\/4. Suppose -1 + 13 = 2*m + 5*z, u*z + 10 = 0. Suppose -2*q = -35 - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*n - c - 9, 0 = -15014105*n + 15014110*n + 3*c + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -512301901\/140 - -3659282. Let t = i - -120\/7. Find the common denominator of 2\/(-6) - (-37)\/(-18) and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o = 1206 - 198 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1601 - 902. Does 698 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-7) - (-4)\/(-14). Suppose -5 = y - 5*v, -2*v = -4*y + v - p. Let n = 1 - y. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 43, 96, 201, 376, 639, 1008?\n\"Answer: 3*g**3 - g**2 + g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14123560*y**2 - 209392167*y wrt y?\nAnswer: -28247120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (6 - (11 + 0)) + 2 - 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 + 7*g**2 - 13*g + 7. Let v(z) = -2*z**3 - 3*z**2 + 6*z - 3. What is -3*p(y) - 7*v(y)?\nAnswer: 2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5823259897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a - 32*a + 67*a - 17*a**2 to d + q*a + y*a**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/43, 2\/47, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 39*y + 38 = 0 for y.\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -5*s**4\/12 + s. Let y be 156\/(-65)*15\/(-6). Let c(z) = -z + y*z + 6*z - 9*z. Determine c(h(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 3*w**2 - 2*w + 3*w**2 + 2*w + (1 - 1 + 2)*(-5*w**2 + 4*w**2 + 3*w**2).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1141, -2760, -4855, -7426, -10473, -13996?\nAnswer: -17995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 820, 865, 938, 1039, 1168, 1325?\n\"Answer: 14*k**2 + 3*k + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/5, 5, -3, -1\/5780, 12, -4\/9?\nAnswer: -1\/5780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17796 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n**4 - 3*n**2 + 2*n. Let v(m) = 26*m**4 + 5*m**2 - 5*m. Let u(h) = -2*v(h) - 5*y(h). Find the third derivative of u(s) wrt s.\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaaaaakaaakuaaaau. What is prob of picking 4 a?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/28*(-2 - 98\/4) and 85\/62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/108*-6)\/(-10)*5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*h + 7*h + 86, 2*h = -5*j + 62. Calculate the remainder when 67 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiivmm. What is prob of picking 1 v and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 13. Let t(c) = c**2 + 7*c + 2. Let h be t(-5). What is the units digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 378*-1*(4 + -5). Let v = -270 + d. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -4, 0.103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -43.466?\nAnswer: 26.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1377) + 1 + -4)**2.\nAnswer: -324*sqrt(17) + 8316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 5, v: 5, m: 4, f: 1}. Give prob of picking 3 z.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85711*y**3 + 2*y - 57096 wrt y?\nAnswer: 514266*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1)**2 + -5 + (sqrt(12))**2 + 0 + sqrt(3) + 4.\nAnswer: sqrt(3) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1804, 3565, 5326?\nAnswer: 7087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 10:01 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in 0.5, 3, -163, -1680, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 38*m - 33*m. Let j(w) = 2*w**2 - 25*w - 7. Let t be j(m). Let o = 22 + t. Which is the third smallest value? (a) o (b) 1\/5 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/5)*d*d*d\/(d**23\/d))\/(d*d**(1\/5)*d)**(-49) assuming d is positive.\nAnswer: d**(452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3 - 7*d**2 + 1 - 3*d + 0*d. Let y(z) = 83*z**2 + 4 - 45*z**2 - 23*z**2 + 5*z. Let m(b) = -5*g(b) - 3*y(b). Find the first derivative of m(n) wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z**(-1\/16))*z)))\/z**1*z**(-1\/3)*z*z\/(z\/z**6) assuming z is positive.\nAnswer: z**(323\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/891*(-2)\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1162, -4\/5, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 2*u + u + 7)*(171*u**2 + 34*u**3 - 171*u**2) as n*u**3 + i*u + k*u**2 + y + x*u**4 and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 197*g**2 + 139*g**2 + 3.\nAnswer: 336*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10859?\nAnswer: 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056548977 to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10466 and 11.\nAnswer: 115126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2905 + -87149\/30. Let u(s) be the third derivative of -1\/60*s**6 + 1\/12*s**4 + z*s**5 + 0*s + 0 - 1\/105*s**7 - 12*s**2 + 0*s**3. Solve u(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55042 and 200564.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18661*-19.\nAnswer: -354559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:11 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 6 - 3 = 5*z, 5*i - z = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3505 = 3*s, -4*s = z - 3775 - 894. List the prime factors of s.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32149 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: Suppose 4 = -0*y - y - 3*p, 0 = 4*y + 2*p + 26. Let a = 1 - y. What is the smallest common multiple of 18 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2*m**2 + 2*a**2 - 7*m**2 + 94*m wrt m?\nAnswer: 16*a**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59138371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9552 - -9548. Let f = 18 + -27. Sort f, z, 3\/4, -2 in increasing order.\nAnswer: f, z, -2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 - 3*f + 5. Determine z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-32)\/12)*2\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*n*z**3 + 765*n*z**2 - 2*n - 2*z**3 + 37006*z wrt n.\nAnswer: -24*z**3 + 765*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 22. Let b be n(-22). Solve 0 = -3*f - 3*k + 9, b = 4*f - 0*k + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346835 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = 3*l, 4*s + 4*l + 4 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let a(b) = 5*b + 2. Let u be a(o). Suppose 0*n = n - u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 329 - (8 + (-6 - -2)). Suppose 0 = 10*p - y - 615. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {s: 2, z: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3657 = 15*o + 282. What is the highest common factor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let o(a) = -5*a**2 - 2*a - 2. Let k(w) = -11*w**2 - 4*w - 5. Let x(t) = c*k(t) + 5*o(t). Find the second derivative of x(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12 = -2*u + 40, -3*u + 4*j = -38. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (130\/11 + (-2)\/(-11))*(-2394)\/(-532). What is the greatest common divisor of 17307 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408790173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 118?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.237, 46, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**3)\/s)*s**(2\/7))\/(s**(-2\/3))**(-1\/82) assuming s is positive.\nAnswer: s**(-1483\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 29. Suppose -a*y = -10*y - 5. Let q = 0.2 - 0.6. What is the nearest to y in q, -3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(76) + -5 + -3 + sqrt(19) + -2 + 1*sqrt(1539) + 5)*1)**2.\nAnswer: -120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2787 (base 10) to base 16\nAnswer: ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/5 (b) 0.09 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + (16 + 4 + -18 + -2 - 7).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943*a**2 + 6*a**3 + 943*a**2.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 18, 5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16417\/3 - 5473. What is the nearest to u in 2\/7, 5, 14, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 140111732 and -0.113268.\nAnswer: 140111731.886732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29752 is divided by 9910.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1)\/(-5) - (-5106)\/(-30). Let a = -2121 + l. Let u = 36671\/16 + a. Is 0 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 17*b**7\/210 + 137*b**3\/2 - 5*b**2 - 25. Differentiate n(m) wrt m.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7950 and 90.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 556\/15. Suppose -3*g + 3 = 3*l, -40*l - g + 1 = -35*l. Is l equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16836 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5099953?\nAnswer: 1097, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60381 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: Convert 5 (base 6) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507364.011 minutes to weeks.\nAnswer: 50.33373125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let o = -504 + 30241\/60. Let p(h) be the third derivative of h**2 - o*h**5 + 0*h**4 + 0*h + 0 + 0*h**3. Give n(p(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 4. Let c be k(2). Suppose -4 = -c*t + 4*i, -5*i = -5*t - i - 14. Is 29 a factor of (((-58)\/(-3))\/1)\/((-4)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 40 = -5*q, 10*d + 13 = 2*q + 7*d. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p**3 + 5*p**2 - 49*p - 5. Let f(k) = 7*k**3 - 2*k**2 + 25*k + 2. What is -2*a(g) - 5*f(g)?\nAnswer: -5*g**3 - 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:54 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007679 minus 0.3?\nAnswer: -0.292321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*z + 8 - 35 = 0, 2*y = 2*z + 12. Suppose -x = 2*u - 6, 0 = 2*u + y*x - 2. What is the remainder when 66 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 27 = -3*h + 11, -5*f = 2*h - 31. Solve 0 = -t - 3*v, h*t - v + 6*v - 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 43455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 + 570. Calculate the greatest common factor of s and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 6*d + 1. Let h(p) = -p**2 - p. Let g(b) = 5*h(b) + s(b). Let i = 14 + -10. Suppose -i*t - 25 + 21 = 0. Give g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*k**3 - 30*k**3 - 28*k**3 - 30*k**3 - 27*k**3 - 36*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 123. Determine u(-32).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5. Let v be u(4). Let x = v + 0. Suppose -4*q + 8 = 4*c - 4, c - x = -3*q. Solve -5*z - q*w - w = 5, z + 2*w + 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 3*z**2 + 5*z + 6. Determine s(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -56*v**5\/5 + 3494*v**4\/5 - 32124*v**3\/5 - 21186*v**2\/5 + 3672*v\/5 = 0.\nAnswer: -3\/4, 0, 1\/7, 12, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 16. Let j be n\/(-8) - (-6)\/(-8). Let t be 10\/8*2*j. Put t, 3, -2 in ascending order.\nAnswer: t, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 146 + -9d?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/4)\/((-657)\/2628). Solve -11*v = -f - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*c + 85 = 0, 237*c - 234*c - 61 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/((-7)\/56). Let v(p) = p**2 - 4*p + 4. Let h be v(q). Suppose -4*o + 4*g + 48 = h, -2*o - 40 = -7*o - 5*g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-4\/13)*f*f**(-2\/53) assuming f is positive.\nAnswer: f**(1564\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsy when three letters picked without replacement from {y: 2, d: 1, w: 1, j: 4, b: 7, s: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, h: 10}. Give prob of sequence yyh.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 20. What is b(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 102, 208, 334, 468, 598, 712?\n\"Answer: -2*w**3 + 28*w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 1011577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-4*v + 36 - 36)*(-3 + 5 - 4) + 100*v - 127*v + 565*v.\nAnswer: 522*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4845369.071 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*o - 1 = 2*z - 165*o, 0 = -4*o + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40)*65)\/(30\/(-456)*19)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1792*b**2 - 6531998 + 45*b**2 + 6532000 in the form t*b**2 + r*b + h and give t.\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -17.44. Let l = -0.26 - g. Let v = l + -1.21. What is v rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + 0 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/1050 and 88\/2751.\nAnswer: 137550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79058962 by -39529481.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17194162.\nAnswer: 2, 8597081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 7. Let d be k(-6). Let o be d*3 + -11 + 8. Suppose 0 = 2*s + o + 12. Is s greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*y, -2*j + 34 = 5*y - 1. Let g be ((-1)\/(-2))\/((-1)\/(-6)). Solve 4*w = y*r + 12, g*w - 14 = 2*r - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w. Let u(d) = 40*d. Let l(n) = -6*u(n) + 34*z(n). Let r(t) = -2*t**2 - t. Determine r(l(b)).\nAnswer: -8*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14010 - 13971.932. Let i = s - 0.068. Let d = i + -37.99987. Round d to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*r - 40 = -2115*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -115?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1260010.\nAnswer: 3\/630005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/20 + i**4\/4 - 5*i**3\/6 - i**2\/2 + 2*i. Let l be m(-4). Suppose 33 = -l*w + 99. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.08 - -0.08. Let i(d) = -3*d - 3. Let y be i(3). Let v = y + 9. What is the second smallest value in o, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-2*c + c + 0*c) + 34*c + 27*c - 55*c - 3.\nAnswer: 7*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -241, -96, 113, 380?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4110.1342 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 25. Calculate b(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yty when three letters picked without replacement from {t: 5, y: 5, h: 8}?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615584 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3642, 7154, 10534, 13782, 16898?\n\"Answer: -66*j**2 + 3710*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 4*g + 2. Let a(p) = 3*p + 11*p - 5*p**2 - 2*p + 2*p**2 + 5. Let n(v) = 3*a(v) - 8*c(v). Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 6)\/((-2)\/4). Let t be ((-32)\/18)\/u - 2748\/108. Put -4, -2, t in ascending order.\nAnswer: t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 - -2) + 1)\/((-7)\/(-35)). Solve 4*n + 4*u = 6 + 2, a*u - 7 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 29. Suppose 2*t - 39 = 5*g, -3*g + 0*g = 4*t - k. Calculate the remainder when 25 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 0 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167563931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyvqamqyj. Give prob of picking 1 q, 1 a, 1 j, and 1 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = -r - 130 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 2*f + 2*f)*(14292 - 14292 + 223*f).\nAnswer: -446*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45236, 90489, 135758, 181049, 226368, 271721, 317114?\nAnswer: 362553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11729563 to the nearest integer?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 6715.1.\nAnswer: 6715.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53657281 to the nearest integer?\nAnswer: 7325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -176519012111 - 0?\nAnswer: -176519012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26581 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 136 - (-35 - (39 + -156))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 2577*s**4 + s**3 + 5*s**2 + s - 59 wrt s?\nAnswer: 120*s**2 + 61848*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1533944 * -3.\nAnswer: -4601832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyooeyhohheyos. Give prob of picking 1 h, 1 o, and 1 e.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-10)*5\/(-2). Suppose -8*y + 465 = 489. Sort -5, b, 0, y in decreasing order.\nAnswer: b, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133406089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + y - 166 = 0, i - 61 = -0*i + 5*y. Suppose -i = -4*m + 5*r, 4*m = -r - 2*r + 105. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51165 + -2022?\nAnswer: -53207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = -f, 3*f = -4*w - 4 - 5. Put f, -0.3, 3, 1\/4 in descending order.\nAnswer: 3, 1\/4, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 331776?\nAnswer: 1658880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -13 (b) 1 (c) -10\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1999160 and -145\/984.\nAnswer: 5997480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3819 + 3823. Let i(r) be the first derivative of 7*r + 17 + 0*r**3 + 9\/2*r**k + 0*r**2. What is the derivative of i(d) wrt d?\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.45 - -0.27. Let y = 8587.319 - 8588. Let c = y + z. Is 0 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856422599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:33 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 864, 3175, 7028, 12423, 19360, 27839, 37860?\n\"Answer: 771*r**2 - 2*r + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8892 = -3*y + n, 2948 = y + 8*n - 3*n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.8. Which is the closest to 1? (a) -2\/11 (b) 0.8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 25 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(9*9\/81).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 5*s**5 - 3*s**5 + (-4*s**2 + 2*s**2 + 0*s**2)*(-3*s**3 + 6*s**3 - s**3) + 9*s**5 - 4*s**3 + 4*s**3.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-88)*-11)\/((-2)\/16). Suppose 2*t + 3*h - 4 = 7*h, -5*t = -3*h - 10. Let i(s) = 0 + 33*s**t - 2 - 32*s**2 + 2*s. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -27*y - 10. What is t(-5)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17782*b - 17779*b - 20 = 5*i, 4*i + 3*b = 22 + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 784.47 - 781. Let v = 3.3 - z. Let h = v - -0.169991. What is h rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 3*j - 9. Let i(s) = -s**2 + 2*s - 5. Let g = 40 + -33. Let x(f) = g*i(f) - 4*n(f). Determine x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**7\/10 - 8*u**6\/25 - 33*u**5\/100 - u**4\/10 + 8*u + 1. Suppose o(f) = 0. What is f?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*q = -4*s - 340, 5203*s - 25 = -2*q + 5204*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, -22, -180, -336, -490?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-7)\/(-231)). Let g = -9 - r. Solve -s + 3*c + 2 = -0*c, -4*s - 2 = -g*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316065 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - (-5)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -413028684*p**4 - 310078932 wrt p?\nAnswer: -1652114736*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:13 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*c + 803 + 207 = 0. Solve 3*n + f + 17 = c*f, 2*n = -2*f - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 + 4)\/(1\/4). Sort 2, 0.2, p in descending order.\nAnswer: 2, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8740)\/(-360))\/(-23) + 2*2\/(-9). Let u = 665\/8 - 83. Sort k, u, -1\/4, 0.5.\nAnswer: k, -1\/4, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -9 + -7 - (1 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 46*v + 526. Let i be g(-27). Solve -2*r - 21 = 3*y, -5*y - 5*r - i = 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*h - 3*t, 0 = 3*h + 4*t - 0*t - 119. Is h*((-1)\/(-1) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(110)\/sqrt(160) - sqrt(11)) + 3)**2 - (sqrt(176) + 3 - (-3*sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: -8*sqrt(11) + 51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5107.69 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 419 in increasing order.\nAnswer: -5, 2, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24\/5*k + 0*k**2 - 14\/15*k**3 + 2\/15*k**4 = 0. What is k?\nAnswer: -2, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36709 = 135*s - 1136*s - 43165 + 7802 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let j(f) = 91*f**2 - 1. Determine j(a(r)).\nAnswer: 364*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 22\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.123410967 from 1764.99.\nAnswer: 1764.866589033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/5 - 76160*b - 380802\/5 = 0 for b.\nAnswer: -1, 190401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d + 489. Let i be 0\/((9\/(-6))\/(4\/8)). What are the prime factors of j(i)?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33681648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 7. Let a(y) = -5*y - 8. Let b(n) = -5*a(n) + 6*d(n). Give b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101011000101101 + -10?\nAnswer: -101011101011000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*n**4 - 213*n**3 + 21*n**2 + 4977*n wrt n.\nAnswer: -3264*n - 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*u, -5*v - 3*u = -2*v + 3. Suppose -6*p - 42 = -0. Are p and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + (2\/(-2) - (-7 - -1)). Suppose -3*a + 40 = -314. Is a\/4 + (-1)\/p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(392)*-4 - (sqrt(16)\/(sqrt(8) - sqrt(392)))**2*6.\nAnswer: -56*sqrt(2) - 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -18. Let m(w) = -w**2 + 16*w - 7. Let o be m(16). Let c = o + h. Put -7, c, -4 in decreasing order.\nAnswer: c, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76208, -152066, -227904, -303722, -379520, -455298, -531056?\nAnswer: -606794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c**2 - 2654*c + 2238. What is z(-107)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 14 = -5*w. Suppose 46 + w = 3*x. Solve -x = 5*d - 2*o + 8, 0 = -2*d + 4*o - 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 33 = -24*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -950000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26730 - -26715. Sort -2, 3, -191, -1, u in increasing order.\nAnswer: -191, u, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*(-9570)\/1160.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 6*g + 5. Let m be k(6). Solve 5*w + 15 = -m*b, -3*b + b - 3 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13759*c**3 - c + c - 13191*c**3 + (0 - c + 0)*(-3*c**2 + 0*c**2 + c**2) - 3*c**3 + 3*c**3 + c**3.\nAnswer: 571*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-6)*(-3)\/2. Let a(w) = -w. Let i(p) = p. Determine f*a(l) + 6*i(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3108 + -3108. Let t = -3 + 7. Solve o = t*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:56 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5*y - 6. Let i be p(6). Let q be (1*154 - -1) + i. Suppose -3*g + 8*g + q = 5*u, -5*u + 161 = -2*g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 7*p**2 - 4*p - 1. Let b(h) = 2*h**3 + 12*h**2 - 7*h - 2. Let y(t) = -3*b(t) + 5*c(t). Let z be y(-1). Solve w - 5*w - 8 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0c - 2?\nAnswer: b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {t: 11, a: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z = 38*z + 352 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 813, 915, 1017?\n\"Answer: 102*k + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(96) + sqrt(28)*1 + -3.\nAnswer: -3 + 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23101833 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66020475305 - 0.041.\nAnswer: 66020475304.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -18494615440 to the nearest 1000000.\nAnswer: -18495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(-1362)\/3405\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1283424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 3*(sqrt(272) - (-4 + sqrt(272))) - 1*sqrt(272)*1) + (sqrt(272) - (-1 + sqrt(272) + 2) - sqrt(272)*2*-4)*-3)**2.\nAnswer: -2880*sqrt(17) + 156897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 7) to base 3\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266407?\nAnswer: 17, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 900398 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 211, 353, 527, 733, 971, 1241?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 7 (c) -426551 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4*c + 4*c)*(-3*c**4 - 3*c**4 + 4*c**4 + (-c**3 + 4*c**3 + c**3)*(3*c + c - c)).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0940608 months?\nAnswer: 0.0000078384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848*c - 51 = 831*c. Suppose 20 = 5*k - 0*k. Solve 10 = -3*y + 4*t, -k*y + 3*t - 8 = c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 - -1563. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1097.36665 + 1097. What is r rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/129, -3\/4, -2\/3.\nAnswer: -3\/4, -2\/3, 2\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 28, 48, 72, 100, 132, 168?\n\"Answer: 2*w**2 + 10*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054063.\nAnswer: 11, 186733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36867314377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*l + 12, -4*f = 12*l - 15*l - 12. Suppose -h + 35 - 11 = f. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(9\/6)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 4, -14, 4\/315?\nAnswer: 4\/315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 921 = 3*l + 2409, 1680 = k - 4*l. Calculate the greatest common divisor of 99 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (126\/15 - 4)*(4 + 5 + -4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r - 48 = -55*r. What is the lowest common multiple of 14 and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284770872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3674406, 3674405, 3674404, 3674403, 3674402?\nAnswer: 3674401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:52 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-1)*18\/15*680\/(-612)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16700 = -4871*j + 4203*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzq when three letters picked without replacement from {z: 1, y: 2, q: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462189405?\nAnswer: 5, 1487, 196663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 25, 1.\nAnswer: -5, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 4544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278702, -278723, -278744, -278765?\nAnswer: -278786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 841 = y + 2264, 2*r - 2*y = 3106. Let x = r - 491. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 18*v + 39. Does 38 divide r(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6210504 divided by 5.\nAnswer: -6210504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2 + 32*w - 115072 = 0.\nAnswer: -248, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 1. Let i(q) = q - 4. Let r be i(3). Let a = 84 - 78. Let n(o) = o. Determine a*n(t) + r*j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 4) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 13*b + 67. Let d be o(16). What is the highest common factor of 184 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Suppose -5*p - 48 = u - 3*u, 5*u - 86 = t*p. What is the greatest common divisor of u and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0, 9.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**3 + 8*a**2*f**3 - 123*a*f**3 wrt a?\nAnswer: 48*a + 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Find the second derivative of a**2 - 4 + n - 3*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/5 - 3*o**3\/5 + 3*o**2\/5 + 7*o\/5 - 6\/5.\nAnswer: -(o - 1)**2*(o + 2)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -1\/120*b**6 + 0 + 1\/24*b**4 - 1\/2*b**3 + 1\/12*b**5 + 0*b + 2*b**2. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 + 146302?\nAnswer: 146377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 - 157 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 643\/5 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6542 and 4.89339125.\nAnswer: 6546.89339125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 0*d - 2*d + 1 + 4*d + d**2. Let t = -6 + 9. What is the remainder when t is divided by m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + 8*r - 7. Let f(c) = 2*c + 16. Let h be f(-4). What is the units digit of b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 4. Suppose 3*y - u = 14. Solve 3*p - y = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -34, 0, -241 in ascending order.\nAnswer: -241, -107, -34, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206786638.\nAnswer: 2, 103393319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 3. What is the tens digit of ((-6)\/v)\/((-2)\/90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-3)\/6*3. Suppose 0 = -p*z + 9, -4*z + 12 = -5*l + 4*l. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 7*a**2 + 2*a**4 - 6*a**4 + 3*a**4 - a**4 + (3*a**3 + 3*a**3 - 4*a**3)*(2*a + 0*a - a) + 4*a**4 + 0*a**4 - 3*a**4.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22706015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.049 - 0.065. Round u to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 3*g - 2. Let q be z(2). Suppose -q = -2*w - 2*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754237 (base 8) in base 3?\nAnswer: -1110102221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1986)\/124 + 258\/15996.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -32. Solve -q*g + 2*z - 13 = z, -4*z = -4*g - 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:26 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96266.46 millilitres?\nAnswer: 96.26646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + b = 2*g - 18, -5*g + 48 = -4*b. Differentiate 3*z - 112 - g*z**2 + 131 - 2*z**2 wrt z.\nAnswer: -20*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(162) - (0 + sqrt(162) + sqrt(162))) + 1 + -1*sqrt(162)*3)*1*4 + 3)**2.\nAnswer: -2016*sqrt(2) + 41518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/997?\nAnswer: -39\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9)\/m**(-4\/5)*m*m*(m**32\/m)\/m*m*m*m*m**(-4\/7)*m*m assuming m is positive.\nAnswer: m**(1653\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 21*f + 5. Let i be d(-21). Solve 0 = 5*y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzy when three letters picked without replacement from {i: 3, y: 2, p: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7728*j + 39298. Give i(-5).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47247289 a multiple of 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**4 - 351*n**3 - 116216*n**2\/5 - 92124*n\/5 - 18368\/5 = 0.\nAnswer: -41, -2\/5, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnttbqtt. Give prob of picking 1 n, 1 t, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6147 + 14372. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 = 2*k. Let n be (k\/16)\/((-4)\/(-8)). Put n, -0.4, -1\/2 in descending order.\nAnswer: n, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**6)\/t))\/t*t**(2\/11)*(t*t**(-1))**(1\/30)*((t*t**(-2\/7)\/t)\/t)\/(t\/t**(-3\/5))*t**(3\/4)*t*t**(-6) assuming t is positive.\nAnswer: t**(-19949\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-117)\/195*11\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*j = 175126, 5*j - 82306 = 4*o - 222399. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212134*t + 476794 wrt t?\nAnswer: 212134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 81. Let m = 10 + -6. Suppose -87 - q = -m*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*q**2 - 5*q**3 + 112*q**2 + 19*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, 2, -13071, 5.\nAnswer: -13071, -5, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 3*f**4 - 1 + 3*f**2 + 5*f**4 + 3 as u + o*f + h*f**2 + r*f**4 + n*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 73003 - 1\/(8\/12)*2. What is c rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:47 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 357322032 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 <= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114 or 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1*(-1 + -15). Let p be 2 - (-7)\/(35\/(-800)). Let b = 158 + p. Solve 4*j + b*j = -y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.822, -764\/13, 19\/5?\nAnswer: -764\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5837743\/128 - -45607. Calculate the common denominator of -39\/512 and z.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -11443, -1, 5 in decreasing order.\nAnswer: 59, 5, -1, -11443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19025 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - y**2 - 4*y + 5. Let b be c(1). Factor 2\/3*k**b + 2\/3 + 4\/3*k.\nAnswer: 2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7296155 less than 0.243454?\nAnswer: -7296154.756546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -1\/2*m**2 + 1\/3*m**3 - 1\/4*m**4 + 8*m + 1. What are the prime factors of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.612863489 rounded to two dps?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 319721131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1119\/3 + -3 - 1. Let c = 417 - j. Suppose 151 = 5*k - 9. What is the highest common factor of c and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 - 3*b**2 - 6*b + 9. What is the least common multiple of w(-3) and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 49*c**2 - 2*c - 1. Let w be x(-1). Let n = -1 + 5. Suppose -n*y + 335 = y + 2*g, -y = -3*g - w. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 9. Let x be -1 - (12\/8 + 3)*-2. What is c(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m + 7. Suppose -4*w + 6 + m = 0. Let n(v) = 9*v**2 + 101*v - 99. Calculate the remainder when n(1) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((-111)\/113 + 1) is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -266*r + 77. Let s(j) = -7*j + 2. Let y(g) = -77*s(g) + 2*w(g). Let m(a) be the third derivative of a**5\/60 + a**2. What is y(m(p))?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 5, -1, -106, 3 in ascending order.\nAnswer: -106, -1, 3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34013 (base 6) to base 7.\nAnswer: 16611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 103742177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h - 2*h)*(-17*h**3 + 20*h**3 - 3*h**2 - 3 + 2) to the form j*h**4 + x + s*h + v*h**3 + m*h**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12 and 89\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1.24.\nAnswer: -9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45341255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.017*-5.58837\nAnswer: 0.09500229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let t = 2 + r. Are -3 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {f: 1, e: 6, l: 4, j: 1, z: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 966509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuqqxxuuxqx. Give prob of picking 3 u and 1 q.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 23*n + 8. What is the remainder when h(3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*112\/(56\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 - i - 4. Let y be b(-9). Solve -7*c + 2*c - 3*r + 11 = 0, -y*c = -2*r - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304020 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 275496 (base 11) to base 14\nAnswer: b3533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from {f: 4, r: 7, t: 2}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-10) + 32\/10. Put 12, p, -2 in increasing order.\nAnswer: -2, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 21*j + 107. Let b be m(-7). Let i(p) = 4*p - 4. Let u(t) = -17*t + 16. Calculate b*i(r) + 2*u(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l. Suppose i = -3*p + 8, -10 = -2*p + 2*i + 2*i. Let h(w) = -15*w. Calculate p*h(y) + 5*n(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1154 divide 20898940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + -8 - 7*-2. Let x(a) = 17 - 4 - 2*a - c. Let d(f) = -f - 2. Let k be d(1). Give x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a + 7. Suppose -12*t - 14*t = 78. Let c(m) = -4*m - 3. Calculate t*z(g) - 5*c(g).\nAnswer: -g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 60*u + 858. What is x(20)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -6)\/(9\/(-6)). Suppose -z + 135 = k*z. Suppose 3*n + 2*w = 44, -4*n + z = 4*w - 7. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 67. Suppose -4*a - a + 2*r = -11, j*a - 11 = -r. Solve a*u - 6*u - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10961.661 + 10936. Let k = -25.6 - d. What is k rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26112\/11 + -2376. Let g = -280 + -154. Let r = g - -2178\/5. Find the common denominator of r and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34*r**3 - r**2 - 2*r + 1. Let m be j(1). Let y = -43 - m. Let o(g) = -14*g - 24. What is the tens digit of o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2110 + -21019\/10. Find the common denominator of 65\/3 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001001001 + -10?\nAnswer: 10010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -55*n**2 + 383*n + 37. Determine r(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 42*z + 9. Let o(p) = 20*p + 4. Give 2*k(q) - 5*o(q).\nAnswer: -16*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11742 + 29897 = -5*c. Let x = c + -4169. Round x to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -14. Let y = -12.5 - f. Suppose -3*r + 5*d + 20 = 0, -3*d - 1 = 2*r + 11. Is y less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 76.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94 * 0.35\nAnswer: -32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {e: 3, o: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/2448 and 226\/32*427\/(-72590).\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.369, 4\/5, -3 in ascending order.\nAnswer: -3, 0.369, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/5 of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 10709?\nAnswer: 10706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -2\/13, -0.5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/((-44)\/(-99)). Suppose -2*p + j*p - 57 = 0. Let n be p\/(-84) - 9\/12. Is n greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1468 divided by 314066.\nAnswer: 734\/157033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 12) in base 15?\nAnswer: 23e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -441, -442?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414521635.\nAnswer: 5, 11, 7536757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 + 7*t - 8. What is the tens digit of p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 8*g - 10. Let q(i) = -5*i**2 + 16*i + 19. Let m(c) = -7*n(c) - 4*q(c). Let b be m(-6). Let j(d) = -d**2 + 7*d + 7. Is j(b) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let v be 3 - (1 + s + -1). List the prime factors of 2\/(v\/10) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l)**(8\/7)\/((l*l\/((l**(4\/7)\/l)\/l)*l)\/(l**(-1\/4)*l)) assuming l is positive.\nAnswer: l**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 521 + 20*y**2 + 522)*(y + 0 + 0).\nAnswer: 24*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*sqrt(363).\nAnswer: -33*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.4. Let o be (-94)\/799 - (-5)\/((-255)\/(-6)). What is the closest to w in o, -1\/3, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126460865.\nAnswer: 5, 19, 683, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:23 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xywwwmyswbwmy. Give prob of sequence xb.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -87856?\nAnswer: 87853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 1, g: 2, m: 3, x: 3, c: 1}. Give prob of sequence dcxm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -681, -972, -1229, -1452, -1641?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 2*c**2 + 1. Suppose 0 = 4*f - j - 7, -2*f - 2*j + 8 = 2*j. Let h be (-1)\/2*1*(f + -4). Determine p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.893 + -1.\nAnswer: -4.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -1 - (-18)\/2. Suppose -r = -4*y + q*y + 5, -5*y = 4*r + 8. Suppose -r*s + 212 = -4*p, -3*s - p + 270 = s. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*i + 22, -q + 3*i + 18 = 2*q. Does 7 divide (-5)\/q*168\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19446 and 259.\nAnswer: 719502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**3\/3 + 7*t**2\/2 + 3*t - 78. What is k(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354995?\nAnswer: 3, 5, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l. Let w(s) = 4*s - 6 + 5 + 1. Give k(w(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 59 - 29 = 0. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89518 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/(10\/(50\/(-5))). What is the nearest to -2 in 23\/5, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181549815?\nAnswer: 3, 5, 2521, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304\/7*m**2 + 52\/7*m**4 - 152\/7*m**3 - 4\/7*m**5 + 1056\/7*m + 1152\/7 = 0 for m.\nAnswer: -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -13, -0.93, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 9. Suppose 4*x = -4*p + 24, 0*p + x = 4*p - 24. Let h be u(p). Let s(c) = -c**3 + 4*c**2 - 3. Calculate s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:38 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170*h*o**2*x + h*o**2 + 320*h*x**4 - o**2*x**4 wrt x.\nAnswer: 3840*h*x**2 - 12*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 + j + 77. Let l be k(0). Suppose -4*x = p + 64, -4*p + p = x + 203. Let c = l + p. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332 and -8.\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4870 minus 1.1858514?\nAnswer: 4868.8141486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 7*h**2 - 2*h - 8. Let a be l(-7). Suppose 16*n = -20*n + 11664. Suppose a*b + n = 9*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 3*w - 4. Let p be b(-2). Let f(s) = -s + 90. Let o be f(0). Suppose -o*x + 87*x = -210. What is the highest common factor of x and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44080, 42976, 41872, 40768, 39664, 38560?\n\"Answer: -1104*x + 45184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725*m**2 + 1724*m**2 - 5173*m**2 + 1723*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113832 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/(90\/400*-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v)**(-22)\/(v**(-2\/3)\/(v*v**(-9))))**4)**(-41) assuming v is positive.\nAnswer: v**(-7216\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.25084296 to one decimal place.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06197982 - -88.\nAnswer: 88.06197982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2219512.5824 to the nearest 100.\nAnswer: 2219500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, -2*m + 7*m - 1002 = -2*y. Suppose 0 = 5*b - 3*j - 418, 0 = 2*b - j - m + 34. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -947270 to the nearest ten thousand.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 217 + 275 = 0. Suppose 3*z = -19 + 25. Is 2 + x - 1 - z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 816, -4, 36 in descending order.\nAnswer: 816, 36, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 14. Suppose a - 166 = w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8*v = 0. Is v bigger than -1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 9. Let g(r) = 10634*r**2 + 19 - 5319*r**2 - 5319*r**2. Determine 7*c(t) - 3*g(t).\nAnswer: -2*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129 is divided by 1077?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 1171*a**7\/210 - 13*a**4\/4 - a**3\/2 + 294*a**2 + 2*a. What is the second derivative of h(x) wrt x?\nAnswer: 14052*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-330)\/195)\/11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -11, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.1, 1, -2\/5, 4\/9, 1613?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g + 35*g + 32*g + 43*g - 205*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**3 - 2. Let k(p) be the first derivative of 0*p**2 + 1 + 1\/3*p**3 + 0*p. What is k(s(m))?\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9243829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*s - 32*s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) - 225\/18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*m = -1820, 233 + 857 = -3*n - m. Let o = -4717\/13 - n. What is the closest to 1 in 3, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1521, -1534, -1547, -1560, -1573?\n\"Answer: -13*g - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/54)\/(100\/280).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 431*y**2 + 4*y + 4. Let g = -5 + 4. Is v(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w. Let z be a(0). Suppose z = 7*x - 32 - 3. Find the third derivative of 4*q**5 - 11*q**6 - 7*q**x + 8*q**2 + 3*q**5 wrt q.\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 1759*y - 12166. Calculate q(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450391 is divided by 241730.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arnrnannrn. What is prob of sequence ann?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.53 - 22. Let s = -0.3933 - 0.1037. Let v = s + b. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**4\/5 - 1857928*z**3\/5 - 71923179024*z**2\/5 - 134225348184*z - 215717518116\/5 = 0.\nAnswer: -77409, -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 52*h**2 + 2. Let y(q) = -23*q**2 - 1. Let v(w) = 3*o(w) + 5*y(w). Let u(x) = -23*x. Calculate u(v(z)).\nAnswer: -943*z**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 1 q when three letters picked without replacement from tfotffttvowqvfotoqqq.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-102)\/(-8) - 3\/(-12). Let f = 16 - a. Suppose -74 = -l - l + f*r, -3*r + 96 = 3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4152040 (base 7) to base 6\nAnswer: -14415214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14106, 36868, 59640, 82428, 105238, 128076, 150948, 173860?\nAnswer: 196818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = w - 31, 3*t + 46 + 95 = 3*w. Let h = w - 25. Let r(u) = -u**3 + 38*u**2 + 58*u - 2192. Calculate the remainder when h is divided by r(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269 + -100570.17.\nAnswer: -100839.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3200280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1352 = -129. Let x(m) = 414*m - 83. Let r be x(9). Suppose 0 = 2*q + r - o. Round q to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i - 2. Let t(w) = -17556*w - 969. Let f(y) = -798*y - 43. Let g(m) = -133*f(m) + 6*t(m). Calculate 2*g(k) - 95*h(k).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*h**3*t + 638*b*h**3 - 11*b*h**2*t - 82*b*h*t + 3*b*t + h**3*t - 1 wrt h?\nAnswer: 24*b*t + 3828*b + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:46 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -133, 97\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 12*r**2 + 3*r + 8. Calculate the remainder when 37 is divided by a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.85 - 16.15. Which is the smallest value? (a) 2\/39 (b) p (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*u - 36, 29 = -3*g + u + 75. Suppose -5*k - 3*j + 78 = 0, -k + 2*k - g = -j. Calculate the least common multiple of k and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/13, 2, -0.03, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.30124 + -4.30124. What is the closest to 3 in -5, 758, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8)*-1*-6. Let m be (a + 1)*(-2)\/4. Let h be -3 + 5 + m*-2. Solve h*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-528)\/32*(-2)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 - 8252*c**4 - 831476*c**3 - 17857828*c**2 - 17034600*c = 0.\nAnswer: -1958, -75, -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 62*l - 35. Let x be f(1). Suppose x*w - 3198 = 690. Calculate the remainder when w is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 50. Let j(f) = f + 17. Let k(y) = 11*j(y) - 4*n(y). Does 3 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38418*g*x**5 - 15*g*x**3 + 2*g*x + 45*g - 157*x**2 wrt x.\nAnswer: 2305080*g*x**2 - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -27, -2 in increasing order.\nAnswer: -27, -18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.22 - 1661.\nAnswer: -1670.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 310280*j - 6017104900.\nAnswer: -4*(j - 38785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -90\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 11*i - 10. Let f be n(-11). What is the units digit of (43\/(-2))\/(5\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 19*k**2 - 101*k - 150. Calculate s(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 - 5)*(2*y**2 + y**2 + 17*y**2) as d*y + m + l*y**2 and give l.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 + 798*r - 183. Calculate l(-100).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5625 - 5622. Solve -294 + 279 = -u*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(25944\/(-1739))*-12.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.661226 millennia to years.\nAnswer: 661.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1576 + 3803. Is 2227 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11682*v**2 + 49378 wrt v.\nAnswer: 23364*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10440 (base 8) to base 6.\nAnswer: 32144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.224357.\nAnswer: -0.624357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - -76. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 619256.\nAnswer: 1\/154814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t + 18. Let x(v) = 4*v - 9. Let k(f) = 6*d(f) + 13*x(f). Let o(l) = -1. Let u(c) = k(c) - 6*o(c). Let y(n) = -n. Give u(r) + 2*y(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + 58. Let x = q - -291. What are the prime factors of x?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:31 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/38 + 582\/(-114). Which is the third biggest value? (a) 0 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*t = 6, -3*p + t + 2*t = 6. Let k be (-2)\/(-15)*-303 - (-6)\/15. Let l = -39 - k. Solve q - 5 = x, 5*x + p*q + l = -q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mulumulummmummmulmu. What is prob of sequence mmm?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25508344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22562459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 49. Suppose 5*m - d + 3678827 = 1223831, 5*d + 1473020 = -h*m. What is m rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**3 - 11*c**2 + 11*c + 11. Let h(w) = -5*w**3 - 6*w**2 + 6*w + 6. What is 11*h(k) - 6*t(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceeeecee. What is prob of picking 1 c and 1 e?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/24 - -2 - 4. Let r = 37\/40 + l. What is the third smallest value in -0.3, 1, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + 0 + 75 + -71 + 0 + -7 + 3.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161.3 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1794750 and 10875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29225917 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175729, -175730, -175733, -175738, -175745, -175754?\nAnswer: -175765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 9 + (-7 - (-5 + -1)) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488099199.\nAnswer: 3, 7, 23242819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.15 (b) -2 (c) 4\/7 (d) 2.3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1279 + -2)\/(3\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 - 95a?\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/3 + 5\/3. Let h = -44.1 + 42. Let q = 1.1 + h. Which is the closest to q? (a) -2 (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125 is divided by 659?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 42*h**2 + 56*h - 19. What is the remainder when v(41) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243 + -217 - (42 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let n(s) = s**2 - 2*s - 5. Let y be n(i). Let q = 4 + 0. Sort -3, q, y in ascending order.\nAnswer: -3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109158456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -204, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 - -0.09. Let o = x - -0.2. Let g = -4.06 - -0.06. What is the nearest to o in -3\/4, g, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1933 = -5*n + 4*s, 6*n + s - 1559 = 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736970 is divided by 3378.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4480 and 1194445?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 89. Let m = o - -50. Let j = 46 + -46. Which is the smallest value? (a) m (b) j (c) 6\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1100100100101100011011?\nAnswer: -1100100100101100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/104876435 and 19\/911969?\nAnswer: 104876435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -527223, -4217837, -14235211, -33742725, -65903759, -113881693?\n\"Answer: -527230*z**3 - 4*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 2360, 5331, 9502, 14879, 21468, 29275?\nAnswer: 38306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.051*2029.\nAnswer: -103.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, 16 in descending order.\nAnswer: 16, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 3*m**4 - 2*m + (3*m**3 + 0*m**3 - 2*m**3)*(-4 + 4 + 2*m) + (3*m**3 + 3*m**3 - 8*m**3)*(-2*m + 0*m + 5*m) - m**4 + 2*m**3 - 2*m**3 - 2*m**3.\nAnswer: -2*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 2*f**2 - 2*f + 3. Let y be h(-3). Let o = -28\/5 + 51\/10. Is o != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2 - 5*j + 9. Is k(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*v + v - 4, -2*v = 5*f - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p. Let b(w) = w + 1. Suppose -z = -4*l + 3*z - 20, 5*l = 3*z - 19. Let o(r) = l*b(r) - j(r). What is the derivative of o(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*y + 2*d, -y + 0*y - 2*d + 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72517366.\nAnswer: 2, 36258683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 2*r + 6, 0 = 2*t - 3*r + 11. Suppose -t*s - s = -96. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 16) in base 8?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 6*g - 6. Let t be i(-4). Let p = -66 + -74. Let q = t + p. Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -559*v + 6013. What is the thousands digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - k + 2*k - 3 + 3 + (3 + 2*k - 3)*(0 + 2 + 0) + 0*k + 0*k + 2*k + 55 - 55 + 6*k)*(-2 + 2 - 2*k).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - 1.17. Let d = x - 0.15. Let w be (7\/35)\/((-3)\/(-5)). Which is the second smallest value? (a) w (b) d (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.032 and 3140.68.\nAnswer: 100.50176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39565 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -24 + 50*q + 24*q + 1 + 2 - 16*q. What is the hundreds digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 66*i**2 - 118*i - 109. Calculate t(-5).\nAnswer: -1544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000105203 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 135 - 51 = -44 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - k - 8 = -0*k, -5*k - 20 = -5*i. Let r = 3.95 - -0.95. Let p = -4.9 + r. Which is the closest to 0? (a) p (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 108836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 297*w**2\/2 - 148*w.\nAnswer: -w*(w - 296)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*-2 - sqrt(7))*-4.\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaaaaaz. What is prob of sequence aa?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 5, e: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f + 15 = 0. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5494.5 + -5495. Which is the nearest to 2\/9? (a) f (b) -8 (c) -3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**7\/42 + x**6\/6 - 29*x**5\/6 - 155*x**4\/6 - 105*x**3\/2 + 61*x**2. Determine q so that f(q) = 0.\nAnswer: -9, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320581 - i**3 - 320581.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -5*f**3 + 615. Let b(p) = -13*p**2. Determine w(b(h)).\nAnswer: -2535*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2, -37, 1, -5, 14 in increasing order.\nAnswer: -37, -5, 1, 2, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - ((8 - 15) + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g**2 + 3*g - 3. Give s(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 14.6. Which is the closest to 3? (a) -1\/2 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 2. Let x be y(6). Let k(s) = -2*s - 4 + 3*s**x - s + 4*s. Is k(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from sssmmssmmmssmmssmsmm.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 4*s + 11 - 31, -a - 5*s - 26 = -6*s - 19 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((1 - -6) + -9) - 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.4. Let z be (-4)\/16 - 2\/(-8). Which is the nearest to z? (a) y (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*r**5 - 7*r**4 - 9*r**3 + r + 813387 wrt r?\nAnswer: -2300*r**3 - 84*r**2 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*t = -2*y + 41, -5*t - 29 = -2*y. What is n in -15*n**4 - 9*n - 21*n**2 + 90 + 57*n**3 - y*n**5 - 90 = 0?\nAnswer: -3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01225 - 3.98775. Let z(g) = -4*g**2 - 2*g + 4. Let s be z(-5). Let m = s + 432\/5. Which is the second biggest value? (a) -5 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03685184 + 0.09885326. Let v = -0.047 - 0.015. Let i = v + s. Round i to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q + 43*q**5 + 4*q - 10*q wrt q?\nAnswer: 860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -458 + 23?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -33017.2\nAnswer: -6603.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 68. Let t be k(14). Let a = -97 - t. Let g = 4.99 + 0.01. Put g, -4, a in decreasing order.\nAnswer: g, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h + 7. Let p be s(7). Let b be (-298)\/14 - 10\/p. Let w = 6 - b. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 77 + 77)*(-2*z + 0*z + 0*z + (5 - 5 + 2)*(0*z + 2*z + 0*z)) + (3 - 2 - 2)*(-2*z**2 + 0*z**2 - z**2).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2808?\nAnswer: -2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 102, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -34. Let k(p) = 4*p - p**2 + 2*p + 3*p - 6 - y*p. Determine k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 16. Let z be p(15). Let u be (-2)\/2*-3*1. Sort u, 0, z in decreasing order.\nAnswer: u, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + -7 + (-36)\/(-4). Calculate the remainder when 381 is divided by -61*g\/3 + (4 - 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1822377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/(-18) + 8\/(-36). Suppose 80 = 4*g - 144. Suppose -2*o + 6 = 3*c, x*o - g = o + 5*c. What is the lowest common multiple of o and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/19 and -1*81\/21 + (-2)\/(-1)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 86. Let g = 89395 + -89391. Which is the second smallest value? (a) w (b) 2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17105*j - 4106*j + 72055*j + 48829*j + 13706*j.\nAnswer: 147589*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1803977?\nAnswer: 5411931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 0.8 (c) -1\/17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88172748 or -88172744?\nAnswer: -88172744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -3\/28777, 0.2, -0.056, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7*l = -6*l + 1, -2 = -2*u - l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b - 7. Let a(t) = -51*t + 33. Let f(c) = 2*a(c) + 9*o(c). Let x(u) = -1 + 0 + u + 1. Determine f(x(l)).\nAnswer: 6*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*z + 53*z + 114*z in the form o*z + v and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 43290.\nAnswer: -7\/14430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24594098 is divided by 1289?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -6575664796598?\nAnswer: -6575664796598.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 31*w**4 - 106*w**3\/3 + 126. What is the third derivative of l(o) wrt o?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by -6.\nAnswer: -335\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 1) + (-258)\/90. Let a = -2864\/49 + 101767\/1764. Let j = a + 15\/28. What is the closest to j in 1\/9, i, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 256\/48*((-2)\/(-2))\/(-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2893 and 782958?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02167 - 180.\nAnswer: -180.02167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 6*a**2 - 401*a - 1626. What is c(-4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 73518592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 808893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5273862842*o - 1 - 5273862843*o + 1.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = -s + 576. Let m(x) = -10*x - 3. Let c(b) = 1. Calculate s*m(j) + 6*c(j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 51*q**2 - 35*q - 123. Is r(-23) a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -28. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and -111\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3)\/(p\/p**(-1)))\/(p**(1\/4)*p\/((p**(-2\/5)\/p)\/p)*p))**(-1\/28))**(-8\/9) assuming p is positive.\nAnswer: p**(-193\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41752095 divided by -10747.\nAnswer: -3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16658 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: Suppose -15*x + 121 = -44. Suppose 8 = o - x. What is the remainder when 53 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/6*2\/15. Let w = 45 + -36. Let p = -8 + w. Put k, 2\/7, p in ascending order.\nAnswer: k, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 1 = 3*c, 4*i = -c + 624 - 647 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {o: 1, b: 2, p: 4, w: 2, i: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 16 = 2*g, 2*a = -4*g + 8. Suppose -6*y = -4*y - 3*m + 4, y - m = -1. Let s = y - g. Are 1\/3 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 7448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 10 = -38*a, -g = 4*a + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*4)\/((sqrt(90)*2)\/sqrt(9)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -4 (c) -8 (d) 6\/349\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.72. Let g = 7.28 + v. Which is the nearest to -1? (a) -0.2 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 64*u - 433. Let i be q(7). Put -1, i, 4 in decreasing order.\nAnswer: i, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -941788 in descending order.\nAnswer: 9, -1, -941788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 2. Let c(g) = -g**3 + 11*g**2 + 14*g - 11. Let n be c(12). Let a be i(n). Solve -x + a = -3*o - 5*x, 4*o - 4*x + 24 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12069 and 4374.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Find the third derivative of -3 - 2*s**g + 3*s**2 + 3 - 4*s**4 wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-100))\/(((-50)\/(-10))\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*i**2 - 7*i**3 + 102*i**2.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536837 is divided by 2097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -126*n**2 - 27*n - 408. Let a(p) = 23*p**2 + 5*p + 74. Give 27*a(o) + 5*b(o).\nAnswer: -9*o**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*o = -1539*o + 766*o - 3025 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(16)\/sqrt(2)) - (sqrt(10)\/sqrt(2) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4\/(-128)*2). Suppose 0*z = z - m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.7 + 12.72. Suppose -19*n = -13*n - 18. What is the fourth biggest value in n, -2\/11, 4, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 39 - 3 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -3 - 15) + 2 + (7 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222618213 to the nearest integer?\nAnswer: 14920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*s + 24 = r, -5*s = 0. Let m be (0 - 1) + r\/2. What is the greatest common factor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-9 + 2 + -2 + 6 + -3) - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7200.79 and -1425.9?\nAnswer: 5774.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/5, -339, -0.5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/6921 - -629795\/55368. Calculate the common denominator of 22\/(-20) + -1 + 2 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497640 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*i + 2*i**3 - 2 - 40*i + 945*i.\nAnswer: 2*i**3 + 1322*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010010111 (base 2) to base 16.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5638 = 12*o - 8570. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*t - 7*t - 15, -j = 3*t + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 3. Let g be a(-5). Suppose g*j - 77 = 1. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 + -9.2. Let f = 13.13 + i. Let q = f + -1.2. Sort -3, q, -0.2 in increasing order.\nAnswer: -3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -5*a + 208*v - 203*v, -3*a - 53 = -4*v + 79 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8205594 or -8205629?\nAnswer: -8205629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -9 - 12\/5*p**5 - 9*p**2 - 4*p - 1\/3*p**6 - 32\/3*p**3 - 7*p**4. Factor r(i).\nAnswer: -2*(i + 1)**4*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.81 + 45. Let g = v - 0.39. Which is the closest to -0.3? (a) -0.5 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q. Let z = 4 - 1. Let h = 5 + -2. Let d(s) = z*s**2 + h*s**2 - 7*s**2. What is x(d(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2 = -2*b, -2*f = -f - 2*b - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -222838 (base 9) to base 4\nAnswer: -200203301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)*k*k*k**(-3\/7))**4)**(-36) assuming k is positive.\nAnswer: k**(-2340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2319 - 2308.23. Round c to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*v**5\/3 - 22204*v**4\/9 - 58576*v**3\/9 + 3872*v**2 + 90976*v\/9 - 54464\/9 = 0.\nAnswer: -2, 2\/3, 74\/85, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 3. Let u(v) = -6*v - d*v - 13*v. Let f(g) be the first derivative of -g**2\/2 + 152. What is f(u(a))?\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 4*l + 6 - 9, 4*l + 5*d - 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/345)\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.4 - 31.4. Which is the biggest value? (a) 44 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:06 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.743 - -23.743. What is the fourth smallest value in l, 0, 75, 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 50*d**2 + 10*d + 5. Let h(w) = -10*w**3 + 249*w**2 - 53*w - 25. Calculate 3*h(g) + 16*l(g).\nAnswer: 2*g**3 - 53*g**2 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/5 (c) -6 (d) -5.3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 2 + 138*y**3 - 135*y**3 - y - 3*y in the form k*y**2 + r*y + s + f*y**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42820779.\nAnswer: 3, 23, 83, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 1) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 5*q**3 + 6*q**3 - 7331.\nAnswer: 2*q**3 - 7331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 367*g + 87 = 363*g, -d + 58 = 5*g. Solve -z + 4*o - 17 = 0, -5*z = 5*o - d - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 6*h - 5. Let d(x) = -x**2 + 6*x - 5. Let u(n) = -2*d(n) + 3*j(n). Let t be u(5). Solve -23 = -5*s + p - 7, 4*s - p - 13 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 14.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112024240 (base 5) to base 12.\nAnswer: 2024a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1948484 or -1948486?\nAnswer: -1948484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -34.4. Let x = s + 1.6. Which is the closest to 1\/3? (a) 5\/2 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956141 is divided by 651790.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f**2)*(-3*f**3 + f**3 + 3*f**3) + 19*f**5 + f + f**5 - 3*f**3 - 43*f**5.\nAnswer: -24*f**5 - 3*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 14 + 1. Calculate the common denominator of (-21)\/(-154)*(-103)\/a and (3 - 6) + (-13)\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -290, -13 in increasing order.\nAnswer: -290, -16, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.47 (b) 0 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -15. Which is the closest to 2\/7? (a) -4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + a - 8 = -10*p, -2*p = -5*a - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 308250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 9*u + 9*u)*(15094*u - 15094*u + 100*u**3).\nAnswer: 1800*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 5, n: 4, z: 2}. Give prob of picking 1 p and 2 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and 2\/373 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-21)*(-357)\/153.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2872981059 and 2872981059 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2450312676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - (36 - 30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9*h + 2050000 = 0. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 676 and 1568125312.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.031 - 1.969. Let o(y) = y**3 - 21*y**2 - y + 26. Suppose -a + 6 = -15. Let b be o(a). Sort b, c, -19, -3\/7.\nAnswer: -19, c, -3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 c when four letters picked without replacement from jbcjjjcjjjjjjcjjj.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2, 1\/3, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -3\/20*j**5 + 0 - 22*j + 1\/2*j**3 - j**2 + 1\/30*j**6 + 1\/12*j**4. Determine z so that v(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 274098226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2. Let y be m(-2). Solve -y*z = -2*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3185539 + -263.6?\nAnswer: -3185802.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2544614*z - 22. Determine h(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 12. Differentiate 5 - 5*f**4 - 3 + d*f**4 with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 55*v - 15*v**3 + 2*v**4 + 6*v**3 - 20*v + 1 + 9*v**3 to the form h*v + x*v**4 + q*v**3 + o*v**2 + f and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - u + 7 - 1, u + 12 = 5*y. Suppose 5*k = -4*m + 56 + 28, -3*k + y*m = -72. Solve -9*v + 5*v = k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5 + 54 + 55 + 10*c + 16. Is j(22) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 1.1. Let v = f + -6. Let m be ((-20)\/6)\/1 - (-54)\/18. What is the second biggest value in v, m, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/12793 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11077760, -22155519, -33233276, -44311031, -55388784?\nAnswer: -66466535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*t + 13, t = -5*l + 3*t + 7. Solve 3 = -2*o - 2*k - l, -3*o - 2*k = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 13. Let h(s) be the first derivative of 2\/3*s**3 - p + 1\/2*s**4 + 0*s**2 + 0*s. What is the third derivative of h(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2041542276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = -4*l, 5*l - 20 = -3*i + i. Let o = -25 + 6. Let y = -23 - o. Which is the nearest to 0? (a) i (b) 1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119\/3 + 601\/15. Let o be 4*1\/4*2. Let h = 1 - o. Which is the second smallest value? (a) q (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*y = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/15)\/(4\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-6*-1 + (sqrt(405) - (sqrt(405) + -1*sqrt(405)))*5)**2.\nAnswer: 49005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -566*r - 22 - 7 - 553*r + 1118*r. Give i(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 10. Calculate x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*k = -8, -6*h + 4*h + 3*k + 2 = 0. Suppose -1168 = -h*j - 4*o, 4*j = 2*o - o + 1158. Let z = 407 - j. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641287.\nAnswer: 641287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 13*g**2 + 11. Let i be 1 + 1 - (9 - -2)\/(-1). Let o be j(i). Let x be (-210)\/66 - (-2)\/o. Put x, 0.1, 0.2 in descending order.\nAnswer: 0.2, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5040111*-1.\nAnswer: -5040111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:26 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345306 by -38.\nAnswer: 9087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1207 - 1738. Suppose 8*x = 12 + 12. What is the remainder when c\/(-18)*(x + -1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113598 (base 11) to base 5.\nAnswer: -21233042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2 - 22*u + 83. Let l(o) = 2*o**2. What is l(n(w))?\nAnswer: 8*w**2 + 176*w + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6777 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -4)\/(3\/6). Let r(j) = j**3 - 4*j**2 - 5*j + 11. Let i(d) = -d + 1. Let s(h) = 6*i(h) - r(h). Calculate s(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 1\/8 (c) 0.2 (d) 8 (e) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:19 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48250\/29 + 1664. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 6*m - 231160 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3889*t**3 + 9*t**2 - 58*t - 8. Let b be r(7). Round b to the nearest 10000.\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:24 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose q*m - 4*m + 10 = 0. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1948+-737317734\nAnswer: -737315786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94563924 rounded to the nearest ten thousand?\nAnswer: 94560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 425175345*c**3 + 624*c - 20614 wrt c.\nAnswer: 2551052070*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/90 and -7\/55?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)*j**16*(j*j\/(j\/j**(-2\/11)))**(-24\/11) assuming j is positive.\nAnswer: j**(752\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151271, 153273, 155275, 157277?\nAnswer: 159279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -47, 5, 3, 7, 91 in increasing order.\nAnswer: -47, -5, 3, 5, 7, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*m**2 + 29*m**2 - 5*m**2.\nAnswer: 202*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1038\/(-24))\/(2 + (-9)\/4). Suppose -36 = -3*i + 150. Let w = l + i. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*(-1)\/((-2)\/(-20)) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/120 - r**4\/36 - r**3\/36 - 2*r - 2. Let t(h) be the first derivative of c(h). Factor t(x).\nAnswer: -x*(x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-13)*g)**(1\/62)*(g\/(g*g**16))**(-1\/34) assuming g is positive.\nAnswer: g**(751\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -598 - -7a3?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 412 = k + 1067, k = 5*d - 1091. Solve d = -8*h + 234 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1526)\/327)\/((-4)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424727?\nAnswer: 424727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106080, -106082, -106084, -106086, -106088?\n\"Answer: -2*b - 106078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:38 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15469035 is divided by 280?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*y, 14*y + 41 = -4*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 = -4*c, -2*c + 2*t - 15 = -19. What is the highest common divisor of c and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -2, -1\/41, 0.564?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 4*i**6\/3 + i**4\/4 + 196*i**3\/3 + 180. Find the third derivative of u(k) wrt k.\nAnswer: 480*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88) + sqrt(88))))*6)\/(sqrt(8) + sqrt(1152)*1 + sqrt(1152)))**2.\nAnswer: 421\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20831 + 20831. What is the fifth smallest value in o, -22, -1, -3\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -13*p**8\/84 + p**6\/24 + 386*p**5\/15 + p**4\/12 + 4432*p**2. What is the third derivative of h(l) wrt l?\nAnswer: -3120*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/8082 and -113\/12?\nAnswer: 16164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105436 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose 4*g - g - 9 = j. Suppose -d + 654 = -5*z, 865 + 1836 = 4*d - g*z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 68, 76, 84, 92?\n\"Answer: 8*j + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-95)*(-2)\/3\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1197 and 342?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10877?\nAnswer: 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -b + 5*o + 6, 0 = 3*b - 3*o + 12. Let y(j) = 1 - 4*j**2 + 2*j**2 + j**2 + 0. Calculate y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiiiiii. What is prob of picking 1 x and 3 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 305, -0.3, -1, 0.1.\nAnswer: -1, -0.3, 0.1, 4\/7, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 6, 18, 46, 96, 174, 286?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:29 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519750 is divided by 519311?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(228)*-4 + sqrt(228))\/sqrt(12) - -2*(4 + sqrt(1216))).\nAnswer: 5 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:12 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4401?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7593 is divided by 190.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (28\/18)\/(-7) + (-40)\/(-342)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let v(r) be the second derivative of -19*r**6\/180 + 5*r**3 - 14*r. Let y(i) be the second derivative of v(i). Determine c(y(d)).\nAnswer: -2888*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18319 + -5182. What are the prime factors of c?\nAnswer: 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592196651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 44. Let f be (-1 + d)*(-2 - -2). Suppose -5*k + 2*a = -22, -3*a - 7 = -k - 0*a. Solve -k*n = -12 - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 divided by -142?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -48252 in decreasing order.\nAnswer: 3, -2, -48252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 5) in base 2?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 5761810?\nAnswer: 5761805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-110)\/33*(246\/(-15) + 2). What is the highest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 8. Give w(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7295 - -7265. Let n = 129 - 159.5. Let f = n - d. What is the nearest to 2 in 1, -2, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391.4 + -395.4. What is the third biggest value in x, 0.4, 2\/15, 5, 33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 615796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12891\/7 - 1842. Which is the nearest to y? (a) -0.3 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(612)*3 + (sqrt(612) + -1)*6)**2 - (sqrt(68) - ((sqrt(68)*2 - sqrt(68)) + 5) - (sqrt(68)*-1 + sqrt(68) + 1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 35*f + 183. Calculate c(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6362.628 seconds in nanoseconds?\nAnswer: 6362628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -5.3. Let w = -5.5 + n. Sort -0.2, w, 1, 5 in decreasing order.\nAnswer: 5, 1, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*u + 755 = 4*c, 4*u = 5*c - 753. Suppose 4*v - i - c = 0, 5*v - 104 = 5*i + 86. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 335742.4 - 335752.400029. Let j = 25 - 15. Let x = j + q. Round x to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-29)\/((j*j*(j*j**(1\/3))\/j)\/((j\/j**(-2)*j)\/j))*(j\/(j*(j\/(j*j*j**1*j))\/j)*j**(-2\/3))\/(j**(2\/3)\/(j\/j**(-2))) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -9 - (2 - -12) - -9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.205465153\nAnswer: -3.205465153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15751 is divided by 197?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980 and 30600010.\nAnswer: 61200020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 14. Let o be 96\/9 + 1*i\/6. Find the third derivative of o*a**6 - 234*a**5 + 234*a**5 + 16*a**2 wrt a.\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/((-1)\/(-3)). Suppose t*o = 95 - 17. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2262 = 2*d + 2254. Let s(n) be the first derivative of -12 - 5\/2*n**d + 0*n**3 - 11\/2*n**2 + 0*n. Find the second derivative of s(l) wrt l.\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 55. Calculate the remainder when 26 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 55. Let l = -44 - a. Let y(r) = 6*r. Let m(s) = -12*s. Calculate l*m(j) + 7*y(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/20 + 494*u**2. Let k(m) = -74*m. Give z(k(b)).\nAnswer: 16428*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5869 (b) -3 (c) -3\/2 (d) 22 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1575)*6 + (3*sqrt(630) - sqrt(630))\/sqrt(10))\/(4*sqrt(900) - sqrt(324)*5))**2.\nAnswer: 16128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1748 - -1800. Calculate the highest common divisor of 3068 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/13 - (-5)\/390*38. Solve 1\/3*y**5 - 2\/3*y**3 + 1\/3*y**4 + h*y + 1\/3 - 2\/3*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/35 and 46\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -1. Let l = -28 + t. What is the units digit of (-28)\/(-6) - 4\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78839227*f**2 - 275499547*f?\nAnswer: 157678454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1250 and -0.051.\nAnswer: -63.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 98.6512.\nAnswer: 98.6512","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 3.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 376421.\nAnswer: 150568.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 2*z + 5*z + (1 - 6 + 4)*(-4*z + 3*z + 5*z) as m*z + w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 5*d + 74. Let i(o) = 2*o + 37. Let j be i(-17). Let c(l) = -38*l**3 - l + 2 - l**2 + 76*l**j - d*l**3. Calculate c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let s(z) = -z - 6. Let i be s(q). Let b be 1 - -2 - (i - -6). Solve 0 = b*k - 3*y + 2*y + 6, 2*y - 10 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6930)\/(-25) + 1\/(-5). Suppose -s = -7*a + 10. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10659724681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*n - 3*n - n) + (-3 + 3 + 2*n)*(2 - 2 + 2) + 0 + 0 + n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + (-704370)\/(-189). Suppose 2*y = m + 3717, 4*y + 7452 = -2*m - y. Let z = m + r. Find the common denominator of z and 123\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5904 - 2945. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 152131 (base 6) to base 2\nAnswer: 11100110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 56072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kur when three letters picked without replacement from yyyukubrkrgu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5320*c = -2074*c - 356545 + 23815 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(2746198\/305130 + -9).\nAnswer: 3, 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443691011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5760 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*j - 41441 = 10*j + 24427 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + d = -251, -2*m + 59 = -3*d - 120. Let z = m - 20. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 41. Let d be (5 + -3)*-4 + -4. Let x be o(d). Suppose 106 = 5*a + 2*i - x, 3*i = -6. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299952829 to the power of 1\/2, to the nearest integer?\nAnswer: 47958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*s**2 + 16\/9 - 20\/9*s.\nAnswer: 4*(s - 4)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 39 - 258. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6561 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: What is -241927984.1 rounded to the nearest one thousand?\nAnswer: -241928000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 2*l + 263786. Let w(d) = 7*d - 1. Calculate w(x(j)).\nAnswer: 14*j**2 + 14*j + 1846501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -30772.\nAnswer: -30772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -19. Suppose 2*q - 3 = k. Let g(c) = -1362500*c. Let h be g(q). What is h rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/2 - p**3\/3 - p**2 - p + 5. Let s be u(-1). Solve s*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-203)\/(-21) - 9) + (-112)\/(-21). Solve 114*t - 120*t = -q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10841 is divided by 320.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 855992209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*o + 32*o = 589 + 3919 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 1. Let m(u) = u**3 - 3*u**2 - 2*u - 5. Let w be 6\/10 + (-1449)\/(-35). Let c be (w\/(-9) + 4)*-6. Let h be m(c). Calculate j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.373808672 to 4 dps.\nAnswer: 2.3738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 5808?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019284456 rounded to five decimal places?\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8. Let z(i) = i**2 - 8*i + 9. Let x be z(7). Solve -b = -x*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 91515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 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 x*z - 32205882*x - 37201891*z wrt z?\nAnswer: x - 37201891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*(-1)\/2. Let s(j) = 5*j - 43. Let i(q) = q - 7. Let c(g) = 6*i(g) - s(g). Let m(t) = 4*t + 2. What is v*m(u) - 5*c(u)?\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = 3*w. Is ((-3894)\/18)\/((-2)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*y + y + 4*b, 0 = y + 4*b + 5. Suppose -5*h + 58 = -d, -d = -y*h - 0*h + 34. Solve 0 = -2*c + 4*n + h, 4*n = 4*c - 13 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + k - 6 = 0, 5*k = 3*m + 2*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a**4 - 43*a**3 - 6*a - 540. Let i(j) = -14*j**4 + 44*j**3 + 5*j + 543. Let z(y) = -6*i(y) - 5*s(y). Find the first derivative of z(c) wrt c.\nAnswer: 56*c**3 - 147*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*s - 2. Solve -q + s = 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 279 = 192*l - 1008 - 1849 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(12\/13)\/m))\/m*m\/(m*((m*m**(-1\/18)*m)\/m)\/m))**(7\/2))**13 assuming m is positive.\nAnswer: m**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a - 8. Let p be j(3). Suppose -2*i = -0*g - 3*g - 27, -p = -5*i - 2*g. Calculate the highest common factor of i and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4762*r + 4755*r + 22 = 0, 11 = 5*s - 0*s - 4*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 34. Calculate the smallest common multiple of a and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/((-3)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**44)**(2\/15) assuming u is positive.\nAnswer: u**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = v + 4*s, -v + 3*s = -2*v - 11. Solve -6*z - 2 = -v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14720 and -151\/4140.\nAnswer: 132480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/((8\/10)\/4). Let l be 2400*(-30)\/9*a. What is l rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109510 bigger than 20916227\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101375285*z**3 - 22181015*z**2 wrt z.\nAnswer: -608251710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 1, g: 1, i: 1}. Give prob of sequence jgji.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {q: 7, c: 4, n: 1, o: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1484 divide 54056184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -31, -40, -49, -58, -67?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = h + 4*p, 10*h - 18*h = -p - 69 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*p + 1881573, 3*v - 1128919 = 27*p - 32*p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708500271 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 2}. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/80801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1865404512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239393 + 14*p**2 + 1239393.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 4, l: 3, o: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 8 + p**2 + 10*p - 9*p. Suppose 6*b - 3*b = 21. List the prime factors of j(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4403 + 2121?\nAnswer: 10524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = 821 - 1547. Calculate the remainder when 265 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1507*a + 18296 = 41351 + 19141 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446557 is divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(5\/7)*v*v))\/(v*v**1*v))**(-3)\/(v*(v**(-8)*v)\/v*v**(-3)*v)**(37\/5) assuming v is positive.\nAnswer: v**(3036\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 811 + -552. Suppose 5*l - 5*n = 265, n + 2*n + p = 5*l. What is the greatest common divisor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 4*g + 4. Give n(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 31 + 4. Let d(n) = -2*n - 2. Let x be d(2). Let q be ((-8)\/(-10))\/(x\/(-15)). Solve -3*f + r = -4*m, q*m + 24 = 3*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8110*d + 113. Determine q(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 350 (b) -93 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 838 - -45. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 5669, 19202, 45571, 89054, 153929, 244474?\nAnswer: 364967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1634 and -7\/76?\nAnswer: 3268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 0 (c) -620 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 263. Let h be ((-1804)\/(z - -3))\/(4\/70). What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*z = 263 + 959, -8 = 4*z. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 27. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95975373.\nAnswer: 3, 13, 37, 227, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 62*j**2 - 67*j**2 + 142*j**2.\nAnswer: 13*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-8)\/192*27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**7\/7 - 4*i**4 - 5*i**3\/3 + 7*i**2\/2 + 275. What is the third derivative of c(w) wrt w?\nAnswer: -480*w**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-4*p - 2*p + 5*p) + (-15 - 1 - 2)*(0 + 0 - 2*p) - 21*p + 6 + 19*p - 3 as l + o*p and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/70)\/(6\/(-15)). Let u(k) = k**3 + 15*k**2 + 16*k - 19. Let n be u(-13). Let p = -133 + n. Which is the closest to p? (a) 0.4 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 - 6*k**2 - 1 + 109*k**3 - 2*k**4 + 4*k**2 - 202*k**3 + 2*k + 107*k**3 as z*k**3 + y*k**2 + l*k**4 + j + m*k and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - 5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s**(-1)*s)\/s)*s*s)\/s)\/s)**(42\/5)\/((s*s**1)\/s*s*s)**2)\/((s\/(s\/(s**(-2)\/s)))\/s**4*s**(-5)\/(s\/(s\/(s\/s**(-6)))*s)) assuming s is positive.\nAnswer: s**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 1229*b - 17399. What is o(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d = -65*d + 691900. Round d to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-1 + (-4)\/(-3)). Suppose 161 = 4*k + i. Suppose -j + k = 3*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719310338 to the power of 1\/2, to the nearest integer?\nAnswer: 41465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (84\/378*-27)\/(((-12)\/(-7))\/(-2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.11547589 and 0.4.\nAnswer: -0.846190356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/3)\/((-6)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21624482 to the power of 1\/2, to the nearest integer?\nAnswer: 4650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 16) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**2 - 75586*k - 378149. Calculate i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h - 3. Let k(c) = c + 1. Suppose 0 = -4*i - 0*i + 24. Let g(s) = -10*s - 5. Let l(o) = i*k(o) + g(o). Calculate -8*l(t) - 3*y(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23849024 to the power of 1\/2, to the nearest integer?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/527357 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3792021 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50111454.32141 + 50111698. Let q = z - -0.02141. Let k = -230 + q. What is k rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 50*x - 8 + 6)*(-132 - 13*x**2 + 19*x + 130 - 5*x) to the form c*x**3 + o*x + n*x**2 + h and give c.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -3, 12, 0.3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 9*j = 5*j. Let m = j + f. Solve m*c = 2*i + 2, -i = c - 4*i - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2331.52ng?\nAnswer: 0.00000000233152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40\/8*12\/20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 32, 43, 72, 125, 208, 327, 488?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(81)*-2) + (sqrt(17) - ((sqrt(187)*-1)\/sqrt(11))**2) + (sqrt(85) - -2*sqrt(85) - sqrt(85))\/sqrt(5).\nAnswer: -17 + 17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.7. Let q = o - 0.2. Let d = 0.2 + 0. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4788 = -113*c + 127*c. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 42 = 134. Let v be 3\/(-2) - 4\/o*-74. Let m = 0.4 - 0.6. What is the third smallest value in v, m, -3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 121*a + 33152. What is the thousands digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:01 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4257.9715873 and 41.\nAnswer: -4216.9715873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97312381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33938595?\nAnswer: 3, 5, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1992 and -65\/18.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 119.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = 4*c - 307, -3*q - 9 = -12. What is the smallest common multiple of c and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 + 2*h**2 - h**2 + h**2 - h + 2*h - 2*h + (2 - 1 + 9)*(-9*h**2 - 10 + 10) to s + u*h**2 + q*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -3)*-2 + -2 + 6*((sqrt(75))**2 + 2 + sqrt(108)*1).\nAnswer: 26*sqrt(3) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f + 20 - 21*f**2 + 18*f**3 - 21*f**3 + 13. Let j(d) = -6*d**3 - 43*d**2 - 23*d + 65. Let z(a) = -3*j(a) + 7*u(a). Factor z(x).\nAnswer: -3*(x - 1)*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 25. Let h(l) = 2*l**2 - 2*l + 5. Let z(o) = -5*o**2 + 5*o - 11. Let w(q) = n*h(q) + 6*z(q). Determine j so that w(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.009 + 0.087. Let m = z - -6.904. Which is the nearest to 2? (a) m (b) -1\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m + 26*m - 640 = 32*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 2*q**2 - 2*q**2 + (3 - 2*q - 3)*(-3*q - q + 2*q))*(-q + 1 - 1) - 2*q**3 + 10*q**3 + 7*q**3 in the form k*q**3 + a + m*q**2 + s*q and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1798444 by -324.\nAnswer: -449611\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70097?\nAnswer: 191, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/9 + (-480)\/(-54). Find the second derivative of 10*h + 0*h + 94*h**2 - m*h + 8 wrt h.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4037 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 10000100110?\nAnswer: 10000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5))\/(12\/2280). Let h be (-19)\/f + 31\/8. Suppose 21 = h*c + 5*z - 9, -26 = -3*c - 2*z. Calculate the remainder when 68 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) -2\/13 (d) -3 (e) 1492\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -5.3?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22 + -5)*(1 + 0). Let f(l) = l**3 - 18*l**2 + 21*l - 24. What are the prime factors of f(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555824981 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhhx when four letters picked without replacement from xxhxxhxxxxxxxxxxxh.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2601 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3681)\/(-818)*(-64)\/792\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4 + 6*c - 1 - 3. Let v(p) = -1 + 3 - 4*p + 3. Let k = 47 - 42. Determine k*x(y) + 8*v(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6273625 > -6273624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3369000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -35*c + 5. What are the prime factors of w(-4)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b = 29*b + 75. Suppose -g + 11 + 1 = -3*n, 3*g - 24 = 5*n. Suppose u = -x + 5*x + b, -g*x + 15 = 3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k + k**2 - 11*k - 5*k to the form t*k**2 + u + q*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ac - c9a?\nAnswer: -f46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose -11420*o + 112 = -11406*o. Solve 19 = q - r*p, 7*p = 5*p - o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -772.\nAnswer: 145\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8701 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574)\/2050 + 12\/50?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-15) - 1\/3. Let l be (-4)\/3*(-3)\/v. What are the prime factors of (1\/l)\/(1\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73626 + 0?\nAnswer: -73626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -29791*z**5\/30 - 1922*z**4\/3 - 496*z**3\/3 - 64*z**2\/3 - 127*z. Factor y(t).\nAnswer: -2*(31*t + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/504)\/(3\/21*1\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 8:10 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26 (b) 1 (c) 2\/5 (d) 43 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 + 1 = 4*r, 5*h = 2*r + 17. Do 6 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 38. Suppose -34*s - 15 = -c*s. Let k be 3\/s*1\/(-2). What is the nearest to k in 2, -0.4, -0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -165*l - 3. Let a be y(1). Calculate the remainder when 102 is divided by ((-10)\/(-15))\/((-4)\/a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13 = 3*s, 9*s - 4*s - 19 = 2*c. Let t be 6\/(-18) - 7\/(-3). Let l = s + t. Calculate the highest common divisor of 25 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, d: 15}. Give prob of picking 3 d.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13. Solve v*s - 4*s + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 1490750*f**2 - 5963024*f - 5963032.\nAnswer: 2*(f - 745379)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289609*n**4 + 96*n + 6427?\nAnswer: -3475308*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(242) + sqrt(242)*2)**2)*-2.\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118.45 + -118. Sort l, 2, -4 in increasing order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:02 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*i = 2*v - 9, 0 = -3*v + 3*i + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*j + 10, j + 0 = 2. Let u be 26\/8 + (-2)\/8. Let h = u + t. Put h, -4, 5 in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50176, 50194, 50186, 50152?\n\"Answer: -13*p**2 + 57*p + 50132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49627 - 994 = 1247*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(66 + 10\/1*-1 + 0) is divided by 4\/(-10) - (-97)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -33. Let j = 187\/4 - 47. What is the nearest to b in j, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*x + 55*x + 216 + 620 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.9. Let s = -0.2 + x. Let c = -17 - -21. What is the third smallest value in s, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179352608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-392)\/84 - (3 + -9). Let r(w) be the second derivative of 0*w**2 - 3\/5*w**5 + 0*w**4 + 0 - m*w**3 + 2*w. What is the second derivative of r(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26306.32 * 0.3.\nAnswer: -7891.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 38 = -9*m. Let t = 22 - m. What is the greatest common divisor of t and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 8*i + 3. Let j be t(8). Suppose -h - j*h = -40. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1312931 to the nearest 10000.\nAnswer: -1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((768\/12)\/8)\/((-4)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -5019. Round k to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 2*a - 2. Let w be c(2). What are the prime factors of 10\/(-15) + 82\/w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l - 5\/3*l**3 + 0 + 3\/8*l**4 - 10*l**2. What is the first derivative of h(n) wrt n?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -36, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + sqrt(32) + -3 - sqrt(50)*-4.\nAnswer: -3 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 0.2, 21\/23?\nAnswer: 21\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - c**3 + 2*c + (-2*c - 4*c + 4*c)*(c**2 - c**2 + 2*c**2) + (-6*c**2 + 2*c**2 + 3*c**2)*(-5 - 8*c + 5).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28402540585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = q - 34. Factor 6 + 24*y**2 - 9*y**2 - 11 - 5*y**q - 15.\nAnswer: -5*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m**2 - 9*m - 3. Let o(t) = -2*t**2 - 1. Let r(h) = c(h) - 4*o(h). Find the second derivative of r(b) wrt b.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123.89 + 0.11. Let v = -123.9999846 + y. What is v rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20173431*n**2*x**3 + 3282*n**2*x**2 + 4*n**2*x - n*x**3 - 17*n*x**2 + 10*n*x wrt x.\nAnswer: 121040586*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570400495 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1779, 9899, 31999, 75069, 146099?\nAnswer: 252079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 2. Let q(s) = -5*s - 2. Let c(h) = 4*l(h) - 3*q(h). Suppose 3*y + 20 = t, -2*y + 1 + 3 = -5*t. Let j be c(y). Solve -x + j = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 9*c + 11 + 0 + 0*c. Let v(n) = -6*n - 4. Let h(p) = 11*v(p) + 4*w(p). Let l(a) = 9*a**2. Calculate h(l(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/47581002 and -89\/916488.\nAnswer: 570972024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvxf when four letters picked without replacement from {f: 4, v: 1, x: 5}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 147620.\nAnswer: 73810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.9886 + 133. Let i = 0.1114 - y. Which is the closest to i? (a) -0.5 (b) 0.3 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -75, -142, -229?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*r + 7*r - 12916, 0 = 3*r + 2*b - 12908. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + -3)**2*6 + 5 + sqrt(3) + 0 + (sqrt(21) - (sqrt(21) - (1*sqrt(21) + sqrt(21))))\/sqrt(7).\nAnswer: 39*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**8\/672 + w**7\/60 - 3*w**6\/40 + w**5\/6 - w**4\/6 + w**2 + 7*w. Let x(v) be the first derivative of s(v). Factor x(t).\nAnswer: -t*(t - 2)**3*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -70\/3. Let c(f) = f**2 + 8*f + 15. Let h be c(-6). What is the second biggest value in h, 10, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 0, 19\/5, 907, 80, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2. Let c(o) be the second derivative of o**3\/6 + 85*o**2\/2 + 716*o + 1. Determine h(c(i)).\nAnswer: 4*i**2 + 680*i + 28900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -129*y + 477. Is 72 a factor of m(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/(u\/u**(1\/7))*u)*u)\/u*u*u\/(u*u**(4\/7))*u)\/((u*u**(-6)\/u)\/(u\/u**4)) assuming u is positive.\nAnswer: u**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 100994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**5 - 54978*u**4 - 517297*u**3 + 681978*u**2 + 3653540*u + 1320600 = 0.\nAnswer: -10, -2, -2\/5, 3, 11005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42340 - 1?\nAnswer: 42335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -6*y + 109200. What is y rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1960651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 960.2545 days?\nAnswer: 82965988800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 536855 = 119156. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 7*s**7\/24 + 7*s**6\/40 - 3*s**5\/10 + s**4\/12 + 15*s. Factor o(v).\nAnswer: v**2*(v + 1)*(7*v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 2*w + 19. Let l be k(0). Suppose -36 = -l*u + 16*u. Suppose 43*q**3 - 5 + 165*q**2 + 257*q**3 - 2 - 5 - u*q = 0. What is q?\nAnswer: -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -155*y + 18. Let u = -45 - -57. Let k be w(u). Let n be k\/420 + 4 - 2\/(-7). Is -0.1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*s = -0*s + 31, 9 = -3*s. What is the biggest value in -0.3, t, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 209\/208. Let m = 829\/624 + l. Which is the closest to 0? (a) m (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 4, -0.3, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 449\/17 (c) 1 (d) 3\/5 (e) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/165*18\/108?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -650992 by -464.\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 + 63205715?\nAnswer: 63206040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p + 4957. Let r be t(32). Is 4286 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7154 - 7158. Let k = 0.8 + 4.2. Let d = -11 + 6. Which is the closest to d? (a) k (b) -1\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -70, -125, -190, -265, -350, -445?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553250.3 rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327484 and 8201.\nAnswer: 19321556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w - 9. Suppose 0 = -3*j + 7*j - 32. Let s be o(j). Let u = -21 - s. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4)\/(8\/(-4)). Let j be z*(-6 + -1 + 2). Suppose 0 = j*k + w - 25 + 3, 0 = -k + 2*w + 11. Which is the closest to -1? (a) -4 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -89, 0, -2, 1, -31.\nAnswer: -89, -31, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9104 = -2*o - 2*w, -2689 - 1857 = -o + w. List the prime factors of o.\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/81 and -11\/243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09172 * 0.2\nAnswer: -0.018344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v**3 - 99*v - 100*v - 97*v - 99*v + 39*v**3 + 400*v.\nAnswer: 5*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 + 5*f**2 + 45*f - 45 = 0. Calculate f.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -31*x - 8. Let i(f) = 62*f + 17. What is 3*i(w) + 7*n(w)?\nAnswer: -31*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/22 and -5\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15*l. Let n(a) = 4*a - 5. Give t(n(j)).\nAnswer: -60*j + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*u + 403 + 18566 = -141*u - 3147 for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + n + 5 = 0, -g + 4*n + 5 = -8. Is g + 182 - (-8 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 406*n + 7717. Let y be v(-19). Solve 14 = y*u + 2*s, 0*u + 3*s = 2*u - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 64 + 4 = -4*t, 5*m = -20. Suppose -3*o + 5*o = 2*x + t, -4*o - 5*x = -10. Solve -o*q + v = -3*v + 23, 5*q = 5*v - 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 17*r. Let n be s(5). Solve 3*m = -4*a + 20, -36 = -3*a - 5*m - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4043 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-8)\/3*-3. What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 71649.52 centimeters?\nAnswer: 716495200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -455, -502, -549, -596, -643?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/30 + (-4)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -56 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 20 + 16 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -61. Round g to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -q. Let f = 14 - q. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 + s**2 + 3*s + 2. Let r(h) = 13*h**3 + 5*h**2 + 13*h + 9. What is 4*r(n) - 18*w(n)?\nAnswer: -2*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2700 - 2593. What is the remainder when 10376 is divided by o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose 4*x - 10 = 5*o, -o - r = -2*x - 1. Let p(f) = f**2 + 2*f + 2. Let u be p(o). Calculate the greatest common factor of u and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ega when three letters picked without replacement from aaaeegaaeagee.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 18*i**2 - 13*i + 14. Let s(j) = j**2 - 9*j - 3. Let c be s(11). List the prime factors of m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 310\/10 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -4, 10392, 0.2 in descending order.\nAnswer: 10392, 0.4, 0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*g - 46 - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k = -195 + 296 + 929 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 20 = 69. Let y be 1\/(-3) + (r - 148\/24). What is the closest to y in 0.5, -2, 0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152840.\nAnswer: 2, 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36a6 - -21?\nAnswer: 3707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 12, 71, -53 in decreasing order.\nAnswer: 163, 71, 12, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 22*m - 55. Let u be t(19). Suppose -u*k + 133640 = 38*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44772651 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1133 or 0?\nAnswer: 3\/1133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189435 and 46230.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 g when three letters picked without replacement from vvvzdmvfzvdfvgdgdzg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3)*(-54)\/(34992\/(-270))*6\/14.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -94 - (8 - (13 - 33 - -10 - -21)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-24) + (-8)\/(-8 + 18\/3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875201 (base 9) in base 10?\nAnswer: 522127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -782 take away -0.3?\nAnswer: -781.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76*((-60)\/(-16) - 3). What is the first derivative of 5*g + 52 - 5*g + h*g**2 - g**2 wrt g?\nAnswer: 112*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 1 - 5*o**3 - 3*o**2 + 2*o**3 + 0*o**3 as n*o**2 + k*o + x + v*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/174, 17\/9, -3\/5, -1618?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/((-1596)\/288)*(-6)\/(-198)*-4.\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 115730 divided by 355\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 10*d**3 - 11*d**2 - 70*d.\nAnswer: -d*(d - 7)*(d - 5)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(2) + sqrt(12)\/sqrt(6) - sqrt(2)))\/(-2*sqrt(405)) - ((sqrt(567) + 1)**2*2 - (6*sqrt(28)\/sqrt(4) - 4*(sqrt(7) + 0))).\nAnswer: -1136 - 613*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 8*m**2 - 4*m - 3. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 4*q**2 - 13*q + 20. Let l be p(6). Let a = 15 - l. What is the tens digit of (-4 - 3)*-17 + (-2)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4301296 and -62\/4032465?\nAnswer: 64519440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - 256\/12*-1. Suppose 0 = 4*q - 5*u + 9, -4*q + u - 2*u + h = 0. What is the highest common divisor of 32 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2260 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363 - 220. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m + 2\/3*m**3 + 5 + 0*m**2. Let v(n) = -6*n. Give v(g(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b - 12. Let c be 2 - (b + 1 + -3). Suppose 15*j = c*j - 2700000. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 261010.2l?\nAnswer: 261010200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51\/22 - -149\/88. Suppose 3 - 18 = -3*r. Find the common denominator of (-10)\/11*r\/(-4) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-12) + (-3)\/9. Is z\/((-384)\/129 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*n**3 - 20*n**3 + 367*n**2 - 367*n**2.\nAnswer: -628*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -1 - 7 - (36 + -18703) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, 2550, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 16597*t**2 + 432029*t - 2809287.\nAnswer: -(t - 13)**2*(t + 16623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 279?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101, -724, -2397, -5642, -10981, -18936?\n\"Answer: -87*b**3 - 3*b**2 - 5*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/5 + 133*p**3\/3 + 4793*p**2\/2 + 11*p - 144. What is the derivative of s(m) wrt m?\nAnswer: 12*m**2 + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5046 and 10?\nAnswer: 25230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11496 divided by 5.\nAnswer: 11496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 50005*n. Let m(g) = 7*g**2. Calculate m(h(y)).\nAnswer: 17503500175*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.2, 2, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6937 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 1. Let b(q) be the third derivative of -7*q**6\/15 + 49*q**3\/6 + 18*q**2 + 32*q. Calculate -4*b(h) + 196*d(h).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 157 = -3*s, 4*s + l = 4*l + 192. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 12:21 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 + -243. Let z be 1 + (0 + 1 - 1). What is the remainder when -13*((-2)\/2)\/z is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 76*o**2 - 5*o + 192. Calculate the remainder when 4\/(-6) - 51\/(-9) is divided by d(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*l - 15, 4*f = 5*l - f - 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325060672 and 3488?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 211 + k - 152\/3*k**3 + 57\/2*k**2. What is the second derivative of v(g) wrt g?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9617.883 seconds?\nAnswer: 9617883000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124749, -125087, -125425, -125763, -126101, -126439?\nAnswer: -126777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*w**5\/4 + 118071*w**4\/4 - 258599*w**3\/4 - 2482819*w**2\/4 - 1079247*w\/2 - 124722 = 0.\nAnswer: -164, -3, -13\/27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 5736 - 26966 = 36622. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 9*i - 9. Let h(x) = -x**2 + 2*x + 2. Let z be (-252)\/(-30) - (-3)\/5. Calculate z*h(k) + 2*b(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 383930.335 rounded to the nearest one hundred?\nAnswer: 383900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(-6) - (-795)\/106. Solve 85 - 103 = w*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121739570 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: Let m(g) be the third derivative of 0 - 3*g + 12*g**2 + 0*g**6 + 1\/105*g**7 + 4*g**3 - 3\/10*g**5 - 1\/3*g**4. Factor m(q).\nAnswer: 2*(q - 3)*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let w(h) = -210947*h**2 - 6*h. Determine w(q(c)).\nAnswer: -3375152*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/20160 + s**7\/1680 - s**6\/720 - 2*s**5\/15 - 3*s**2. Let w(n) be the third derivative of u(n). Determine w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38962, -38974, -38994, -39022, -39058?\nAnswer: -39102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -4\/7219 (b) 1\/14 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72.88747 litres?\nAnswer: 72887.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4*o - 7. Let z be s(6). Solve 5*y = -z*n - 30, 2*n - y = 5 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308934 and 11826?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 1192?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -72*f + 12. Let d be y(-9). What is d rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 36863083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 2*o + 4. Let c be p(3). Let l = -2078\/285 - -136\/19. Let u = 7048\/85 + -414\/5. Sort c, u, l in ascending order.\nAnswer: c, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1352852*h**4*i**2*v - 2*h*v**3 - 2*i**2*v**3 + 11*v**3 - 61806 wrt h.\nAnswer: -5411408*h**3*i**2*v - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 87, 133, 189, 255, 331, 417?\n\"Answer: 5*a**2 + 21*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*r + 68*r + 1547 - 301 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1 + 0*s - 13\/72*s**4 + 1\/360*s**6 - 1\/90*s**5 - 2*s**2 - 5\/9*s**3. Find w, given that j(w) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5487*q + 8. Let s(m) = 15050841*m + 21948. Give 5487*a(y) - 2*s(y).\nAnswer: 5487*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-2\/17)*u**(-13)*u*(u\/(u**(-15)*u))**(6\/13) assuming u is positive.\nAnswer: u**(-706\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218 and 6431?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -12*q + 20. Suppose 21*a - 728 = -q*a. Solve 4*s - a = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(15\/27) + -4. Suppose r*i + 4*q - 22 = 14, 2*q = 2*i. Let v(p) = -8*p - 2. What is the remainder when v(-2) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -2 + (3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403658*b**4 - 4838*b + 29?\nAnswer: -4843896*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 666 = -4*k + 2236, 0 = 2*o + 3*k - 621. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250*o**2 + 3*o**4 + 250*o**2 + 7 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2002 = 3*l, -33*b - 3*l = -28*b - 2516. Let k = 334 + b. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*o**3 + 16*o - 2.\nAnswer: 1242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10013311300 (base 4) to base 9\nAnswer: 2026374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 104420?\nAnswer: -104414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 180*y - 25. Let k(g) = -2*g. Calculate i(k(a)).\nAnswer: -360*a - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h + 5 = 0. Sort h, 0, -3.\nAnswer: -3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {q: 5, k: 1, s: 1, j: 4, l: 5, c: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1\/10, -118, -4\/3, -45?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11846468 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o - 4*o + 2*o + 4*o - o + 4*o - o + (-3 - 1 + 2)*(0*o - 6*o + 4*o) + 6*o - 3*o - 2*o + o + 3*o - 2*o)*(11*o + 5 - 5).\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrcrrrararrzzaaarrq. What is prob of picking 1 c and 1 z?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/18 - 686*a**3\/27 - 29240*a**2\/9 + 59168*a\/9 + 461. Let c(b) = 0. What is b?\nAnswer: -172, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 3*g + 3*g - 15*g**2 - 56 + 56 + (2*g - 4*g + 3*g)*(1 - 1 - 2*g) + 0*g**2 + g**2 - 2*g**2)*(863*g - 1233*g + 982*g).\nAnswer: -9792*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7*6)\/(65\/((-5915)\/(-26))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 - 8*r**3 + 261*r**3 + 65*r**3.\nAnswer: 307*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/45*(-5)\/2*(-192)\/1024?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/72 and -121\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-1335)\/(-20))\/(-3) - (11 + -1 + 3).\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -27.99999912. What is q rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by -28\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + -2 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5942*v + 5949*v + 5726*v - 23570*v + 5952*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-13 - 0) + 26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.0090438.\nAnswer: 0.0361752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**4 + 10*j**4 + 0*j**4)*(4 + 5 - 4) + j**4 + 0*j**3 + 0*j**3 to the form x*j**3 + v*j**4 + y + f*j + n*j**2 and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 21. Let h(f) = f**2 + 8*f + 9. Let b be h(k). Suppose -2*u + b*i = -5 - 13, -10 = 5*i. Solve -u*d + 3*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494960811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 65*s**2. Let v(p) = -27*p + 1. Give a(v(t)).\nAnswer: 47385*t**2 - 3510*t + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1512*i. Let f(h) = 48890*h. Give f(o(z)).\nAnswer: 73921680*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:04 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3793842 - -0.4.\nAnswer: 3793842.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3616060423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1*(-2)\/(2\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a21da (base 14) in base 2?\nAnswer: -1011111001110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56022647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*j - 329769 - 220806. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106391 is divided by 403.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-63)*48\/20*28\/(3136\/210)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3483, 3503, 3545, 3621, 3743, 3923, 4173, 4505?\n\"Answer: 2*o**3 - o**2 + 9*o + 3473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/10)\/((240\/460)\/(240\/552))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4533*u**3 - 8*u**2 + 13*u**2 - 7*u**2 + 66310*u**3 + 191769*u**3.\nAnswer: 253546*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14596*0.1\nAnswer: -1459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14280316*o**2 - 162*o + 159705 wrt o.\nAnswer: 28560632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 255, 2, 4 in decreasing order.\nAnswer: 255, 21, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -379 and -377 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnww. Give prob of picking 3 w and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1966316 and 1787560.\nAnswer: 19663160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21925201*u**4 - 82782326*u**2?\nAnswer: -526204824*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*x - 8, 3*a - 6 - 8 = -x. Let y(r) = 2 + r - 3 + x. List the prime factors of y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.05 times -578?\nAnswer: 96554.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 - 3. Let y(n) = -6*n**3 + 2 + 25*n**4 - 26*n**4 + 4*n**3 + 1. Let l(k) = 2*w(k) + 3*y(k). Differentiate l(z) wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**2 + 326*j + 352. Let x(o) = o. Calculate x(h(z)).\nAnswer: -10*z**2 + 326*z + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 4*u**3 - 2*u**3)*(-6*u + 6*u + 12*u**2)*(-1 - 2 + 1).\nAnswer: 24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 223. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 6. Let h be i(-6). Suppose q + 2*q = h. Suppose q = k - 4*k + 6. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 41. Let i(c) = 3*c - 144. Let x(y) = -5*i(y) + 18*n(y). Let v be x(10). Suppose -5*j + 14 = -v*j. Sort 5, -5, j.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24951504, 24951509, 24951522, 24951549, 24951596, 24951669?\nAnswer: 24951774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*g = 202, -6*t + 4*t + 107 = -3*g. Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*b - 4, q - b = -2*b - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 4008290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -2, 5, 13, -5 in decreasing order.\nAnswer: 13, 5, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**26*a*a)\/a**20)\/(a**(-5)\/(a\/(a\/(a\/(a\/a**14))))) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9467?\nAnswer: 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(13) + sqrt(13) + (sqrt(52))**2*-1 - (sqrt(156)\/sqrt(3) - sqrt(52)*1).\nAnswer: -52 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5208006, 10416016, 15624026, 20832036?\n\"Answer: 5208010*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2264, 8747, 19448, 34367, 53504, 76859?\n\"Answer: 2109*b**2 + 156*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 207?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180091 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-649 - -1103) + (2 - 1) + 0.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2034265?\nAnswer: 2034261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6673284620451799 + -6673284538970285.39999962. Let u = g - 81481515. Let k = -1.4 - u. What is k rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1909, -1551, -879, 167, 1647, 3621?\nAnswer: 6149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 253 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411301592 less than -27?\nAnswer: -1411301619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 = -30*x - 57 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-147.6.\nAnswer: -4575.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.168 - 2.59. Let w = -0.004 + i. Let g = -0.64 + w. What is g rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -30*x**2. Let b(q) = -13 - 16 + 37 - 2*q**2 - 8. Calculate i(b(y)).\nAnswer: -120*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 22*x + 30. Let r be v(-21). Suppose 2*l = -m + 13, -r = -m - 0*l - l. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 24 = 12*u. Suppose -r - 1 = -2*i - 0*r, i + 12 = u*r. Suppose i*m = -5*d - 20 + 138, -m - 114 = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + 120\/54. Let s be (24\/(-9)*-3)\/u - 4. Solve -52*q + 53*q + 5 = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -13*y**4\/48 + 11*y**3\/24 + y**2\/4 + 81*y. Let d(t) = 0. Calculate t.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5310 - -5295. Let m(l) = 2*l + 53. Give m(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10471 + 27?\nAnswer: 10520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*s - 44, 3*n - 2*s + 31*s = 33*s + 102 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l + 12 = 0. Let g(z) = 6*z - 8 + l - 2*z. Let a(o) = 0 - 4*o - o + 6 + 1. Calculate -5*a(c) - 6*g(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6 + (-5 + 3 + 4)*(1 + 7 - 2))*(-2 - 2*i**2 + 2*i**2 + i**3).\nAnswer: 14*i**3 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0747 and 4496 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14549633\/13500 + -4311\/4. Let p = s + 280121\/6750. Calculate the common denominator of p and -1*250\/(-12) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 55 - 38. Let z = m + 80. List the prime factors of (-1818)\/z + (-8)\/(-52).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/34)\/((-52)\/442).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4080149 (base 10) to base 4.\nAnswer: 33210020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 37*p**7\/70 + p**4\/3 - 23*p**3\/6 + 550*p**2. Find the second derivative of f(u) wrt u.\nAnswer: 1332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 8*c**2 - 7*c + 2. Let m = 1 - -23. Let b = m - 17. Give l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 2, i: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(64)\/sqrt(2) - sqrt(2)) + sqrt(2) + (-1*sqrt(2)*-1 - sqrt(2))**2)*-3.\nAnswer: -12*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000208349 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/5 (b) -0.1 (c) -0.4 (d) -4 (e) 5 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjx. What is prob of sequence xjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*l - 6 + 25, 4*l - 22 = -2*y. Let f(c) = 9*c - 5. List the prime factors of f(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 457654609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5*r**2 + 482*k**5*r + 9*k**2*r**2 + 40*k*r + 2*r**2 wrt k.\nAnswer: -60*k**2*r**2 + 28920*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55396, 55423, 55506, 55645, 55840?\n\"Answer: 28*u**2 - 57*u + 55425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29096 by 14548.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 794323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.334448 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-13 - (13 + -2)) - -69.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**2 + 0*k**3 + 0*k**3 + 8 + 2*k**2 + 2*k**3 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/6*(51\/3570)\/(16\/(-84))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = 3*z, z - 5*z + 14 = x. Suppose 3*o + 1 = -x*b, -2*o + 7 + 14 = -3*b. Sort -4, -1, o in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20153564623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 22. Determine p(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45630 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123 a factor of 49999268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 164\/(-2)) + -1. Let v = 262 - 237. Suppose -v*r + 30*r - 615 = 0. Calculate the greatest common factor of r and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 198, 1444759?\nAnswer: 1444759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/3)*u*u**(2\/27)\/u*u\/(u\/u**(-2)*u)*u**(-7) assuming u is positive.\nAnswer: u**(-304\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 26 + 5)*-224150. Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -13*h**6\/15 - h**5\/20 + h**4\/6 - 14*h**2 - 39*h + 2. What is the third derivative of v(t) wrt t?\nAnswer: -624*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/42 + (1\/3 - -1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2122, -8197, -18324, -32503, -50734?\nAnswer: -73017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 113*s + 2 + 9 as g + z*s and give z.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l**3 + 3*l**2 + 9*l + 6. Let q(x) = -22*x**3 - 5*x**2 - 17*x - 10. Give 3*q(z) + 5*w(z).\nAnswer: -11*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 37*v - 50. Let p be (v\/(-15) + 1)*(-21)\/14. Which is bigger: -4\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-393)\/(-8) - 3\/24. Suppose 6*y - 1 = -c. Let q(j) = -j - 1. Let n(t) = -t**3 - 7*t**2 + 4*t - 8. Let p(x) = n(x) - 6*q(x). Determine p(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 5*k**8\/336 - 7*k**4\/24 + k**2. Find the second derivative of a(c) wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(190\/627) - (-25)\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-263)\/3*2*-21. Let m = h + 453. Suppose m = 5*o - 4650. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 16*g**2 - 3\/2*g**3 - 1\/4*g**4 - 1\/15*g**5 + 1\/120*g**6 + 0 + 0*g. Calculate the remainder when u(6) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let g be r(-1). Let b(l) = -2*l**2 + 20*l + 1. Let x be b(10). Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 34. Let p(o) be the first derivative of -3*o**2 + 3\/2*o**4 + 2\/3*o**u + 1 - 4*o + 2\/5*o**5. Determine t, given that p(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -965 by -5.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178\/11403 + 250\/181. Let r = x - 5\/42. Let b = -3810 + 45683\/12. Calculate the common denominator of r and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6 + 2*z + 9 + z. Let h(x) = -x**3 - 3*x**2 - 2*x - 3. Let w be h(-3). Calculate the lowest common multiple of 20 and m(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -27*x + 712. Let s(l) = -9*l. Calculate s(c(u)).\nAnswer: 243*u - 6408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(6*sqrt(9)*2)\/(sqrt(12)\/sqrt(4)*-6).\nAnswer: -12*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.0703 (b) 0.53 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1))**(2\/7))**(-48))**1 assuming k is positive.\nAnswer: k**(-192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10105403*t + 2118904.\nAnswer: 10105403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271700 + -1925266265\/7086. What is the common denominator of f and 61\/2?\nAnswer: 7086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5233, 850, 1, -1.\nAnswer: -5233, -1, 1, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 3 in descending order.\nAnswer: 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*s**3*z**2 + 2*s**3*z + 515*s**3 + s**2*z - 5*s*z**2 - 2*s + 3841*z**2 + 104*z wrt z?\nAnswer: 40*s**3 - 10*s + 7682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**7\/126 + l**6\/8 - 5*l**5\/12 + 35*l**4\/72 - l**2 - 5. What is y in x(y) = 0?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 248, 2\/263, 6.18, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13476 or 26949\/2?\nAnswer: 26949\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -10 - (2 - -2). Let -10*t**2 - 6 - 13*t**3 - 12*t + 3 - x*t**4 + t**3 - 8*t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 4*g + r, 7*r = 3*g + 4*r + 111. Let u be ((-4)\/7)\/(6\/g). Suppose -u*l = -2*c + 114, 0*l = -3*c + 3*l + 174. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 1 + 1)*(-4*q + 5*q + 8*q) as r*q + j*q**2 + m and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.2, -1, 13\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66029 take away -0.03?\nAnswer: -66028.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 23 = 4*m, 4*m = -0*m + 3*v + 17. Suppose 3*y + 37997 = 5*n, 3*n - 5266 = m*y + 17529. Round n to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850.348 milligrams in kilograms?\nAnswer: 0.005850348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 h, and 1 z when four letters picked without replacement from {n: 5, h: 2, z: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4890 = -9*l. Calculate the remainder when (-5)\/((-20)\/16) - l is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 2 + 0*m**2 - 1233490*m + 2*m**3 + 1234232*m to the form r*m**2 + s*m + h*m**3 + w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 - 302504*s + 1814880 = 0. What is s?\nAnswer: 6, 75620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = -4*w - 4, -w - 28 = -3*j. Suppose -z + 5 + 28 = 0. Calculate the greatest common factor of z and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q**2)*(-28*q + 7*q - q).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -641, -1, 4, -2.\nAnswer: -641, -8, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11610a1 + 102?\nAnswer: -1160c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -7) + 45 - (-33 + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/23 + 738*o**3\/23 - 740*o**2\/23 = 0.\nAnswer: -370, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 6) to base 15\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863108 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -46, -59, -72, -85?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + -2068.\nAnswer: -2068.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-12)\/(-105)) + 3. What is the nearest to 2\/5 in d, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752399 is divided by 627?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/4)\/((7\/18)\/(5740\/11070)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 h when three letters picked without replacement from pkhk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(1764\/686))\/((1\/(-6))\/1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29930, 29926, 29920, 29912, 29902, 29890, 29876?\nAnswer: 29860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517000539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3139158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by (-1)\/7 - ((-20304)\/126)\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -109652731, -109652733, -109652735, -109652737, -109652739, -109652741?\n\"Answer: -2*l - 109652729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 90*g**2 - 4*g - 95. What is the tens digit of d(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/79 and (42\/(-12) - -4)*11\/(-4).\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32045424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-13))\/((-2763)\/(-23946))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*-1)\/sqrt(3))\/sqrt(7).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 101873*p**3 + 3 - 2.\nAnswer: 101873*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -344\/11 at most as big as 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1704816, 4, -3 in descending order.\nAnswer: 1704816, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8*x\/(x*x\/x**34) assuming x is positive.\nAnswer: x**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31517267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 2, d: 8}. What is prob of picking 1 f and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -2*n + 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -44. Suppose -3*k - 22 = 5*v, -7*v + 2 = -12*v + 2*k. Calculate the common denominator of 9\/v*s\/(-20) and 137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71988*r**4 - 554735*r**2.\nAnswer: 1727712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11364 - -11369. Calculate the greatest common factor of v and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255)\/150280*26)\/(6\/(-4))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -0.3, 0.3, 2, -3 in ascending order.\nAnswer: -3, -0.3, -0.02, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*l + 167 - 175, 8 = 3*l - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 5. Calculate the remainder when 25 is divided by (-82)\/(-6) + c\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 6 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-1)*(33 + -4). Suppose j - 3*k = 5*j - 267, -5*j = -k - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 7*h**2 - 8*h + 23. What is the units digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/30 - 5*z**3\/6 + 6*z**2 + 8. Let q(k) = -11*k**2. Determine q(n(a)).\nAnswer: -44*a**4 + 220*a**2 - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 52*i + 299. Let c be ((-6)\/(-5))\/((-42)\/(-70)) - 2. What are the prime factors of s(c)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 take away -4.9?\nAnswer: 4.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2361 in 1\/11, 0.3, 56?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 50. Let m be b(5). Suppose 3*q - 9 = -0. Solve -m*s = 37 - 12, -2*s - 1 = -q*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-6) + (-716)\/1074)*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136055a9 - -2?\nAnswer: -136055a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - -2*6\/(-4). Solve -2*y + i*n = 4 + 2, -3*y + 15 = 5*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let d(c) be the second derivative of 14*c**3\/3 + c**2\/2 + 10*c. Calculate x(d(v)).\nAnswer: -784*v**2 - 56*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - w. Let n be m(2). Suppose o = -z + 33, o - 3*z - 27 = n*z. Suppose -4*u = -0*u - o. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 2*w - 24, 3*w = 0. Suppose 4*r + c = 0, 5*k + r - 735 = 4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1032*x**2 + 530*x**2 + 383*x**2. Let c(p) = -55*p**2 - 61*p**2 + 117*p**2. Calculate c(g(t)).\nAnswer: 14161*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.05804955 rounded to 3 dps?\nAnswer: -21.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 14) in base 13?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 - -6. Let x = z + 1.1. Which is the third smallest value? (a) x (b) 1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r - 130. Let n be h(14). What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -39645*x + 4321310. Determine a(109).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*c + 26 = 0, 0*c - 13 = 4*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 + 10*v + 12. Calculate h(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:26 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - -19) + -60 + (-28 - -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -6. Let t = d + -6. Solve 0 = t*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 5545 + 5545 - q**2 - 3*q + 118*q**3 in the form r + v*q + d*q**3 + w*q**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/10)*v*v**(1\/37)\/v*v assuming v is positive.\nAnswer: v**(491\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 560*p\/3 + 4268.\nAnswer: -(p - 582)*(p + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3\/6 - 4309*p**2\/3 - 398015*p\/6 - 763876 = 0.\nAnswer: -23, 8664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12315952 a multiple of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83313542509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -19. Let x = n + -9. Which is the nearest to -1? (a) 0 (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2 - (-1470)\/(-686))*(0 + -10)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*p - 12, 4*p - 9 = -p - 3*x. Solve p - 2\/9*w + 2\/9*w**2 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3109 - 4*y + 3110 + 3118 - 9337.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 d when three letters picked without replacement from dydydyymydjydy?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 0, -1\/22, 3235, -30 in ascending order.\nAnswer: -30, -1\/22, 0, 0.1, 0.4, 3235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*h**3 + 0*h + 10*h**2 + 0.\nAnswer: -2*h**2*(h - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 9) to base 8.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86180 and 16275?\nAnswer: 9048900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*h**2 + 1311 - 1578*h**2 - 1311.\nAnswer: -1882*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6327 divided by -1301\nAnswer: 6327\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002344286154 rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/5, 0.4, -1\/4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 18)*1 + 0. Suppose 2*h - 3*s - o = 0, -5*h + 0*h - s = -16. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 30*x + 3. Let u be y(2). Suppose -5*j + u = -2*j. What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 120510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 4*a + 10. Let w be m(6). Let n(r) be the first derivative of 4*r**2 + 2*r + 196. Give n(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 574752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11151 - -24279. List the prime factors of g.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (288\/(-40))\/((-4)\/490) + (-143 - -135). Calculate the highest common divisor of w and 1368.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -0.6 (c) 0.1 (d) 456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 53 - 31 - 8950*h**2.\nAnswer: -8950*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/3))**(-8\/3))**(3\/10)*(v\/((v*(v*v*v**(-3))\/v)\/v)*v**(-3))\/(v**3*v*v**(2\/5)) assuming v is positive.\nAnswer: v**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 50652?\nAnswer: 50675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i - i**3 + 3\/2 - 2*i**2 + 1\/2*i**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Put 31, -5, 992 in descending order.\nAnswer: 992, 31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (12 + (11 - 22)) - 23 - -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 e when three letters picked without replacement from xttaxaebatx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/5 + 5*d**4\/3 + 4*d**3 - 4*d - 2. Factor k(w).\nAnswer: 4*w*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0 - 1\/20*h**5 + 0*h**4 + 0*h**6 + 0*h + 9*h**2 - 1\/168*h**8 + 0*h**3 + 0*h**7. Find the third derivative of p(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510419.\nAnswer: 7, 13, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 1, r: 3, m: 4, a: 2, o: 6}. Give prob of sequence jj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-51)\/9. Let m(l) = l + 8. Let w be m(t). Suppose 4 - w = a. Solve -a*u = 5 - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keduo. Give prob of picking 1 o and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + -0.05. Let u = z - -0.16. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - ((-3846 - (4 + -6)) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6794.245 decades in centuries?\nAnswer: 679.4245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-167449)\/(-5525))\/(1256\/(-230)). Let i = d - -2\/34697. Let h = 5628\/17 - 125567\/374. Calculate the common denominator of i and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729539 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t - 4. Let j be (-5 - (t - 2))\/(1 + 1). Put 0, j, -3 in descending order.\nAnswer: 0, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74568 divided by 4.\nAnswer: -18642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 0.0839.\nAnswer: 1.5102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 12, s: 5}. Give prob of sequence hx.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2477767 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2 + i**2 + 4*i - 4 - 2*i. Let h(x) = 5*x**2 + 9*x - 9. Suppose 3*m + 2 = -4. Let y(a) = m*h(a) + 9*s(a). Let k(b) = -b. Determine y(k(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (26\/(-8) - 2\/(-8)). Let l = 2743 - 2738. Solve u = 3*r - r - p, 2*u + 8 = l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129987557760791\/3999497568738 + 2\/1943390461. Let y = 1\/1029 - a. Calculate the common denominator of y and 43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 28 - 28)*(295 - 108 - 127).\nAnswer: 420*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-184)\/(-3)))\/((-60)\/16)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82\/141 + -4\/47. Let g = -1024 + 1027. Let t = -5 - -5.4. What is the nearest to r in g, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 31*o**2 + 16*o + 69. Is l(-15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + 10*n - 12. Let v(i) = -i**3 - i**2 + 2*i. Let l(a) = -a**2 - 28*a + 159. Let c be l(-33). Let p(h) = c*v(h) + r(h). What is p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30529 divided by 4556\nAnswer: -30529\/4556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110159*m - 38038 = 109665*m for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 0*i)*(3*i - 3*i + 2*i) + 3*i**2 - i**2 - i**2 + 1 + 40645*i**2 - 20191*i**2 - 20312*i**2 + 111*i.\nAnswer: 141*i**2 + 111*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12978 divided by 618.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 + 3. Let k(b) = -11*b**2 - 6. What is -4*k(d) - 9*t(d)?\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -300331?\nAnswer: -300333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*p + 455, 2*f - 389 = 2*p + 51. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 r when four letters picked without replacement from {d: 1, v: 4, t: 6, y: 2, r: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 14*m - 52. Calculate the greatest common divisor of m and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44609 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-12)*1\/((-156)\/8*-1).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, 1, -0.5, 3\/5, -4 in descending order.\nAnswer: 22, 3, 1, 3\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - r - 3 + 4 = 0, -2*r = 3*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -3. Let o(g) = -3*g**3 + 44*g**2 - 68*g + 35. Let v be o(13). Which is the smallest value? (a) u (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3)*(-1 - -2). Is -3\/2 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (1 + sqrt(832))*6) + ((-2*sqrt(65))\/sqrt(5) - 5*sqrt(52)))**2.\nAnswer: 624*sqrt(13) + 35188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -b93?\nAnswer: -b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3, 39 in descending order.\nAnswer: 39, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 1273*h**2 - 6316*h + 1629357. Determine g(-1267).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(7)*-3*3.\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30872 divided by 7718?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 + 2*d - 3. Let m be r(-5). Calculate the highest common factor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.23. Let r = -7 - -6. Let u = r - -3. What is the nearest to 1 in u, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -31. Solve d = -8*d - c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120498 is divided by 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2623*u - 2598*u - 50 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*236294.\nAnswer: 9924348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.04 (c) 4\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d02d (base 14) in base 3?\nAnswer: 12201101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/600 + z**5\/75 + z**4\/24 + z**3\/15 + 7*z**2. Factor b(h).\nAnswer: (h + 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24126 + 23883.74. Let y = q - -240. Let m = -2.9 - y. What is m rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r + 4 - 4 - 50*r - 112*r to w*r + p and give w.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 125 = 20*a. Suppose -12 = 3*k, 0 = a*o - 5*k - 989 - 6. Calculate the least common multiple of 4 and o.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*i - 4 - 2 - 315*i)*(3*i + i - 3*i).\nAnswer: 17*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + f)*(2*f**3 + 33*f**3 + 17*f**3).\nAnswer: 208*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) + 0).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 13188 = -13107 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**3 + 382*o - 588. Let l(c) = c**3 - 109*c + 168. Calculate -18*l(g) - 5*v(g).\nAnswer: 2*g**3 + 52*g - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 - -0.08. Let h = 6.068 + -6.1. Let t = h + 0.632. Which is the third biggest value? (a) p (b) -4 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 33*l - 8. Let s be o(16). Is s at most as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 17*r**2 - 23*r**2 + 60*r**2.\nAnswer: 54*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17367601 + -1438.\nAnswer: 17366163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40689 + 164.0312834.\nAnswer: -40524.9687166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3 - 2521205083.\nAnswer: -2521205078.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**5 + 16*d**4 - 4*d**3 - 21*d**2. Let k(j) = j**5 - 15*j**4 + 5*j**3 + 21*j**2. Let c(a) = -6*i(a) - 7*k(a). Solve c(s) = 0.\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/7 (b) -2\/13 (c) 0.3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3345*k. Let v(u) = -20*u. Give v(f(s)).\nAnswer: -66900*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/35 + (-424)\/(-14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3844051 or 3844036?\nAnswer: 3844051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) -5\/2 (c) 0 (d) 2\/5 (e) 31 (f) 4 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10))\/((-6)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1375*j - 16293. What is a(-12)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 47209001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259858007 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -2, 5, -1, 24 in ascending order.\nAnswer: -2, -1, 5, 24, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11700503.4 to the nearest one thousand.\nAnswer: -11701000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed (base 15) in base 4?\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (10 + -8 + (0 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -39. Let n(h) = h**3 - 14*h**2 - 10*h + 10. List the prime factors of n(u).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 351769714 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1728).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g - 1. Suppose -5*o + 4*r = -47, -51 - 3 = -4*o - 5*r. Let i(k) = -k**2 + 15*k - 2. Let p(w) = o*c(w) - 6*i(w). Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42015434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 9925?\nAnswer: -99250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*p + 863 - 1177 = 0. Is p < -49\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3\/5 (c) -1\/4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3140224233 (base 5) to base 4\nAnswer: 121010021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -2.21. Round m to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. What is the second derivative of 7*h**2 + 2*h + d*h**2 - h - 3*h**2 wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/2 (b) -4 (c) 2 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*f**5 + 0 + 0*f**2 + 0*f + 2\/3*f**3 + 2\/3*f**4.\nAnswer: f**3*(f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2976 and 8992?\nAnswer: 836256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, 163, 472, 905, 1462, 2143?\n\"Answer: 62*m**2 - m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 413116 by 103279.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(1 - 1 + 3*k**2 + k - 2*k**2 - k + (-k + 2*k**2 + k)*(1 + 1 + 0) + 3*k - 4*k**2 - 3*k + k**2 + 3 - 3 + (1 + 1 + 0)*(2*k - 2*k + 2*k**2)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from {t: 4, v: 1, u: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3810633, 7621300, 11431967, 15242634, 19053301, 22863968?\n\"Answer: 3810667*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 13541 and 12035 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -719658817.9 to the nearest 1000000.\nAnswer: -720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-49 - (-13006)\/266)) + 1\/((-38)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/34 - 98\/(-34). Solve -3 = -p*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.764?\nAnswer: -0.6876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -208. Suppose -w = -6*a - 84. Solve -l = a*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122.05 + 122. Which is bigger: z or -24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 1, z: 2, m: 11, a: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867391 divided by -4403.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 1270 - 1058. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-20)\/(-4)) + 4. Is 14 a factor of (-14 - i)*(-42)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = c - 108. Solve 5*i + 0*o = 3*o + 13, -3*i = o - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 32*z - 195. Give l(27).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -117?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2448 and 71\/1496?\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/1192 - 174905\/8344. Let k = z - -85\/4. Let d = -10 + 8. What is the biggest value in k, d, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, y: 1, c: 1}. Give prob of picking 1 g, 1 c, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + a + 1. Let s be f(-1). Let d(k) = -3*k**2 - 1. Determine d(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v*v**(-19))\/v)\/v))\/((v\/(v*v*v**(-5\/4)))\/v) assuming v is positive.\nAnswer: v**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -773010*m**6 - m**2 + 88*m - 1794 wrt m.\nAnswer: -92761200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. What is z(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1139650*z**3 - 2*z**2 + 7036313*z?\nAnswer: 6837900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31\/(-124)*(-441 + 1). What is the greatest common factor of m and 1375?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 88462\/29 + -3050. Let p = q - 122\/435. Let z = 73 - 72.9. Which is the biggest value? (a) z (b) p (c) -2\/17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.42868356 - -1.4293. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*r - 44, -t + 15 + 14 = 2*r. Solve -2*n - 2*n = r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 5*f - 5, -5*f = 2*j - 5. Solve -2*b + j = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654196?\nAnswer: 2, 37, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c - 22. Let b(n) = 7*n - 21. Give 4*b(z) - 5*t(z).\nAnswer: -2*z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 + 81 + 16*z)*(4*z - 7*z - z) - 5*z**2 - 6 + 6 + (3 - 5 + 4)*(3*z**2 + 2*z**2 - 3*z**2) as p*z**2 + s*z + m and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 42) + (-25 - (-41 - (-16 - 7)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-4) - 60\/6. Let a(j) = -36*j + 28. List the prime factors of a(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-21))\/(9\/(-84)*2). Let g(v) = v**3 - 9*v**2 + v - 10. Let f be g(9). Let h = -2 - f. What is the second biggest value in h, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656525 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.94 * 0.2.\nAnswer: 0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158031.9999934313 - -158032. What is u rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 - 5, 5 = -5*x - 5*t. Let i = 5 + x. Find the second derivative of 2*j**2 - 2*j**i + 2*j + 2*j**2 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 497, 995, 1485, 1961, 2417?\n\"Answer: -f**3 + 2*f**2 + 499*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - u - 3*u = -39, 0 = 4*u + 16. Suppose o*v - 244 = 1527. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317815 is divided by 437541?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:40 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -409427?\nAnswer: 409427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41569*b**2 - 15336*b.\nAnswer: -83138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -727793.61\nAnswer: 72779.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (24 + -16 - 13 - (-10 - -18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 20*l - 23. Let y be v(9). Let j(d) = -d**3 - 4*d**2 + 5*d + 1. Determine j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f - 13841 + 13841.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 252?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -2\/3, -2.7, 6\/937?\nAnswer: 6\/937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z - 1. Let r(t) = -2*t + 53 + 0*t - 54 + t. Let m = -8 + 7. Determine m*a(o) + r(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**41\/t)*t**(-3\/8)*(t**(-18))**18)**(-34) assuming t is positive.\nAnswer: t**(49419\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*u - 0*u. Factor 3*k**3 - 4*k - k**3 + u*k + k**3 + 9*k**2.\nAnswer: 3*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13262?\nAnswer: 2, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -22124, -4\/3 in descending order.\nAnswer: -0.4, -4\/3, -22124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:43 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252997 + 420468. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332\/51*27\/12 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-116)\/87)\/(((-4)\/(-9))\/(-2)). Suppose 0 = d*f - 4376 - 58. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*1)\/((-2)\/(-5)). Suppose 0*d + 2*d - 3 = l, -2*l = 4*d - 18. Suppose 0 = l*s + 12. What is the closest to -0.1 in s, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/5 + 333523306*v\/5 + 27809448911292409\/5 = 0.\nAnswer: -166761653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26253065, -52506131, -78759197, -105012263, -131265329?\n\"Answer: -26253066*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 - 130248*h**3 - 1413451224*h**2 + 5657452320*h + 16967667600 = 0.\nAnswer: -21710, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 14*t**2 - 17*t - 33. Let y be n(-15). What is the hundreds digit of (y - -247) + 2\/(-2) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-80))\/(3\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1 - 5 = 0, -6*c = g - 25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85767.\nAnswer: 3, 11, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.114 - -0.086. Which is the second biggest value? (a) -4 (b) 0.01 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 23*l - 87. Let t be y(-18). Let c(r) be the first derivative of 9*r + 3\/4*r**4 - 3*r**t + 13 - 3\/2*r**2. Find s such that c(s) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2*(-72)\/224*(-2)\/9\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2536 and 83\/35344?\nAnswer: 11204048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137185 is divided by 350.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssksmssssss. What is prob of sequence ss?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3476862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40147505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = -14. Sort -23, -2, 1, l in decreasing order.\nAnswer: l, 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-3*t + 3*t + t**2) + (20890*t - 42926*t + 19324*t)*(t - t + 2*t) to r*t + p + v*t**2 and give v.\nAnswer: -5426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 14 - 26. Let h be (-12)\/((i\/3)\/(-4)). Is 17 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 - -6) - (3 - 5) - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 13*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25682967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.908088 days to weeks.\nAnswer: 2.272584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5307 divided by 1769\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/5 (b) 10617 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -11*b - 4. Suppose 0 = b*o + 3*c - 116, -5*c + 7 + 101 = 4*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 11:59 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from kxkxxxxkxxxkkwxxxk.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)\/(l*l**7*l))**(13\/5)\/(((l\/(l\/(l\/(l**(1\/5)\/l)))*l)\/l*l)**(-2\/39))**(1\/6) assuming l is positive.\nAnswer: l**(-22787\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let w(s) = s + 64. What is w(f(d))?\nAnswer: -d + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.447845 millilitres in litres?\nAnswer: 0.009447845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*w - 739*w + 188*w + 181*w - 132 + 181*w to the form g*w + l and give l.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1548 - 1519. Solve -7*c - 1 + a = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-3 - (0 + 6 + -17)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 983542321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)*f*f\/(f*f**0))\/(f**(-6)*f**(-2\/5)))**(2\/31) assuming f is positive.\nAnswer: f**(212\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -10666?\nAnswer: 10666.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 27*g**3 - 138*g**2 + 278*g - 1331. Calculate n(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 7*s - 23*s - 14.\nAnswer: -41*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5870123 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -6*l + 130. What are the prime factors of (-16)\/l*(-609)\/14?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.5, 2\/15, -630\/367, -12, 0.1?\nAnswer: -630\/367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 15) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 26778336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 2*k**5 + k**5 + (-2*k + 2*k + k)*(-k + 2*k**4 + k) + (k**2 - 2 + 2)*(0*k + k + 0*k)*(935*k**2 - 481*k**2 - 550*k**2).\nAnswer: -95*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 358\/(-4). Suppose 3*w + 2*w + n = l, 5*w - 2*n = 75. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13894, 27789, 41684?\n\"Answer: 13895*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(3\/2)))\/h)**(1\/13)\/(h**(-26\/9)\/h*h\/(h**8\/h)))**(-5\/9) assuming h is positive.\nAnswer: h**(-11615\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 302*o**2. Let s(a) = -4*a. Calculate u(s(t)).\nAnswer: 4832*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3306227644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 23. Let f be g(-25). Suppose f*w - t = 196, -2*w - 5*t - 1 + 173 = 0. Suppose w*c = 100*c - 1148. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-21))\/((-184)\/56 - -3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.54.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1041\/7 + -149. Let p = 5 - 2. Which is the nearest to 0.2? (a) p (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171161490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 8. Let f(p) = 4*p + 24. Let w(g) = f(g) + 3*v(g). Let z(k) = 9*k**2 - 10*k**2 + 4*k**2. Give w(z(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 2*h**2 - 2*h. Let g(q) = 3*q**3 + 5*q**2 - 5*q - 1. Let a = 12 - 7. Let u(v) = a*o(v) - 2*g(v). Differentiate u(j) with respect to j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262104 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11588 - 8115. Calculate the greatest common factor of m and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321005445 + 0?\nAnswer: 321005445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.54823 and 86.\nAnswer: 305.14778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 3.8. Suppose 145 = -198*p + 169*p. Which is the closest to -0.01? (a) 1 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45201 divided by -13?\nAnswer: -3477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299 is divided by 407?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -913\nAnswer: -4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (66\/44)\/(18\/(-1*3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 28*k + 30. Let w be r(-15). Suppose 12*m + 2 - 62 = w. Suppose -b + 153 = 3*d, -b = -m*b + 12. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 15. Let i be b(0). Let m be 1\/5 + 78\/i. Is m smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8344.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 - b**5\/30 + 5*b**4\/24 + 4*b**3\/3 + 14*b**2. Calculate the smallest common multiple of u(-4) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.05 - -15.7. What is n rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2 (c) -4\/3 (d) -1\/3 (e) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Suppose -n + 1 + x = 0. List the prime factors of n\/(-1 + 3)*27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 10 + 80 = 0. Solve x + 4*x = -q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35302 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/40 or -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175330 divided by -2?\nAnswer: 587665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195911?\nAnswer: 3, 44293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 5, o: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14694 divided by 7347\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 40*m**2 + 56*m - 171. Calculate a(39).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15992 = 19*g + 15859 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11713 or -11745?\nAnswer: -11745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 - 6 = t, -4*t + 36 = -5*h. Let v = h - -7. Solve -4 = 3*m - 4*j, 0 = 2*m - 0*j - 3*j + v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.478288 + -21579261.478288. Let g = i - -21579213.4200107. Let j = g + 1.58. Round j to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 146*h**4 + 1680*h**3 - 7424*h**2 + 13568*h - 7680.\nAnswer: 2*(h - 60)*(h - 4)**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/132 and 2\/27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*r + i, 3*i + 18 + 25 = 2*r. Let m = -18 + r. Which is greater: 2\/49 or m?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136) + (-2*sqrt(136) - sqrt(136))))\/(2*sqrt(128)) - (sqrt(68) - (2*sqrt(68)*-6 - sqrt(68)))\/(sqrt(44)\/(sqrt(11)*2) - sqrt(4)))**2.\nAnswer: 224825\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -483, -714, -945, -1176, -1407?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1542, -1543, -1544, -1545, -1546, -1547?\n\"Answer: -u - 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, 43 in increasing order.\nAnswer: 3, 20, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xph when three letters picked without replacement from {h: 1, p: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, r: 10}. What is prob of sequence uuuu?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41 = -24. Suppose -3*o + 33 = 4*z, -z + b = o + 2. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3597, -7192, -10821, -14484, -18181, -21912, -25677?\nAnswer: -29476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c - 2. Let a(j) = -7*j**3 - 8*j**2 + 8*j + 3. Let k(h) = -2*h**3 - 2*h**2 + 2*h + 1. Let i(o) = -2*a(o) + 9*k(o). Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v. Let j(z) = 603*z - 434. Let y(x) = -g(x) + j(x). Differentiate y(s) wrt s.\nAnswer: 611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -47\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/1890)\/(2*2\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 47 - 126)*(-p + 0 + 0)*(0 + 2 + 0 + (-2 + 5 - 1)*(4 - 3 + 0)).\nAnswer: 396*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 298, 645, 1126, 1741, 2490, 3373?\nAnswer: 4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 532*c - 22. Let j be t(-2). Calculate the common denominator of -57\/10 and j\/140 - 26\/182.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*y**3 + 13492*y + 1775695?\nAnswer: -114*y**2 + 13492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.009 + -0.161. What is the biggest value in f, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 9. Let d be s(7). Let j = 16 + d. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7687495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.61 to one decimal place.\nAnswer: -86.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t - 6*t - 145 + 12 - 9*t in the form m + k*t and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1845, 3108, 4587, 6288, 8217, 10380, 12783?\nAnswer: 15432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - y = 50, 5*c - 50 = -0*y - 2*y. Let o be 5*4\/c + -2. Is -2\/23 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4790 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -10*c**4 - 2745*c**3 + 44735*c**2 - 62280*c + 20300 = 0.\nAnswer: -290, 1\/2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 11694*v**3 - 46713*v**2 + 46524*v + 252 = 0.\nAnswer: -21\/3898, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865035?\nAnswer: 3, 5, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + (-7 - -4 - -63) is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29765, 61026, 92287?\n\"Answer: 31261*l - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/(sqrt(500) - sqrt(500)*-1) + 5 + 1 + sqrt(3) + 1)*6)**2.\nAnswer: 2646*sqrt(3)\/5 + 188307\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10759080 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: Let q = -49\/3 - -31\/2. Let x be 76\/20 + 2\/10. Suppose -5*i + f - 5 = 0, -x*f + 16 = -4. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 - -287. Let n(z) = -z**2 - 3*z - 3. Calculate n(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/21)\/(6\/21) - 0. Which is the fourth smallest value? (a) j (b) -1\/4 (c) -3 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 + 254*n - 20165\/2 = 0. What is n?\nAnswer: -545, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -889 + 1056 - (1 + 44) - -9?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -11, 12, 61, 142?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1154 divided by 1\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 - 2*m**3 + (-6 - m**2 + 3 + 1)*(-15 + 15 + 9*m).\nAnswer: -11*m**3 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 27 = -4*i, 4*r - 1 + 33 = -4*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 270776*q**2\/9 + 9164955272*q\/9.\nAnswer: 2*q*(q + 67694)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 393300 and 138.\nAnswer: 393300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 551, 368, 207, 80, -1, -24, 23, 152?\n\"Answer: 2*h**3 - h**2 - 194*h + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 96*n**2 - 33807*n - 133500 = 0. Calculate n.\nAnswer: -89, -4, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 683508 divided by -3?\nAnswer: -227836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1118714, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = -16. Calculate the lowest common multiple of i and 1\/(((-32)\/256)\/(155\/(-20))).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**31*p*p**18 assuming p is positive.\nAnswer: p**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91483939 to the nearest integer?\nAnswer: 9565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 134, 320, 684, 1286, 2186?\n\"Answer: 10*b**3 - b**2 + b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 545515 < 545122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 8, 24, 157 in decreasing order.\nAnswer: 157, 24, 11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -8) + 1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 1280 = -13*g. Let y = g - 85. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 960*f**3 + 61263*f**2 + 192510*f.\nAnswer: 3*f*(f - 230)*(f - 93)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026451 rounded to 5 dps?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/8, 0.3, 0.0458462?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(18\/7)\/i**(3\/29)*(i**7*i)**47 assuming i is positive.\nAnswer: i**(76829\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/540 + 52*y**5\/135 - 3589*y**4\/108 + 13690*y**3\/9 - 15566*y**2. Factor c(g).\nAnswer: -2*(g - 37)**2*(g - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4042 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -375*i - 1. Let v(c) = 351*c. Determine v(g(a)).\nAnswer: -131625*a - 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 200063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r - 5*g + 26, -3*r = -3*g - 33. Suppose -o - 28 - r = 0. Let u = 105 - o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*d + 6*d, -4*z - 6*d = 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (228*16\/240)\/((8\/(-6))\/((-210)\/63))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/198)\/(74\/(-12284)) and -52\/297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**0*k\/(k*k*k**(-8)))\/(k*k**8\/k*k**1\/k))**(-46) assuming k is positive.\nAnswer: k**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 7*p - p + 29 - 19, 134 = -3*d - 4*p for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -5\/18*d**3 - 5\/12*d**4 + 7 - 1\/6*d**5 + 0*d**2 + 0*d. Solve a(w) = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786411509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 4. Let p(i) = -3*i + 2 - 2 - 5 + 7*i. Let m(y) = 6*p(y) + 7*x(y). Let s(r) = 3*r + 2. Give 2*m(z) + 3*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -206, 138, 4, 3 in descending order.\nAnswer: 138, 6, 4, 3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 21 = 27. Suppose 0 = -6*p - o*p + 72. Let a = p + 3. What is the lowest common multiple of 47 and a?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-6)\/34) - 70\/105. Solve h*z = 2*p + 28, 0*z + 3*z - 5*p = 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -5. Let n = g - -1. Which is the smallest value? (a) n (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/14 and ((-195)\/3500)\/(17\/102)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/10)\/(3240\/(-600))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2. Let t(w) = 489*w. Give a(t(d)).\nAnswer: 478242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1209.8 * -4.\nAnswer: 4839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/5, -2\/3, -16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -113*x - 257. What is the remainder when c(-4) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let a = 6 + m. Let b = a - -6. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9*r\/(r**(2\/23)*r*r) assuming r is positive.\nAnswer: r**(182\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 - 9*s - 5. Let a be d(9). Let l(u) = u + 6. Let b be l(-6). List the prime factors of 1\/2*b - a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2*b**2 - 2*b - 2. Let o(i) = i**3 - 4*i**2 - 62*i + 2. Give o(f) - 2*w(f).\nAnswer: -f**3 - 58*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:25 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5 and 43\/540368149?\nAnswer: 2701840745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (2 - (-2 + 21) - -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 7*h + 8. Let s be -1*(-1 + 3) - -8. Let w be d(s). Suppose 10 = 2*y - w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33246 >= 33268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -124 + 8?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 63*v**2 - 32*v - 1. Let l be m(32). Let h be (-72)\/36 - (-1)\/2. Sort -0.5, -1\/3, h, l in decreasing order.\nAnswer: -1\/3, -0.5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -5, 13.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844226867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54792 is divided by 2736.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/685104 and -115\/126?\nAnswer: 2055312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 48*c**3 - 10 + 2*c**2 - 5 + 12 in the form r*c**3 + s*c + j*c**2 + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -0.22 (c) -0.4 (d) -80 (e) 191\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 - 12*z - 29. Let i = 185 - 175. Let x be f(i). What is the highest common factor of 867 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/5 - 2\/5. Let v = 28 + -23. Suppose 9 = v*m - 1. Solve 0 = -j*a + 2*u - 13, m*a - 3*u = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:32 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010110110 - 100?\nAnswer: 1010010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -47*l**3\/6 - 3*l**2 - 2*l + 9. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50857497.16 to the nearest 100000.\nAnswer: 50900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 86, -3, 4 in descending order.\nAnswer: 86, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let a(g) = -4*g**2 - 2 + 3*g + g**3 + 0*g**d - 1. What is a(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 0)\/16*-8. Let r(o) = 9*o**2 - 11*o + 38. What is the remainder when r(n) is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 2:16 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/6 + 63*v. Let a(f) = 2*f**2. Give a(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1360*l - 252. Does 40 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 0)*(-8 + 8 + 10*q) as d*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3 + 4 - r**2 - 11 + 3. Let u(a) = -5*a**2 - 5. Calculate u(t) - 4*y(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/90 - 31*n**4\/54 + 23*n**3\/9 + 11*n**2 - 105*n - 3. Factor i(q).\nAnswer: -2*(q - 3)*(q + 1)*(q + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2242 and 962998?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-385)\/21)\/55)\/(2\/138)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 8*l - 13. Let k be q(-10). Solve -2*c + k*c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 2 - q**2 + 3*q + 0*q**2 + 10 to the form b*q + u + f*q**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j + 4*h, 0 = -j - 3*h + 6*h - 12. Let l be 4\/(4\/5) - j. What is the second derivative of -r + 21*r - l*r + 24*r**4 wrt r?\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -6. Let s = k + 2.6. Which is the closest to s? (a) 0.5 (b) 2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(63)*-4)**2 + -3.\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -110*n. Let x be i(-1). Let l(d) = -d**2 - 71*d + 831. Let u be l(9). Is u at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/267 and 13\/5.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/50*15\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82dccc + 5?\nAnswer: -82dcc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 42, -1\/25, 195\/4, 1.7.\nAnswer: -1\/25, 1, 1.7, 2, 42, 195\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10387241, 20774484, 31161727, 41548970?\n\"Answer: 10387243*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810 = 126*c - 72 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:26 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 28*d**2 + 36*d - 88. Let h be s(15). Find l, given that 2\/5*l**h + 0*l + 2\/5*l**5 - 3\/5*l**3 - 3\/5*l**4 + 0 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 - 3*q. Let h = 45 - 43. What is b(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18361 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*q - 674*q + 339*q to the form f*q + o and give f.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - 1071 = -104*n + 2997 + 12 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/47, 0.1, -0.83?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - 15.4. Let w = -20.5 - r. Let b = 9.5 + w. Which is smaller: b or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*z**3 - 24\/7*z**2 + 1566\/7*z - 220.\nAnswer: -2*(z - 22)*(z - 1)*(z + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/361*-19 + 2\/1. Solve 9 = m*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-2))\/(-42*27\/(-21546)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:44 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 207203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372*0.4.\nAnswer: 148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 - -1) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(-8)\/y)**(-42) assuming y is positive.\nAnswer: y**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/75 - 3*h**5\/25 + 11*h**4\/30 - 2*h**3\/5 - 7*h - 30. Factor i(q).\nAnswer: 2*q*(q - 3)*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 214408 (base 9) to base 15\nAnswer: 27d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 29103 - 231903 = 0. Let f = -331400 - w. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + t**2 + 166*t + 1068. What is j(-6)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 - 5057.11?\nAnswer: -5056.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13187 is divided by 119?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 41. Let u = 23 - y. Find the first derivative of 5*b**4 - 1 - 4*b**u - 5 + 3*b**4 wrt b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1915\/88 + 185\/8. What is the common denominator of d and ((-33)\/(-88))\/(18\/(-472))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 126*p + 956. Give d(-118).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55337*d**2 - 71560*d wrt d?\nAnswer: 110674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/((-3)\/(-76)*19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*b - 16*b - 7*b)*(18*b**4 + 14*b**3 - 28*b**4 + 13*b**4).\nAnswer: 51*b**5 + 238*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from crzzhphihhichhhih?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 5 + -6 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -104. Let p = 36.6 - q. Which is the nearest to -9? (a) p (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbkfrbbbbkbbxkxb?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d**2 + 1\/3 + 0*d.\nAnswer: -(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m. Suppose 3*o - a = 14, 10 - 33 = -5*o + 2*a. Suppose 2*q - 1 = z - 0*q, 5*z + o*q = -5. Calculate x(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 307 = -351 - 6454. What is the remainder when f is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxq when three letters picked without replacement from {o: 2, x: 2, g: 3, q: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30075 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 3*f - 24. Suppose -4*s = -6*s + 24. Suppose 0 = -9*g + 42 + s. Let n be j(g). Let z(p) = -p**3 - 5*p**2 + 4*p + 9. Give z(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221197200 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14*25\/(-2975) + 4\/34\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169\/4 - 43. Let o = 2 + -3. Let q = 120.94 + -125.94. Which is the biggest value? (a) -0.1 (b) q (c) o (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkgzgbdzugdgg. Give prob of picking 3 d.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 9*x - 8. Let i(g) = -2*g + 6. Suppose 2 + 28 = 5*y. Let h be i(y). List the prime factors of l(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.5 (c) -2\/7 (d) -2 (e) 171\/13 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 - 2*m + 2 + 2*m)*(6 + 1 - 3) + 4*m**4 - 4*m**4 - m**5.\nAnswer: -9*m**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148789?\nAnswer: 19, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6*u**3 + 7)*(2*u + 2*u + 0*u).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102551 is divided by 5127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 24*p**2 + 33*p - 30. Let n be c(-10). What is the highest common divisor of 540 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -59 + 117 - 53. Let k(i) be the third derivative of -i**4\/24 + i**3 + 22*i**2. Give 3*k(d) - 4*l(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q - 2*q)*(2*q**2 - 3*q**2 + 4*q**2)*(-11 + 17 + 3 + (2 + 2 - 2)*(-3 + 0 + 2) + 3 - 6 + 2 - 6 + 4 + 4 + 4 + 0 - 3).\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**2 + 4*d + 2\/3*d**4 + 0 + 0*d**3. Let s(k) = -3*k - k + 2*k. Calculate a(s(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-168)\/16)\/(18\/(-984))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1103 - 143?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4980, 3, -30 in increasing order.\nAnswer: -4980, -30, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3923261951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**5 + 20*x**5 - 67*x**5 + (0 + 1 + 4)*(x**5 + 3 - 3) + 0*x**5 - 4*x**5 + 3*x**5.\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3 - 1 - 5*o + o**2 + 2 - 1. Suppose 4 + 0 = 2*l - 3*u, 5*l - 2*u = 21. Suppose 3*m - 1 - 8 = -2*k, 0 = -l*m + 2*k + 31. Calculate v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 3. Let j be o(4). Let r(d) = -8*d - 1. Let w be r(j). Let i = 4 + w. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/120 - q**4\/3 - 9*q**3 + 3*q + 2. Let t(s) be the second derivative of y(s). Calculate t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/5 + 0)*(-1)\/(-33). What is the smallest value in 1\/2, 1, -6\/13, u?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4\/2 + 25*o**3\/2 - 5*o**2\/2 - 25*o\/2 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:06 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3\/3 - 11*s - 2. Let q be w(0). Let m = 17 + q. Solve -m*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*s + 34*j*s**3 + 2*j*s**2 - 37*s**3 - 8*s**2 wrt j.\nAnswer: -3*j**2*s + 34*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.4 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 30*j - 85. What is u(13)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4620.442 - -76422243\nAnswer: 76417622.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-4205)\/(-3200)) - -5) + (-4)\/58.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.942 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -46. Let t(z) be the second derivative of 0 - z + 0*z**3 - 2\/105*z**c + 0*z**4 + 0*z**2 - 1\/70*z**5 - 1\/147*z**7. Factor t(u).\nAnswer: -2*u**3*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 141252 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 0.4, 4, -13681, -3\/8, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 4 - 1\/(65\/5304*-9)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-16)*-2 + (-92)\/(-16). Suppose 8*x = -t + l*x + 52, 0 = 4*x + 20. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -1\/48*m**5 - 1\/96*m**6 + 5\/1344*m**8 + 15*m**2 + 1\/168*m**7 + 0*m**3 + 2*m + 0*m**4 + 0. Factor k(f).\nAnswer: 5*f**2*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 10270624*z + 13185714668672 = 0. Calculate z.\nAnswer: 2567656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-25 + 1)) + 5. Suppose 20*w**3 - 3*w**3 - 5*w**3 - 8*w**3 + 48 - 4*w**2 - c*w = 0. What is w?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 2. Suppose 4*w = -4*t - 16, 17 = -2*w - 5*t + 3. Suppose 2*r - 1 - 7 = 0. Let j(b) = -r*b - 3 + 0*b**2 + b**2 + b. Determine w*j(z) - 3*u(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1227 and 30?\nAnswer: 12270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7505 at most -147.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(242))*1)**2*3*3.\nAnswer: 594*sqrt(2) + 2259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18923 is divided by 861?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/2)\/k))**12*k**4\/(k**(-1)*k) assuming k is positive.\nAnswer: k**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*x**4 + 1592211*x**3 + 3422679*x**2 + 443256*x - 78228 = 0 for x.\nAnswer: -2173, -2, -1\/4, 6\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2015, 8151, 18399, 32759, 51231, 73815?\n\"Answer: 2056*n**2 - 32*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Suppose -26 = -z + 4*g, 37 = 2*z + g - t*g. Let l = 7 - -41. What is the highest common factor of l and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*v = -307, -5*v = -r - 4*r - 705. Let u = -870 - r. Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059931489 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/3872*(-187)\/(-51).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*b + s - 2*s, -4*b + 27 = 5*s. Suppose -2*r - 10 = -3*k - 0, -b*k = -6. Let z be (70\/20)\/((-1)\/r). Solve -25 = -z*q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -242 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}